diff --git a/.github/ISSUE_TEMPLATE/new-unit-code.yaml b/.github/ISSUE_TEMPLATE/new-unit-code.yaml
new file mode 100644
index 0000000..4f2a817
--- /dev/null
+++ b/.github/ISSUE_TEMPLATE/new-unit-code.yaml
@@ -0,0 +1,70 @@
+---
+name: New code request form
+description: A request for a new code to be added to UCUM.
+title: '[Request for]:'
+labels: new_code_request
+assignees: ''
+body:
+- type: markdown
+ attributes:
+ value: '## Thanks for suggesting a new code
+
+Please provide
+
+1. the proposed code
+
+2. a definition and a literature reference which provides a scientific definition.
+
+3. the definition value for the proposed unit using an existing unit for this quantity (preferably the SI unit)
+
+If the conversion factor and offset are not known, or direct conversion to an SI unit is not possible, then please provide justification for why the proposed code is a true unit of measure and which community or discipline uses it.
+
+Note the scope of UCUM is science, healthcare, engineering, and business (not including currencies). Units outside this context are discouraged.
+
+Please include the unit code in the issue title.'
+- type: input
+ id: code
+ attributes:
+ label: new code
+ description: label with no punctuation except `-` and `_`. May be enclosed in [brackets] if it is a 'conventional' unit. Annotation elements should be enclode in {braces}.
+ placeholder: code
+ validations:
+ required: true
+- type: textarea
+ id: definition
+ attributes:
+ label: definition
+ description: textual definition
+ placeholder: definition
+ validations:
+ required: true
+- type: input
+ id: sourceURI
+ attributes:
+ label: source of definition (URI)
+ description: URI for the source of the definition
+ placeholder: URI
+- type: textarea
+ id: source
+ attributes:
+ label: source of definition (citation)
+ description: citation for the source of the definition
+ placeholder: citation
+- type: input
+ id: definition-value
+ attributes:
+ label: definition value
+ description: the size of the unit expressed using the reference unit for this quantity kind - e.g. 1 atm = 101325 Pa
+ placeholder: definition value
+- type: textarea
+ id: scopeNote
+ attributes:
+ label: usage- or scope-note
+ description: scope note
+ placeholder: note
+- type: textarea
+ id: comment
+ attributes:
+ label: additional information
+ description: comment
+ placeholder: comment
diff --git a/CHANGELOG.md b/CHANGELOG.md
index a158120..1b30b8d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,15 +4,6 @@ All notable changes to this project will be documented in this file.
The following has been ported from a legacy system and may not be formatted correctly.
-## Version 2.2
-
-This release contains numerous typographical corrections, updates to constants, and 12 new units.
-
-### New units
-
-- To be enumerated
-
-
## Version 2.1
This fixes 4 defects of the specification itself. No new units.
diff --git a/README.md b/README.md
index ea21c73..ad4e054 100644
--- a/README.md
+++ b/README.md
@@ -1,3 +1,5 @@
-# CAUTION: THIS IS A WORK IN PROGRESS
+# This project was recently migrated to GitHub
-Please see the current website at [https://ucum.org](https://ucum.org).
+In September 2022, UCUM fully migrated its platform from a self-hosted Subversion repository and Trac ticketing system to GitHub. Please pardon our dust as we continue to evolve. We ask that you submit errors or questions using GitHub's [Issues](https://github.com/ucum-org/ucum/issues) feature.
+
+The UCUM website is available at [https://ucum.org](https://ucum.org). All previous links should redirect to their new locations.
diff --git a/ucum-state-automaton.vsd b/build/ucum-state-automaton.vsd
similarity index 100%
rename from ucum-state-automaton.vsd
rename to build/ucum-state-automaton.vsd
diff --git a/ucum-ci.units b/ucum-ci.units
index 98f09a5..8b9388f 100644
--- a/ucum-ci.units
+++ b/ucum-ci.units
@@ -190,7 +190,7 @@ ROE = 2.58e-4 C/kg metric # Roentgen
[NMI_BR] = 6080 [ft_br] nonmetric # nautical mile
[KN_BR] = 1 [nmi_br]/h nonmetric # knot
[ACR_BR] = 4840 [yd_br]2 nonmetric # acre
-[GAL_US] = 231 [in_i]3 nonmetric # Queen Anne's wine gallon
+[GAL_US] = 231 [in_i]3 nonmetric # Queen Anne's wine gallon
[BBL_US] = 42 [gal_us] nonmetric # barrel
[QT_US] = 1 [gal_us]/4 nonmetric # quart
[PT_US] = 1 [qt_us]/2 nonmetric # pint
@@ -250,16 +250,16 @@ ROE = 2.58e-4 C/kg metric # Roentgen
[DEGF] = degf(5 K/9) nonmetric # degree Fahrenheit
[degR] = 5 K/9 nonmetric # degree Rankine
[degRe] = degre(5 K/4) nonmetric # degree Réaumur
-CAL_[15] = 4.18580 J metric # calorie at 15 °C
-CAL_[20] = 4.18190 J metric # calorie at 20 °C
+CAL_[15] = 4.18580 J metric # calorie at 15 °C
+CAL_[20] = 4.18190 J metric # calorie at 20 °C
CAL_M = 4.19002 J metric # mean calorie
CAL_IT = 4.1868 J metric # international table calorie
CAL_TH = 4.184 J metric # thermochemical calorie
CAL = 1 cal_th metric # calorie
[CAL] = 1 kcal_th nonmetric # nutrition label Calories
-[BTU_39] = 1.05967 kJ nonmetric # British thermal unit at 39 °F
-[BTU_59] = 1.05480 kJ nonmetric # British thermal unit at 59 °F
-[BTU_60] = 1.05468 kJ nonmetric # British thermal unit at 60 °F
+[BTU_39] = 1.05967 kJ nonmetric # British thermal unit at 39 °F
+[BTU_59] = 1.05480 kJ nonmetric # British thermal unit at 59 °F
+[BTU_60] = 1.05468 kJ nonmetric # British thermal unit at 60 °F
[BTU_M] = 1.05587 kJ nonmetric # mean British thermal unit
[BTU_IT] = 1.05505585262 kJ nonmetric # international table British thermal unit
[BTU_TH] = 1.054350 kJ nonmetric # thermochemical British thermal unit
@@ -359,4 +359,4 @@ SPH = 4 [pi].sr nonmetric # spere
BIT_S = ld(1 1) nonmetric # bit
BIT = 1 1 metric # bit
BY = 8 bit metric # byte
-BD = 1 /s metric # baud
+BD = 1 /s metric # baud
\ No newline at end of file
diff --git a/ucum-cs.units b/ucum-cs.units
index dae2f87..614aad9 100644
--- a/ucum-cs.units
+++ b/ucum-cs.units
@@ -190,7 +190,7 @@ REM = 1 RAD metric # radiation equivalent man
[nmi_br] = 6080 [ft_br] nonmetric # nautical mile
[kn_br] = 1 [nmi_br]/h nonmetric # knot
[acr_br] = 4840 [yd_br]2 nonmetric # acre
-[gal_us] = 231 [in_i]3 nonmetric # Queen Anne's wine gallon
+[gal_us] = 231 [in_i]3 nonmetric # Queen Anne's wine gallon
[bbl_us] = 42 [gal_us] nonmetric # barrel
[qt_us] = 1 [gal_us]/4 nonmetric # quart
[pt_us] = 1 [qt_us]/2 nonmetric # pint
@@ -250,16 +250,16 @@ REM = 1 RAD metric # radiation equivalent man
[degF] = degf(5 K/9) nonmetric # degree Fahrenheit
[degR] = 5 K/9 nonmetric # degree Rankine
[degRe] = degre(5 K/4) nonmetric # degree Réaumur
-cal_[15] = 4.18580 J metric # calorie at 15 °C
-cal_[20] = 4.18190 J metric # calorie at 20 °C
+cal_[15] = 4.18580 J metric # calorie at 15 °C
+cal_[20] = 4.18190 J metric # calorie at 20 °C
cal_m = 4.19002 J metric # mean calorie
cal_IT = 4.1868 J metric # international table calorie
cal_th = 4.184 J metric # thermochemical calorie
cal = 1 cal_th metric # calorie
[Cal] = 1 kcal_th nonmetric # nutrition label Calories
-[Btu_39] = 1.05967 kJ nonmetric # British thermal unit at 39 °F
-[Btu_59] = 1.05480 kJ nonmetric # British thermal unit at 59 °F
-[Btu_60] = 1.05468 kJ nonmetric # British thermal unit at 60 °F
+[Btu_39] = 1.05967 kJ nonmetric # British thermal unit at 39 °F
+[Btu_59] = 1.05480 kJ nonmetric # British thermal unit at 59 °F
+[Btu_60] = 1.05468 kJ nonmetric # British thermal unit at 60 °F
[Btu_m] = 1.05587 kJ nonmetric # mean British thermal unit
[Btu_IT] = 1.05505585262 kJ nonmetric # international table British thermal unit
[Btu_th] = 1.054350 kJ nonmetric # thermochemical British thermal unit
@@ -359,4 +359,4 @@ sph = 4 [pi].sr nonmetric # spere
bit_s = ld(1 1) nonmetric # bit
bit = 1 1 metric # bit
By = 8 bit metric # byte
-Bd = 1 /s metric # baud
+Bd = 1 /s metric # baud
\ No newline at end of file
diff --git a/ucum-essence.xml b/ucum-essence.xml
index c8a9b3e..c6f2361 100755
--- a/ucum-essence.xml
+++ b/ucum-essence.xml
@@ -1,7 +1,7 @@
-
+yottaY
@@ -2044,4 +2044,4 @@
Ti1099511627776
-
+
\ No newline at end of file
diff --git a/ucum-source.xml b/ucum-source.xml
index aab015d..6d25610 100644
--- a/ucum-source.xml
+++ b/ucum-source.xml
@@ -1,10 +1,11 @@
-
@@ -57,8 +58,9 @@
The Unified Code for Units of Measure
- 2.2
- 2022-09-20
+ 2.1
+ $Revision$
+ $Date$Gunther Schadow
@@ -71,7 +73,7 @@
- 1998-2022, Regenstrief Institute, Inc. and the UCUM Organization. All rights reserved.
+ 1998-2014, Regenstrief Institute, Inc. and the UCUM Organization. All rights reserved.
@@ -5451,3 +5453,4 @@ This license shall be construed and interpreted in accordance with the laws of t
+
diff --git a/ucum.html b/ucum.html
index 63cb51e..7812403 100644
--- a/ucum.html
+++ b/ucum.html
@@ -1,1557 +1,1098 @@
-
-
- The Unified Code for Units of Measure
-
-
-
The Unified Code for Units of Measure
-
-
+
+
+
+ The Unified Code for Units of Measure
+
+
+
+
+
+
+
+
The Unified Code for Units of Measure
+
+
Gunther Schadow Pragmatic Data LLC
-
-
+
+
Clement J. McDonald National Library of Medicine, Lister Hill
The Unified Code for Units of Measure is a code system intended to include all units of
- measures being contemporarily used in international science,
- engineering, and business. The purpose is to facilitate unambiguous
- electronic communication of quantities together with their units. The
- focus is on electronic communication, as opposed to communication
- between humans. A typical application of The Unified Code for Units of Measure are electronic data
- interchange (EDI) protocols, but there is nothing that prevents it
- from being used in other types of machine communication.
-
-
-
The Unified Code for Units of Measure is inspired by and heavily based on ISO 2955-1983, ANSI
- X3.50-1986, and HL7's extensions called “ISO+”. The
- respective ISO and ANSI standards are both entitled
- “Representation of [...] units in systems with limited
- character sets” where ISO 2955 refers to SI and other units
- provided by ISO 1000-1981, while ANSI X3.50 extends ISO 2955 to
- include U.S. customary units. Because these standards carry the
- restriction of “limited character sets” in their names
- they seem to be of less value today, when graphical user interfaces and
- laser printers are in wide-spread use. For this reason, the european
- standard ENV 12435 in its clause 7.3 declares ISO 2955 obsolete.
-
-
-
- ENV 12435 is dedicated exclusively to the communication of
- measurements between humans in display and print, and does not provide
- codes that can be used in communication between systems. It does not
- even provide a specification that would allow communication of units
- from one system to the screen or printer of another system. The issue
- about displaying units in the common style defined by the 9th
- Conférence Générale des Poids et Mesures
- (CGPM) in 1947 is not just the character set. Although the
- Unicode standard and its predecessor ISO/IEC 10646 is
- the richest character set ever, it is still not enough to specify the
- presentation of units, because there are important typographical
- details such as superscripts, subscripts, roman and
- italics.1
-
- The real value of the restriction on the character set and
- typographical details, however, is not to cope with legacy systems and
- less powerful technology, but to facilitate unambiguous communication
- and interpretation of the meaning of units from one computer system to
- another. In this respect, ISO 2955 and ANSI X3.50 are not
- obsolete because there is no other standard that would fill in for
- inter-systems communication of units. However, ISO 2599 and ANSI
- X3.50 currently have severe defects:
-
-
-
-
- ISO 2955 and ANSI X3.50 contain numerous name conflicts,
- both direct conflicts (e.g., “a” being used
- for both “year” and “are”) and conflicts
- that are generated through combination of unit symbols with prefixes
- (e.g., “cd” means candela and centi-day and
- “PEV” means peta-volt and pico-electronvolt.)
-
-
- Neither ISO 2955 nor ANSI X3.50 cover all units that are
- currently used in practice. There are many more units in use than what
- is allowed by the Système International
- d'Unités (SI) and accompanying standards. For example,
- the older CGM-units dyne and erg are still used in the science of
- physiology. Although ANSI X3.50 extends ISO 2955 with some
- U.S. customary units, it is still not complete in this respect. For
- example it does not define the degree Fahrenheit.
-
-
- ANSI X3.50 is semantically ambiguous with respect to customary
- units, even if we do not consider the history and international
- aspects of customary units. Three systems of mass units are used in
- the U.S., avoirdupois used generally, apothecaries' used by
- pharmacists, and troy used in trade with Gold and other precious
- metals. ANSI X3.50 has no way to select any one of those
- specifically, which is bad in medicine, where both apothecaries' and
- avoirdupois weights are being used frequently.
-
-
-
- ISO 2955 and all standards that do only look for the resolutions
- and recommendations of the CGPM and the Comité
+
Introduction
+
+
+
+
The Unified Code for Units of Measure is a code system intended to include all units of measures being contemporarily used in international science, engineering, and business. The purpose is to facilitate unambiguous electronic communication
+ of quantities together with their units. The focus is on electronic communication, as opposed to communication between humans. A typical application of The Unified Code for Units of Measure are electronic data interchange (EDI) protocols,
+ but there is nothing that prevents it from being used in other types of machine communication.
+
+
+
The Unified Code for Units of Measure is inspired by and heavily based on ISO 2955-1983, ANSI X3.50-1986, and HL7's extensions called “ISO+”. The respective ISO and ANSI standards are both entitled “Representation of [...] units in systems
+ with limited character sets” where ISO 2955 refers to SI and other units provided by ISO 1000-1981, while ANSI X3.50 extends ISO 2955 to include U.S. customary units. Because these standards carry the restriction of “limited character
+ sets” in their names they seem to be of less value today, when graphical user interfaces and laser printers are in wide-spread use. For this reason, the european standard ENV 12435 in its clause 7.3 declares ISO 2955 obsolete.
+
+
+
+ ENV 12435 is dedicated exclusively to the communication of measurements between humans in display and print, and does not provide codes that can be used in communication between systems. It does not even provide a specification that would allow communication
+ of units from one system to the screen or printer of another system. The issue about displaying units in the common style defined by the 9th
+ Conférence Générale des Poids et Mesures (CGPM) in 1947 is not just the character set. Although the
+ Unicode standard and its predecessor ISO/IEC 10646 is the richest character set ever, it is still not enough to specify the presentation of units, because there are important typographical details such as superscripts, subscripts,
+ roman and italics.
+ 1
+
+ The real value of the restriction on the character set and typographical details, however, is not to cope with legacy systems and less powerful technology, but to facilitate unambiguous communication and interpretation of the meaning of units from one
+ computer system to another. In this respect, ISO 2955 and ANSI X3.50 are not obsolete because there is no other standard that would fill in for inter-systems communication of units. However, ISO 2599 and ANSI X3.50 currently have severe
+ defects:
+
+
+
+
+ ISO 2955 and ANSI X3.50 contain numerous name conflicts, both direct conflicts (e.g., “a” being used for both “year” and “are”) and conflicts that are generated through combination of unit symbols with prefixes (e.g.,
+ “
+ cd” means candela and centi-day and “
+ PEV” means peta-volt and pico-electronvolt.)
+
+
+
+ Neither ISO 2955 nor ANSI X3.50 cover all units that are currently used in practice. There are many more units in use than what is allowed by the Système International
+ d'Unités (SI) and accompanying standards. For example, the older CGM-units dyne and erg are still used in the science of physiology. Although ANSI X3.50 extends ISO 2955 with some U.S. customary units, it is still not complete
+ in this respect. For example it does not define the degree Fahrenheit.
+
+
+
+ ANSI X3.50 is semantically ambiguous with respect to customary units, even if we do not consider the history and international aspects of customary units. Three systems of mass units are used in the U.S., avoirdupois used generally, apothecaries'
+ used by pharmacists, and troy used in trade with Gold and other precious metals. ANSI X3.50 has no way to select any one of those specifically, which is bad in medicine, where both apothecaries' and avoirdupois weights are being used
+ frequently.
+
+
+
+ ISO 2955 and all standards that do only look for the resolutions and recommendations of the CGPM and the Comité
International des Poids et Mesures (CIPM) as published by the
- Bureau International des Poids et Mesures (BIPM) and various
- ISO standards (ISO 1000 and ISO 31) fail to recognize that
- the needs in practice are often different from the ideal propositions
- of the CGPM. Although not allowed by the CGPM and related ISO
- standards, many other units are used in international sciences,
- healthcare, engineering, and business, both meaningfully and some
- units of questionable meaning. A coding system that is to be useful in
- practice must cover the requirements and habits of the
- practice—even some of the bad habits.
-
-
-
- None of the current standards attempt to specify a semantics of units
- that can be deployed in information systems with moderate
- requirements. Metrological standards such as those published by the
- BIPM are dedicated to maximal scientific correctness of reproducible
- definitions of units. These definitions make sense only to human
- specialists and can hardly be deployed to their full extent by any
- information system that is not dedicated to metrology. On the other
- hand, ISO 2955 and ANSI X3.50 provide no semantics at all for the
- codes they define.
-
-
-
The Unified Code for Units of Measure provides a single coding system for units that is complete,
- free of all ambiguities, and that assigns to each defined unit a
- concise semantics. In communication it is not only important that all
- communicating parties have the same repertoir of symbols, but also that
- all attach the same meaning to the symbols they exchange. The common
- meaning must be computationally verifiable. The Unified Code for Units of Measure assumes a
- semantics for units based on dimensional analysis.2
-
- In short, each unit is defined relative to a system of base units by a
- numeric factor and a vector of exponents by which the base units
- contribute to the unit to be defined. Although we can reflect all the
- meaning of units covered by dimensional analysis with this vector
- notation, the following tables do not show these vectors. One reason
- is that the vectors depend on the base system chosen and even on the
- ordering of the base units. The other reason is that these vectors are
- hard to understand to human readers while they can be easily derived
- computationally. Therefore we define new unit symbols using algebraic
- terms of other units. Those algebraic terms are also valid codes of
- The Unified Code for Units of Measure.
-
-
-
-
+ Bureau International des Poids et Mesures (BIPM) and various ISO standards (ISO 1000 and ISO 31) fail to recognize that the needs in practice are often different from the ideal propositions of the CGPM. Although not allowed
+ by the CGPM and related ISO standards, many other units are used in international sciences, healthcare, engineering, and business, both meaningfully and some units of questionable meaning. A coding system that is to be useful in practice must
+ cover the requirements and habits of the practice—even some of the bad habits.
+
+
+
+ None of the current standards attempt to specify a semantics of units that can be deployed in information systems with moderate requirements. Metrological standards such as those published by the BIPM are dedicated to maximal scientific correctness of
+ reproducible definitions of units. These definitions make sense only to human specialists and can hardly be deployed to their full extent by any information system that is not dedicated to metrology. On the other hand, ISO 2955 and ANSI X3.50
+ provide no semantics at all for the codes they define.
+
+
+
The Unified Code for Units of Measure provides a single coding system for units that is complete, free of all ambiguities, and that assigns to each defined unit a concise semantics. In communication it is not only important that all communicating
+ parties have the same repertoir of symbols, but also that all attach the same meaning to the symbols they exchange. The common meaning must be computationally verifiable. The Unified Code for Units of Measure assumes a semantics for units
+ based on dimensional analysis.
+ 2
+
+ In short, each unit is defined relative to a system of base units by a numeric factor and a vector of exponents by which the base units contribute to the unit to be defined. Although we can reflect all the meaning of units covered by dimensional analysis
+ with this vector notation, the following tables do not show these vectors. One reason is that the vectors depend on the base system chosen and even on the ordering of the base units. The other reason is that these vectors are hard to understand
+ to human readers while they can be easily derived computationally. Therefore we define new unit symbols using algebraic terms of other units. Those algebraic terms are also valid codes of
+ The Unified Code for Units of Measure.
+
+
+
+
-
2
-
+
+ 2
+
-
Grammar of Units and Unit Terms
-
-
-
-
§1 preliminaries
-
- ■1The Unified Code for Units of Measure consists of a basic set of terminal symbols for units, called
- atomic unit symbols or unit atoms, and multiplier
- prefixes. It also consists of an expression syntax by which these
- symbols can be combined to yield valid units.
- ■2
- The tables of terminal symbols are fixed as of every revision of
- The Unified Code for Units of Measure, additions, deletions or changes are not allowed.
- ■3
- All expression that can be derived from these terminal symbols and the
- expression syntax are valid codes. Any expression of The Unified Code for Units of Measure has a
- precisely defined semantics.
-
-
-
- The expression syntax of The Unified Code for Units of Measure generates an infinite number of codes
- with the consequence that it is impossible to compile a table of all
- valid units.
-
-
-
- That the tables of terminal symbols may not be extended does not mean
- that missing symbols will never be available in The Unified Code for Units of Measure. Suggestions
- for additions of new symbols are welcome and revisions of
- The Unified Code for Units of Measure will be released as soon as a change request has been approved.
-
-
-
§2 full and limited conformance
-
- ■1
- The semantics of The Unified Code for Units of Measure implies equivalence classes such that
- different expressions may have the same meaning.
- ■2
- Programs that declare full conformance with The Unified Code for Units of Measure must
- compare unit expressions by their semantics, i.e. they must detect
- equivalence for different expressions with the same meaning.
- ■3
- Programs with limited conformance may compare unit expressions
- literally and thus may not detect equivalence of unit expressions.
-
-
-
- The option for “limited conformace” allows The Unified Code for Units of Measure to be adopted
- even by less powerful systems that can not or do not want to deal with
- the full semantics of units. Those systems typically have a table of
- fixed unit expression literals that may be related to other literals
- with fixed conversion factors. Although these systems will have
- difficulties to receive unit expressions from various sources, they
- will at least send out valid expressions of The Unified Code for Units of Measure, which is an
- important step towards a commonly used coding scheme for units.
-
-
-
-
+
Grammar of Units and Unit Terms
+
+
+
+
§1 preliminaries
+ ■1The Unified Code for Units of Measure consists of a basic set of terminal symbols for units, called
+ atomic unit symbols or unit atoms, and multiplier prefixes. It also consists of an expression syntax by which these symbols can be combined to yield valid units.
+ ■2 The tables of terminal symbols are fixed as of every revision of
+ The Unified Code for Units of Measure, additions, deletions or changes are not allowed.
+ ■3 All expression that can be derived from these terminal symbols and the expression syntax are valid codes. Any expression of The Unified Code for Units of Measure has a precisely defined semantics.
+
+
+
+ The expression syntax of The Unified Code for Units of Measure generates an infinite number of codes with the consequence that it is impossible to compile a table of all valid units.
+
+
+
+ That the tables of terminal symbols may not be extended does not mean that missing symbols will never be available in The Unified Code for Units of Measure. Suggestions for additions of new symbols are welcome and revisions of
+ The Unified Code for Units of Measure will be released as soon as a change request has been approved.
+
+
+
§2 full and limited conformance
+ ■1 The semantics of The Unified Code for Units of Measure implies equivalence classes such that different expressions may have the same meaning.
+ ■2 Programs that declare full conformance with The Unified Code for Units of Measure must compare unit expressions by their semantics, i.e. they must detect equivalence for different expressions
+ with the same meaning.
+ ■3 Programs with limited conformance may compare unit expressions literally and thus may not detect equivalence of unit expressions.
+
+
+
+ The option for “limited conformace” allows The Unified Code for Units of Measure to be adopted even by less powerful systems that can not or do not want to deal with the full semantics of units. Those systems typically have a table of
+ fixed unit expression literals that may be related to other literals with fixed conversion factors. Although these systems will have difficulties to receive unit expressions from various sources, they will at least send out valid expressions of
+ The Unified Code for Units of Measure, which is an important step towards a commonly used coding scheme for units.
+
+
+
+
-
2.1
-
+
+ 2.1
+
-
Character Set and Lexical Rules
-
-
-
-
§3 character set
-
- ■1 All expressions of The Unified Code for Units of Measure shall be built from characters of
- the 7-bit US-ASCII character set exclusively.
- ■2 Terminal unit symbols can consist of all ASCII characters in
- the range of 33–126 (0x21–0x7E) excluding
-
- double quotes (‘"’),
- parentheses (‘(’ and ‘)’),
- plus sign (‘+’'),
- minus sign (‘-’'),
- period (‘.’'),
- solidus (‘/’'),
- equal sign (‘=’'),
- square brackets (‘[’
- and ‘]’), and
- curly braces (‘{’ and ‘}’),
-
- which have special meaning.
- ■3 A terminal unit symbol can not consist of only digits
- (‘0’–‘9’) because
- those digit strings are interpreted as positive integer
- numbers. However, a symbol “10*” is allowed
- because it ends with a non-digit allowed to be part of a symbol.
- ■4 For every terminal symbol there is a case insensitive variant
- defined, to be used when there is a risk of upper and lower case to be
- confused. Although upper and lower case can be mixed in case
- insensitive symbols there is no meaning to the case. Case insensitive
- symbols are incompatible to the case senitive symbols.
-
-
-
- The 7-bit US-ASCII character code is the greatest common denominator
- that can be expected to be available in any communication environment.
- Only very few units normally require symbols from the greek alphabet
- and thus the cost of requiring Unicode does not outweigh the benefit.
- As explained above, the real issue about writing unit terms naturally
- is not the character set but the ability to write subscripts and
- superscripts and distinguish roman letters from italics.
-
-
-
- Some computer systems or programming languages still have the
- requirement of case insensitivity and some humans who are not familiar
- with SI units tend to confuse upper and lower case or can not
- interpret the difference in upper and lower case correctly. For this
- reason the case insensitive symbols are defined. Although The Unified Code for Units of Measure
- does not encourage use of case insensitive symbols where not
- absolutely necessary, in some circumstances the case insensitive
- representation may be the greatest common denominator. Thus some
- systems that can handle case sensitivity may end up using case
- insensitive symbols in order to communicate with less powerful
- systems.
-
-
-
- ISO 2955 and ANSI X3.50 call case sensitive symbols “mixed
- case” and case insensitive symbols “single case” and
- list two columns for “single case” symbols, one for upper
- case and one for lower case. In The Unified Code for Units of Measure all units can be written in
- mixed upper and lower case, but in the case insensitive variant the
- mixing of case does not matter.
-
-
-
- White space is not recognized in a a unit term and should generally
- not occur. UCUM implementations may flag whitespace as an error
- rather than ignore it. Whitespace is not used as a separator of
- otherwise ambiguous parts of a unit term.
-
-
-
§4 prefixes
-
- ■1Metric units (cf. §11) may be
- combinations of a unit symbol with a prefix symbol.
- ■2The unit symbol to be combined with the prefix must not itself
- contain a prefix. Such a prefix-less unit symbol is called unit
- atom.
- ■3Prefix and atom are connected immediately without any
- delimiter. Separation of an optional prefix from the atom occurs on
- the lexical level by finding a matching combination of an optional
- prefix and a unit atom.
- ■4 The prefix is the longest leading substring that matches a
- valid prefix where the remainder is a valid metric unit atom. If no
- such prefix can be matched, the unit atom is without prefix and may be
- both metric or non-metric.[1–3: ISO 1000, 3; ISO 2955-1983, 3.7;
+
Character Set and Lexical Rules
+
+
+
+
§3 character set
+ ■1 All expressions of The Unified Code for Units of Measure shall be built from characters of the 7-bit US-ASCII character set exclusively.
+ ■2 Terminal unit symbols can consist of all ASCII characters in the range of 33–126 (0x21–0x7E) excluding double quotes (‘"’), parentheses (‘(’ and ‘)’), plus sign (‘+’'),
+ minus sign (‘-’'), period (‘.’'), solidus (‘/’'), equal sign (‘=’'), square brackets (‘[’ and ‘]’), and curly braces (‘{’ and ‘}’), which have
+ special meaning.
+ ■3 A terminal unit symbol can not consist of only digits (‘
+ 0’–‘9’) because those digit strings are interpreted as positive integer numbers. However, a symbol “10*” is allowed because it ends with a non-digit allowed to be part of a symbol.
+ ■4 For every terminal symbol there is a case insensitive variant defined, to be used when there is a risk of upper and lower case to be confused. Although upper and lower case can be mixed in case insensitive
+ symbols there is no meaning to the case. Case insensitive symbols are incompatible to the case senitive symbols.
+
+
+
+ The 7-bit US-ASCII character code is the greatest common denominator that can be expected to be available in any communication environment. Only very few units normally require symbols from the greek alphabet and thus the cost of requiring Unicode does
+ not outweigh the benefit. As explained above, the real issue about writing unit terms naturally is not the character set but the ability to write subscripts and superscripts and distinguish roman letters from italics.
+
+
+
+ Some computer systems or programming languages still have the requirement of case insensitivity and some humans who are not familiar with SI units tend to confuse upper and lower case or can not interpret the difference in upper and lower case correctly.
+ For this reason the case insensitive symbols are defined. Although The Unified Code for Units of Measure does not encourage use of case insensitive symbols where not absolutely necessary, in some circumstances the case insensitive
+ representation may be the greatest common denominator. Thus some systems that can handle case sensitivity may end up using case insensitive symbols in order to communicate with less powerful systems.
+
+
+
+ ISO 2955 and ANSI X3.50 call case sensitive symbols “mixed case” and case insensitive symbols “single case” and list two columns for “single case” symbols, one for upper case and one for lower case. In The Unified Code for Units of Measure all units can be written in mixed upper and lower case, but in the case insensitive variant the mixing of case does not matter.
+
+
+
+ White space is not recognized in a a unit term and should generally not occur. UCUM implementations may flag whitespace as an error rather than ignore it. Whitespace is not used as a separator of otherwise ambiguous parts of a unit term.
+
+
+
§4 prefixes
+ ■1Metric units (cf. §11) may be combinations of a unit symbol with a prefix symbol.
+ ■2The unit symbol to be combined with the prefix must not itself contain a prefix. Such a prefix-less unit symbol is called unit
+ atom.
+ ■3Prefix and atom are connected immediately without any delimiter. Separation of an optional prefix from the atom occurs on the lexical level by finding a matching combination of an optional prefix and a unit
+ atom.
+ ■4 The prefix is the longest leading substring that matches a valid prefix where the remainder is a valid metric unit atom. If no such prefix can be matched, the unit atom is without prefix and may be both metric
+ or non-metric.[1–3: ISO 1000, 3; ISO 2955-1983, 3.7;
ANSI X3.50-1986, 3.7 (Rule No. 6).]
-
§5 square brackets
-
- ■1 Square brackets (‘[’ and
- ‘]’) may be part of a
- unit atom at any place but only as matched pairs. Square brackets are
- lexical elements and not separate syntactical tokens. ■2 Within a matching pair of square brackets the full range of
- characters 33–126 can be used.3 ■3 Square brackets do not determine the boundary between
- prefix and unit atom, but they never span the boundary of unit atoms.
- ■4
- Square brackets must not be nested.
-
-
-
- For example
- %
- “[abc+ef]”,
- “ab[c+ef]”,
- “[abc+]ef”, and
- “ab[c+ef]”
- %
- could all be valid symbols if defined in the tables.
- In “ab[c+ef]” either
- “a” or “ab”
- could be defined as a prefix, but not “ab[c”.
-
-
-
- Square brackets take on one task of round parentheses in HL7's
- “ISO+” code, where one use of parentheses is to augment
- unit symbols with suffixes, as in “mm(Hg)”.
- Another use is to enclose one full unit symbol into parentheses, as
- “(ka_u)” (for the King-Armstrong unit of
- catalytic amount of phosphatase). Apparently, in a unit symbol such
- enclosed one is supposed not to expect a prefix. Thus, even if
- “a_u” would have been defined,
- “(ka_u)” should not be matched against
- kilo-a_u.
-
-
-
- Parentheses, however, were also used for the nesting of terms since
- HL7 version 2.3. At this point it became ambiguous whether parentheses
- are part of the unit symbol or whether they are syntactic tokens. For
- instance, “(ka_u)” could mean a nested
- “ka_u” (where “k”
- could possibly be a prefix), but also the proper symbol
- “(ka_u)” that happens to have parentheses as
- part of the symbol. The Unified Code for Units of Measure uses parentheses for the usual meaning of
- term nesting and uses square brackets where HL7's “ISO+”
- assumes parentheses to be part of the unit symbol.
-
-
-
§6 curly braces
-
- ■1 The full range of characters 33–126 can be used within a
- pair of curly braces (‘{’ and
- ‘}’). The material enclosed in curly braces is
- called annotation.
- ■2
- Annotations do not contribute to the semantics of the unit but are
- meaningless by definition. Therefore, any fully conformant parser must
- discard all annotations. Parsers of limited conformace should
- not value annotations in comparison of units.
- ■3
- Annotations do, however, signify the end of a unit symbol.
- ■4 An annotation without a leading symbol implies the default
- unit 1 (the unity).
- ■5
- Curly braces must not be nested.
-
-
-
- Curly braces are here because people want annotations and deeply
- believe that they need annotations. Especially in chemistry and
- biomedical sciences, there are traditional habits to write annotations
- at units or instead of units, such as “%vol.”,
- “RBC”, “CFU”, “kg(wet tis.)”, or
- “mL(total)”. These habits are hard to overcome. Any
- attempt of a coding scheme to restrict this percieved expressiveness
- will ultimately result in the coding scheme not being adopted, or just
- “half-way” adopted (which is as bad as not adopted).
-
-
-
- Two alternative responses to this reality exist: either give in to the
- bad habits and blow up of the code with dimension- and meaningless
- unit atoms, or canalize this habit so that it does no harm. The Unified Code for Units of Measure
- canalizes this habit using curly braces. Nevertheless we do continuing
- efforts to upgrade doubtful units to genuine units of The Unified Code for Units of Measure by
- defining and linking them to the other units as good as
- possible. Thus, “g%” is a valid metric unit
- atom (so that “mg%” is a valid unit too.)
- A drops, although quite imprecise, is a valid unit of volume
- “[drp]”. Even HPF and LPF (the so called
- “high-” and “low power field” in the
- microscope) have been defined so that at least they relate to each
- other.
-
-
-
-
+
§5 square brackets
+ ■1 Square brackets (‘[’ and ‘
+ ]’) may be part of a unit atom at any place but only as matched pairs. Square brackets are lexical elements and not separate syntactical tokens. ■2 Within a matching pair of square brackets
+ the full range of characters 33–126 can be used.
+ 3 ■3 Square brackets do not determine the boundary between prefix and unit atom, but they never span the boundary of unit atoms.
+ ■4 Square brackets must not be nested.
+
+
+
+ For example % “
+ [abc+ef]”, “
+ ab[c+ef]”, “
+ [abc+]ef”, and “
+ ab[c+ef]” % could all be valid symbols if defined in the tables. In “ab[c+ef]” either “
+ a” or “ab” could be defined as a prefix, but not “ab[c”.
+
+
+
+ Square brackets take on one task of round parentheses in HL7's “ISO+” code, where one use of parentheses is to augment unit symbols with suffixes, as in “mm(Hg)”. Another use is to enclose one full unit symbol into parentheses, as
+ “
+ (ka_u)” (for the King-Armstrong unit of catalytic amount of phosphatase). Apparently, in a unit symbol such enclosed one is supposed not to expect a prefix. Thus, even if “
+ a_u” would have been defined, “
+ (ka_u)” should not be matched against kilo-
+ a_u.
+
+
+
+ Parentheses, however, were also used for the nesting of terms since HL7 version 2.3. At this point it became ambiguous whether parentheses are part of the unit symbol or whether they are syntactic tokens. For instance, “(ka_u)” could
+ mean a nested “
+ ka_u” (where “k” could possibly be a prefix), but also the proper symbol “
+ (ka_u)” that happens to have parentheses as part of the symbol. The Unified Code for Units of Measure uses parentheses for the usual meaning of term nesting and uses square brackets where HL7's “ISO+” assumes parentheses
+ to be part of the unit symbol.
+
+
+
§6 curly braces
+ ■1 The full range of characters 33–126 can be used within a pair of curly braces (‘{’ and ‘
+ }’). The material enclosed in curly braces is called annotation.
+ ■2 Annotations do not contribute to the semantics of the unit but are meaningless by definition. Therefore, any fully conformant parser must discard all annotations. Parsers of limited conformace should not value annotations in comparison of units.
+ ■3 Annotations do, however, signify the end of a unit symbol.
+ ■4 An annotation without a leading symbol implies the default unit 1 (the unity).
+ ■5 Curly braces must not be nested.
+
+
+
+ Curly braces are here because people want annotations and deeply believe that they need annotations. Especially in chemistry and biomedical sciences, there are traditional habits to write annotations at units or instead of units, such as “%vol.”, “RBC”,
+ “CFU”, “kg(wet tis.)”, or “mL(total)”. These habits are hard to overcome. Any attempt of a coding scheme to restrict this percieved expressiveness will ultimately result in the coding scheme not being adopted, or just “half-way” adopted (which
+ is as bad as not adopted).
+
+
+
+ Two alternative responses to this reality exist: either give in to the bad habits and blow up of the code with dimension- and meaningless unit atoms, or canalize this habit so that it does no harm. The Unified Code for Units of Measure canalizes this habit using curly braces. Nevertheless we do continuing efforts to upgrade doubtful units to genuine units of The Unified Code for Units of Measure by defining and linking them to the other units as good as possible. Thus,
+ “
+ g%” is a valid metric unit atom (so that “mg%” is a valid unit too.) A drops, although quite imprecise, is a valid unit of volume “
+ [drp]”. Even HPF and LPF (the so called “high-” and “low power field” in the microscope) have been defined so that at least they relate to each other.
+
+
+
+
-
2.2
-
+
+ 2.2
+
-
Syntax Rules
-
-
-
-
§7 algebraic unit terms
-
- ■1 All units can be combined in an algebraic term using the
- operators for multiplication (period ‘.‘) and
- division (solidus ‘/’). ■2 The multiplication operator is mandatory it must not be
- omitted or replaced by a space. The multiplication operator is a
- strict binary operator that may occur only between two unit
- terms. ■3 The division operator can be used as a binary and unary
- operator, i.e. a leading solidus will invert the unit that directly
- follows it. ■4 Terms are evaluated from left to right with the period and the
- solidus having the same operator precedence. Multiple division
- operators are allowed within one term. [ISO 1000, 4.5.2; ISO 2955-1983, 3.3f; ANSI X3.50-1986, 3.3f
+
Syntax Rules
+
+
+
+
§7 algebraic unit terms
+ ■1 All units can be combined in an algebraic term using the operators for multiplication (period ‘.‘) and division (solidus ‘/’). ■2 The multiplication
+ operator is mandatory it must not be omitted or replaced by a space. The multiplication operator is a strict binary operator that may occur only between two unit terms. ■3 The division operator
+ can be used as a binary and unary operator, i.e. a leading solidus will invert the unit that directly follows it. ■4 Terms are evaluated from left to right with the period and the solidus having the same
+ operator precedence. Multiple division operators are allowed within one term. [ISO 1000, 4.5.2; ISO 2955-1983, 3.3f; ANSI X3.50-1986, 3.3f
(Rule No. 2f).]
-
- The use of the period instead of the asterisk
- (‘*’) as a multiplication operator continues a
- tradition codified in ISO 1000 and maintained in ISO 2955. Because
- floating point numbers may not occur in unit terms the period is not
- ambiguous. A period in a unit term has no other meaning than to be the
- multiplication operator.
-
-
-
- Since Resolution 7 of the 9th CGPM in 1948 the myth of ambiguity being
- introduced by more than one solidus lives on and is quoted in all
- standards concerning the writing of SI units. However, when the strict
- left to right rule is followed there is no ambiguity, neither with one
- solidus nor with more than one solidus. However, in human practice we
- find the tendency to assign a lower precedence to the solidus which
- misleads people to write a/b·c when they
- really mean a/(b·c). When this is
- rewritten as a/b/c there is actually less
- ambiguity that in a/b·c. So the real
- source of ambiguity is when a multiplication operator follows a
- solidus, not when there is more than one solidus in a term. Hence, we
- remove the restriction for only one solidus and introduce parentheses
- which may be used to remove any perceived ambiguity.
-
-
-
§8 integer numbers
-
- ■1 A positive integer number may appear in place of a simple unit
- symbol. ■2 Only a pure string of decimal digits
- (‘0’–‘9’)
- is interpreted as a number. If after one or more digits there is any
- non-digit character found that is valid for unit atoms, all the
- characters (including the digits) will be interpreted as a simple unit
- symbol.
-
-
-
- For example, the string “123” is a positive
- integer number while “12a” is a symbol.
-
-
-
- Note that the period is only used as a multiplication operator, thus
- “2.5” means 2 × 5 and is not equal to 5/2.
-
-
-
§9 exponents
-
- ■1 Simple units may be raised to a power. The exponent is an
- integer number and is written immediately behind the unit
- term. Negative exponents must be preceded by a minus sign
- (‘-’ positive exponents may be preceded by an
- optional plus sign (‘+’). ■2 If the simple unit raised to a power is a combination of a
- prefix and a unit atom, both are raised to the power, e.g. “1
- cm3” equals “10-6m3” not “10-2m3”.
- [ISO 2955-1983, 3.5f; ANSI X3.50-1986, 3.5f (Rule
+
+ The use of the period instead of the asterisk (‘
+ *’) as a multiplication operator continues a tradition codified in ISO 1000 and maintained in ISO 2955. Because floating point numbers may not occur in unit terms the period is not ambiguous. A period in a unit term has
+ no other meaning than to be the multiplication operator.
+
+
+
+ Since Resolution 7 of the 9th CGPM in 1948 the myth of ambiguity being introduced by more than one solidus lives on and is quoted in all standards concerning the writing of SI units. However, when the strict left to right rule is followed there is no
+ ambiguity, neither with one solidus nor with more than one solidus. However, in human practice we find the tendency to assign a lower precedence to the solidus which misleads people to write a/b·c when they really
+ mean a/(b·c). When this is rewritten as a/b/c there is actually less ambiguity that in a/b·c. So the real source of ambiguity is when a multiplication operator follows
+ a solidus, not when there is more than one solidus in a term. Hence, we remove the restriction for only one solidus and introduce parentheses which may be used to remove any perceived ambiguity.
+
+
+
§8 integer numbers
+ ■1 A positive integer number may appear in place of a simple unit symbol. ■2 Only a pure string of decimal digits (‘
+ 0’–‘9’) is interpreted as a number. If after one or more digits there is any non-digit character found that is valid for unit atoms, all the characters (including the digits) will be interpreted as a simple unit symbol.
+
+
+
+ For example, the string “123” is a positive integer number while “12a” is a symbol.
+
+
+
+ Note that the period is only used as a multiplication operator, thus “
+ 2.5” means 2 × 5 and is not equal to 5/2.
+
+
+
§9 exponents
+ ■1 Simple units may be raised to a power. The exponent is an integer number and is written immediately behind the unit term. Negative exponents must be preceded by a minus sign (‘
+ -’ positive exponents may be preceded by an optional plus sign (‘+’). ■2 If the simple unit raised to a power is a combination of a prefix and a unit atom, both are raised to the
+ power, e.g. “1
+ cm3” equals “10-6m3” not “10-2m3”.
+ [ISO 2955-1983, 3.5f; ANSI X3.50-1986, 3.5f (Rule
No. 4f).]
-
- ISO 2955 and ANSI X3.50 actually do not allow a plus sign leading a
- positive exponent. However, if there can be any perceived ambiguities,
- an explicit leading plus sign may be of help sometimes. The
- Unified Code for Units of Measures therefore allows such plus signs
- at exponents. The plus sign on positive exponents can be used to
- delimit exponents from integer numbers used as simple units. Thus,
- 2+10 means 210 = 1024.
-
-
-
§10 nested terms
-
- ■1 Unit terms with operators may be enclosed in parentheses
- (‘(’ and ‘)’) and used
- in place of simple units. Normal left-to-right evaluation can be
- overridden with parentheses. ■2 Parenthesized terms are not considered unit atoms
- and hence must not be preceded by a prefix.
-
-
- Up until revision 1.9 there was a third clause
- “Since a unit term in parenthesis can be used in place of
- a simple unit, an exponent may follow on a closing parenthesis which
- raises the whole term within the parentheses to the power.”
- However this feature was inconsistent with any BNF or other syntax
- description ever provided, was never used and seems to have no
- relevant use case. For this reason this clause has been stricken.
- This is a tentative change. Users who have used this
- feature in the past, should please comment on this deprecation.
- If we receive indication that this feature was used by anyone, we
- would undo the deprecation. If no comments are received, the
- deprecation continues to take effect.
-
-
-
-
Exhibit 1:
- The complete syntax in the Backus-Naur Form.
-
-
-
+
+ ISO 2955 and ANSI X3.50 actually do not allow a plus sign leading a positive exponent. However, if there can be any perceived ambiguities, an explicit leading plus sign may be of help sometimes. The
+ Unified Code for Units of Measures therefore allows such plus signs at exponents. The plus sign on positive exponents can be used to delimit exponents from integer numbers used as simple units. Thus,
+ 2+10 means 210 = 1024.
+
+
+
§10 nested terms
+ ■1 Unit terms with operators may be enclosed in parentheses (‘
+ (’ and ‘)’) and used in place of simple units. Normal left-to-right evaluation can be overridden with parentheses. ■2 Parenthesized terms are not considered unit atoms
+ and hence must not be preceded by a prefix.
+
+
+ Up until revision 1.9 there was a third clause “Since a unit term in parenthesis can be used in place of a simple unit, an exponent may follow on a closing parenthesis which raises the whole term within the parentheses to the power.” However this feature
+ was inconsistent with any BNF or other syntax description ever provided, was never used and seems to have no relevant use case. For this reason this clause has been stricken. This is a tentative change. Users who have used this
+ feature in the past, should please comment on this deprecation. If we receive indication that this feature was used by anyone, we would undo the deprecation. If no comments are received, the deprecation continues to take effect.
+
+
+
+
Exhibit 1: The complete syntax in the Backus-Naur Form.
+
+
+ Figure 1: Pushdown-state automaton describing the syntax.
+
+
+
+
-
2.3
-
+
+ 2.3
+
-
The Predicate “Metric”
-
-
-
-
§11 metric and non-metric unit atoms
-
- ■1 Only metric unit atoms may be combined with a prefix.
- ■2 To be metric or not to be metric is a predicate assigned to
- each unit atom where that unit atom is defined.
- ■3 All base units are metric. No non-metric unit can be part of
- the basis.
- ■4 A unit must be a quantity on a ratio scale in order to be
- metric.
-
-
-
- The metric predicate accounts for the fact that there are units that
- are prefixed and others that are not. This helps to disambiguate the
- parsing of simple units into prefix and atom.
-
-
-
- To determine whether a given unit atom is metric or not is not
- trivial. It is a cultural phenomenon, subject to change, just like
- language, the meaning of words and how words can be used. At one time
- we can clearly tell right or wrong useage of words, but these
- decisions may need to be revised with the passage of time.
-
-
-
- Generally, metric units are those defined “in the spirit”
- of the metric system, that emerged in France of the 18th century and
- was rapidly adopted by scientists. Metric units are usually based on
- reproducible natural phenomena and are usually not part of a system of
- compareable units with different magintudes, especially not if the
- ratios of these units are not powers of 10. Instead, metric units use
- multiplier prefixes that magnify or diminish the value of the unit
- by powers of ten.
-
-
-
- Conversely, customary units are in the spirit of the middle age as
- most of them can be traced back into a time around the 10th century,
- some are even older from the Roman and Babylonian empires. Most
- customary units are based on the average size of human anatomical or
- botanic structures (e.g., foot, ell, fathom, grain, rod) and come in
- series of comparable units with ratios 1/2, 1/4, 1/12, 1/16, and
- others. Thus all customary units are non-metric
-
-
-
- Not all units from ISO 1000 are metric as degree, minute and second of
- plane angle are non-metric as well as minute, hour, day, month, and
- year. The second is a metric unit because it is a part of the SI
- basis, although it used to be part of a series of customary units
- (originating in the Babylonian era).
-
-
-
- Furthermore, for a unit to be metric it must be a quantity on a ratio
- scale where multiplication and division with scalars are defined. The
- Comité Consultatif d'Unités (CCU) decided
- in February 1995 that SI prefixes may be used with the degree
- Celsius. This statement has not been made explicitly before. This is
- an unfortunate decision because difference-scale units like the degree
- Celsius have no multiplication operation, so that the prefix value
- could be multiplied with the unit. Instead the prefix at non-ratio
- units scales the measurement value. One dekameter is 10 times of a
- meter, but there is no meaning to 10 times of 1 °C in the
- same way as 30 °C are not 3 times as much as
- 10 °C. See §§21ff on how The Unified Code for Units of Measure finds a
- way to accomodate this different use of prefixes at units such as the
- degree Celsius, bel or neper.
-
-
-
-
+
The Predicate “Metric”
+
+
+
+
§11 metric and non-metric unit atoms
+ ■1 Only metric unit atoms may be combined with a prefix.
+ ■2 To be metric or not to be metric is a predicate assigned to each unit atom where that unit atom is defined.
+ ■3 All base units are metric. No non-metric unit can be part of the basis.
+ ■4 A unit must be a quantity on a ratio scale in order to be metric.
+
+
+
+ The metric predicate accounts for the fact that there are units that are prefixed and others that are not. This helps to disambiguate the parsing of simple units into prefix and atom.
+
+
+
+ To determine whether a given unit atom is metric or not is not trivial. It is a cultural phenomenon, subject to change, just like language, the meaning of words and how words can be used. At one time we can clearly tell right or wrong useage of words,
+ but these decisions may need to be revised with the passage of time.
+
+
+
+ Generally, metric units are those defined “in the spirit” of the metric system, that emerged in France of the 18th century and was rapidly adopted by scientists. Metric units are usually based on reproducible natural phenomena and are usually not part
+ of a system of compareable units with different magintudes, especially not if the ratios of these units are not powers of 10. Instead, metric units use multiplier prefixes that magnify or diminish the value of the unit by powers of ten.
+
+
+
+ Conversely, customary units are in the spirit of the middle age as most of them can be traced back into a time around the 10th century, some are even older from the Roman and Babylonian empires. Most customary units are based on the average size of human
+ anatomical or botanic structures (e.g., foot, ell, fathom, grain, rod) and come in series of comparable units with ratios 1/2, 1/4, 1/12, 1/16, and others. Thus all customary units are non-metric
+
+
+
+ Not all units from ISO 1000 are metric as degree, minute and second of plane angle are non-metric as well as minute, hour, day, month, and year. The second is a metric unit because it is a part of the SI basis, although it used to be part of a series
+ of customary units (originating in the Babylonian era).
+
+
+
+ Furthermore, for a unit to be metric it must be a quantity on a ratio scale where multiplication and division with scalars are defined. The
+ Comité Consultatif d'Unités (CCU) decided in February 1995 that SI prefixes may be used with the degree Celsius. This statement has not been made explicitly before. This is an unfortunate decision because difference-scale units like the
+ degree Celsius have no multiplication operation, so that the prefix value could be multiplied with the unit. Instead the prefix at non-ratio units scales the measurement value. One dekameter is 10 times of a meter, but there is no meaning to 10
+ times of 1 °C in the same way as 30 °C are not 3 times as much as 10 °C. See §§21ff on how The Unified Code for Units of Measure finds a way to accomodate this different use of prefixes
+ at units such as the degree Celsius, bel or neper.
+
+
+
+
-
2.4
-
+
+ 2.4
+
-
Style
-
-
-
-
- Except for the rule on curly braces (§12), the
- rules on style govern the creation of the tables of unit atoms not
- their individual use. Users of The Unified Code for Units of Measure need not care about style rules
- (§§13–15) because users
- just use the symbols defined in the tables. Hence, style rules do not
- affect conformance to The Unified Code for Units of Measure. New submissions of unit atoms, however,
- must conform to the style rules.
-
-
-
§12 curly braces
-
- ■1
- Curly braces may be used to enclose annotations that are often written
- in place of units or behind units but that do not have a proper
- meaning of a unit and do not change the meaning of a unit.
- ■2
- Annotations have no semantic value.
-
-
-
- For example one can write “%{vol}”,
- “kg{total}”, or “{RBC}”
- (for “red blood cells”) as pseudo-units. However, these
- annotations do not have any effect on the semantics, which is why
- these example expressions are equivalent to
- “%”, “kg”, and
- “1” respectively.
-
-
-
§13 underscore
-
- ■1 When in print a unit would have a subscript, an underscore
- (‘_’) is used to separate the subscript from
- the stem of the unit symbol. ■2
- The subscript is part of the unit atom.
- ■3 subscripts are used to disambiguate the two units with the
- same name but different meanings.
-
-
- For example when distinguishing the International Table calorie from
- the thermochemical calorie, we would use 1 calIT or
- 1 calth in print. The Unified Code for Units of Measure defines the symbols
- “cal_IT” and
- “cal_th” with the underscore signifying that
- “IT” and “th” are subscripts. Other examples
- are the distinctions between the Julian and Gregorian calendar year
- from the tropical year or the british imperial gallon from the U.S.
- gallon (see §31 and §§37ff).
-
-
-
§14 square brackets
-
- ■1 Square brackets enclose suffixes of unit symbols that change
- the meaning of a unit stem.
- ■2 All customary units shall be enclosed completely by square
- brackets.
- ■3
- Other unit atoms shall be enclosed in square brackets if they are very
- rare, if they will conflict with other units, or if they are normally
- not used as a unit symbol but do have a proper meaning as a unit in
- The Unified Code for Units of Measure.
- ■4
- Square brackets are part of the unit atom.
-
-
-
- For example 1 m H2O is written as
- “m[H2O]” in The Unified Code for Units of Measure because the suffix
- H2O changes the meaning of the unit atom for meter (length)
- to a unit of pressure.
-
-
-
- Customary units are defined in The Unified Code for Units of Measure in order to accomodate
- practical needs. However metric units are still prefered and the
- customary symbols should not interfere with metric symbols in any
- way. Thus, customary units are “stigmatized” by enclosing
- them into square brackets.
-
-
-
- If unit symbols for the purpose of display and print are derived from
- The Unified Code for Units of Measure units, the square brackets can be removed. However, display
- units are out of scope of The Unified Code for Units of Measure.
-
-
-
§15 apostrophe
-
- ■1
- The apostrophe (‘'’) is used to separate words
- or abbreviated words in a multi-word unit symbol.
- ■2
- Since units are mathematically defined symbols and not abbreviations
- of words, multi-word unit symbols should be defined only to reflect
- existing habits, not in order to create new ones.
- ■3
- Multi-word units should always be enclosed in square brackets.
-
-
-
- For example, such legacy units called “Bodansky unit” or
- “Todd unit” have the unit symbols
- “[bdsk'U]”, and
- “[todd'U]” respectively.
-
-
-
-
+
Style
+
+
+
+
+ Except for the rule on curly braces (§12), the rules on style govern the creation of the tables of unit atoms not their individual use. Users of The Unified Code for Units of Measure need not care
+ about style rules (
+ §§13–15) because users just use the symbols defined in the tables. Hence, style rules do not affect conformance to The Unified Code for Units of Measure. New submissions of unit atoms, however, must
+ conform to the style rules.
+
+
+
§12 curly braces
+ ■1 Curly braces may be used to enclose annotations that are often written in place of units or behind units but that do not have a proper meaning of a unit and do not change the meaning of a unit.
+ ■2 Annotations have no semantic value.
+
+
+
+ For example one can write “%{vol}”, “
+ kg{total}”, or “{RBC}” (for “red blood cells”) as pseudo-units. However, these annotations do not have any effect on the semantics, which is why these example expressions are equivalent to “
+ %”, “kg”, and “
+ 1” respectively.
+
+
+
§13 underscore
+ ■1 When in print a unit would have a subscript, an underscore (‘
+ _’) is used to separate the subscript from the stem of the unit symbol. ■2 The subscript is part of the unit atom.
+ ■3 subscripts are used to disambiguate the two units with the same name but different meanings.
+
+
+ For example when distinguishing the International Table calorie from the thermochemical calorie, we would use 1 calIT or 1 cal
+ th in print. The Unified Code for Units of Measure defines the symbols “
+ cal_IT” and “
+ cal_th” with the underscore signifying that “IT” and “th” are subscripts. Other examples are the distinctions between the Julian and Gregorian calendar year from the tropical year or the british imperial gallon from the U.S. gallon
+ (see §31 and §§37ff).
+
+
+
§14 square brackets
+ ■1 Square brackets enclose suffixes of unit symbols that change the meaning of a unit stem.
+ ■2 All customary units shall be enclosed completely by square brackets.
+ ■3 Other unit atoms shall be enclosed in square brackets if they are very rare, if they will conflict with other units, or if they are normally not used as a unit symbol but do have a proper meaning as a unit
+ in
+ The Unified Code for Units of Measure.
+ ■4 Square brackets are part of the unit atom.
+
+
+
+ For example 1 m H2O is written as “
+ m[H2O]” in The Unified Code for Units of Measure because the suffix H
+ 2O changes the meaning of the unit atom for meter (length) to a unit of pressure.
+
+
+
+ Customary units are defined in The Unified Code for Units of Measure in order to accomodate practical needs. However metric units are still prefered and the customary symbols should not interfere with metric symbols in any way. Thus,
+ customary units are “stigmatized” by enclosing them into square brackets.
+
+
+
+ If unit symbols for the purpose of display and print are derived from
+ The Unified Code for Units of Measure units, the square brackets can be removed. However, display units are out of scope of The Unified Code for Units of Measure.
+
+
+
§15 apostrophe
+ ■1 The apostrophe (‘'’) is used to separate words or abbreviated words in a multi-word unit symbol.
+ ■2 Since units are mathematically defined symbols and not abbreviations of words, multi-word unit symbols should be defined only to reflect existing habits, not in order to create new ones.
+ ■3 Multi-word units should always be enclosed in square brackets.
+
+
+
+ For example, such legacy units called “Bodansky unit” or “Todd unit” have the unit symbols “
+ [bdsk'U]”, and “
+ [todd'U]” respectively.
+
+
+
+
-
3
-
+
+ 3
+
-
Semantics
-
-
-
-
§16 preliminaries
-
- ■1 The semantics of The Unified Code for Units of Measure is defined by the algebraic
- operations of multiplication, division and exponentiation between
- units, by the equivalence relations of equality and commensurability
- of units, and by the multiplication of a unit with a scalar.
- ■2 Every expression in The Unified Code for Units of Measure is mapped to one and only one
- semantic element. But every semantic element may have more than one
- valid representant in The Unified Code for Units of Measure.
- ■3
- The set of expressions in The Unified Code for Units of Measure is infinite.
-
-
-
§17 equality and commensurability
-
- ■1 The set of expressions in The Unified Code for Units of Measure has two binary, symmetric,
- reflexive, and transitive relations (equivalence relations)
- “equals” = and “is commensurable with”
- ~. All expressions that are equal are also commensurable but not
- all commensurable expressions are equal.
-
-
§18 algebra of units
-
- ■1 The equivalence classes generated by the equality relation =
- are called units.
- ■2 The set of units U has a binary multiplication operator
- · that is associative and commutative and has the neutral
- element 1 (so called the unity). For each unit
- u ∈ U there is an inverse unit
- u-1 such that u ·
- u-1 = 1. Thus, (U, ·) is
- an Abelian group.
- ■3 The division operation u / v is defined as
- u · v-1. ■4 The exponentiation operation with integer exponents n
- is defined as un = Π1nu.
- ■5
- The product u' = ru of a real number scalar
- with the unit u is also a
- unit, where u' ~ u.
-
-
-
§19 dimension and magnitude
-
- ■1 The equivalence classes generated by the commensurability
- relation ~ are called dimensions. The set D
- of dimensions is infinite in principle, but only a finite subset of
- dimensions are used in practice. Thus, implementations of The Unified Code for Units of Measure need
- not be able to represent the infinite set of dimensions.
- ■2
- Two commensurable units that are not equal differ only by their
- magnitude.
- ■3 The quotient u / v of any two commensurable
- units u ~ v is of the same dimension as the
- unity (u / v ~ 1). This quotient is
- also equal to the unity multiplied with a scalar r: u / v = r1,
- where r is called the relative magnitude of
- u regarding v.
-
-
§20 base units
-
- ■1
- Any system of units is constructed from a finite set B of
- mutually independent base units B = {
- b1, b2, ...,
- bn }, on which any other unit u
- ∈ U is defined as u = r1b1u1 ·
- r2b2u2 ·
- ... · rnbnun,
- where r = r1 · r2
- ·· · rn is called the
- magnitude of the unit u regarding B.
- ■2
- With respect to a basis B every unit can thus be
- represented as a pair (r, û) of magnitude r and dimension û =
- (u1, u2, ...,
- un).
- ■3
- Two sets of base units are equivalent if there is an isomorphism
- between the sets of units that they generate.
-
-
-
§19.1 allows to limit the set of
- supported dimensions. Most practically used units contain exponents of
- -4 to +4. Thus if memory is
- limited, 4 bit per component of the dimension vector could be
- sufficient.
-
-
-
-
+
Semantics
+
+
+
+
§16 preliminaries
+ ■1 The semantics of The Unified Code for Units of Measure is defined by the algebraic operations of multiplication, division and exponentiation between units, by the equivalence relations of equality
+ and commensurability of units, and by the multiplication of a unit with a scalar.
+ ■2 Every expression in The Unified Code for Units of Measure is mapped to one and only one semantic element. But every semantic element may have more than one valid representant in The Unified Code for Units of Measure.
+
+ ■3 The set of expressions in The Unified Code for Units of Measure is infinite.
+
+
+
§17 equality and commensurability
+ ■1 The set of expressions in The Unified Code for Units of Measure has two binary, symmetric, reflexive, and transitive relations (equivalence relations) “equals” = and “is commensurable with” ~. All
+ expressions that are equal are also commensurable but not all commensurable expressions are equal.
+
+
§18 algebra of units
+ ■1 The equivalence classes generated by the equality relation = are called units.
+ ■2 The set of units U has a binary multiplication operator · that is associative and commutative and has the neutral element 1 (so called the unity). For each unit
+ u ∈ U there is an inverse unit
+ u-1 such that u ·
+ u-1 = 1. Thus, (U, ·) is an Abelian group.
+ ■3 The division operation u / v is defined as
+ u · v-1. ■4 The exponentiation operation with integer exponents n is defined as un = Π1nu.
+
+ ■5 The product u' = ru of a real number scalar with the unit u is also a unit, where u' ~ u.
+
+
+
§19 dimension and magnitude
+ ■1 The equivalence classes generated by the commensurability relation ~ are called dimensions. The set D of dimensions is infinite in principle, but only a finite subset of dimensions are used
+ in practice. Thus, implementations of The Unified Code for Units of Measure need not be able to represent the infinite set of dimensions.
+ ■2 Two commensurable units that are not equal differ only by their magnitude.
+ ■3 The quotient u / v of any two commensurable units u ~ v is of the same dimension as the unity (u / v ~ 1).
+ This quotient is also equal to the unity multiplied with a scalar r: u / v = r1, where r is called the relative magnitude of
+ u regarding v.
+
+
§20 base units
+ ■1 Any system of units is constructed from a finite set B of mutually independent base units B = {
+ b1, b2, ...,
+ bn }, on which any other unit u ∈ U is defined as u = r1b1u1 ·
+ r2b2u2 · ... · rnbnun, where r = r1 · r2 ·· · rn is called the
+ magnitude of the unit u regarding B.
+ ■2 With respect to a basis B every unit can thus be represented as a pair (r, û) of magnitude r and dimension û = (
+ u1, u2, ...,
+ un).
+ ■3 Two sets of base units are equivalent if there is an isomorphism between the sets of units that they generate.
+
+
+
§19.1 allows to limit the set of supported dimensions. Most practically used units contain exponents of -4 to +4. Thus if memory is limited, 4 bit per component of the dimension vector could be sufficient.
+
+
+
+
-
3.1
-
+
+ 3.1
+
-
Special Units on non-ratio Scales
-
-
-
-
§21 special units
-
- ■1
- Those symbols that are used as units that imply a measurement on a
- scale other than a ratio scale (e.g., interval scale, logarithmic
- scale) are defined differently. These do not represent proper units as
- elements of the group (U,·). Therefore those special
- semantic entities are called special units, as opposed to
- proper units. The set of special units is denoted
- S, where S ∩ U = {}.
- ■2
- A special unit s ∈ S is defined as
- the triple (u, fs,
- fs-1) where u
- ∈ U is the “corresponding” proper unit of
- s and where fs and
- fs-1 are mutually inverse
- real functions converting the measurement value to and from the
- special unit.
- ■3
- Although not elements of U, special units are said to be
- “of the same dimension” or “commensurable
- with” their corresponding proper unit u and the class
- of units commensurable with u. This can be expressed by means
- of a binary, symmetric, transitive and reflexive relation ≈
- on U ∪ S.
-
-
-
- The functions fs and
- fs-1 are applied as follows: let
- rs be the numeric measurement value
- expressed in the special unit s and let m be the
- corresponding dimensioned quantity, i.e., the measurement with proper
- unit u. Now, rs =
- fs(m/u) converts the proper
- measurement to the special unit and m =
- fs-1(rs)
- × u does the inverse.
-
-
-
§22 operations on special units
-
- ■1
- In theory, special units cannot take part in any algebraic operations,
- neither involving other units, nor themselves (exponentiation) nor
- involving scalars.
- ■2
- Special units are therefore non-metric units.
- ■3
- However, due to the requirement of the SI that does allow prefixes on
- the degree Celsius, special units may be scaled trough a prefix
- or an arbitrary numeric factor.
- ■4 The scale factor α is an
- additional component of the special unit, which in turn is defined by
- a quadruple s = (u, fs,
- fs-1, α). When the
- functions fs and
- fs-1 are applied to a measurement value
- x to convert to and from the special unit the scale factor is
- applied as follows: x' = fs(x) /
- α converts from x expressed in the corresponding
- proper unit to x' in terms of the special unit and x =
- fs-1(αx') does
- the reverse.
- ■5
- Multiplication of a special unit s = (u,
- fs,
- fs-1, α) with a
- scalar β is defined as
- βs = (u, fs,
- fs-1, βα). Multiplication of a special unit s with a
- dimensionless unit r1 is defined as rs.
-
-
-
- Since prefixes have a scalar value that multiplies the unit atom, a
- unit must at least have a defined multiplication operation with a
- scalar in order to be a candidate for the metric predicate. All proper
- units are candidates for the metric property, special units are no
- such candidates.
-
-
-
- The Comité Consultatif d'Unités (CCU)
- decided in February 1995 that any SI prefix may be used with degree
- Celsius. This statement has not been made explicitly before. This is
- an unfortunate decision because difference-scale units like the degree
- Celsius have no multiplication operation, so that the prefix value
- could be multiplied with the unit. Instead the prefix at non-ratio
- units scales the measurement value. One wonders why the CGPM keeps the
- celsius temperature in the SI as it is superfluous and in a unique way
- incoherent with the SI.
-
-
-
- The scale factor α is applied with the functions
- fs and fs-1
- as follows: let rs be the numeric measurement
- value expressed in the special unit s and let m be the
- corresponding dimensioned quantity, i.e., the measurement with proper
- unit u. Now, rs =
- fs(m/u) / α
- converts the proper measurement to the special unit and m =
- fs-1(αrs) × u does the reverse.
-
-
-
§23 definition of special units
-
- ■1
- Special units are marked in the definition tables for unit atoms by a
- bullet (‘•’) in the column titled “value”
- and a special expression in the column titled
- “definition”. The BNF for the special expression is <special-unit> ::= <function-symbol>“(”<floating-point-number>“”<term>“)” The function symbols are defined as
- needed.
- ■2
- Special expressions are not valid expressions in The Unified Code for Units of Measure,
- they are only used for defining special units.
-
-
-
-
+
Special Units on non-ratio Scales
+
+
+
+
§21 special units
+ ■1 Those symbols that are used as units that imply a measurement on a scale other than a ratio scale (e.g., interval scale, logarithmic scale) are defined differently. These do not represent proper units as elements
+ of the group (U,·). Therefore those special semantic entities are called special units, as opposed to
+ proper units. The set of special units is denoted
+ S, where S ∩ U = {}.
+ ■2 A special unit s ∈ S is defined as the triple (u, fs,
+ fs-1) where u ∈ U is the “corresponding” proper unit of
+ s and where fs and
+ fs-1 are mutually inverse real functions converting the measurement value to and from the special unit.
+ ■3 Although not elements of U, special units are said to be “of the same dimension” or “commensurable with” their corresponding proper unit u and the class of units commensurable with
+ u. This can be expressed by means of a binary, symmetric, transitive and reflexive relation ≈ on U ∪ S.
+
+
+
+ The functions fs and
+ fs-1 are applied as follows: let
+ rs be the numeric measurement value expressed in the special unit s and let m be the corresponding dimensioned quantity, i.e., the measurement with proper unit u.
+ Now, rs =
+ fs(m/u) converts the proper measurement to the special unit and m =
+ fs-1(rs) × u does the inverse.
+
+
+
§22 operations on special units
+ ■1 In theory, special units cannot take part in any algebraic operations, neither involving other units, nor themselves (exponentiation) nor involving scalars.
+ ■2 Special units are therefore non-metric units.
+ ■3 However, due to the requirement of the SI that does allow prefixes on the degree Celsius, special units may be scaled trough a prefix or an arbitrary numeric factor.
+ ■4 The scale factor α is an additional component of the special unit, which in turn is defined by a quadruple s = (u, fs,
+ fs-1, α). When the functions fs and
+ fs-1 are applied to a measurement value
+ x to convert to and from the special unit the scale factor is applied as follows: x' = fs(x) /
+ α converts from x expressed in the corresponding proper unit to x' in terms of the special unit and x =
+ fs-1(αx') does the reverse.
+ ■5 Multiplication of a special unit s = (u,
+ fs,
+ fs-1, α) with a scalar β is defined as
+ βs = (u, fs,
+ fs-1, βα). Multiplication of a special unit s with a dimensionless unit r1 is defined as rs.
+
+
+
+ Since prefixes have a scalar value that multiplies the unit atom, a unit must at least have a defined multiplication operation with a scalar in order to be a candidate for the metric predicate. All proper units are candidates for the metric property,
+ special units are no such candidates.
+
+
+
+ The Comité Consultatif d'Unités (CCU) decided in February 1995 that any SI prefix may be used with degree Celsius. This statement has not been made explicitly before. This is an unfortunate decision because difference-scale units like
+ the degree Celsius have no multiplication operation, so that the prefix value could be multiplied with the unit. Instead the prefix at non-ratio units scales the measurement value. One wonders why the CGPM keeps the celsius temperature in the
+ SI as it is superfluous and in a unique way incoherent with the SI.
+
+
+
+ The scale factor α is applied with the functions
+ fs and fs-1 as follows: let rs be the numeric measurement value expressed in the special unit s and let
+ m be the corresponding dimensioned quantity, i.e., the measurement with proper unit u. Now, rs =
+ fs(m/u) / α converts the proper measurement to the special unit and m =
+ fs-1(αrs) × u does the reverse.
+
+
+
§23 definition of special units
+ ■1 Special units are marked in the definition tables for unit atoms by a bullet (‘•’) in the column titled “value” and a special expression in the column titled “definition”. The BNF for the special expression
+ is <special-unit> ::= <function-symbol>“(”<floating-point-number>“”<term>“)” The function symbols are defined as needed.
+ ■2 Special expressions are not valid expressions in The Unified Code for Units of Measure, they are only used for defining special units.
+
+
+
+
-
3.2
-
+
+ 3.2
+
-
Arbitrary Units
-
-
-
-
§24 arbitrary units
-
- ■1
- Arbitrary or procedure defined units are units whose meaning entirely
- depends on the measurement procedure (assay). These units have no
- general meaning in relation with any other unit in the SI. Therefore those arbitrary
- semantic entities are called arbitrary units, as opposed to
- proper units. The set of arbitrary units is denoted
- A, where A ∩ U = {}.
- ■2
- An arbitrary unit has no further definition in the semantic framework of The Unified Code for Units of Measure ■3
- Arbitrary units are not “of any specific dimension” and are
- not “commensurable with” any other unit.
-
-
-
- Until version 1.6 The Unified Code for Units of Measure has dealt with arbitrary units as dimensionless,
- but as an effect the semantics of The Unified Code for Units of Measure made all arbitrary units
- commensurable. Since version 1.7 of The Unified Code for Units of Measure it is no longer possible to
- convert or compare arbitrary units with any other arbitrary unit.
-
-
-
§25 operations on arbitrary units
-
- ■1
- Any term involving arbitrary units, is itself an arbitrary unit and is not
- comparable with any other arbitrary unit or term.
-
-
-
§26 definition of arbitrary units
-
- ■1
- Arbitrary units are marked in the definition tables for unit atoms by a
- bullet (‘•’) in the column titled “value”
- and a bullet in the column titled “definition”.
-
-
-
-
+
Arbitrary Units
+
+
+
+
§24 arbitrary units
+ ■1 Arbitrary or procedure defined units are units whose meaning entirely depends on the measurement procedure (assay). These units have no general meaning in relation with any other unit in the SI. Therefore those
+ arbitrary semantic entities are called arbitrary units, as opposed to
+ proper units. The set of arbitrary units is denoted
+ A, where A ∩ U = {}.
+ ■2 An arbitrary unit has no further definition in the semantic framework of The Unified Code for Units of Measure ■3 Arbitrary units are not “of any specific dimension”
+ and are not “commensurable with” any other unit.
+
+
+
+ Until version 1.6 The Unified Code for Units of Measure has dealt with arbitrary units as dimensionless, but as an effect the semantics of The Unified Code for Units of Measure made all arbitrary units commensurable. Since version
+ 1.7 of The Unified Code for Units of Measure it is no longer possible to convert or compare arbitrary units with any other arbitrary unit.
+
+
+
§25 operations on arbitrary units
+ ■1 Any term involving arbitrary units, is itself an arbitrary unit and is not comparable with any other arbitrary unit or term.
+
+
+
§26 definition of arbitrary units
+ ■1 Arbitrary units are marked in the definition tables for unit atoms by a bullet (‘•’) in the column titled “value” and a bullet in the column titled “definition”.
+
+
+
+
-
4
-
+
+ 4
+
-
Tables of Terminal Symbols
+
Tables of Terminal Symbols
-
-
-
-
+
+
+
+
-
4.1
-
+
+ 4.1
+
-
Prefixes
-
-
-
-
§27 prefixes
-
- ■1
- Prefix symbols are those defined in Table
- 1.
- ■2 There are five columns titled “name,”
- “print,” “c/s,” “c/i,” and
- “value” The name is the full (official) name of the
- unit. The official symbol used in print this is listed in the column
- “print” “C/s,” and “c/i” list the
- symbol in the case sensitive and the case insensitive variants
- respectively. “Value” is the scalar value by which the
- unit atom is multiplied if combined with the prefix.
- ■3
- Only the columns titled “c/s,” “c/i,” and
- “value,” are normative. Full name and print symbol are
- defined by the CGPM and are out of scope of The Unified Code for Units of Measure.
-
-
-
- The case insensitive prefix symbols are slightly different from those
- defined by ISO 2955 and ANSI X3.50, where “giga-,”
- “tera-,” and “peta-” have been
- “G,” “T,” and
- “PE.” The Unified Code for Units of Measure has a larger set of unit atoms
- and needs to prevent more name conflicts. Tera and giga have a second
- letter to be safe in the future. The change of
- “PE” to “PT” would
- be the way to go for ISO 2955 which currently has a name conflict
- (among others) with peta-volt and pico-electronvolt.
-
-
-
- The new prefixes “yotta-,” “zetta-,”
- “yocto-,” and “zepto-” that were adopted by
- the 19th CGPM (1990) have a second letter ‘A’ and
- ‘O’ resp. to avoid current and future conflicts and to
- disambiguate among themselves. The other submultiples
- “micro-” to “atto-” are represented by a
- single letter to keep with the tradition.
-
-
-
-
+
Prefixes
+
+
+
+
§27 prefixes
+ ■1 Prefix symbols are those defined in Table
+ 1.
+ ■2 There are five columns titled “name,” “print,” “c/s,” “c/i,” and “value” The name is the full (official) name of the unit. The official symbol used in print this is listed in the column “print” “C/s,” and “c/i”
+ list the symbol in the case sensitive and the case insensitive variants respectively. “Value” is the scalar value by which the unit atom is multiplied if combined with the prefix.
+ ■3 Only the columns titled “c/s,” “c/i,” and “value,” are normative. Full name and print symbol are defined by the CGPM and are out of scope of The Unified Code for Units of Measure.
+
+
+
+ The case insensitive prefix symbols are slightly different from those defined by ISO 2955 and ANSI X3.50, where “giga-,” “tera-,” and “peta-” have been “
+ G,” “T,” and “
+ PE.” The Unified Code for Units of Measure has a larger set of unit atoms and needs to prevent more name conflicts. Tera and giga have a second letter to be safe in the future. The change of “
+ PE” to “PT” would be the way to go for ISO 2955 which currently has a name conflict (among others) with peta-volt and pico-electronvolt.
+
+
+
+ The new prefixes “yotta-,” “zetta-,” “yocto-,” and “zepto-” that were adopted by the 19th CGPM (1990) have a second letter ‘A’ and ‘O’ resp. to avoid current and future conflicts and to disambiguate among themselves. The other submultiples “micro-” to
+ “atto-” are represented by a single letter to keep with the tradition.
+
+
+
+
name
print
c/s
c/i
value
-
-
- Table
- 1: The prefix symbols
-
-
+
+
+
+ Table 1: The prefix symbols
+
+
yotta
Y
Y
YA
1 × 1024
-
-
+
+
zetta
Z
Z
ZA
1 × 1021
-
-
+
+
exa
E
E
EX
1 × 1018
-
-
+
+
peta
P
P
PT
1 × 1015
-
-
+
+
tera
T
T
TR
1 × 1012
-
-
+
+
giga
G
G
GA
1 × 109
-
-
+
+
mega
M
M
MA
1 × 106
-
-
+
+
kilo
k
k
K
1 × 103
-
-
+
+
hecto
h
h
H
1 × 102
-
-
+
+
deka
da
da
DA
1 × 101
-
-
+
+
deci
d
d
D
1 × 10-1
-
-
+
+
centi
c
c
C
1 × 10-2
-
-
+
+
milli
m
m
M
1 × 10-3
-
-
+
+
micro
μ
u
U
1 × 10-6
-
-
+
+
nano
n
n
N
1 × 10-9
-
-
+
+
pico
p
p
P
1 × 10-12
-
-
+
+
femto
f
f
F
1 × 10-15
-
-
+
+
atto
a
a
A
1 × 10-18
-
-
+
+
zepto
z
z
ZO
1 × 10-21
-
-
+
+
yocto
y
y
YO
1 × 10-24
-
-
-
-
+
+
+
+
-
4.2
-
+
+ 4.2
+
-
Base Units
-
-
-
-
§28 base units
-
- ■1 The base units shown in Table
- 2 are used to
- define all the unit atoms of The Unified Code for Units of Measure according to its grammar and
- semantics.
- ■2 There are five columns titled “name,” “kind
- of quantity,” “print,” “c/s,” and
- “c/i.” The name is the full (official) name of the
- unit. The official symbol used in print this is listed in the column
- “print” “C/s,” and “c/i” list the
- symbol in the case sensitive and the case insensitive variants
- respectively.
- ■3
- Only the columns titled “c/s,” and “c/i,” are
- normative. Full name and print symbol are defined by other bodies and
- are out of scope of The Unified Code for Units of Measure.
- ■4 The selection of base units and the particular order are not
- normative. Any other basis B' that generates an
- isomorphic group of units is conformant with The Unified Code for Units of Measure.
- ■5
- If the other base B' generates a different system of units
- U' it conforms to The Unified Code for Units of Measure only if there is an homomorphism that maps
- U' onto U.
- ■6
- Base units must be metric units only. Special units can not be base
- units.
-
-
-
- As can be seen the base system used to define The Unified Code for Units of Measure is different
- from the system used by the Système International
- d'Unités (SI) The SI base unit kilogram has been
- replaced by gram and the mole has been replaced by the radian that is
- defined dimensionless in the SI. Because of the latter change The Unified Code for Units of Measure
- is not isomorphic with the SI.
-
-
-
- The replacement of the kilogram is trivial. In order to bring syntax
- and semantics in line we can not have a unit with prefix in the
- base. We need a valid unit of mass before we can combine it with the
- prefix “kilo-” This change does not have any effect on the
- semantics whatsoever. The base unit kilogram is one of the oddities
- of the SI: if the gram would have been chosen as a base units the CGPM
- could have saved the rather annoying exception of the prefixing rules
- with the kilogram. At times where we have to multiply the wavelength
- of excited krypton-86 atoms by 1650763.73 to yield one meter, it seems
- trivial to divide the prototype of the kilogram by thousand to yield a
- base unit gram.
-
-
-
- The rationale for removing the mole from the base is that the mole is
- essentially a count of particles expressed in a unit of very high
- magnitude (Avogadro's number). There is no fundamental difference
- between the count of particles and the count other things.
-
-
-
- The radian has been adopted as the base unit of plane angle
- α to facilitate the distinction from the solid angle
- Ω by the relation Ω =
- α2 and to distinguish rotational frequency
- f from angular velocity ω = 2 π ·
- rad · f.
-
-
-
-
+
Base Units
+
+
+
+
§28 base units
+ ■1 The base units shown in Table
+ 2 are used to define all the unit atoms of The Unified Code for Units of Measure according to its grammar and semantics.
+ ■2 There are five columns titled “name,” “kind of quantity,” “print,” “c/s,” and “c/i.” The name is the full (official) name of the unit. The official symbol used in print this is listed in the column “print”
+ “C/s,” and “c/i” list the symbol in the case sensitive and the case insensitive variants respectively.
+ ■3 Only the columns titled “c/s,” and “c/i,” are normative. Full name and print symbol are defined by other bodies and are out of scope of The Unified Code for Units of Measure.
+ ■4 The selection of base units and the particular order are not normative. Any other basis B' that generates an isomorphic group of units is conformant with The Unified Code for Units of Measure.
+
+ ■5 If the other base B' generates a different system of units
+ U' it conforms to The Unified Code for Units of Measure only if there is an homomorphism that maps
+ U' onto U.
+ ■6 Base units must be metric units only. Special units can not be base units.
+
+
+
+ As can be seen the base system used to define The Unified Code for Units of Measure is different from the system used by the Système International
+ d'Unités (SI) The SI base unit kilogram has been replaced by gram and the mole has been replaced by the radian that is defined dimensionless in the SI. Because of the latter change The Unified Code for Units of Measure is not
+ isomorphic with the SI.
+
+
+
+ The replacement of the kilogram is trivial. In order to bring syntax and semantics in line we can not have a unit with prefix in the base. We need a valid unit of mass before we can combine it with the prefix “kilo-” This change does not have any effect
+ on the semantics whatsoever. The base unit kilogram is one of the oddities of the SI: if the gram would have been chosen as a base units the CGPM could have saved the rather annoying exception of the prefixing rules with the kilogram. At times
+ where we have to multiply the wavelength of excited krypton-86 atoms by 1650763.73 to yield one meter, it seems trivial to divide the prototype of the kilogram by thousand to yield a base unit gram.
+
+
+
+ The rationale for removing the mole from the base is that the mole is essentially a count of particles expressed in a unit of very high magnitude (Avogadro's number). There is no fundamental difference between the count of particles and the count other
+ things.
+
+
+
+ The radian has been adopted as the base unit of plane angle
+ α to facilitate the distinction from the solid angle
+ Ω by the relation Ω =
+ α2 and to distinguish rotational frequency
+ f from angular velocity ω = 2 π · rad · f.
+
+
+
+
name
kind of quantity
print
c/s
c/i
-
-
- Table
- 2: The base units upon which the semantics of all the unit
- atoms in The Unified Code for Units of Measure are defined. The selection of the base and the order
- of the units in the base are not normative. Any other base is
- acceptable as long as there is an isomorphism between the group of
- units generated by the other base system and this one. All base units
- are metric.
-
-
+
+
+
+ Table 2: The base units upon which the semantics of all the unit atoms in The Unified Code for Units of Measure are defined. The selection of the base and the order of the units in the base are not normative. Any other base is acceptable as long as there
+ is an isomorphism between the group of units generated by the other base system and this one. All base units are metric.
+
+
meter
length
m
m
M
-
-
+
+
second
time
s
s
S
-
-
+
+
gram
mass
g
g
G
-
-
+
+
radian
plane angle
rad
rad
RAD
-
-
+
+
kelvin
temperature
K
K
K
-
-
+
+
coulomb
electric charge
C
C
C
-
-
+
+
candela
luminous intensity
cd
cd
CD
-
-
-
-
+
+
+
+
-
4.3
-
+
+ 4.3
+
-
Derived Unit Atoms
-
-
-
-
§29 dimensionless units
-
- ■1
- Dimensionless unit atoms are defined in Table
- 3.
- ■2 There are seven columns titled “name,”
- “print,” “c/s,” “c/i,”
- “M,” “value,” and “definition.”
- The name is the full (official) name of the unit. The symbol
- recommended for use in print this is listed in the column
- “print.” “C/s,” and “c/i” list the
- symbol in the case sensitive and the case insensitive variants
- respectively.
- The column “M” specifies whether this is a
- metric unit.
- The definition is a valid case sensitive expression of
- The Unified Code for Units of Measure that defines the unit atom.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
- ■4
- The units named “parts per N” are provided to be used
- where absolutely nessecary but are not endorsed. Especially
- “ppb” and “pptr” are deprecated since
- “billion” and “trillion” are ambiguous names
- internationally. The explicit powers of ten should be given instead.
-
-
-
-
+
Derived Unit Atoms
+
+
+
+
§29 dimensionless units
+ ■1 Dimensionless unit atoms are defined in Table
+ 3.
+ ■2 There are seven columns titled “name,” “print,” “c/s,” “c/i,” “M,” “value,” and “definition.” The name is the full (official) name of the unit. The symbol recommended for use in print this is listed in the
+ column “print.” “C/s,” and “c/i” list the symbol in the case sensitive and the case insensitive variants respectively. The column “M” specifies whether this is a metric unit. The definition is a valid case sensitive expression of
+ The Unified Code for Units of Measure that defines the unit atom.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
+ ■4 The units named “parts per N” are provided to be used where absolutely nessecary but are not endorsed. Especially “ppb” and “pptr” are deprecated since “billion” and “trillion” are ambiguous names
+ internationally. The explicit powers of ten should be given instead.
+
+
+
+
name
print
c/s
@@ -1559,20 +1100,14 @@
Derived Unit Atoms
M
definition value
definition unit
-
-
- Table
- 3: Dimensionless units. The units ppb and ppt are deprecated
- because the names “billion” and “trillion” are
- ambiguous. The expression “10*-9” or
- “10*-12” should be used instead. When the
- units percent or “parts per N” are used for
- concentrations specific units are prefered, e.g.,
- “ug/l” for mass concentration. The expression
- “ug/kg” for ppb is also valid.
-
-
-
+
+
+
+ Table 3: Dimensionless units. The units ppb and ppt are deprecated because the names “billion” and “trillion” are ambiguous. The expression “10*-9” or “10*-12” should be used instead. When the units percent or “parts per N” are used for concentrations
+ specific units are prefered, e.g., “ug/l” for mass concentration. The expression “ug/kg” for ppb is also valid.
+
+
+
the number ten for arbitrary powers
10n
@@ -1584,8 +1119,8 @@
Derived Unit Atoms
10
1
-
-
+
+
the number ten for arbitrary powers
10n
@@ -1597,8 +1132,8 @@
Derived Unit Atoms
10
1
-
-
+
+
the number pi
π
[pi]
@@ -1609,8 +1144,8 @@
Derived Unit Atoms
π
1
-
-
+
+
percent
%
%
@@ -1621,8 +1156,8 @@
Derived Unit Atoms
1
10*-2
-
-
+
+
parts per thousand
ppth
[ppth]
@@ -1633,8 +1168,8 @@
Derived Unit Atoms
1
10*-3
-
-
+
+
parts per million
ppm
[ppm]
@@ -1645,8 +1180,8 @@
Derived Unit Atoms
1
10*-6
-
-
+
+
parts per billion
ppb
[ppb]
@@ -1657,8 +1192,8 @@
Derived Unit Atoms
1
10*-9
-
-
+
+
parts per trillion
pptr
[pptr]
@@ -1669,67 +1204,36 @@
Derived Unit Atoms
1
10*-12
-
-
-
- The notation “10*” for powers of ten
- originated in the HL7 “ISO+“ extension of ISO 2955.
- In HL7 the character carat (‘^’) was thought as
- reserved. Since most people would expect to see
- “10^3” for the “third power of
- ten” and might in fact confuse “10*3”
- to mean “ten times 3”, the symbol using the carat was
- later added to The Unified Code for Units of Measure.
-
-
-
§30 SI units
-
- ■1
- SI units are defined by the international Conférence
- Générale des Poids et Mesures (CGPM). The Unified Code for Units of Measure definitions
- for those units are given in Table
- 4.
- ■2 There are seven columns titled “name,”
- “print,” “c/s,” “c/i,”
- “M,” “value,” and “definition.”
- The name is the full (official) name of the unit. The symbol
- recommended for use in print this is listed in the column
- “print.” “C/s,” and “c/i” list the
- symbol in the case sensitive and the case insensitive variants
- respectively.
- The column “M” specifies whether this is a
- metric unit.
- The definition
- is a valid case sensitive expression of The Unified Code for Units of Measure that defines the unit
- atom.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are defined by the CGPM and are
- out of scope of The Unified Code for Units of Measure.
- ■4
- The function pair denoted “cel(1 K)” is
- defined as fC(x) = x - 273.15 to
- convert from kelvin to degree Celsius, and
- fC-1(x) = x + 273.15 to
- convert from degree Celsius back to kelvin.
-
-
-
- The case insensitive symbol for pascal is
- “PAL” which conforms to ISO 2955 and prevents
- the name conflict between pascal and pico-ampère.
-
-
-
- Without reference to history, it is difficult to explain that the
- degree Celsius is part of the SI, because the degree Celsius is in a
- unique way incoherent with the SI, and is even superfluous since the
- base unit kelvin measures the same kind of quantity.
-
-
-
-
+
+
+
+ The notation “10*” for powers of ten originated in the HL7 “ISO+“ extension of ISO 2955. In HL7 the character carat (‘^’) was thought as reserved. Since most people would expect to see “
+ 10^3” for the “third power of ten” and might in fact confuse “10*3” to mean “ten times 3”, the symbol using the carat was later added to The Unified Code for Units of Measure.
+
+
+
§30 SI units
+ ■1 SI units are defined by the international Conférence
+ Générale des Poids et Mesures (CGPM). The Unified Code for Units of Measure definitions for those units are given in Table
+ 4.
+ ■2 There are seven columns titled “name,” “print,” “c/s,” “c/i,” “M,” “value,” and “definition.” The name is the full (official) name of the unit. The symbol recommended for use in print this is listed in the
+ column “print.” “C/s,” and “c/i” list the symbol in the case sensitive and the case insensitive variants respectively. The column “M” specifies whether this is a metric unit. The definition is a valid case sensitive expression of The Unified Code for Units of Measure that defines the unit atom.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are defined by the CGPM and are out of scope of The Unified Code for Units of Measure.
+
+ ■4 The function pair denoted “cel(1 K)” is defined as fC(x) = x - 273.15 to convert from kelvin to degree Celsius, and
+ fC-1(x) = x + 273.15 to convert from degree Celsius back to kelvin.
+
+
+
+ The case insensitive symbol for pascal is “
+ PAL” which conforms to ISO 2955 and prevents the name conflict between pascal and pico-ampère.
+
+
+
+ Without reference to history, it is difficult to explain that the degree Celsius is part of the SI, because the degree Celsius is in a unique way incoherent with the SI, and is even superfluous since the base unit kelvin measures the same kind of quantity.
+
+
+
+
name
kind of quantity
print
@@ -1738,12 +1242,12 @@
Derived Unit Atoms
M
definition value
definition unit
-
-
- Table
- 4: SI units
-
-
+
+
+
+ Table 4: SI units
+
+
mole
amount of substance
mol
@@ -1752,11 +1256,11 @@
Derived Unit Atoms
MOL
yes
-
6.02214076
+
6.0221367
10*23
-
-
+
+
steradian
solid angle
sr
@@ -1768,8 +1272,8 @@
Derived Unit Atoms
1
rad2
-
-
+
+
hertz
frequency
Hz
@@ -1781,8 +1285,8 @@
Derived Unit Atoms
1
s-1
-
-
+
+
newton
force
N
@@ -1794,8 +1298,8 @@
Derived Unit Atoms
1
kg.m/s2
-
-
+
+
pascal
pressure
Pa
@@ -1807,8 +1311,8 @@
Derived Unit Atoms
1
N/m2
-
-
+
+
joule
energy
J
@@ -1820,8 +1324,8 @@
Derived Unit Atoms
1
N.m
-
-
+
+
watt
power
W
@@ -1833,8 +1337,8 @@
Derived Unit Atoms
1
J/s
-
-
+
+
ampère
electric current
A
@@ -1846,8 +1350,8 @@
Derived Unit Atoms
1
C/s
-
-
+
+
volt
electric potential
V
@@ -1859,8 +1363,8 @@
Derived Unit Atoms
1
J/C
-
-
+
+
farad
electric capacitance
F
@@ -1872,8 +1376,8 @@
Derived Unit Atoms
1
C/V
-
-
+
+
ohm
electric resistance
Ω
@@ -1885,8 +1389,8 @@
Derived Unit Atoms
1
V/A
-
-
+
+
siemens
electric conductance
S
@@ -1898,8 +1402,8 @@
Derived Unit Atoms
1
Ohm-1
-
-
+
+
weber
magnetic flux
Wb
@@ -1911,8 +1415,8 @@
Derived Unit Atoms
1
V.s
-
-
+
+
degree Celsius
temperature
°C
@@ -1924,8 +1428,8 @@
Derived Unit Atoms
•
cel(1 K)
-
-
+
+
tesla
magnetic flux density
T
@@ -1937,8 +1441,8 @@
Derived Unit Atoms
1
Wb/m2
-
-
+
+
henry
inductance
H
@@ -1950,8 +1454,8 @@
Derived Unit Atoms
1
Wb/A
-
-
+
+
lumen
luminous flux
lm
@@ -1963,8 +1467,8 @@
Derived Unit Atoms
1
cd.sr
-
-
+
+
lux
illuminance
lx
@@ -1976,8 +1480,8 @@
Derived Unit Atoms
1
lm/m2
-
-
+
+
becquerel
radioactivity
Bq
@@ -1989,8 +1493,8 @@
Derived Unit Atoms
1
s-1
-
-
+
+
gray
energy dose
Gy
@@ -2002,8 +1506,8 @@
Derived Unit Atoms
1
J/kg
-
-
+
+
sievert
dose equivalent
Sv
@@ -2015,26 +1519,17 @@
Derived Unit Atoms
1
J/kg
-
-
-
§31 other units from ISO 1000, ISO 2955 and ANSI X3.50
-
- ■1
- Those unit atoms listed by ISO 2955 under the heading “other
- units from ISO 1000” and some units from ANSI X3.50 are defined
- in Table
- 5.
- ■2
- The meaning of the columns is declared in §30.2.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are defined by ISO 1000 and are
- out of scope of The Unified Code for Units of Measure.
-
-
-
-
+
+
+
§31 other units from ISO 1000, ISO 2955 and ANSI X3.50
+ ■1 Those unit atoms listed by ISO 2955 under the heading “other units from ISO 1000” and some units from ANSI X3.50 are defined in Table
+ 5.
+ ■2 The meaning of the columns is declared in §30.2.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are defined by ISO 1000 and are out of scope of The Unified Code for Units of Measure.
+
+
+
+
name
kind of quantity
print
@@ -2043,12 +1538,12 @@
Derived Unit Atoms
M
definition value
definition unit
-
-
- Table
- 5: Other units from ISO 1000, ISO 2955, and some from ANSI X3.50.
-
-
+
+
+
+ Table 5: Other units from ISO 1000, ISO 2955, and some from ANSI X3.50.
+
+
gon, grade
plane angle
□g
@@ -2061,8 +1556,8 @@
Derived Unit Atoms
0.9
deg
-
-
+
+
degree
plane angle
°
@@ -2074,8 +1569,8 @@
Derived Unit Atoms
2
[pi].rad/360
-
-
+
+
minute
plane angle
'
@@ -2087,8 +1582,8 @@
Derived Unit Atoms
1
deg/60
-
-
+
+
second
plane angle
''
@@ -2100,8 +1595,8 @@
Derived Unit Atoms
1
'/60
-
-
+
+
liter
volume
l
@@ -2113,8 +1608,8 @@
Derived Unit Atoms
1
dm3
-
-
+
+
liter
volume
L
@@ -2126,8 +1621,8 @@
Derived Unit Atoms
1
l
-
-
+
+
are
area
a
@@ -2139,8 +1634,8 @@
Derived Unit Atoms
100
m2
-
-
+
+
minute
time
min
@@ -2152,8 +1647,8 @@
Derived Unit Atoms
60
s
-
-
+
+
hour
time
h
@@ -2165,8 +1660,8 @@
Derived Unit Atoms
60
min
-
-
+
+
day
time
d
@@ -2178,8 +1673,8 @@
Derived Unit Atoms
24
h
-
-
+
+
tropical year
time
at
@@ -2192,8 +1687,8 @@
Derived Unit Atoms
365.24219
d
-
-
+
+
mean Julian year
time
aj
@@ -2206,8 +1701,8 @@
Derived Unit Atoms
365.25
d
-
-
+
+
mean Gregorian year
time
ag
@@ -2220,8 +1715,8 @@
Derived Unit Atoms
365.2425
d
-
-
+
+
year
time
a
@@ -2233,8 +1728,8 @@
Derived Unit Atoms
1
a_j
-
-
+
+
week
time
wk
@@ -2246,8 +1741,8 @@
Derived Unit Atoms
7
d
-
-
+
+
synodal month
time
mos
@@ -2260,8 +1755,8 @@
Derived Unit Atoms
29.53059
d
-
-
+
+
mean Julian month
time
moj
@@ -2274,8 +1769,8 @@
Derived Unit Atoms
1
a_j/12
-
-
+
+
mean Gregorian month
time
mog
@@ -2288,8 +1783,8 @@
Derived Unit Atoms
1
a_g/12
-
-
+
+
month
time
mo
@@ -2301,8 +1796,8 @@
Derived Unit Atoms
1
mo_j
-
-
+
+
tonne
mass
t
@@ -2315,8 +1810,8 @@
Derived Unit Atoms
kg
-
-
+
+
bar
pressure
bar
@@ -2329,8 +1824,8 @@
Derived Unit Atoms
Pa
-
-
+
+
unified atomic mass unit
mass
u
@@ -2339,12 +1834,12 @@
Derived Unit Atoms
AMU
yes
-
1.66053906660 × 10-24
+
1.6605402 × 10-24
g
-
-
+
+
electronvolt
energy
eV
@@ -2356,8 +1851,8 @@
Derived Unit Atoms
1
[e].V
-
-
+
+
astronomic unit
length
AU
@@ -2369,8 +1864,8 @@
Derived Unit Atoms
149597.870691
Mm
-
-
+
+
parsec
length
pc
@@ -2383,143 +1878,79 @@
Derived Unit Atoms
m
-
-
-
- In the case sensitive variant the liter is defined both with an upper
- case ‘L” and a lower case
- ‘l’. NIST [63 FR 40338] declares the upper case
- ‘L’ as the prefered symbol for the U.S., while in many other
- countries the lower case ‘l’ is used. In fact the lower case
- ‘l’ was in effect since 1879. A hundred years later in 1979
- the 16th CGPM decided to adopt the upper case ‘L’ as a
- second symbol for the liter. In the case insensitive variant there is
- only one symbol defined since there is no difference between upper
- case ‘L’ and lower case ‘l’.
-
-
-
- The unit “are” competes with year for the symbol
- “a” not only in ISO 2955, and ANSI X3.50, but also in
- ISO 1000 as stating the official CGPM approved symbols. This is why
- the symbol for are is “ar” in
- The Unified Code for Units of Measure. ISO 2955 explicitly adds the unit atom
- “ha” for hectare, while “hectare”
- is just the correct spelling of the compositum of “hecto”
- and “are” and thus would not require a separate unit
- atom. Nevertheless, ISO 2955 in its case insensitive variant assigns
- “ARE” to the are and
- “har” to the hectare. This is obviously an
- anomality which The Unified Code for Units of Measure will not follow. As a metric unit,
- “ar” can be prefixed with
- “h” to yield “har”
-
-
-
- ANSI X3.50 had two different series of symbols for the units of time,
- the ones from ISO 2955 as adopted by The Unified Code for Units of Measure and the symbols
- “yr” “mo”
- “wk” “hr” and
- “sec” while “d” and
- “min” were defined twice. The Unified Code for Units of Measure does not
- define these synonyms of ISO 2955 symbols, but does adopt those units
- from ANSI X3.50 that are not part of ISO 2955, namely
- “mo” and “wk” Month
- and week are useful units mainly in business or clinical medicine.
-
-
-
- The semantics of the units of time is difficult to capture. The
- difficulties start with the day: There is the sidereal and the solar
- day that depend on the earth's rotation. The earth's rotation is
- variable during one day and is continually slowing down in the long
- run. The usual subdivisions of the day in 24 hours of 60 minutes and
- 60 seconds originated in Babylonia. The earth's rotation was too
- inexact to measure time, which is why the 11th CGPM (1954) defined the
- second based on a standarized historical tropical year (see below)
- which was later (13th CGPM 1967-1968) replaced by frequency
- measurement. Thus the second came to be the base unit of time and the
- day is now 864000 s exactly with the Universal Coordinated
+
+
+
+ In the case sensitive variant the liter is defined both with an upper case ‘L” and a lower case ‘
+ l’. NIST [63 FR 40338] declares the upper case ‘L’ as the prefered symbol for the U.S., while in many other countries the lower case ‘l’ is used. In fact the lower case ‘l’ was in effect since 1879. A hundred years later in 1979 the
+ 16th CGPM decided to adopt the upper case ‘L’ as a second symbol for the liter. In the case insensitive variant there is only one symbol defined since there is no difference between upper case ‘L’ and lower case ‘l’.
+
+
+
+ The unit “are” competes with year for the symbol “a” not only in ISO 2955, and ANSI X3.50, but also in ISO 1000 as stating the official CGPM approved symbols. This is why the symbol for are is “ar” in
+ The Unified Code for Units of Measure. ISO 2955 explicitly adds the unit atom “
+ ha” for hectare, while “hectare” is just the correct spelling of the compositum of “hecto” and “are” and thus would not require a separate unit atom. Nevertheless, ISO 2955 in its case insensitive variant assigns “
+ ARE” to the are and “
+ har” to the hectare. This is obviously an anomality which The Unified Code for Units of Measure will not follow. As a metric unit, “
+ ar” can be prefixed with “
+ h” to yield “har”
+
+
+
+ ANSI X3.50 had two different series of symbols for the units of time, the ones from ISO 2955 as adopted by The Unified Code for Units of Measure and the symbols “
+ yr” “mo” “
+ wk” “hr” and “
+ sec” while “d” and “
+ min” were defined twice. The Unified Code for Units of Measure does not define these synonyms of ISO 2955 symbols, but does adopt those units from ANSI X3.50 that are not part of ISO 2955, namely “
+ mo” and “wk” Month and week are useful units mainly in business or clinical medicine.
+
+
+
+ The semantics of the units of time is difficult to capture. The difficulties start with the day: There is the sidereal and the solar day that depend on the earth's rotation. The earth's rotation is variable during one day and is continually slowing down
+ in the long run. The usual subdivisions of the day in 24 hours of 60 minutes and 60 seconds originated in Babylonia. The earth's rotation was too inexact to measure time, which is why the 11th CGPM (1954) defined the second based on a standarized
+ historical tropical year (see below) which was later (13th CGPM 1967-1968) replaced by frequency measurement. Thus the second came to be the base unit of time and the day is now 864000 s exactly with the Universal Coordinated
Time (UTC) adding leap seconds every now and then.
-
-
-
- For the year we have to distinguish the “tropical” (solar,
- sidereal) year from the calendar year. And both are difficult. The
- tropical year is the year defined by time the earth travels around the
- sun. This is difficult to measure and varies over time. Around 1900
- it was 365.242196 d, currently it is 365.242190 d and around
- 2100 it will be 365.242184 d. In addition these durations are
- averages. The actual length of each year may vary by several minutes
- due to the gravitational influence of other planets. Thus there is
- quite a high uncertainty already in the fourth decimal digit.
-
-
-
- The calendar year is also difficult because there is the Julian
- calendar (Sosigenes of Alexandria and Julius Caesar, 45 BC) with a
- slightly too long year of 365.25 d that causes the calendar to be
- one day ahead of the tropical year in 128 years. The Gregorian
- calendar (Christopher Clavius 1537-1612 and Pope Gregory XIII
- 1545-1563) leaves out three leap years in 400 years (let n be the
- year number, the leap year is dropped if n mod 100 = 0 but not n
- mod 400 = 0.) The Gregorian mean year is thus 365.2425 d.
- This leap year arithmetic seems to be too much even for astronomers,
- which is why the light year ends up being defined based on the Julian
- year [NIST Sp. Pub. 811, 1995 Edition]. For this reason The Unified Code for Units of Measure
- defines Tropical, Julian and Gregorian year by means of subscripts,
- but assigns the default year symbol to the Julian year.
-
-
-
- The week is 7 days, this is a biblic truth we can count on (it is
- actually quite plausible that the week of seven days originated in
- Babylonia and entered Jewish tradition during the Babylonian exile.)
-
-
-
- The difficultiy continues with the month. The lunar (so called
- “synodal” month is variable. Around 1900 it was
- 29.5305886 d currently it is 29.5305889 d and in 2100 it
- will be 29.5305891 d, which we fixate in the 5th decimal digit
- with a considerable uncertainty. The calendar month is difficult
- because of the uneven distribution of days in a month over the year,
- and because of the two different calendar years. But we will usually
- use the mean calendar month, which is the Julian calendar year divided
- by 12.
-
-
-
- As a conclusion, great care has to be taken when the “customary
- units” of time are used to measure time. The SI has fixated the
- second which should be used whenever accuracy is required. For
- business purposes the Julian calendar is sufficient especially since
- the notion of the Work-Day (vs. Holiday) is more important than the
- imprecision over 128 years.
-
- [Sources: “Calendar” Britannica Online.http://www.eb.com:180/cgi-bin/g?DocF=macro/5000/98/toc.html.
- Claus Tondering, Frequently asked questions about
- calendars.
- Part 1. 1998. http://www.pip.dknet.dk/~c-t/calendar.faq1.txt]
-
-
-
§32 natural units
-
- ■1
- Fundamental constants of nature and units derived from these constants
- are defined in Table
- 6.
- ■2
- The meaning of the columns is declared in §30.2.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are defined by ISO 1000 and are
- out of scope of The Unified Code for Units of Measure.
-
-
-
-
+
+
+
+ For the year we have to distinguish the “tropical” (solar, sidereal) year from the calendar year. And both are difficult. The tropical year is the year defined by time the earth travels around the sun. This is difficult to measure and varies over time.
+ Around 1900 it was 365.242196 d, currently it is 365.242190 d and around 2100 it will be 365.242184 d. In addition these durations are averages. The actual length of each year may vary by several minutes due to the gravitational
+ influence of other planets. Thus there is quite a high uncertainty already in the fourth decimal digit.
+
+
+
+ The calendar year is also difficult because there is the Julian calendar (Sosigenes of Alexandria and Julius Caesar, 45 BC) with a slightly too long year of 365.25 d that causes the calendar to be one day ahead of the tropical year in 128 years.
+ The Gregorian calendar (Christopher Clavius 1537-1612 and Pope Gregory XIII 1545-1563) leaves out three leap years in 400 years (let n be the year number, the leap year is dropped if n mod 100 = 0 but not n mod
+ 400 = 0.) The Gregorian mean year is thus 365.2425 d. This leap year arithmetic seems to be too much even for astronomers, which is why the light year ends up being defined based on the Julian year [NIST Sp. Pub. 811, 1995 Edition].
+ For this reason The Unified Code for Units of Measure defines Tropical, Julian and Gregorian year by means of subscripts, but assigns the default year symbol to the Julian year.
+
+
+
+ The week is 7 days, this is a biblic truth we can count on (it is actually quite plausible that the week of seven days originated in Babylonia and entered Jewish tradition during the Babylonian exile.)
+
+
+
+ The difficultiy continues with the month. The lunar (so called “synodal” month is variable. Around 1900 it was 29.5305886 d currently it is 29.5305889 d and in 2100 it will be 29.5305891 d, which we fixate in the 5th decimal digit with
+ a considerable uncertainty. The calendar month is difficult because of the uneven distribution of days in a month over the year, and because of the two different calendar years. But we will usually use the mean calendar month, which is the Julian
+ calendar year divided by 12.
+
+
+
+ As a conclusion, great care has to be taken when the “customary units” of time are used to measure time. The SI has fixated the second which should be used whenever accuracy is required. For business purposes the Julian calendar is sufficient especially
+ since the notion of the Work-Day (vs. Holiday) is more important than the imprecision over 128 years. [Sources: “Calendar” Britannica Online.http://www.eb.com:180/cgi-bin/g?DocF=macro/5000/98/toc.html. Claus Tondering,
+ Frequently asked questions about
+ calendars. Part 1. 1998. http://www.pip.dknet.dk/~c-t/calendar.faq1.txt]
+
+
+
§32 natural units
+ ■1 Fundamental constants of nature and units derived from these constants are defined in Table
+ 6.
+ ■2 The meaning of the columns is declared in §30.2.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are defined by ISO 1000 and are out of scope of The Unified Code for Units of Measure.
+
+
+
+
name
kind of quantity
print
@@ -2528,12 +1959,12 @@
Derived Unit Atoms
M
definition value
definition unit
-
-
- Table
- 6: Natural units.
-
-
+
+
+
+ Table 6: Natural units.
+
+
velocity of light
velocity
c
@@ -2546,8 +1977,8 @@
Derived Unit Atoms
299792458
m/s
-
-
+
+
Planck constant
action
h
@@ -2561,8 +1992,8 @@
Derived Unit Atoms
J.s
-
-
+
+
Boltzmann constant
(unclassified)
k
@@ -2576,8 +2007,8 @@
Derived Unit Atoms
J/K
-
-
+
+
permittivity of vacuum
electric permittivity
ε0
@@ -2591,8 +2022,8 @@
Derived Unit Atoms
F/m
-
-
+
+
permeability of vacuum
magnetic permeability
μ0
@@ -2605,8 +2036,8 @@
Derived Unit Atoms
1
4.[pi].10*-7.N/A2
-
-
+
+
elementary charge
electric charge
e
@@ -2620,8 +2051,8 @@
Derived Unit Atoms
C
-
-
+
+
electron mass
mass
me
@@ -2635,8 +2066,8 @@
Derived Unit Atoms
g
-
-
+
+
proton mass
mass
mp
@@ -2650,8 +2081,8 @@
Derived Unit Atoms
g
-
-
+
+
Newtonian constant of gravitation
(unclassified)
G
@@ -2665,8 +2096,8 @@
Derived Unit Atoms
m3.kg-1.s-2
-
-
+
+
standard acceleration of free fall
acceleration
gn
@@ -2679,8 +2110,8 @@
Derived Unit Atoms
9.80665
m/s2
-
-
+
+
standard atmosphere
pressure
atm
@@ -2692,8 +2123,8 @@
Derived Unit Atoms
101325
Pa
-
-
+
+
light-year
length
l.y.
@@ -2705,8 +2136,8 @@
Derived Unit Atoms
1
[c].a_j
-
-
+
+
gram-force
force
gf
@@ -2718,8 +2149,8 @@
Derived Unit Atoms
1
g.[g]
-
-
+
+
pound force
force
lbf
@@ -2731,44 +2162,28 @@
Derived Unit Atoms
1
[lb_av].[g]
-
-
-
- This list is not complete. It does not list all constants but only
- those that are fundamental and from which many other constants can be
- derived. The source of this table is The NIST Reference on
- Constants, Units, and Uncertainty Version 2.1, 21 May 1998. NIST
- Physics
- Laboratory. http://physics.nist.gov/cuu/Constants/index.html
-
- In the base system of The Unified Code for Units of Measure, the general gas constant R is
- identical to the Boltzman constant k. In the SI both are related
- through R = k × NA, where
- NA = 6.02214076 × 1023 /mol is
- the Avogadro constant. Because The Unified Code for Units of Measure defines the mole to be the
- dimensionless Avogadro number (number of particles in 1 g of
- 12C itself, there is no difference anymore if the Boltzman
- constant is given as k = 1.380658 ×
- 1023 J/K or R =
- 8.314511 J mol-1 K-1.
-
-
-
§33 CGS units
-
- ■1
- The units of the older Centimeter-Gram-Second (CGS) system are defined
- in Table
- 7.
- ■2
- The meaning of the columns is declared in §30.2.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
-
-
-
-
+
+
+
+ This list is not complete. It does not list all constants but only those that are fundamental and from which many other constants can be derived. The source of this table is The NIST Reference on
+ Constants, Units, and Uncertainty Version 2.1, 21 May 1998. NIST Physics Laboratory. http://physics.nist.gov/cuu/Constants/index.html
+
+ In the base system of The Unified Code for Units of Measure, the general gas constant R is identical to the Boltzman constant k. In the SI both are related through R = k × NA, where
+ NA = 6.0221367 × 1023 /mol is the Avogadro constant. Because The Unified Code for Units of Measure defines the mole to be the dimensionless Avogadro number (number of particles in 1 g of
+ 12C itself, there is no difference anymore if the Boltzman constant is given as k = 1.380658 × 10
+ 23 J/K or R = 8.314511 J mol
+ -1 K-1.
+
+
+
§33 CGS units
+ ■1 The units of the older Centimeter-Gram-Second (CGS) system are defined in Table
+ 7.
+ ■2 The meaning of the columns is declared in §30.2.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
+
+
+
+
name
kind of quantity
print
@@ -2777,12 +2192,12 @@
Derived Unit Atoms
M
definition value
definition unit
-
-
- Table
- 7: CGS units
-
-
+
+
+
+ Table 7: CGS units
+
+
Kayser
lineic number
K
@@ -2794,8 +2209,8 @@
Derived Unit Atoms
1
cm-1
-
-
+
+
Gal
acceleration
Gal
@@ -2807,8 +2222,8 @@
Derived Unit Atoms
1
cm/s2
-
-
+
+
dyne
force
dyn
@@ -2820,8 +2235,8 @@
Derived Unit Atoms
1
g.cm/s2
-
-
+
+
erg
energy
erg
@@ -2833,8 +2248,8 @@
Derived Unit Atoms
1
dyn.cm
-
-
+
+
Poise
dynamic viscosity
P
@@ -2846,8 +2261,8 @@
Derived Unit Atoms
1
dyn.s/cm2
-
-
+
+
Biot
electric current
Bi
@@ -2859,8 +2274,8 @@
Derived Unit Atoms
10
A
-
-
+
+
Stokes
kinematic viscosity
St
@@ -2872,8 +2287,8 @@
Derived Unit Atoms
1
cm2/s
-
-
+
+
Maxwell
flux of magnetic induction
Mx
@@ -2886,8 +2301,8 @@
Derived Unit Atoms
Wb
-
-
+
+
Gauss
magnetic flux density
Gs, G
@@ -2900,8 +2315,8 @@
Derived Unit Atoms
T
-
-
+
+
Oersted
magnetic field intensity
Oe
@@ -2913,8 +2328,8 @@
Derived Unit Atoms
250
/[pi].A/m
-
-
+
+
Gilbert
magnetic tension
Gb
@@ -2926,8 +2341,8 @@
Derived Unit Atoms
1
Oe.cm
-
-
+
+
stilb
lum. intensity density
sb
@@ -2939,8 +2354,8 @@
Derived Unit Atoms
1
cd/cm2
-
-
+
+
Lambert
brightness
L
@@ -2952,8 +2367,8 @@
Derived Unit Atoms
1
cd/cm2/[pi]
-
-
+
+
phot
illuminance
ph
@@ -2966,8 +2381,8 @@
Derived Unit Atoms
lx
-
-
+
+
Curie
radioactivity
Ci
@@ -2980,8 +2395,8 @@
Derived Unit Atoms
Bq
-
-
+
+
Roentgen
ion dose
R
@@ -2994,8 +2409,8 @@
Derived Unit Atoms
C/kg
-
-
+
+
radiation absorbed dose
energy dose
RAD
@@ -3007,8 +2422,8 @@
Derived Unit Atoms
100
erg/g
-
-
+
+
radiation equivalent man
dose equivalent
REM
@@ -3020,181 +2435,99 @@
Derived Unit Atoms
1
RAD
-
-
-
- Although the CGPM “accepts” only very few CGS units “for use with
- the SI,” CGS units are proper metric units. CGS units are still used
- in many physiological laboratories and in clinical diagnostics (e.g.,
- cardiology). In addition CGS units ackquired a special dignity as this
- was the system of units used by the great physicists of the early 20th
- century, Albert Einstein, Max Planck, and many others who worked on
- the scientific revolution that had quite a cultural impact.
-
-
-
- The CGS system defined electric and magnetic phenomena differently
- which is why the units named “oersted” and “maxwell” have no
- proper SI counterpart. This table was compiled from various sources
- and is not complete and not very systematic. We therefore welcome
- suggestions and advice as to how this table could be completed.
-
-
-
-
+
+
+
+ Although the CGPM “accepts” only very few CGS units “for use with the SI,” CGS units are proper metric units. CGS units are still used in many physiological laboratories and in clinical diagnostics (e.g., cardiology). In addition CGS units ackquired a
+ special dignity as this was the system of units used by the great physicists of the early 20th century, Albert Einstein, Max Planck, and many others who worked on the scientific revolution that had quite a cultural impact.
+
+
+
+ The CGS system defined electric and magnetic phenomena differently which is why the units named “oersted” and “maxwell” have no proper SI counterpart. This table was compiled from various sources and is not complete and not very systematic. We therefore
+ welcome suggestions and advice as to how this table could be completed.
+
+
+
+
-
4.4
-
+
+ 4.4
+
-
Customary Unit Atoms
-
-
-
-
- Customary units have once been used all over Europe. Units were taken
- from nature: anatomical structures (e.g., arm, foot, finger),
- botanical objects (e.g., grains of various sorts, rod), or processes
- of everyday life (e.g., amount of land one could plow in a morning,
- the length of 1000 steps, an hour of walking, etc.).
-
-
-
- Many of these units can be traced back in history to the Romans
- (mile), Greeks (carat) and even more ancient times. It is thus no
- wonder that this heritage was in some way ordered. Indeed, one finds
- the same names for units used in different countries and most of these
- units where divided into smaller or multiplied to larger units in the
- same way.
-
-
-
- For example, there was the foot (de. “Fuß”
- fr. “pied” nl. “voet”) that was divided into
- 12 inches (de. “Zoll” fr. “pouce”). An inch
- was divided into 12 lines (de. “Linie”
- fr. “ligne” ). Two feet was one ell
- (de. “Elle” da. “Alen”
- sv. “Aln”). The ell was, however, not very popular in
- England, as opposed to the rest of Europe. Conversely, the yard is
- hard to find elsewhere, aside from the Argentinian “vara.”
- But it is perhaps no accident that the meter ended up as the 40 ×
- 10-6 of an earth's meridian, which is approximately one
- yard (43.7 × 10-6). The rod (de. “Rute”
- fr. “perche” nl. “roede”
- sv. “stång”) was very popular all over Europe and so
- was the fathom (de. “Klafter”).
-
-
-
- The square rod (de. “Quadratrute” fr. “perche-carrée”
- nl. “vierkante-roede” was mainly used to measure land. The acre as
- the legnedary land to sow in one morning (or day) is also widespread
- (de. “Morgen, Tagwerk, Acker” fr. “arpent” sv. “tunnland” ,
- although the exact amount in square rod varies considerably from
- region to region. Interestingly, even the special purpose measures
- such as the “hand” for measuring horses have international equivalents
- (de. “faust”).
-
-
-
- One can indeed say that there was once a “système
- international d'unités coutumières“ but the
- magnitudes of the units were not standardized internationally. Of
- course, Great Britain had the most impact in standardizing the
- customary system, because of its colonies, including its most
- important colony, America. However, after the customary units were
- established in the U.S. a major reform took place through the British
- Weights and Measures Act of 1824. For instance, Queen Anne's wine
- Gallon of 231 cubic inches, still used in the U.S., was discarded
- then, and the older bushel was standardized differently in Great
- Britain. Other deviations between the English and U.S. measures are
- due to various alignments with the metric system. Thus, in the U.S.,
- the yard was standardized as 3600/3937 m and the inch was
- 2.540005 cm while in England the inch was still 2.539998 cm.
-
-
-
- In 1959 major parts of the U.S. and British system of customary units
- were standardized internationally, again aligned to the metric system
- which is why the international yard is 0.9144 m exactly and the
- nautical mile became 1852 m exactly. However, traditional
- subdivisions and multiples have not been abolished in favor of the
- international standard. Furthermore the old U.S. standard for the yard
- is still legally used for land surveying.
-
-
-
- Conclusively, there are different systems of customary units that are
- in use today. These systems use the same names for units that have
- different equivalents in the metric system, because the customary
- systems are based on different reference quantities but multiples and
- subdivisions of the reference quantities are very similar, though with
- notable exceptions.
-
-
-
- In the following tables we tried to give the original definitions to
- the customary units. This means in general that the references to the
- metric system are as few as possible, with most of the units of one
- system defined as multiples and subdivisions of one reference unit.
-
-
-
- We use the subscript notation to disambiguate units with same names in
- the different systems. Subscript notation means, for instance that if
- the print symbol for foot is “ft” we use subscripts to
- distinguish the international foot “fti” the
- U.S. survey foot “ftus” and the British
- Imperial foot “ftbr” We do not actually list
- print symbols for customary units, because there seems to be no
- standard for it, and because defining print symbols is out of scope of
- The Unified Code for Units of Measure. However, we presume that subscripts be used to disambiguate
- whatever print symbols are being used. According to §§13ff, The Unified Code for Units of Measure uses the underscore to denote those
- subscripts, and also encloses the entire unit atom into square
- brackets. Hence, the symbols for the international foot, the
- U.S. survey foot and the British Imperial foot are defined as
- “[ft_i],” “[ft_us],”
- and “[ft_br]” respectively.
-
-
-
- Prospective users of The Unified Code for Units of Measure may be disappointed by the fact that
- there are many different symbols for foot and inch defined but all of
- them have a subscript and thus none of them are equal to the
- ANSI X3.50 symbols. We considered to define default symbols for
- customary units, where, e.g., the common units of length (foot, inch)
- would default to the international customary units, while mass units
- (pound, ounce) would default to the avoirdupois system. However,
- because the customary system is quite complex, and units by the same
- names can differ by more than 20%, defining defaults will probably
- cause even more confusion. There is no denial: a gallon is not just a
- gallon and a pound is not just a pound, this is the disadvantage of
- dealing with a unit system of medieval origin.
-
-
-
§34 international customary units
-
- ■1
- The unified U.S. and British Imperial customary units, so called
- “international” customary units are defined in Table
- 8.
- ■2
- The meaning of the columns is declared in §30.2. With the exception that the column named
- “print” is not available.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. The full name is out of scope of The Unified Code for Units of Measure.
- ■4
- The special symbols for “square inch,” “cubic
- foot,” etc. are deprecated. The preferred expressions use the
- exponents 2 and 3 respectively as shown in the column
- “definition”
-
-
-
-
+
Customary Unit Atoms
+
+
+
+
+ Customary units have once been used all over Europe. Units were taken from nature: anatomical structures (e.g., arm, foot, finger), botanical objects (e.g., grains of various sorts, rod), or processes of everyday life (e.g., amount of land one could plow
+ in a morning, the length of 1000 steps, an hour of walking, etc.).
+
+
+
+ Many of these units can be traced back in history to the Romans (mile), Greeks (carat) and even more ancient times. It is thus no wonder that this heritage was in some way ordered. Indeed, one finds the same names for units used in different countries
+ and most of these units where divided into smaller or multiplied to larger units in the same way.
+
+
+
+ For example, there was the foot (de. “Fuß” fr. “pied” nl. “voet”) that was divided into 12 inches (de. “Zoll” fr. “pouce”). An inch was divided into 12 lines (de. “Linie” fr. “ligne” ). Two feet was one ell (de. “Elle” da. “Alen” sv. “Aln”). The ell was,
+ however, not very popular in England, as opposed to the rest of Europe. Conversely, the yard is hard to find elsewhere, aside from the Argentinian “vara.” But it is perhaps no accident that the meter ended up as the 40 × 10
+ -6 of an earth's meridian, which is approximately one yard (43.7 × 10-6). The rod (de. “Rute” fr. “perche” nl. “roede” sv. “stång”) was very popular all over Europe and so was the fathom (de. “Klafter”).
+
+
+
+ The square rod (de. “Quadratrute” fr. “perche-carrée” nl. “vierkante-roede” was mainly used to measure land. The acre as the legnedary land to sow in one morning (or day) is also widespread (de. “Morgen, Tagwerk, Acker” fr. “arpent” sv. “tunnland” , although
+ the exact amount in square rod varies considerably from region ro region. Interestingly, even the special purpose measures such as the “hand” for measuring horses have international equivalents (de. “faust”).
+
+
+
+ One can indeed say that there was once a “système
+ international d'unités coutumières“ but the magnitudes of the units were not standardized internationally. Of course, Great Britain had the most impact in standardizing the customary system, because of its colonies, including its most
+ important colony, America. However, after the customary units were established in the U.S. a major reform took place through the British Weights and Measures Act of 1824. For instance, Queen Anne's wine Gallon of 231 cubic inches, still used in
+ the U.S., was discarded then, and the older bushel was standardized differently in Great Britain. Other deviations between the English and U.S. measures are due to various alignments with the metric system. Thus, in the U.S., the yard was standardized
+ as 3600/3937 m and the inch was 2.540005 cm while in England the inch was still 2.539998 cm.
+
+
+
+ In 1959 major parts of the U.S. and British system of customary units were standardized internationally, again aligned to the metric system which is why the international yard is 0.9144 m exactly and the nautical mile became 1852 m exactly.
+ However, traditional subdivisions and multiples have not been abolished in favor of the international standard. Furthermore the old U.S. standard for the yard is still legally used for land surveying.
+
+
+
+ Conclusively, there are different systems of customary units that are in use today. These systems use the same names for units that have different equivalents in the metric system, because the customary systems are based on different reference quantities
+ but multiples and subdivisions of the reference quantities are very similar, though with notable exceptions.
+
+
+
+ In the following tables we tried to give the original definitions to the customary units. This means in general that the references to the metric system are as few as possible, with most of the units of one system defined as multiples and subdivisions
+ of one reference unit.
+
+
+
+ We use the subscript notation to disambiguate units with same names in the different systems. Subscript notation means, for instance that if the print symbol for foot is “ft” we use subscripts to distinguish the international foot “fti”
+ the U.S. survey foot “ftus” and the British Imperial foot “ftbr” We do not actually list print symbols for customary units, because there seems to be no standard for it, and because defining print symbols is out of scope
+ of
+ The Unified Code for Units of Measure. However, we presume that subscripts be used to disambiguate whatever print symbols are being used. According to §§13ff, The Unified Code for Units of Measure uses the underscore to denote those subscripts, and also encloses the entire unit atom into square brackets. Hence, the symbols for the international foot, the U.S. survey foot and the British Imperial foot are defined as “
+ [ft_i],” “[ft_us],” and “[ft_br]” respectively.
+
+
+
+ Prospective users of The Unified Code for Units of Measure may be disappointed by the fact that there are many different symbols for foot and inch defined but all of them have a subscript and thus none of them are equal to the ANSI X3.50
+ symbols. We considered to define default symbols for customary units, where, e.g., the common units of length (foot, inch) would default to the international customary units, while mass units (pound, ounce) would default to the avoirdupois system.
+ However, because the customary system is quite complex, and units by the same names can differ by more than 20%, defining defaults will probably cause even more confusion. There is no denial: a gallon is not just a gallon and a pound is not just
+ a pound, this is the disadvantage of dealing with a unit system of medieval origin.
+
+
+
§34 international customary units
+ ■1 The unified U.S. and British Imperial customary units, so called “international” customary units are defined in Table
+ 8.
+ ■2 The meaning of the columns is declared in §30.2. With the exception that the column named “print” is not available.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. The full name is out of scope of The Unified Code for Units of Measure.
+ ■4 The special symbols for “square inch,” “cubic foot,” etc. are deprecated. The preferred expressions use the exponents 2 and 3 respectively as shown in the column “definition”
+
+
+
+
name
kind of quantity
c/s
@@ -3202,12 +2535,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 8: International customary units
-
-
+
+
+
+ Table 8: International customary units
+
+
inch
length
[in_i]
@@ -3218,8 +2551,8 @@
Customary Unit Atoms
2.54
cm
-
-
+
+
foot
length
[ft_i]
@@ -3230,8 +2563,8 @@
Customary Unit Atoms
12
[in_i]
-
-
+
+
yard
length
[yd_i]
@@ -3242,8 +2575,8 @@
Customary Unit Atoms
3
[ft_i]
-
-
+
+
mile
length
[mi_i]
@@ -3254,8 +2587,8 @@
Customary Unit Atoms
5280
[ft_i]
-
-
+
+
fathom
depth of water
[fth_i]
@@ -3266,8 +2599,8 @@
Customary Unit Atoms
6
[ft_i]
-
-
+
+
nautical mile
length
[nmi_i]
@@ -3278,8 +2611,8 @@
Customary Unit Atoms
1852
m
-
-
+
+
knot
velocity
[kn_i]
@@ -3290,8 +2623,8 @@
Customary Unit Atoms
1
[nmi_i]/h
-
-
+
+
square inch
area
[sin_i]
@@ -3302,8 +2635,8 @@
Customary Unit Atoms
1
[in_i]2
-
-
+
+
square foot
area
[sft_i]
@@ -3314,8 +2647,8 @@
Customary Unit Atoms
1
[ft_i]2
-
-
+
+
square yard
area
[syd_i]
@@ -3326,8 +2659,8 @@
Customary Unit Atoms
1
[yd_i]2
-
-
+
+
cubic inch
volume
[cin_i]
@@ -3338,8 +2671,8 @@
Customary Unit Atoms
1
[in_i]3
-
-
+
+
cubic foot
volume
[cft_i]
@@ -3350,8 +2683,8 @@
Customary Unit Atoms
1
[ft_i]3
-
-
+
+
cubic yard
volume
[cyd_i]
@@ -3362,8 +2695,8 @@
Customary Unit Atoms
1
[yd_i]3
-
-
+
+
board foot
volume
[bf_i]
@@ -3374,8 +2707,8 @@
Customary Unit Atoms
144
[in_i]3
-
-
+
+
cord
volume
[cr_i]
@@ -3386,8 +2719,8 @@
Customary Unit Atoms
128
[ft_i]3
-
-
+
+
mil
length
[mil_i]
@@ -3399,8 +2732,8 @@
Customary Unit Atoms
[in_i]
-
-
+
+
circular mil
area
[cml_i]
@@ -3411,8 +2744,8 @@
Customary Unit Atoms
1
[pi]/4.[mil_i]2
-
-
+
+
hand
height of horses
[hd_i]
@@ -3423,80 +2756,49 @@
Customary Unit Atoms
4
[in_i]
-
-
-
- In general the international customary units are effective in the
- U.S. and in Great Britain since 1959. We are unsure, however, about
- this in countries that formerly or at present belong to the
- Commonwealth. We therefore appreciate advice and reference to original
- sources on this transition. Conceivably other countries may have made
- exceptions in the transition to the international definitions of
- customary units, such as the U.S. where the old definitions have been
- retained for the purpose of land surveying.
-
-
-
- It is not quite clear exactly what units the international customary
- system comprises. According to the Encyclopedia Britannica
- [British Imperial System. Britannica Online], the rod was
- removed in Great Britain in 1963. Since the definition of the acre is
- based on the rod, we did not include rod and acre in the international
- customary system. In the U.S. the acre is still defined on the older
- U.S. customary system as of 1893.
-
-
-
- In general, we did not include special customary units of area and
- volume in Table
- 8, since these are still used
- differently in the U.S. Special symbols such as suqare inch and cubic
- foot have been included according to ANSI X3.50. Generally the
- “square-” and “cubic-” prefixes are
- unnecessary in ISO 2955 and ANSI X3.50 and are deprecated by
- The Unified Code for Units of Measure. We placed the board foot, cord and circular mil into the
- international table because these units are suggested by
- ANSI X3.50 but we were not sure in what sense they are still
- used. We did, however, not include the square mile in the
- international table because in the U.S. measurements in square miles
- are most likely based on the survey mile that is part of the older
- system, see §35.
-
-
-
- The circular mil is exactly the area of a circle with a diameter of
- one mil. One mil, in turn, equals 1/1000 inch (“mil” is the
- etymological equivalent of “milli-inch” ) The mil has been
- defined in Table
- 8 to support the exact definition of
- the circular mil.
-
-
-
- ANSI X3.50 does not define a symbol for the “hand,” but this unit is
- mentioned in the table given by the Encyclopedia Britannica. The hand
- is used in measuring the height of horses from foot to shoulder. It
- was probably not subject to the internationalization of customary
- units. Any advice as whether the hand is used based on an older
- British or U.S. definition is appreciated.
-
-
-
§35 U.S. survey lengths
-
- ■1
- The older U.S. units according to the definition of the inch in the
- U.S. Metric Law of 1866 and the definition of foot and yard that was
- valid from 1893 until 1959.
- ■2
- The meaning of the columns is declared in §34.
-
+
+
+
+ In general the international customary units are effective in the U.S. and in Great Britain since 1959. We are unsure, however, about this in countries that formerly or at present belong to the Commonwealth. We therefore appreciate advice and reference
+ to original sources on this transition. Conceivably other countries may have made exceptions in the transition to the international definitions of customary units, such as the U.S. where the old definitions have been retained for the purpose of
+ land surveying.
+
+
+
+ It is not quite clear exactly what units the international customary system comprises. According to the Encyclopedia Britannica [
+ British Imperial System. Britannica Online], the rod was removed in Great Britain in 1963. Since the definition of the acre is based on the rod, we did not include rod and acre in the international customary system. In the U.S. the acre
+ is still defined on the older U.S. customary system as of 1893.
+
+
+
+ In general, we did not include special customary units of area and volume in Table
+ 8, since these are still used differently in the U.S. Special symbols such as suqare inch and cubic foot have been included according to ANSI X3.50. Generally the “square-” and “cubic-” prefixes are unnecessary in ISO 2955
+ and ANSI X3.50 and are deprecated by
+ The Unified Code for Units of Measure. We placed the board foot, cord and circular mil into the international table because these units are suggested by ANSI X3.50 but we were not sure in what sense they are still used. We did, however,
+ not include the square mile in the international table because in the U.S. measurements in square miles are most likely based on the survey mile that is part of the older system, see §35.
+
+
+
+ The circular mil is exactly the area of a circle with a diameter of one mil. One mil, in turn, equals 1/1000 inch (“mil” is the etymological equivalent of “milli-inch” ) The mil has been defined in Table
+ 8 to support the exact definition of the circular mil.
+
+
+
+ ANSI X3.50 does not define a symbol for the “hand,” but this unit is mentioned in the table given by the Encyclopedia Britannica. The hand is used in measuring the height of horses from foot to shoulder. It was probably not subject to the internationalization
+ of customary units. Any advice as whether the hand is used based on an older British or U.S. definition is appreciated.
+
+
+
§35 U.S. survey lengths
+ ■1 The older U.S. units according to the definition of the inch in the U.S. Metric Law of 1866 and the definition of foot and yard that was valid from 1893 until 1959.
+ ■2 The meaning of the columns is declared in §34.
+
[Barry N. Taylor, Guide to the Use of the International Stsyem of
Units (SI) [NIST Special Publication 811], National Institute for
Standards and Technology (NIST), 1995. Available from: URL:
http://physics.nist.gov/Document/sp811.pdf]
-
-
+
+
name
kind of quantity
c/s
@@ -3504,12 +2806,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 9: Older U.S. “survey” lengths (also called "statute" lengths)
-
-
+
+
+
+ Table 9: Older U.S. “survey” lengths (also called "statute" lengths)
+
+
foot
length
[ft_us]
@@ -3520,8 +2822,8 @@
Customary Unit Atoms
1200
m/3937
-
-
+
+
yard
length
[yd_us]
@@ -3532,8 +2834,8 @@
Customary Unit Atoms
3
[ft_us]
-
-
+
+
inch
length
[in_us]
@@ -3544,8 +2846,8 @@
Customary Unit Atoms
1
[ft_us]/12
-
-
+
+
rod
length
[rd_us]
@@ -3556,8 +2858,8 @@
Customary Unit Atoms
16.5
[ft_us]
-
-
+
+
Gunter's chain, Surveyor's chain
length
[ch_us]
@@ -3568,8 +2870,8 @@
Customary Unit Atoms
4
[rd_us]
-
-
+
+
link for Gunter's chain
length
[lk_us]
@@ -3580,8 +2882,8 @@
Customary Unit Atoms
1
[ch_us]/100
-
-
+
+
Ramden's chain, Engineer's chain
length
[rch_us]
@@ -3592,8 +2894,8 @@
Customary Unit Atoms
100
[ft_us]
-
-
+
+
link for Ramden's chain
length
[rlk_us]
@@ -3604,8 +2906,8 @@
Customary Unit Atoms
1
[rch_us]/100
-
-
+
+
fathom
length
[fth_us]
@@ -3616,8 +2918,8 @@
Customary Unit Atoms
6
[ft_us]
-
-
+
+
furlong
length
[fur_us]
@@ -3628,8 +2930,8 @@
Customary Unit Atoms
40
[rd_us]
-
-
+
+
mile
length
[mi_us]
@@ -3640,8 +2942,8 @@
Customary Unit Atoms
8
[fur_us]
-
-
+
+
acre
area
[acr_us]
@@ -3652,8 +2954,8 @@
Customary Unit Atoms
160
[rd_us]2
-
-
+
+
square rod
area
[srd_us]
@@ -3664,8 +2966,8 @@
Customary Unit Atoms
1
[rd_us]2
-
-
+
+
square mile
area
[smi_us]
@@ -3676,8 +2978,8 @@
Customary Unit Atoms
1
[mi_us]2
-
-
+
+
section
area
[sct]
@@ -3688,8 +2990,8 @@
Customary Unit Atoms
1
[mi_us]2
-
-
+
+
township
area
[twp]
@@ -3700,8 +3002,8 @@
Customary Unit Atoms
36
[sct]
-
-
+
+
mil
length
[mil_us]
@@ -3713,34 +3015,26 @@
Customary Unit Atoms
[in_us]
-
-
-
- After the 1959 international agreement changed the definition of the yard in the US to be 0.9144 m exactly, surveyors and
- civil engineers complained that volumnious legacy surveys and so forth used the previous definition of (1200/3937) m and that
- this change would be disruptive. So, by statute, Congress created a survey foot of (1200/3937) m (the old 1893 Mendenhall
- Order definition). Thus, by statute, miles used in surveying are referred to as statute miles of 5280 survey feet each. The
- fathom, rod, and furlong are likewise based on the survey foot.
-
-
-
- According to NIST, the acre as normally used in the U.S. is defined
- in terms of U.S. survey lengths, and not in terms of the
- international custormary system. This older U.S. customary system of
- survey lengths is still used for geodesic measurements.
-
-
-
§36 British Imperial lengths
-
- ■1Table
- 10 defines symbols for the older British Imperial lengths as of
- the British Weights and Measures Act of 1824.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
-
+
+
+
+ After the 1959 international agreement changed the definition of the yard in the US to be 0.9144 m exactly, surveyors and civil engineers complained that volumnious legacy surveys and so forth used the previous definition of (1200/3937) m and that this
+ change would be disruptive. So, by statute, Congress created a survey foot of (1200/3937) m (the old 1893 Mendenhall Order definition). Thus, by statute, miles used in surveying are referred to as statute miles of 5280 survey feet each. The fathom,
+ rod, and furlong are likewise based on the survey foot.
+
+
+
+ According to NIST, the acre as normally used in the U.S. is defined in terms of U.S. survey lengths, and not in terms of the international custormary system. This older U.S. customary system of survey lengths is still used for geodesic measurements.
+
+
+
§36 British Imperial lengths
+ ■1Table
+ 10 defines symbols for the older British Imperial lengths as of the British Weights and Measures Act of 1824.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+
name
kind of quantity
c/s
@@ -3748,12 +3042,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 10: British Imperial lengths
-
-
+
+
+
+ Table 10: British Imperial lengths
+
+
inch
length
[in_br]
@@ -3764,8 +3058,8 @@
Customary Unit Atoms
2.539998
cm
-
-
+
+
foot
length
[ft_br]
@@ -3776,8 +3070,8 @@
Customary Unit Atoms
12
[in_br]
-
-
+
+
rod
length
[rd_br]
@@ -3788,8 +3082,8 @@
Customary Unit Atoms
16.5
[ft_br]
-
-
+
+
Gunter's chain
length
[ch_br]
@@ -3800,8 +3094,8 @@
Customary Unit Atoms
4
[rd_br]
-
-
+
+
link for Gunter's chain
length
[lk_br]
@@ -3812,8 +3106,8 @@
Customary Unit Atoms
1
[ch_br]/100
-
-
+
+
fathom
length
[fth_br]
@@ -3824,8 +3118,8 @@
Customary Unit Atoms
6
[ft_br]
-
-
+
+
pace
length
[pc_br]
@@ -3836,8 +3130,8 @@
Customary Unit Atoms
2.5
[ft_br]
-
-
+
+
yard
length
[yd_br]
@@ -3848,8 +3142,8 @@
Customary Unit Atoms
3
[ft_br]
-
-
+
+
mile
length
[mi_br]
@@ -3860,8 +3154,8 @@
Customary Unit Atoms
5280
[ft_br]
-
-
+
+
nautical mile
length
[nmi_br]
@@ -3872,8 +3166,8 @@
Customary Unit Atoms
6080
[ft_br]
-
-
+
+
knot
velocity
[kn_br]
@@ -3884,8 +3178,8 @@
Customary Unit Atoms
1
[nmi_br]/h
-
-
+
+
acre
area
[acr_br]
@@ -3896,41 +3190,27 @@
Customary Unit Atoms
4840
[yd_br]2
-
-
-
- The older British Imperial system is predominantly of historical
- interest. However, it may be that some former members of the
- Commonwealth have retained this system after 1959, when the unified
- international definitions where established, and after 1963, when the
- British system was revised in England.
-
-
-
- The chain was proposed by Edmund Gunter in England of the 17th
- century. It is possible that Gunter's chain and Ramden's chain are
- related to other European traditional units such as the English
- “rope” (measuring 20 feet) or the old German
- “Landseil” (measuring 52 ells or 104 feet) named after
- ropes or chains that could be spanned in order to measure land. The
- difference in the definitions of those units is no surprise as there
- is nothing that restricts a chain or rope to a praticular
- length. However, these units are still similar in magnitude.
-
-
-
§37 U.S. volumes
-
- ■1
- The U.S. volumes, so called “capacity” measures, which
- are different for fluid goods (wine) and dry goods (grain), are
- defined in Table
- 11.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
-
+
+
+
+ The older British Imperial system is predominantly of historical interest. However, it may be that some former members of the Commonwealth have retained this system after 1959, when the unified international definitions where established, and after 1963,
+ when the British system was revised in England.
+
+
+
+ The chain was proposed by Edmund Gunter in England of the 17th century. It is possible that Gunter's chain and Ramden's chain are related to other European traditional units such as the English “rope” (measuring 20 feet) or the old German “Landseil” (measuring
+ 52 ells or 104 feet) named after ropes or chains that could be spanned in order to measure land. The difference in the definitions of those units is no surprise as there is nothing that restricts a chain or rope to a praticular length. However,
+ these units are still similar in magnitude.
+
+
+
§37 U.S. volumes
+ ■1 The U.S. volumes, so called “capacity” measures, which are different for fluid goods (wine) and dry goods (grain), are defined in Table
+ 11.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+
name
kind of quantity
c/s
@@ -3938,12 +3218,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 11: U.S. volumes including so called “dry measures”
-
-
+
+
+
+ Table 11: U.S. volumes including so called “dry measures”
+
+
Queen Anne's wine gallon
fluid volume
[gal_us]
@@ -3954,8 +3234,8 @@
Customary Unit Atoms
231
[in_i]3
-
-
+
+
barrel
fluid volume
[bbl_us]
@@ -3966,8 +3246,8 @@
Customary Unit Atoms
42
[gal_us]
-
-
+
+
quart
fluid volume
[qt_us]
@@ -3978,8 +3258,8 @@
Customary Unit Atoms
1
[gal_us]/4
-
-
+
+
pint
fluid volume
[pt_us]
@@ -3990,8 +3270,8 @@
Customary Unit Atoms
1
[qt_us]/2
-
-
+
+
gill
fluid volume
[gil_us]
@@ -4002,8 +3282,8 @@
Customary Unit Atoms
1
[pt_us]/4
-
-
+
+
fluid ounce
fluid volume
[foz_us]
@@ -4014,8 +3294,8 @@
Customary Unit Atoms
1
[gil_us]/4
-
-
+
+
fluid dram
fluid volume
[fdr_us]
@@ -4026,8 +3306,8 @@
Customary Unit Atoms
1
[foz_us]/8
-
-
+
+
minim
fluid volume
[min_us]
@@ -4038,8 +3318,8 @@
Customary Unit Atoms
1
[fdr_us]/60
-
-
+
+
cord
fluid volume
[crd_us]
@@ -4050,8 +3330,8 @@
Customary Unit Atoms
128
[ft_i]3
-
-
+
+
bushel
dry volume
[bu_us]
@@ -4062,8 +3342,8 @@
Customary Unit Atoms
2150.42
[in_i]3
-
-
+
+
historical winchester gallon
dry volume
[gal_wi]
@@ -4074,8 +3354,8 @@
Customary Unit Atoms
1
[bu_us]/8
-
-
+
+
peck
dry volume
[pk_us]
@@ -4086,8 +3366,8 @@
Customary Unit Atoms
1
[bu_us]/4
-
-
+
+
dry quart
dry volume
[dqt_us]
@@ -4098,8 +3378,8 @@
Customary Unit Atoms
1
[pk_us]/8
-
-
+
+
dry pint
dry volume
[dpt_us]
@@ -4110,8 +3390,8 @@
Customary Unit Atoms
1
[dqt_us]/2
-
-
+
+
tablespoon
volume
[tbs_us]
@@ -4122,8 +3402,8 @@
Customary Unit Atoms
1
[foz_us]/2
-
-
+
+
teaspoon
volume
[tsp_us]
@@ -4134,8 +3414,8 @@
Customary Unit Atoms
1
[tbs_us]/3
-
-
+
+
cup
volume
[cup_us]
@@ -4146,8 +3426,8 @@
Customary Unit Atoms
16
[tbs_us]
-
-
+
+
metric fluid ounce
fluid volume
[foz_m]
@@ -4158,8 +3438,8 @@
Customary Unit Atoms
30
mL
-
-
+
+
metric cup
volume
[cup_m]
@@ -4170,8 +3450,8 @@
Customary Unit Atoms
240
mL
-
-
+
+
metric teaspoon
volume
[tsp_m]
@@ -4182,8 +3462,8 @@
Customary Unit Atoms
5
mL
-
-
+
+
metric tablespoon
volume
[tbs_m]
@@ -4194,49 +3474,31 @@
Customary Unit Atoms
15
mL
-
-
-
- The U.S. fluid volumes have been defined based on Queen Anne's wine
- gallon which was in turn defined exactly as 231 cubic inch. Although
- we used international inch, we are not sure what inch definition is
- actually used for defining the exact size of a U.S. gallon. However,
- the differences between the various inches are minimal, even when
- raised to the 3rd power (i.e., the difference between the U.S. inch
- and the British Imperial inch remains in the sixth decimal digit.)
-
-
-
- Dry measures are based on the bushel (corn bushel), originally defined
- in 1701 as “any round measure with a plain and even bottom, being
- 18.5 inches wide throughout and 8 inches deep.” This definition,
- being (18.5/2)2 π × 8 = 2150.42017138221... cubic
- inch was later truncated to 2150.42 cubic inch exactly. At times the
- bushel was closely related with the Winchester gallon (corn gallon),
- which has been mentioned as an historical curiosity.
-
-
-
- ANSI X3.50 defines symbols for the units cup, tablespoon and teaspoon
- which are predominantly used in cooking recipies but also in practical
- medicine. Similar units can often be found in European cook books, but
- are usually translated into metric units outside the U.S. For
- practical medicine these are still very handy units to give
- instructions to patients.
-
-
-
§38 British Imperial volumes
-
- ■1
- British Imperial volumes according to the Weights and Measures Act of
- 1824 are defined in Table
- 12.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
-
+
+
+
+ The U.S. fluid volumes have been defined based on Queen Anne's wine gallon which was in turn defined exactly as 231 cubic inch. Although we used international inch, we are not sure what inch definition is actually used for defining the exact size of a
+ U.S. gallon. However, the differences between the various inches are minimal, even when raised to the 3rd power (i.e., the difference between the U.S. inch and the British Imperial inch remains in the sixth decimal digit.)
+
+
+
+ Dry measures are based on the bushel (corn bushel), originally defined in 1701 as “any round measure with a plain and even bottom, being 18.5 inches wide throughout and 8 inches deep.” This definition, being (18.5/2)2 π × 8 = 2150.42017138221...
+ cubic inch was later truncated to 2150.42 cubic inch exactly. At times the bushel was closely related with the Winchester gallon (corn gallon), which has been mentioned as an historical curiosity.
+
+
+
+ ANSI X3.50 defines symbols for the units cup, tablespoon and teaspoon which are predominantly used in cooking recipies but also in practical medicine. Similar units can often be found in European cook books, but are usually translated into metric
+ units outside the U.S. For practical medicine these are still very handy units to give instructions to patients.
+
+
+
§38 British Imperial volumes
+ ■1 British Imperial volumes according to the Weights and Measures Act of 1824 are defined in Table
+ 12.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+
name
kind of quantity
c/s
@@ -4244,12 +3506,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 12: British Imperial volumes
-
-
+
+
+
+ Table 12: British Imperial volumes
+
+
gallon
volume
[gal_br]
@@ -4260,8 +3522,8 @@
Customary Unit Atoms
4.54609
l
-
-
+
+
peck
volume
[pk_br]
@@ -4272,8 +3534,8 @@
Customary Unit Atoms
2
[gal_br]
-
-
+
+
bushel
volume
[bu_br]
@@ -4284,8 +3546,8 @@
Customary Unit Atoms
4
[pk_br]
-
-
+
+
quart
volume
[qt_br]
@@ -4296,8 +3558,8 @@
Customary Unit Atoms
1
[gal_br]/4
-
-
+
+
pint
volume
[pt_br]
@@ -4308,8 +3570,8 @@
Customary Unit Atoms
1
[qt_br]/2
-
-
+
+
gill
volume
[gil_br]
@@ -4320,8 +3582,8 @@
Customary Unit Atoms
1
[pt_br]/4
-
-
+
+
fluid ounce
volume
[foz_br]
@@ -4332,8 +3594,8 @@
Customary Unit Atoms
1
[gil_br]/5
-
-
+
+
fluid dram
volume
[fdr_br]
@@ -4344,8 +3606,8 @@
Customary Unit Atoms
1
[foz_br]/8
-
-
+
+
minim
volume
[min_br]
@@ -4356,58 +3618,36 @@
Customary Unit Atoms
1
[fdr_br]/60
-
-
-
- The British Weights and Measures Act of 1824 removed the medieval
- distiction between wine and grain measures and defined one unified
- system of volumes based on a new Gallon that was defined similarly as
- the metric unit liter: “10 imperial pounds weight of distilled
- water weighed in air against brass weights with the water and the air
- at a temperature of 62 degrees of Fahrenheit's thermometer and with
- the barometer at 30 inches.”
-
-
-
- With the current definition of the gallon as 277.421 cubic inches
- (approximately) and a density of water of 0.99878 kg/l according
- to NIST data, the inch must have been approximately 2.5371 cm at
- that time. Because of this difficulty with the original definition of
- the British gallon we based the British Imperial volumes on the gallon
- for which there is an exact metric equivalence, according to NIST,
- which provides usually well researched data.
-
-
-
- Note that the subdivisions of the British Imperial system of volumes
- differs from the U.S. system of fluid volumes between gill and fluid
- ounce: in the British system 1 oz fl equals 1/5 gill where
- in the U.S. system 1 oz fl equals 1/4 gill. Thus, although
- the british system starts out with a 20% larger gallon, the British
- fluid ounce, fluid dram and minim are 4% smaller than the U.S. units
- with the same name.
-
-
-
§39 avoirdupois weights
-
- ■1
- The avoirdupois system of mass units is defined in Table
- 13.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
- The avoirdupois system is used in the U.S. as well as in coutries that
- use the British Imperial system. Avoirdupois is the default system of
- mass units used for all goods that “have weight”
- (fr. avoir du poids). Interestingly all three systems of
- weight are based on the same grain of barley, standardized to
- 64.79891 mg exactly [NIST].
-
-
-
-
+
+
+
+ The British Weights and Measures Act of 1824 removed the medieval distiction between wine and grain measures and defined one unified system of volumes based on a new Gallon that was defined similarly as the metric unit liter: “10 imperial pounds weight
+ of distilled water weighed in air against brass weights with the water and the air at a temperature of 62 degrees of Fahrenheit's thermometer and with the barometer at 30 inches.”
+
+
+
+ With the current definition of the gallon as 277.421 cubic inches (approximately) and a density of water of 0.99878 kg/l according to NIST data, the inch must have been approximately 2.5371 cm at that time. Because of this difficulty with the
+ original definition of the British gallon we based the British Imperial volumes on the gallon for which there is an exact metric equivalence, according to NIST, which provides usually well researched data.
+
+
+
+ Note that the subdivisions of the British Imperial system of volumes differs from the U.S. system of fluid volumes between gill and fluid ounce: in the British system 1 oz fl equals 1/5 gill where in the U.S. system 1 oz fl equals
+ 1/4 gill. Thus, although the british system starts out with a 20% larger gallon, the British fluid ounce, fluid dram and minim are 4% smaller than the U.S. units with the same name.
+
+
+
§39 avoirdupois weights
+ ■1 The avoirdupois system of mass units is defined in Table
+ 13.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+ The avoirdupois system is used in the U.S. as well as in coutries that use the British Imperial system. Avoirdupois is the default system of mass units used for all goods that “have weight” (fr. avoir du poids). Interestingly all three
+ systems of weight are based on the same grain of barley, standardized to 64.79891 mg exactly [NIST].
+
+
+
+
name
kind of quantity
c/s
@@ -4415,12 +3655,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 13: Avoirdupois weights
-
-
+
+
+
+ Table 13: Avoirdupois weights
+
+
grain
mass
[gr]
@@ -4431,8 +3671,8 @@
Customary Unit Atoms
64.79891
mg
-
-
+
+
pound
mass
[lb_av]
@@ -4443,8 +3683,8 @@
Customary Unit Atoms
7000
[gr]
-
-
+
+
ounce
mass
[oz_av]
@@ -4455,8 +3695,8 @@
Customary Unit Atoms
1
[lb_av]/16
-
-
+
+
dram
mass
[dr_av]
@@ -4467,8 +3707,8 @@
Customary Unit Atoms
1
[oz_av]/16
-
-
+
+
short hundredweight, U.S. hundredweight
mass
[scwt_av]
@@ -4479,8 +3719,8 @@
Customary Unit Atoms
100
[lb_av]
-
-
+
+
long hunderdweight, British hundredweight
mass
[lcwt_av]
@@ -4491,8 +3731,8 @@
Customary Unit Atoms
112
[lb_av]
-
-
+
+
short ton, U.S. ton
mass
[ston_av]
@@ -4503,8 +3743,8 @@
Customary Unit Atoms
20
[scwt_av]
-
-
+
+
long ton, British ton
mass
[lton_av]
@@ -4515,8 +3755,8 @@
Customary Unit Atoms
20
[lcwt_av]
-
-
+
+
stone, British stone
mass
[stone_av]
@@ -4527,44 +3767,29 @@
Customary Unit Atoms
14
[lb_av]
-
-
-
§40 troy weights
-
- ■1
- The troy system of mass units is defined in Table
- 14.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
- The troy system originates in Troyes, a City in the Champagne (France)
- that hosted a major European fair. The troy system was later used for
- measuring precious metals. The World Monetary Fund valued all
- currencies against the troy ounce of gold at least until the 1960s
- (advice appreciated). The troy ounce is still used in worldwide trade
- with gold, even in countries that otherwise use metric units
- (de. “feinunze”). The troy system retains the original Roman
- subdivision of the pound in 12 ounces. The Roman uncia was “one
- twelfth” of a libra (hence the symbol “lb” for the pound),
- just as the inch (also originating from la. “libra” is one twelfth
- of a foot. The subdivision of 12 ounces/inches per pound/foot and 2
- foot per ell (la. “cubit” apparently originated in the ancient
- Egypt and was carried on by the Greeks and Romans into the medieval
- Europe. However, there was always an ambiguity such that the
- subdivision of 1/12 could become 1/16 and vice versa, hence the
- avoirdupois ounce of 1/16 pound.
-
-
-
- Note also that the troy pound was abolished in England on January 6,
- 1879 [Jacques J. Proot, Anglo-Saxon weights & measures, URL:
- http://members.aol.com/JackProot/met/spvolas.html].
-
-
-
-
+
+
+
§40 troy weights
+ ■1 The troy system of mass units is defined in Table
+ 14.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+ The troy system originates in Troyes, a City in the Champagne (France) that hosted a major European fair. The troy system was later used for measuring precious metals. The World Monetary Fund valued all currencies against the troy ounce of gold at least
+ until the 1960s (advice appreciated). The troy ounce is still used in worldwide trade with gold, even in countries that otherwise use metric units (de. “feinunze”). The troy system retains the original Roman subdivision of the pound in 12 ounces.
+ The Roman uncia was “one twelfth” of a libra (hence the symbol “lb” for the pound), just as the inch (also originating from la. “libra” is one twelfth of a foot. The subdivision of 12 ounces/inches per pound/foot and
+ 2 foot per ell (la. “cubit” apparently originated in the ancient Egypt and was carried on by the Greeks and Romans into the medieval Europe. However, there was always an ambiguity such that the subdivision of 1/12 could become 1/16 and vice versa,
+ hence the avoirdupois ounce of 1/16 pound.
+
+
+
+ Note also that the troy pound was abolished in England on January 6, 1879 [Jacques J. Proot, Anglo-Saxon weights & measures, URL:
+ http://members.aol.com/JackProot/met/spvolas.html].
+
+
+
+
name
kind of quantity
c/s
@@ -4572,12 +3797,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 14: Troy weights
-
-
+
+
+
+ Table 14: Troy weights
+
+
pennyweight
mass
[pwt_tr]
@@ -4588,8 +3813,8 @@
Customary Unit Atoms
24
[gr]
-
-
+
+
ounce
mass
[oz_tr]
@@ -4600,8 +3825,8 @@
Customary Unit Atoms
20
[pwt_tr]
-
-
+
+
pound
mass
[lb_tr]
@@ -4612,19 +3837,16 @@
Customary Unit Atoms
12
[oz_tr]
-
-
-
§41 apothecaries' weights.
-
- ■1
- The apothecaries' system of mass units is defined in Table
- 15.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
-
+
+
+
§41 apothecaries' weights.
+ ■1 The apothecaries' system of mass units is defined in Table
+ 15.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+
name
kind of quantity
c/s
@@ -4632,12 +3854,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 15: Apothecaries' weights
-
-
+
+
+
+ Table 15: Apothecaries' weights
+
+
scruple
mass
[sc_ap]
@@ -4648,8 +3870,8 @@
Customary Unit Atoms
20
[gr]
-
-
+
+
dram, drachm
mass
[dr_ap]
@@ -4660,8 +3882,8 @@
Customary Unit Atoms
3
[sc_ap]
-
-
+
+
ounce
mass
[oz_ap]
@@ -4672,8 +3894,8 @@
Customary Unit Atoms
8
[dr_ap]
-
-
+
+
pound
mass
[lb_ap]
@@ -4684,8 +3906,8 @@
Customary Unit Atoms
12
[oz_ap]
-
-
+
+
metric ounce
mass
[oz_m]
@@ -4696,36 +3918,23 @@
Customary Unit Atoms
28
g
-
-
-
- Note that some U.S. pharmacies still use this system of apothecaries'
- weights when measuring the amount of drugs. This system is very
- different from the avoirdupois system though based on the same
- grain. The apothecaries' dram is more than twice as much as the
- avoirdupois dram, the ounce is still 10% greater than the avoirdupois
- ounce while the pound is 20% less than the avoirdupois pound. The
- apothecaries' system, just as the troy system, keeps the original
- Roman subdivision of an ounce (la. “uncia” to be 1/12 pound
- (la. “libra”). Hence is the apothecaries' pound about 22% smaller
- than the avoirdupois pound, while its subdivisions are greater than
- the respective avoirdupois subdivisions (ounce 10%, dram 119%). This
- difference in the weight systems is the most important reason why
- ANSI X3.50 should not be applied in medicine, where both systems are
- being used and therefore misinterpreations are inevitable.
-
-
-
§42 typesetter's lengths
-
- ■1
- The units of length as used in typesetting are defined in Table
- 16.
- ■2
- The meaning of the columns is declared in §34.
-
-
-
-
+
+
+
+ Note that some U.S. pharmacies still use this system of apothecaries' weights when measuring the amount of drugs. This system is very different from the avoirdupois system though based on the same grain. The apothecaries' dram is more than twice as much
+ as the avoirdupois dram, the ounce is still 10% greater than the avoirdupois ounce while the pound is 20% less than the avoirdupois pound. The apothecaries' system, just as the troy system, keeps the original Roman subdivision of an ounce (la.
+ “uncia” to be 1/12 pound (la. “libra”). Hence is the apothecaries' pound about 22% smaller than the avoirdupois pound, while its subdivisions are greater than the respective avoirdupois subdivisions (ounce 10%, dram 119%). This difference in the
+ weight systems is the most important reason why ANSI X3.50 should not be applied in medicine, where both systems are being used and therefore misinterpreations are inevitable.
+
+
+
§42 typesetter's lengths
+ ■1 The units of length as used in typesetting are defined in Table
+ 16.
+ ■2 The meaning of the columns is declared in §34.
+
+
+
+
name
kind of quantity
c/s
@@ -4733,12 +3942,12 @@
Customary Unit Atoms
M
definition value
definition unit
-
-
- Table
- 16: Units used in typesetting
-
-
+
+
+
+ Table 16: Units used in typesetting
+
+
line
length
[lne]
@@ -4749,8 +3958,8 @@
Customary Unit Atoms
1
[in_i]/12
-
-
+
+
point
length
[pnt]
@@ -4761,8 +3970,8 @@
Customary Unit Atoms
1
[lne]/6
-
-
+
+
pica
length
[pca]
@@ -4773,8 +3982,8 @@
Customary Unit Atoms
12
[pnt]
-
-
+
+
Printer's point
length
[pnt_pr]
@@ -4785,8 +3994,8 @@
Customary Unit Atoms
0.013837
[in_i]
-
-
+
+
Printer's pica
length
[pca_pr]
@@ -4797,8 +4006,8 @@
Customary Unit Atoms
12
[pnt_pr]
-
-
+
+
pied, French foot
length
[pied]
@@ -4809,8 +4018,8 @@
Customary Unit Atoms
32.48
cm
-
-
+
+
pouce, French inch
length
[pouce]
@@ -4821,8 +4030,8 @@
Customary Unit Atoms
1
[pied]/12
-
-
+
+
ligne, French line
length
[ligne]
@@ -4833,8 +4042,8 @@
Customary Unit Atoms
1
[pouce]/12
-
-
+
+
didot, Didot's point
length
[didot]
@@ -4845,8 +4054,8 @@
Customary Unit Atoms
1
[ligne]/6
-
-
+
+
cicero, Didot's pica
length
[cicero]
@@ -4857,67 +4066,42 @@
Customary Unit Atoms
12
[didot]
-
-
-
- There are three systems of typesetter's lengths in use today:
- Françcois-Ambroise Didot (1730-1804), a publisher in Paris,
- invented this system based on the traditional subdivisions of the
- customary units: 1 line was 1/12 inch and 1/6 line was one
- point. Henceforth the size of letters were measured in point. However,
- the Didot system is based on the pouce, i.e. the french
- inch, which, just as the English inch, is 1/12 pied
- (foot). But the French foot was about 6.5% greater than the British
- Imperial foot. In the Anglo-American realm the typesetter's point was
- based on the British Imperial inch, with the same
- subdivisions. However, in the type foundries' industry the original
- definition of a point drifted apart, and in the late 19th century
- U.S. type foundries reestablished a slightly (0.375%) greater standard
- point. This point made its way back to the British. However, recently,
- the computer typesetting industry readjusted the point to its original
- size of 1/72 inch. All three systems, however, are still being used
- today.
-
-
-
-
+
+
+
+ There are three systems of typesetter's lengths in use today: Françcois-Ambroise Didot (1730-1804), a publisher in Paris, invented this system based on the traditional subdivisions of the customary units: 1 line was 1/12 inch and 1/6 line was one point.
+ Henceforth the size of letters were measured in point. However, the Didot system is based on the pouce, i.e. the french inch, which, just as the English inch, is 1/12 pied (foot). But the French foot was about 6.5% greater
+ than the British Imperial foot. In the Anglo-American realm the typesetter's point was based on the British Imperial inch, with the same subdivisions. However, in the type foundries' industry the original definition of a point drifted apart, and
+ in the late 19th century U.S. type foundries reestablished a slightly (0.375%) greater standard point. This point made its way back to the British. However, recently, the computer typesetting industry readjusted the point to its original size
+ of 1/72 inch. All three systems, however, are still being used today.
+
+
+
+
-
4.5
-
+
+ 4.5
+
-
Other Legacy Units
-
-
-
-
§43 legacy units for heat and temperature
-
- ■1
- Older units of heat (energy) and temperature are defined in Table
- 17.
- ■2
- The meaning of the columns is declared in §30.2.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are either not standardized or
- standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
- ■4
- The function pair denoted “degf(5 K/9)” is
- defined as fF(x) = 9/5 x - 459.67 to convert
- from kelvin to degree Fahrenheit, and
- fF-1(x) = 5/9 (x + 459.67) to
- convert from degree Fahrenheit back to kelvin.
- ■5
- The function pair denoted “degre(5 K/4)” is
- defined as fRé(x) = 4/5 x - 218.52 to convert
- from kelvin to degree Réaumur, and
- fRé-1(x) = 5/4 (x + 218.52) to
- convert from degree Réaumur back to kelvin.
-
-
-
-
+
Other Legacy Units
+
+
+
+
§43 legacy units for heat and temperature
+ ■1 Older units of heat (energy) and temperature are defined in Table
+ 17.
+ ■2 The meaning of the columns is declared in §30.2.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are either not standardized or standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
+
+ ■4 The function pair denoted “degf(5 K/9)” is defined as fF(x) = 9/5 x - 459.67 to convert from kelvin to degree Fahrenheit, and
+ fF-1(x) = 5/9 (x + 459.67) to convert from degree Fahrenheit back to kelvin.
+ ■5 The function pair denoted “degre(5 K/4)” is defined as fRé(x) = 4/5 x - 218.52 to convert from kelvin to degree Réaumur, and
+ fRé-1(x) = 5/4 (x + 218.52) to convert from degree Réaumur back to kelvin.
+
+
+
+
name
kind of quantity
print
@@ -4926,12 +4110,12 @@
Other Legacy Units
M
definition value
definition unit
-
-
- Table
- 17: Other Units for Heat and Temperature
-
-
+
+
+
+ Table 17: Other Units for Heat and Temperature
+
+
degree Fahrenheit
temperature
°F
@@ -4943,8 +4127,8 @@
Other Legacy Units
•
degf(5 K/9)
-
-
+
+
degree Rankine
temperature
°R
@@ -4956,8 +4140,8 @@
Other Legacy Units
5
K/9
-
-
+
+
degree Réaumur
temperature
°Ré
@@ -4969,8 +4153,8 @@
Other Legacy Units
•
degre(5 K/4)
-
-
+
+
calorie at 15 °C
energy
cal15°C
@@ -4983,8 +4167,8 @@
Other Legacy Units
4.18580
J
-
-
+
+
calorie at 20 °C
energy
cal20°C
@@ -4997,8 +4181,8 @@
Other Legacy Units
4.18190
J
-
-
+
+
mean calorie
energy
calm
@@ -5011,8 +4195,8 @@
Other Legacy Units
4.19002
J
-
-
+
+
international table calorie
energy
calIT
@@ -5025,8 +4209,8 @@
Other Legacy Units
4.1868
J
-
-
+
+
thermochemical calorie
energy
calth
@@ -5039,8 +4223,8 @@
Other Legacy Units
4.184
J
-
-
+
+
calorie
energy
cal
@@ -5052,8 +4236,8 @@
Other Legacy Units
1
cal_th
-
-
+
+
nutrition label Calories
energy
Cal
@@ -5065,8 +4249,8 @@
Other Legacy Units
1
kcal_th
-
-
+
+
British thermal unit at 39 °F
energy
Btu39°F
@@ -5079,8 +4263,8 @@
Other Legacy Units
1.05967
kJ
-
-
+
+
British thermal unit at 59 °F
energy
Btu59°F
@@ -5093,8 +4277,8 @@
Other Legacy Units
1.05480
kJ
-
-
+
+
British thermal unit at 60 °F
energy
Btu60°F
@@ -5107,8 +4291,8 @@
Other Legacy Units
1.05468
kJ
-
-
+
+
mean British thermal unit
energy
Btum
@@ -5121,8 +4305,8 @@
Other Legacy Units
1.05587
kJ
-
-
+
+
international table British thermal unit
energy
BtuIT
@@ -5135,8 +4319,8 @@
Other Legacy Units
1.05505585262
kJ
-
-
+
+
thermochemical British thermal unit
energy
Btuth
@@ -5149,8 +4333,8 @@
Other Legacy Units
1.054350
kJ
-
-
+
+
British thermal unit
energy
btu
@@ -5162,8 +4346,8 @@
Other Legacy Units
1
[Btu_th]
-
-
+
+
horsepower
power
@@ -5175,8 +4359,8 @@
Other Legacy Units
550
[ft_i].[lbf_av]/s
-
-
+
+
tex
linear mass density (of textile thread)
tex
@@ -5188,8 +4372,8 @@
Other Legacy Units
1
g/km
-
-
+
+
Denier
linear mass density (of textile thread)
den
@@ -5201,114 +4385,64 @@
Other Legacy Units
1
g/9/km
-
-
-
- The degree Fahrenheit was missing in ANSI X3.50. HL7's
- “ISO+/ANS+” code defined the degree Fahrenheit under the
- symbol “DEGF” which is reflected here. This
- is the reason why The Unified Code for Units of Measure does not define a new symbol
- “Fah” similar to
- “Cel” of
- ISO 2955 for the degree Celsius.
-
-
-
- Defining precise semantics for legacy units for “quantity of
- heat” is difficult. The many variants of these units are
- frequently confused because there is not just a calorie and not just a
- british thermal unit. The different calories usually being used vary
- by 1% but the confusion can result in an error as high as 100000%!
- Thus, if exactness and non-ambiguity is important one should use the
- joule to report amounts of heat, just like for any other energy and
- work kind-of-quantities.
-
-
-
- The gram-calorie, sometimes called “small calorie” is
- defined as the amount of heat required to raise the temperature of 1
- gram of Water from 14.5 °C to 15.5 °C. According to
- Encyclopedia Britannica, this is the calorie most often used in
- engineering. There is also a less frequently used gram-calorie at
- 19.5 °C to 20.5 °C and a mean calorie that is 1/100
- of the amount of heat required to raise the temperature from
- 0 °C to 100 °C. The International Table
- calorie is defined by the International Conference on the
- Properties of Steam (1956) and is used in steam engineering. In
- chemistry a “thermochemical” calorie is used for reaction
- enthalpies.
-
-
-
- To complete the confusion, there is also a kilogram-calorie (“large
- calorie” , that has a similar definition based on a kilogram
- instead of a gram of water. This kilocalorie has also been called
- “calorie” in the sloppy speech of everyday life about
- food. U.S. “Nutrition Facts” that label almost every
- American food say “Calories: xxx” The International
- Union of Nutritional Sciences recommends using either the joule
- or a kilocalorie based on the thermochemical calorie. Because of a
- perceived popular demand The Unified Code for Units of Measure defines the nutrition Calorie as
- “Cal” with the conventional captital first
- letter. For the case insensitive variant of The Unified Code for Units of Measure, the symbol is
- enclosed in square brackets (“[CAL]”).
-
-
-
- Only the International Table calorie and the thermochemical calorie
- have exact definitions. To give some guidance in the confusing plenty
- of different calories, The Unified Code for Units of Measure defines a default symbol
- “cal” as an alias for the thermochemical
- calorie, because the calorie is mostly used today in medicine and
- biochemistry. On the other hand, we consider engineers smart enough to
- select the precise calorie they mean.
-
-
-
- Similar to the calories, various “British Thermal Unit”
- (Btu) are defined and the confusion continues. One Btu is defined as
- the amount of heat necessary to raise the temperature of one
- avoirdupois pound of water by one degree Fahrenheit beginning from
- various temperatures (39 °F, 59 °F, or
- 60 °F). There is also the International Table Btu and the
- thermochemical Btu. Just as with the calorie we define a default
- symbol “Btu” as an alias for the
- thermochemical Btu.
-
-
-
§44 units used predominantly in clinical medicine
-
- ■1
- Units used mainly in clinical medicine are defined in Table
- 18.
- ■2
- The meaning of the columns is declared in §34.
- ■3
- The function pair denoted “hpX(1 l)” is
- defined as fhp X(x) = - lg x to
- convert from a number fraction (dillution) per liter to the
- homeopathic potency value of the decimal (X) series, and fhp
- X-1(x) = 10-x to convert
- from the potency value back to the number fraction. Likewise, the
- function pair denoted “hpC(1 l)” is defined
- as fhp C(x) = - ln(x) / ln(100)
- to convert from a number fraction (dillution) per liter to the
- homeopathic potency value of the centesimal (C) series, and fhp
- C-1(x) = 100-x to convert
- from the potency value back to the number fraction. Aanalogous
- functions are defined for the millesimal (M) series with basis 1,000
- and the series and the quintamillesimal (Q) series with basis 50,000.
- ■4
- The function pair denoted “100tan(1 rad)” is
- defined as fPD(α) = tan(α) * 100 to
- convert from a plane angle α to a prism diopter value (or a
- slope percent value) and
- fPD-1(x) = arctan(x / 100) to
- convert from prism diopter (or slope percent) value x back to a plane angle.
-
-
-
-
+
+
+
+ The degree Fahrenheit was missing in ANSI X3.50. HL7's “ISO+/ANS+” code defined the degree Fahrenheit under the symbol “DEGF” which is reflected here. This is the reason why The Unified Code for Units of Measure does
+ not define a new symbol “
+ Fah” similar to “
+ Cel” of ISO 2955 for the degree Celsius.
+
+
+
+ Defining precise semantics for legacy units for “quantity of heat” is difficult. The many variants of these units are frequently confused because there is not just a calorie and not just a british thermal unit. The different calories usually being used
+ vary by 1% but the confusion can result in an error as high as 100000%! Thus, if exactness and non-ambiguity is important one should use the joule to report amounts of heat, just like for any other energy and work kind-of-quantities.
+
+
+
+ The gram-calorie, sometimes called “small calorie” is defined as the amount of heat required to raise the temperature of 1 gram of Water from 14.5 °C to 15.5 °C. According to
+ Encyclopedia Britannica, this is the calorie most often used in engineering. There is also a less frequently used gram-calorie at 19.5 °C to 20.5 °C and a mean calorie that is 1/100 of the amount of heat required to raise the
+ temperature from 0 °C to 100 °C. The International Table calorie is defined by the International Conference on the
+ Properties of Steam (1956) and is used in steam engineering. In chemistry a “thermochemical” calorie is used for reaction enthalpies.
+
+
+
+ To complete the confusion, there is also a kilogram-calorie (“large calorie” , that has a similar definition based on a kilogram instead of a gram of water. This kilocalorie has also been called “calorie” in the sloppy speech of everyday life about food.
+ U.S. “Nutrition Facts” that label almost every American food say “Calories: xxx” The International
+ Union of Nutritional Sciences recommends using either the joule or a kilocalorie based on the thermochemical calorie. Because of a perceived popular demand The Unified Code for Units of Measure defines the nutrition Calorie as
+ “
+ Cal” with the conventional captital first letter. For the case insensitive variant of The Unified Code for Units of Measure, the symbol is enclosed in square brackets (“[CAL]”).
+
+
+
+ Only the International Table calorie and the thermochemical calorie have exact definitions. To give some guidance in the confusing plenty of different calories, The Unified Code for Units of Measure defines a default symbol “
+ cal” as an alias for the thermochemical calorie, because the calorie is mostly used today in medicine and biochemistry. On the other hand, we consider engineers smart enough to select the precise calorie they mean.
+
+
+
+ Similar to the calories, various “British Thermal Unit” (Btu) are defined and the confusion continues. One Btu is defined as the amount of heat necessary to raise the temperature of one avoirdupois pound of water by one degree Fahrenheit beginning from
+ various temperatures (39 °F, 59 °F, or 60 °F). There is also the International Table Btu and the thermochemical Btu. Just as with the calorie we define a default symbol “Btu” as an alias for the thermochemical
+ Btu.
+
+
+
§44 units used predominantly in clinical medicine
+ ■1 Units used mainly in clinical medicine are defined in Table
+ 18.
+ ■2 The meaning of the columns is declared in §34.
+ ■3 The function pair denoted “hpX(1 l)” is defined as fhp X(x) = - lg x to convert from a number fraction (dillution) per liter to the homeopathic potency value
+ of the decimal (X) series, and fhp
+ X-1(x) = 10-x to convert from the potency value back to the number fraction. Likewise, the function pair denoted “hpC(1 l)” is defined as fhp C(x) = -
+ ln(
+ x) / ln(100) to convert from a number fraction (dillution) per liter to the homeopathic potency value of the centesimal (C) series, and fhp
+ C-1(x) = 100-x to convert from the potency value back to the number fraction. Aanalogous functions are defined for the millesimal (M) series with basis 1,000 and the series and the quintamillesimal
+ (Q) series with basis 50,000.
+ ■4 The function pair denoted “100tan(1 rad)” is defined as fPD(α) = tan(α) * 100 to convert from a plane angle α to a prism diopter value (or a slope
+ percent value) and
+ fPD-1(x) = arctan(x / 100) to convert from prism diopter (or slope percent) value x back to a plane angle.
+
+
+
+
name
kind of quantity
print
@@ -5317,12 +4451,12 @@
Other Legacy Units
M
definition value
definition unit
-
-
- Table
- 18: Units Used Predominantly in Clinical Medicine
-
-
+
+
+
+ Table 18: Units Used Predominantly in Clinical Medicine
+
+
meter of water column
pressure
m H2O
@@ -5335,8 +4469,8 @@
Other Legacy Units
9.80665
kPa
-
-
+
+
meter of mercury column
pressure
m Hg
@@ -5348,8 +4482,8 @@
Other Legacy Units
133.3220
kPa
-
-
+
+
inch of water column
pressure
in H2O
@@ -5362,8 +4496,8 @@
Other Legacy Units
1
m[H2O].[in_i]/m
-
-
+
+
inch of mercury column
pressure
in Hg
@@ -5375,8 +4509,8 @@
Other Legacy Units
1
m[Hg].[in_i]/m
-
-
+
+
peripheral vascular resistance unit
fluid resistance
P.R.U.
@@ -5388,8 +4522,8 @@
Other Legacy Units
1
mm[Hg].s/ml
-
-
+
+
Wood unit
fluid resistance
Wood U.
@@ -5401,8 +4535,8 @@
Other Legacy Units
1
mm[Hg].min/L
-
-
+
+
diopter
refraction of a lens
dpt
@@ -5414,8 +4548,8 @@
Other Legacy Units
1
/m
-
-
+
+
prism diopter
refraction of a prism
PD
@@ -5427,8 +4561,8 @@
Other Legacy Units
•
100tan(1 rad)
-
-
+
+
percent of slope
slope
%
@@ -5440,8 +4574,8 @@
Other Legacy Units
•
100tan(1 rad)
-
-
+
+
mesh
lineic number
@@ -5453,8 +4587,8 @@
Other Legacy Units
1
/[in_i]
-
-
+
+
Charrière, french
gauge of catheters
Ch
@@ -5466,8 +4600,8 @@
Other Legacy Units
1
mm/3
-
-
+
+
drop
volume
drp
@@ -5479,8 +4613,8 @@
Other Legacy Units
1
ml/20
-
-
+
+
Hounsfield unit
x-ray attenuation
HF
@@ -5492,8 +4626,8 @@
Other Legacy Units
1
1
-
-
+
+
metabolic equivalent
metabolic cost of physical activity
MET
@@ -5505,8 +4639,8 @@
Other Legacy Units
3.5
mL/min/kg
-
-
+
+
homeopathic potency of decimal series (retired)
homeopathic potency (retired)
X
@@ -5518,8 +4652,8 @@
Other Legacy Units
•
hpX(1 1)
-
-
+
+
homeopathic potency of centesimal series (retired)
homeopathic potency (retired)
C
@@ -5531,8 +4665,8 @@
Other Legacy Units
•
hpC(1 1)
-
-
+
+
homeopathic potency of millesimal series (retired)
homeopathic potency (retired)
M
@@ -5544,8 +4678,8 @@
Other Legacy Units
•
hpM(1 1)
-
-
+
+
homeopathic potency of quintamillesimal series (retired)
homeopathic potency (retired)
Q
@@ -5557,8 +4691,8 @@
Other Legacy Units
•
hpQ(1 1)
-
-
+
+
homeopathic potency of decimal hahnemannian series
homeopathic potency (Hahnemann)
X
@@ -5569,8 +4703,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of centesimal hahnemannian series
homeopathic potency (Hahnemann)
C
@@ -5581,8 +4715,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of millesimal hahnemannian series
homeopathic potency (Hahnemann)
M
@@ -5593,8 +4727,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of quintamillesimal hahnemannian series
homeopathic potency (Hahnemann)
Q
@@ -5605,8 +4739,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of decimal korsakovian series
homeopathic potency (Korsakov)
X
@@ -5617,8 +4751,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of centesimal korsakovian series
homeopathic potency (Korsakov)
C
@@ -5629,8 +4763,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of millesimal korsakovian series
homeopathic potency (Korsakov)
M
@@ -5641,8 +4775,8 @@
Other Legacy Units
no
•
•
-
-
+
+
homeopathic potency of quintamillesimal korsakovian series
homeopathic potency (Korsakov)
Q
@@ -5653,119 +4787,67 @@
Other Legacy Units
no
•
•
-
-
-
- Clinical medicine all over the world still uses mm Hg to
- measure arterial blood pressure, and often the instruments used are
- real mercury columns. Likewise, the central venous blood pressure is
- often measured using simple water columns which is very practical for
- the routine. The units m H2O and m Hg
- are metric units even though they are “not accepted” for
- use with the SI for quite a while. Although more and more hospitals in
- Europe switch to using the pascal to measure partial pressures in
- blood gas analysis, the older units will not vanish any time soon.
-
-
-
- In the U.S. the inch is sometimes used instead of the millimeter, and
- because the inch is non-metric the inch of mercury or water columns is
- non-metric as well.
-
-
-
- The peripheral vascular resistance unit is the vascular resistance on
- which a perfusion pressure of 1 mm Hg causes a flow of
- 1 ml/s.
-
-
-
- The “mesh” occurs in the NIST Guide to the SI. It seems like it is
- the customary counterpart of the diopter.
-
-
-
- The unit “charrière” originates from a French manufacturer of
- medical instruments by that name. One charrière is the gauge of a
- catheter with a circumference of approximately 1 mm
- such that it is by convention exactly one third of a millimeter.
- In the U.S. the charrière is simply called “french”
-
-
-
NOTE:
- Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as 1/π, this use,
- however this was never common use of the unit.
- This is why the definition has been corrected instead of adding another one.
-
-
-
- A drop is a variable amount of fluid and depends on the device and
- technique used to produce the drop and on the physical properties of
- the fluid. This is similar to units like cup, tablespoon, and teaspoon
- that depend on the spoon or cup and are not exact either. However, in
- clinical medicine medication is dispensed by drops and unlike a
- “tablet” a drop refers to a real physical kind of quantity, volume,
- though not very exact.
-
-
-
NOTE:
- Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as mL/12, this use,
- however this was not common use of the unit.
- This is why the definition has been corrected instead of adding another one.
- Typically it is stated as mL/20.
- Original research using a 20 mL syringe filled to 5 mL shows that
- 1 mL has 25 drops of water,
- when tensides are added, the number goes up to 45.
- A saturated saline solution required 30 and plant oil 35.
- The speed of dropping, pressure and position of the syringe or the lumen of the outlet,
- open or partially clogged with wax,
- did not have a significant influence on the number of drops.
- While the original research suggests that the division should be by 25 or more, we use the common notion.
- It is discouraged to use the drop as any standard unit.
-
-
-
- The Hounsfield unit is a unit of X-ray attenuation used in evaluating
- CT scans. It is defined on an interval scale where air is -1000 HF,
- water is 0 HF and bone is +1000 HF. Any advice as to how this unit can
- be related to metric units of radiant intensity decremence is
- appreciated.
-
-
-
- We have always pointed out that the homeopathic teaching takes potency
- not as equivalent to dillution and the C and X series would not equate
- to each other in the strictly numerical manner. Homeopathic potency
- includes the “agitation” (a vigorous shaking) that needs
- to occur in every step of the dilluting process. Therefore as of April 2010,
- the hoemeopathic units are declared "arbitrary units", that is, they
- are no longer convertible. Therefore, also, we discontinue defining them
- using the dillution functions. The dillution functions sometimes cause
- truly astronomical values, leading to overflow conditions, e.g. in
- such potencies as 30 C or 100 X or 10 M, which do actually occur in
- hoemeopathics that are on the market. The previous units continue to
- exist as "retired", but their symbols now have a prime (apostrophe) in
- them.
-
-
-
§45 chemical and biochemical units
-
- ■1
- Units used mainly in chemical and biochemical laboratories are defined
- in Table
- 19.
- ■2
- The meaning of the columns is declared in §43.
- ■3
- The function pair denoted “ph(1 mol/l)” is
- defined as fpH(x) = - lg x to
- convert from moles per liter to the pH value, and
- fpH-1(x) = 10-x
- to convert from the pH value back to moles per liter.
-
-
-
-
+
+
+
+ Clinical medicine all over the world still uses mm Hg to measure arterial blood pressure, and often the instruments used are real mercury columns. Likewise, the central venous blood pressure is often measured using simple water columns which
+ is very practical for the routine. The units m H2O and m Hg are metric units even though they are “not accepted” for use with the SI for quite a while. Although more and more hospitals in Europe switch
+ to using the pascal to measure partial pressures in blood gas analysis, the older units will not vanish any time soon.
+
+
+
+ In the U.S. the inch is sometimes used instead of the millimeter, and because the inch is non-metric the inch of mercury or water columns is non-metric as well.
+
+
+
+ The peripheral vascular resistance unit is the vascular resistance on which a perfusion pressure of 1 mm Hg causes a flow of 1 ml/s.
+
+
+
+ The “mesh” occurs in the NIST Guide to the SI. It seems like it is the customary counterpart of the diopter.
+
+
+
+ The unit “charrière” originates from a French manufacturer of medical instruments by that name. One charrière is the gauge of a catheter with a circumference of approximately 1 mm such that it is by convention exactly one third of a millimeter. In
+ the U.S. the charrière is simply called “french”
+
+
+
NOTE: Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as 1/π, this use, however this was never common use of the unit. This is why the definition has been corrected instead of adding another one.
+
+
+
+ A drop is a variable amount of fluid and depends on the device and technique used to produce the drop and on the physical properties of the fluid. This is similar to units like cup, tablespoon, and teaspoon that depend on the spoon or cup and are not
+ exact either. However, in clinical medicine medication is dispensed by drops and unlike a “tablet” a drop refers to a real physical kind of quantity, volume, though not very exact.
+
+
+
NOTE: Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as mL/12, this use, however this was not common use of the unit. This is why the definition has been corrected instead of adding another one.
+ Typically it is stated as mL/20. Original research using a 20 mL syringe filled to 5 mL shows that 1 mL has 25 drops of water, when tensides are added, the number goes up to 45. A saturated saline solution required 30 and plant oil 35. The speed
+ of dropping, pressure and position of the syringe or the lumen of the outlet, open or partially clogged with wax, did not have a significant influence on the number of drops. While the original research suggests that the division should be by
+ 25 or more, we use the common notion. It is discouraged to use the drop as any standard unit.
+
+
+
+ The Hounsfield unit is a unit of X-ray attenuation used in evaluating CT scans. It is defined on an interval scale where air is -1000 HF, water is 0 HF and bone is +1000 HF. Any advice as to how this unit can be related to metric units of radiant intensity
+ decremence is appreciated.
+
+
+
+ We have always pointed out that the homeopathic teaching takes potency not as equivalent to dillution and the C and X series would not equate to each other in the strictly numerical manner. Homeopathic potency includes the “agitation” (a vigorous shaking)
+ that needs to occur in every step of the dilluting process. Therefore as of April 2010, the hoemeopathic units are declared "arbitrary units", that is, they are no longer convertible. Therefore, also, we discontinue defining them using the dillution
+ functions. The dillution functions sometimes cause truly astronomical values, leading to overflow conditions, e.g. in such potencies as 30 C or 100 X or 10 M, which do actually occur in hoemeopathics that are on the market. The previous units
+ continue to exist as "retired", but their symbols now have a prime (apostrophe) in them.
+
+
+
§45 chemical and biochemical units
+ ■1 Units used mainly in chemical and biochemical laboratories are defined in Table
+ 19.
+ ■2 The meaning of the columns is declared in §43.
+ ■3 The function pair denoted “ph(1 mol/l)” is defined as fpH(x) = - lg x to convert from moles per liter to the pH value, and
+ fpH-1(x) = 10-x to convert from the pH value back to moles per liter.
+
+
+
+
name
kind of quantity
print
@@ -5774,12 +4856,12 @@
Other Legacy Units
M
definition value
definition unit
-
-
- Table
- 19: Units used in Chemical and Biomedical Laboratories
-
-
+
+
+
+ Table 19: Units used in Chemical and Biomedical Laboratories
+
+
equivalents
amount of substance
eq
@@ -5791,8 +4873,8 @@
Other Legacy Units
1
mol
-
-
+
+
osmole
amount of substance (dissolved particles)
osm
@@ -5804,8 +4886,8 @@
Other Legacy Units
1
mol
-
-
+
+
pH
acidity
pH
@@ -5817,8 +4899,8 @@
Other Legacy Units
•
pH(1 mol/l)
-
-
+
+
gram percent
mass concentration
g%
@@ -5830,8 +4912,8 @@
Other Legacy Units
1
g/dl
-
-
+
+
Svedberg unit
sedimentation coefficient
S
@@ -5843,8 +4925,8 @@
Other Legacy Units
1
10*-13.s
-
-
+
+
high power field
view area in microscope
HPF
@@ -5856,8 +4938,8 @@
Other Legacy Units
1
1
-
-
+
+
low power field
view area in microscope
LPF
@@ -5869,8 +4951,8 @@
Other Legacy Units
100
1
-
-
+
+
katal
catalytic activity
kat
@@ -5882,8 +4964,8 @@
Other Legacy Units
1
mol/s
-
-
+
+
Unit
catalytic activity
U
@@ -5895,8 +4977,8 @@
Other Legacy Units
1
umol/min
-
-
+
+
international unit
arbitrary
IU
@@ -5907,8 +4989,8 @@
Other Legacy Units
yes
•
•
-
-
+
+
international unit
arbitrary
i.U.
@@ -5919,8 +5001,8 @@
Other Legacy Units
yes
•
•
-
-
+
+
arbitary unit
arbitrary
arb. U
@@ -5931,8 +5013,8 @@
Other Legacy Units
no
•
•
-
-
+
+
United States Pharmacopeia unit
arbitrary
U.S.P.
@@ -5943,8 +5025,8 @@
Other Legacy Units
no
•
•
-
-
+
+
GPL unit
biologic activity of anticardiolipin IgG
@@ -5955,8 +5037,8 @@
Other Legacy Units
no
•
•
-
-
+
+
MPL unit
biologic activity of anticardiolipin IgM
@@ -5967,8 +5049,8 @@
Other Legacy Units
no
•
•
-
-
+
+
APL unit
biologic activity of anticardiolipin IgA
@@ -5979,8 +5061,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Bethesda unit
biologic activity of factor VIII inhibitor
@@ -5991,8 +5073,8 @@
Other Legacy Units
no
•
•
-
-
+
+
anti factor Xa unit
biologic activity of factor Xa inhibitor (heparin)
@@ -6003,8 +5085,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Todd unit
biologic activity antistreptolysin O
@@ -6015,8 +5097,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Dye unit
biologic activity of amylase
@@ -6027,8 +5109,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Somogyi unit
biologic activity of amylase
@@ -6039,8 +5121,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Bodansky unit
biologic activity of phosphatase
@@ -6051,8 +5133,8 @@
Other Legacy Units
no
•
•
-
-
+
+
King-Armstrong unit
biologic activity of phosphatase
@@ -6063,8 +5145,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Kunkel unit
arbitrary biologic activity
@@ -6075,8 +5157,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Mac Lagan unit
arbitrary biologic activity
@@ -6087,8 +5169,8 @@
Other Legacy Units
no
•
•
-
-
+
+
tuberculin unit
biologic activity of tuberculin
@@ -6099,8 +5181,8 @@
Other Legacy Units
no
•
•
-
-
+
+
50% cell culture infectious dose
biologic activity (infectivity) of an infectious agent preparation
CCID50
@@ -6112,8 +5194,8 @@
Other Legacy Units
no
•
•
-
-
+
+
50% tissue culture infectious dose
biologic activity (infectivity) of an infectious agent preparation
TCID50
@@ -6125,8 +5207,8 @@
Other Legacy Units
no
•
•
-
-
+
+
50% embryo infectious dose
biologic activity (infectivity) of an infectious agent preparation
EID50
@@ -6138,8 +5220,8 @@
Other Legacy Units
no
•
•
-
-
+
+
plaque forming units
amount of an infectious agent
PFU
@@ -6150,8 +5232,8 @@
Other Legacy Units
no
•
•
-
-
+
+
focus forming units
amount of an infectious agent
FFU
@@ -6162,8 +5244,8 @@
Other Legacy Units
no
•
•
-
-
+
+
colony forming units
amount of a proliferating organism
CFU
@@ -6174,8 +5256,8 @@
Other Legacy Units
no
•
•
-
-
+
+
index of reactivity
amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.
IR
@@ -6186,11 +5268,10 @@
Other Legacy Units
no
•
•
-
-
+
+
bioequivalent allergen unit
-
amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum
- of erythema diameters
+
amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters
BAU
[BAU]
@@ -6200,8 +5281,8 @@
Other Legacy Units
no
•
•
-
-
+
+
allergen unit
procedure defined amount of an allergen using some reference standard
AU
@@ -6212,8 +5293,8 @@
Other Legacy Units
no
•
•
-
-
+
+
allergen unit for Ambrosia artemisiifolia
procedure defined amount of the major allergen of ragweed.
Amb a 1 U
@@ -6224,8 +5305,8 @@
Other Legacy Units
no
•
•
-
-
+
+
protein nitrogen unit
procedure defined amount of a protein substance
PNU
@@ -6236,8 +5317,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Limit of flocculation
procedure defined amount of an antigen substance
Lf
@@ -6248,8 +5329,8 @@
Other Legacy Units
no
•
•
-
-
+
+
D-antigen unit
procedure defined amount of a poliomyelitis d-antigen substance
@@ -6260,8 +5341,8 @@
Other Legacy Units
no
•
•
-
-
+
+
fibrinogen equivalent unit
amount of fibrinogen broken down into the measured d-dimers
@@ -6272,8 +5353,8 @@
Other Legacy Units
no
•
•
-
-
+
+
ELISA unit
arbitrary ELISA unit
@@ -6284,8 +5365,8 @@
Other Legacy Units
no
•
•
-
-
+
+
Ehrlich unit
Ehrlich unit
@@ -6296,321 +5377,169 @@
Other Legacy Units
no
•
•
-
-
-
- The amount of electrolytes (including acids and bases) is often
- reported as equivalents instead of amount of substance. This
- habit originates in the measuring technique of titration. The Unified Code for Units of Measure
- does not endorse using equivalents. We rather recommend to calculate
- the proper amount of substance after titration, so that
- 1 eq of Na+ ions is 1 mol, but
- 1 eq of Ca++ ions is
- 0.5 mol. The problem with equivalents is that the measurement
- results are difficult to compare because their magnitude depends on
- the degree of ionization of the substance. That is to say, the meaning
- of equivalents depend not only on the substance, but also on the state
- that the substance is in. For example, in iron we have to distinguish
- Fe2+ from Fe3+, so that noone can be sure how much 1 eq
- of iron really is.
-
-
-
- Degrees of acidity are normally measured as “the pH value” that is
- the negative decadic logarithmus of the concentration of free protons
- (or hydronium ions) expressed in 1 mol/l. Usually the pH value
- is considered a dimensionless quantity. With the semantics of special
- units (§§21ff). The Unified Code for Units of Measure can link the pH value tighter to the system
- of proper units. Thus “[pH]” is defined as a unit symbol with
- the corresponding unit 1 mol/l. This allows conversions between
- pH and concentrations, and---because The Unified Code for Units of Measure identifies the mole with
- the Avogadro number---can be converted to an absolute number of
- protons: for example, pH 7.4 converts instantly to 0.04 μmol/l
- and approximately 23975 protons per picoliter.
-
-
-
- The unit osmol as the amount of dissolved particles is to be used with
- caution because it interferes with “osmolar” which is the amount of
- dissolved particles per liter.
-
-
-
- The gram-percent (g%) is a metric unit that has the same origin as
- %vol. Originally it was a dimensionless quanitiy expressing a ratio of
- two masses and thus equal to 1/100 g/g. Because water is the most
- important solvent in biochemistry and 1 g of a solution in water
- has a volume of approximately 1 ml, the meaning of the unit
- 1 g% drifted towards 1/100 g/ml and farther off to
- 1 g/dl. That way, the unit 1 g% regained a proper dimension
- (mass concentration, M/L3). Most
- often it is used as 1 mg% = 1 mg/dl but all other SI
- prefixes are possible.
-
-
-
- The Svedberg unit S is used to classify macromolecules (e.g.,
- ribosomes) in different phases of a centrifugate.
-
-
-
- The units “high power field” (HPF) and “low power field” (LPF) are
- used in microscopic analysis mostly of urine sediments. These units
- are used in semi-quantitative estimations of the abundance of things
- like crystals, bacteria or red and white blood cells. The number of
- the objects of interest is counted in one view field in the microscope
- with a 10 times (low) or 100 times (high) magnifying objective lens
- and then reported as the number per LPF or per HPF
- respectively. Obviously the number of objects seen depends on the way
- the slide is prepared: the amount of emulgate dropped, its initial
- dilution, and the way the drop is smeared. These preparations of the
- slides are usually carried out with great routine but little
- exactness, hence LPF and HPF can hardly relate to any exact and
- meaningful volume.
-
-
-
- The best we could do is to define LPF and HPF as areas of the viewed
- field. However, the area of the field varies with the kind of eyepiece
- used in the microscope. The so called “field number” of
- the eyepiece, i.e., the diameter of the view area is typically between
- 18 mm and 25 mm which is divided by the magnification of the
- objective lense to yield the actual field diameter d. Because the
- area A = π d2, the LPF can be anywhere
- between 2.5 mm^2 and 5 mm^2 and the HPF between
- 0.025 mm^2 and 0.05 mm^2. Because of this inexactness, we
- define LPF and HPF as dimensionless quantities with magnitudes that
- reflect the ratio of the view areas, i.e. 100:1. This allows at least
- to convert between numbers per LPF and per HPF and vice versa.
-
-
-
- The unit “U” of enzymatic activity was defined in 1964 by
- the International Union of Biochemistry as the catalytic
- activity that catalyzes the transformation of 1 μmol of the
- substrate per minute. This unit is defined so that normal biological
- enzyme activities are in the range of 1 U-100 U. This unit
- could not be adopted by the CGPM because it violates the style rules
- of the SI, i.e. “unit” is a very indistinctive word,
- “U” is a capital letter, and the definition is not
- coherent with the SI.
-
-
-
- An SI-coherent unit katal 1 kat = 1 mol/s, had been proposed
- for adoption into the SI over 30 years ago and was finally adopted by
- the CGPM in 1999. However, perhaps because the unit katal is 7 orders
- of magnitudes greater than normal catalytic activities, in practice
- the katal has not gained much in popularity over the unit
- “U”.
-
-
-
- In its 1999 decision to add the katal to the SI, the CGPM explicitly
- “recommends that when the katal is used, the measurand be
- specified by reference to the measurement procedure; the measurement
- procedure must identify the indicator reaction.” The general
- problem with catalytic activities is that these heavily depend not
- only on the substance but on many side-conditions, such as
- temperature, acidity of the solution, presence or absence of
- cofactors, inhibitors or activators, and the amount of substrate.
- Particularly a catalytic activity measured in vitro says
- little about the activity in vivo. Hence the use of katal
- alone without specifying exactly the measurement method, is not
- sufficient to improve comparability of the measurement of catalytic
- substances.
-
-
-
- Because of the influence of the measurement method, results of
- biologic activity measurement cannot usually be converted. This is a
- particular problem with the many named arbitrary units that are still
- used. The Unified Code for Units of Measure initially defined all arbitrary units as
- dimensionless. But since this leads to the false conclusion that all
- arbitrary units are the same, the Unified Code for Units of Measure now accounts for arbitrary units
- using a special flag. When a unit is marked as arbitrary, it is
- isolated from all other units, and no result can be converted from
- and to that unit (See §24).
-
-
-
- The unit “TCID50” expresses the result of
- quantifying an infectious agent in tissue culture. It is a titer, expressing the
- highest dilution of the specimen which produces a cytopathic effect in
- 50% of the cell cultures or wells inoculated.
-
- [Sources: Clinical Microbiology Reviews, July 1998, Vol. 11(3), p. 533-554]
-
-
-
- The unit “CCID50” expresses the result of
- quantifying an infectious agent in a cell culture. It is a titer, expressing the
- highest dilution of the specimen which produces a cytopathic effect in
- 50% of the cell cultures or wells inoculated.
-
- [Sources: Schmidt NJ. Cell culture procedures for diagnostic
- virology, p. 78-79. In Schmidt NJ, Emmons RW (ed.),
- Diagnostic procedures for viral, rickettsial and chlamydial
- infections, 5th ed. American Public Health Association, Inc.,
- Washington, D.C.]
-
-
-
- The unit “PFU” measures viral infectivity in a sensitive assay in cell
- culture where the titer is determined by counting the number of
- visible plaques developed following viral infection of a sensitive
- cell culture and results recorded as PFU/ml.
-
-
-
- The unit “FFU” measures viral infectivity in a sensitive
- assay in cell culture, for example, using immunofocus or vital dyes
- technology. For example, the titer is determined by visualizing
- infected areas of a cell monolayer by probing with virus-specific
- antibodies and results are recorded as FFU/ml.
-
- [Sources: WHO expert committee on biological standardization (55th Edition). WHO Technical Report #932;]
-
-
-
- The unit “BAU” measures amount of an allergen based on an in-vivo callibrated test using the Intradermal Dilution for 50mm
- sum of Erythema Diameters (ID50EAL) Method.
-
- [Source: Turkeltaub PC. Biological Standardization based on
+
+
+
+ The amount of electrolytes (including acids and bases) is often reported as equivalents instead of amount of substance. This habit originates in the measuring technique of titration. The Unified Code for Units of Measure does
+ not endorse using equivalents. We rather recommend to calculate the proper amount of substance after titration, so that 1 eq of Na+ ions is 1 mol, but 1 eq of Ca++ ions is 0.5 mol. The problem with equivalents
+ is that the measurement results are difficult to compare because their magnitude depends on the degree of ionization of the substance. That is to say, the meaning of equivalents depend not only on the substance, but also on the state that the
+ substance is in. For example, in iron we have to distinguish Fe
+ 2+ from Fe3+, so that noone can be sure how much 1 eq of iron really is.
+
+
+
+ Degrees of acidity are normally measured as “the pH value” that is the negative decadic logarithmus of the concentration of free protons (or hydronium ions) expressed in 1 mol/l. Usually the pH value is considered a dimensionless quantity. With the
+ semantics of special units (§§21ff). The Unified Code for Units of Measure can link the pH value tighter to the system of proper units. Thus “[pH]” is defined as a unit symbol
+ with the corresponding unit 1 mol/l. This allows conversions between pH and concentrations, and---because The Unified Code for Units of Measure identifies the mole with the Avogadro number---can be converted to an absolute number
+ of protons: for example, pH 7.4 converts instantly to 0.04 μmol/l and approximately 23975 protons per picoliter.
+
+
+
+ The unit osmol as the amount of dissolved particles is to be used with caution because it interferes with “osmolar” which is the amount of dissolved particles per liter.
+
+
+
+ The gram-percent (g%) is a metric unit that has the same origin as %vol. Originally it was a dimensionless quanitiy expressing a ratio of two masses and thus equal to 1/100 g/g. Because water is the most important solvent in biochemistry and 1 g
+ of a solution in water has a volume of approximately 1 ml, the meaning of the unit 1 g% drifted towards 1/100 g/ml and farther off to 1 g/dl. That way, the unit 1 g% regained a proper dimension (mass concentration, M/L3).
+ Most often it is used as 1 mg% = 1 mg/dl but all other SI prefixes are possible.
+
+
+
+ The Svedberg unit S is used to classify macromolecules (e.g., ribosomes) in different phases of a centrifugate.
+
+
+
+ The units “high power field” (HPF) and “low power field” (LPF) are used in microscopic analysis mostly of urine sediments. These units are used in semi-quantitative estimations of the abundance of things like crystals, bacteria or red and white blood
+ cells. The number of the objects of interest is counted in one view field in the microscope with a 10 times (low) or 100 times (high) magnifying objective lens and then reported as the number per LPF or per HPF respectively. Obviously the number
+ of objects seen depends on the way the slide is prepared: the amount of emulgate dropped, its initial dilution, and the way the drop is smeared. These preparations of the slides are usually carried out with great routine but little exactness,
+ hence LPF and HPF can hardly relate to any exact and meaningful volume.
+
+
+
+ The best we could do is to define LPF and HPF as areas of the viewed field. However, the area of the field varies with the kind of eyepiece used in the microscope. The so called “field number” of the eyepiece, i.e., the diameter of the view area is typically
+ between 18 mm and 25 mm which is divided by the magnification of the objective lense to yield the actual field diameter d. Because the area A = π d2, the LPF can be anywhere between 2.5 mm^2
+ and 5 mm^2 and the HPF between 0.025 mm^2 and 0.05 mm^2. Because of this inexactness, we define LPF and HPF as dimensionless quantities with magnitudes that reflect the ratio of the view areas, i.e. 100:1. This allows at least to
+ convert between numbers per LPF and per HPF and vice versa.
+
+
+
+ The unit “U” of enzymatic activity was defined in 1964 by the International Union of Biochemistry as the catalytic activity that catalyzes the transformation of 1 μmol of the substrate per minute. This unit is defined so that normal
+ biological enzyme activities are in the range of 1 U-100 U. This unit could not be adopted by the CGPM because it violates the style rules of the SI, i.e. “unit” is a very indistinctive word, “U” is a capital letter, and the definition
+ is not coherent with the SI.
+
+
+
+ An SI-coherent unit katal 1 kat = 1 mol/s, had been proposed for adoption into the SI over 30 years ago and was finally adopted by the CGPM in 1999. However, perhaps because the unit katal is 7 orders of magnitudes greater than normal catalytic
+ activities, in practice the katal has not gained much in popularity over the unit “U”.
+
+
+
+ In its 1999 decision to add the katal to the SI, the CGPM explicitly “recommends that when the katal is used, the measurand be specified by reference to the measurement procedure; the measurement procedure must identify the indicator reaction.” The general
+ problem with catalytic activities is that these heavily depend not only on the substance but on many side-conditions, such as temperature, acidity of the solution, presence or absence of cofactors, inhibitors or activators, and the amount of substrate.
+ Particularly a catalytic activity measured in vitro says little about the activity in vivo. Hence the use of katal alone without specifying exactly the measurement method, is not sufficient to improve comparability of
+ the measurement of catalytic substances.
+
+
+
+ Because of the influence of the measurement method, results of biologic activity measurement cannot usually be converted. This is a particular problem with the many named arbitrary units that are still used. The Unified Code for Units of Measure initially defined all arbitrary units as dimensionless. But since this leads to the false conclusion that all arbitrary units are the same, the Unified Code for Units of Measure now accounts for arbitrary units using a special flag. When
+ a unit is marked as arbitrary, it is isolated from all other units, and no result can be converted from and to that unit (See §24).
+
+
+
+ The unit “TCID50” expresses the result of quantifying an infectious agent in tissue culture. It is a titer, expressing the highest dilution of the specimen which produces a cytopathic effect in 50% of the cell cultures or wells inoculated.
+ [Sources: Clinical Microbiology Reviews, July 1998, Vol. 11(3), p. 533-554]
+
+
+
+ The unit “CCID50” expresses the result of quantifying an infectious agent in a cell culture. It is a titer, expressing the highest dilution of the specimen which produces a cytopathic effect in 50% of the cell cultures or wells inoculated.
+ [Sources: Schmidt NJ. Cell culture procedures for diagnostic virology, p. 78-79. In Schmidt NJ, Emmons RW (ed.),
+ Diagnostic procedures for viral, rickettsial and chlamydial
+ infections, 5th ed. American Public Health Association, Inc., Washington, D.C.]
+
+
+
+ The unit “PFU” measures viral infectivity in a sensitive assay in cell culture where the titer is determined by counting the number of visible plaques developed following viral infection of a sensitive cell culture and results recorded as PFU/ml.
+
+
+
+ The unit “FFU” measures viral infectivity in a sensitive assay in cell culture, for example, using immunofocus or vital dyes technology. For example, the titer is determined by visualizing infected areas of a cell monolayer by probing with virus-specific
+ antibodies and results are recorded as FFU/ml. [Sources: WHO expert committee on biological standardization (55th Edition). WHO Technical Report #932;]
+
+
+
+ The unit “BAU” measures amount of an allergen based on an in-vivo callibrated test using the Intradermal Dilution for 50mm sum of Erythema Diameters (ID50EAL) Method. [Source: Turkeltaub PC. Biological Standardization based on
Quantitative Skin Testing - The 1D50 EAL Method. Arbeiten aus dem
Paul-Ehrlich-Institut, dem Georg-Speyer-Haus und dem
Ferdinand-Blum-Institut, Band 80 Gustav Fischer Verlag' Stuttgart, New
York. 1987]
-
-
-
- EDITORIAL NOTE: This method needs to be further investigated to
- determine a quantitative model which relates that would relate 1 BAU
- with a standardized amount of substance of the standardized allergenic
- protein. The situation is not unlike the titer and is not worse than
- for many of the arbitrary units listed already. In a future revision a
- stronger formalized metrologic model will be added to this
- specification.
-
-
-
- The unit “AU” (for allergen unit) is for the amount of an
- allergen based some procedure defined and allergen specific reference
- standard. Note, do not confuse with astronomical unit, distinguish
- [AU] from AU
-
- The unit “IR” has been defined to measure the
- allergenicity of an allergen extract. The allergen extract contains
- 100 IR/ml when, on a skin prick-test using a Stallerpoint®, it induces
- a wheal diameter of 7 mm in 30 patients sensitized to this allergen,
- (geometric mean). The cutaneous reactivity of these patients is
- simultaneously demonstrated by a positive skin prick-test to either 9
- % codeine phosphate or 10 mg/ml histamine. The IR unit of Stallergenes
- is not comparable to the units used by other allergen manufacturers.
-
-
-
- EDITORIAL NOTE: Should more manufacturer specific units come up in the
- future, we will include a manufacturer abbreviation in the unit symbol.
-
-
-
- The unit “Amb a 1 U” is an arbitrary unit for the
- amount of Amb a 1, a 38 kD glycoprotein that is the major allergen in
- short ragweed (Ambrosia artemisiifolia) pollen allergen extracts. The
- amount of Amb a 1 units are determined by an in-vitro comparison of a
- test short ragweed extract to a FDA CBER Amb a 1 reference standard.
- Amb a 1 is the up-to-date term for the short ragweed pollen allergen
- that was originally described as Antigen E. They are
- synonyms. Although Antigen E is no longer used in the scientific
- literature, its meaning is unambiguous. The manufacturers are still
- licensed to use Antigen E as the designation. Therefore, Amb a 1 U =
- AgE U. There is an empiric relationship between Amb a 1 U and BAU
- (350 Amb a 1 U/mL = 100,000 BAU/mL). It was based on studies done
- decades ago on 15 study subjects. FDA's CBER considered mandating a
- conversion to BAU/mL in the labeling of short ragweed pollen products,
- based on AgE content, but this was never implemented. CBER provides
- two US standard reagents to manufacturers for their determination of
- Amb a 1 content, a reference standard and a reference serum. The assay
- used is a radial immunodiffusion assay (RID). Solid references
- discussing the relationship between Antigen E U/mL/Amb a 1 U/mL and
- micrograms of Antigen E U/mL/Amb a 1/mL are being researched.
-
-
-
- EDITORIAL NOTE: The University of Texas' Structural Database of
- Allergenic Proteins (SDAP) contains close to 1000 allergens,
- isoallergens. Comparing the prospect of thousands of such special
- units for every allergen, one begins to appreciate even the
- metrologically comlex BAU unit.
-
-
-
- The unit “PNU” is defined as follows: 1 PNU/ml is
- equivalent to 1 x 10-5 mg of nitrogen determined to be in the material
- precipitated from 1 ml of allergenic extract by phosphotungstic acid
- (micro-Kjeldahl method). Typically, 1 mg of protein nitrogen equals
- 100,000 PNU. The unit “PNU” is an old protein unit
- unrelated to SI units. Several hundred products, from several
- manufacturers, are labeled in PNUs, and a switch to SI units for
- protein content is impractical.
-
-
-
- The unit “Lf” is called the “Limit of
- Floculation” or “limes flocculationis”. It is based
- on an antigen-antibody precipitation reaction and used for the
- quantification of the antigenic content of tetanus and diphteria toxin
- and toxoid. The limes flocculationis is the smallest amount of antigen
- that when mixed with one unit (Ramon) of antitoxin (antibody),
- produces the most rapid floccules in the flocculation test. For a
- purified crystalline tetanus or diphteria toxin 1 Lf is equivalent to
- ~ 2 μg of protein. For tetanus and diphtheria toxoids, antigenic
- purity is defined and controlled by Lf units per mg of protein
- nitrogen.
-
-
-
- Many sources describe the unit of antitoxin as "international unit"
- (IU), however, this is no longer correct. It was correct for the first
- international standard for antitoxin, established in 1920s. It had an
- arbitrary unit defined as IU for in vivo antitoxic activity and that
- unit was also used for establishing Lf units of toxins and toxoids,
- that is why this standard had a ratio of 1 between flocculating
- activity (Lf) and antitoxic activity (IU). When WHO replaced that
- standard in 1970s, the second international standard related to Lf by
- a factor of 1.4 instead of 1. Ultimately, WHO decided to move to the
- toxoid standards and calibrated tetanus toxoid for flocculation using
- Lf unit (not IU). With the implementation of WHO standards for
- flocculation as tetanus and diphtheria toxoids, antitoxin standards
- were discontinued by the WHO. [Source: Lyng J. Quantitative
+
+
+
+ EDITORIAL NOTE: This method needs to be further investigated to determine a quantitative model which relates that would relate 1 BAU with a standardized amount of substance of the standardized allergenic protein. The situation is not unlike the titer
+ and is not worse than for many of the arbitrary units listed already. In a future revision a stronger formalized metrologic model will be added to this specification.
+
+
+
+ The unit “AU” (for allergen unit) is for the amount of an allergen based some procedure defined and allergen specific reference standard. Note, do not confuse with astronomical unit, distinguish
+ [AU] from AU
+
+ The unit “IR” has been defined to measure the allergenicity of an allergen extract. The allergen extract contains 100 IR/ml when, on a skin prick-test using a Stallerpoint®, it induces a wheal diameter of 7 mm in 30 patients sensitized to this allergen,
+ (geometric mean). The cutaneous reactivity of these patients is simultaneously demonstrated by a positive skin prick-test to either 9 % codeine phosphate or 10 mg/ml histamine. The IR unit of Stallergenes is not comparable to the units used by
+ other allergen manufacturers.
+
+
+
+ EDITORIAL NOTE: Should more manufacturer specific units come up in the future, we will include a manufacturer abbreviation in the unit symbol.
+
+
+
+ The unit “Amb a 1 U” is an arbitrary unit for the amount of Amb a 1, a 38 kD glycoprotein that is the major allergen in short ragweed (Ambrosia artemisiifolia) pollen allergen extracts. The amount of Amb a 1 units are determined by an in-vitro comparison
+ of a test short ragweed extract to a FDA CBER Amb a 1 reference standard. Amb a 1 is the up-to-date term for the short ragweed pollen allergen that was originally described as Antigen E. They are synonyms. Although Antigen E is no longer used
+ in the scientific literature, its meaning is unambiguous. The manufacturers are still licensed to use Antigen E as the designation. Therefore, Amb a 1 U = AgE U. There is an empiric relationship between Amb a 1 U and BAU (350 Amb a 1 U/mL = 100,000
+ BAU/mL). It was based on studies done decades ago on 15 study subjects. FDA's CBER considered mandating a conversion to BAU/mL in the labeling of short ragweed pollen products, based on AgE content, but this was never implemented. CBER provides
+ two US standard reagents to manufacturers for their determination of Amb a 1 content, a reference standard and a reference serum. The assay used is a radial immunodiffusion assay (RID). Solid references discussing the relationship between Antigen
+ E U/mL/Amb a 1 U/mL and micrograms of Antigen E U/mL/Amb a 1/mL are being researched.
+
+
+
+ EDITORIAL NOTE: The University of Texas' Structural Database of Allergenic Proteins (SDAP) contains close to 1000 allergens, isoallergens. Comparing the prospect of thousands of such special units for every allergen, one begins to appreciate even the
+ metrologically comlex BAU unit.
+
+
+
+ The unit “PNU” is defined as follows: 1 PNU/ml is equivalent to 1 x 10-5 mg of nitrogen determined to be in the material precipitated from 1 ml of allergenic extract by phosphotungstic acid (micro-Kjeldahl method). Typically, 1 mg of protein nitrogen
+ equals 100,000 PNU. The unit “PNU” is an old protein unit unrelated to SI units. Several hundred products, from several manufacturers, are labeled in PNUs, and a switch to SI units for protein content is impractical.
+
+
+
+ The unit “Lf” is called the “Limit of Floculation” or “limes flocculationis”. It is based on an antigen-antibody precipitation reaction and used for the quantification of the antigenic content of tetanus and diphteria toxin and toxoid. The limes flocculationis
+ is the smallest amount of antigen that when mixed with one unit (Ramon) of antitoxin (antibody), produces the most rapid floccules in the flocculation test. For a purified crystalline tetanus or diphteria toxin 1 Lf is equivalent to ~ 2 μg of
+ protein. For tetanus and diphtheria toxoids, antigenic purity is defined and controlled by Lf units per mg of protein nitrogen.
+
+
+
+ Many sources describe the unit of antitoxin as "international unit" (IU), however, this is no longer correct. It was correct for the first international standard for antitoxin, established in 1920s. It had an arbitrary unit defined as IU for in vivo antitoxic
+ activity and that unit was also used for establishing Lf units of toxins and toxoids, that is why this standard had a ratio of 1 between flocculating activity (Lf) and antitoxic activity (IU). When WHO replaced that standard in 1970s, the second
+ international standard related to Lf by a factor of 1.4 instead of 1. Ultimately, WHO decided to move to the toxoid standards and calibrated tetanus toxoid for flocculation using Lf unit (not IU). With the implementation of WHO standards for flocculation
+ as tetanus and diphtheria toxoids, antitoxin standards were discontinued by the WHO. [Source: Lyng J. Quantitative
Estimation of Diphtheria and Tetanus Toxoids - 4 - Toxoids as
International Reference Materials Defining Lf-units for Diphtheria and
- Tetanus Toxoids. Biologicals (1990) 18, 11-17. Also on the
- definition of the IU for antitoxin: Spaun J, Lyng J. Replacement
+ Tetanus Toxoids. Biologicals (1990) 18, 11-17. Also on the definition of the IU for antitoxin: Spaun J, Lyng J. Replacement
of the International Standard for Tetanus Antitoxin and the Use of the
Standard in the Flocculation Test. Bull. Wid Hith Org. 1970, 42,
- 523-534.http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2427455 and
- personal communication with FDA CBER representatives.]
-
-
-
§46 levels
-
- ■1
- Pseudo-units defined to express logarithms of ratios between two
- quantities of the same kind are defined in Table
- 20.
- ■2
- The meaning of the columns is declared in §43.
- ■3
- The function pairs denoted “ln”
- “lg” and “2lg” are
- defined as the natural logarithm, the decadic logarithm, and the
- decadic logarithm times two with their respective inverse functions.
-
-
-
-
+ 523-534.http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2427455 and personal communication with FDA CBER representatives.]
+
+
+
§46 levels
+ ■1 Pseudo-units defined to express logarithms of ratios between two quantities of the same kind are defined in Table
+ 20.
+ ■2 The meaning of the columns is declared in §43.
+ ■3 The function pairs denoted “ln” “
+ lg” and “2lg” are defined as the natural logarithm, the decadic logarithm, and the decadic logarithm times two with their respective inverse functions.
+
+
+
+
name
kind of quantity
print
@@ -6619,12 +5548,12 @@
Other Legacy Units
M
definition value
definition unit
-
-
- Table
- 20: Levels
-
-
+
+
+
+ Table 20: Levels
+
+
neper
level
Np
@@ -6636,8 +5565,8 @@
Other Legacy Units
•
ln(1 1)
-
-
+
+
bel
level
B
@@ -6649,8 +5578,8 @@
Other Legacy Units
•
lg(1 1)
-
-
+
+
bel sound pressure
pressure level
B(SPL)
@@ -6662,8 +5591,8 @@
Other Legacy Units
•
2lg(2 10*-5.Pa)
-
-
+
+
bel volt
electric potential level
B(V)
@@ -6675,8 +5604,8 @@
Other Legacy Units
•
2lg(1 V)
-
-
+
+
bel millivolt
electric potential level
B(mV)
@@ -6688,8 +5617,8 @@
Other Legacy Units
•
2lg(1 mV)
-
-
+
+
bel microvolt
electric potential level
B(μV)
@@ -6701,8 +5630,8 @@
Other Legacy Units
•
2lg(1 uV)
-
-
+
+
bel 10 nanovolt
electric potential level
B(10 nV)
@@ -6714,8 +5643,8 @@
Other Legacy Units
•
2lg(10 nV)
-
-
+
+
bel watt
power level
B(W)
@@ -6727,8 +5656,8 @@
Other Legacy Units
•
lg(1 W)
-
-
+
+
bel kilowatt
power level
B(kW)
@@ -6740,56 +5669,35 @@
Other Legacy Units
•
lg(1 kW)
-
-
-
- These units are “pseudo-units” because of their standardized
- definition as being logarithms of a ratio of two measurements with the
- same kind-of-quantity: first, the units cancel out, and second, the
- logarithm does not produce a new unit. These units were defined as
- “metric” because they are used as such, although a multiplication
- operation is not defined on these quantities. Multiplication of the
- measurement value with a scalar r is equivalent to raising the
- original ratio to the r-th power.
-
-
-
- According to NIST, the neper is used as the ratio level of field
- quantities and the bel is used for the level of power quantities. The
- factor 2 comes into play when field quantities (like electric
- potential) are expressed in decibel. The specialized bel-units B(V),
- B(mV), B(W), etc. are defined as the level of the measured quantity
- with reference quantities 1 V, 1 mV, and 1 W
- respectively. [NIST Sp. Pub. 811, 1995 Edition]
-
-
-
- Given the sound pressure level expressed in dB(SPL) it is feasible to
- define dB(A) for the A scale of loudness. Similar units such as phon
- and sone could be defined as well if a good approximation for the
- respective characteristic functions are available. Any advice is
- welcome.
-
-
-
§47 miscellaneous units
-
- ■1
- Not otherwise classified units are defined in Table
- 21.
- ■2
- The meaning of the columns is declared in §30.2.
- ■3
- Only the columns titled “c/s,” “c/i,”
- “M,” “value,” and “definition” are
- normative. Full name and print symbol are either not standardized or
- standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
- ■4
- The function pair denoted “sqrt” is defined as
- the square root with its respective inverse function, the square.
-
-
-
-
+
+
+
+ These units are “pseudo-units” because of their standardized definition as being logarithms of a ratio of two measurements with the same kind-of-quantity: first, the units cancel out, and second, the logarithm does not produce a new unit. These units
+ were defined as “metric” because they are used as such, although a multiplication operation is not defined on these quantities. Multiplication of the measurement value with a scalar r is equivalent to raising the original ratio
+ to the r-th power.
+
+
+
+ According to NIST, the neper is used as the ratio level of field quantities and the bel is used for the level of power quantities. The factor 2 comes into play when field quantities (like electric potential) are expressed in decibel. The specialized bel-units
+ B(V), B(mV), B(W), etc. are defined as the level of the measured quantity with reference quantities 1 V, 1 mV, and 1 W respectively. [NIST Sp. Pub. 811, 1995 Edition]
+
+
+
+ Given the sound pressure level expressed in dB(SPL) it is feasible to define dB(A) for the A scale of loudness. Similar units such as phon and sone could be defined as well if a good approximation for the respective characteristic functions are available.
+ Any advice is welcome.
+
+
+
§47 miscellaneous units
+ ■1 Not otherwise classified units are defined in Table
+ 21.
+ ■2 The meaning of the columns is declared in §30.2.
+ ■3 Only the columns titled “c/s,” “c/i,” “M,” “value,” and “definition” are normative. Full name and print symbol are either not standardized or standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
+
+ ■4 The function pair denoted “sqrt” is defined as the square root with its respective inverse function, the square.
+
+
+
+
name
kind of quantity
print
@@ -6798,12 +5706,12 @@
Other Legacy Units
M
definition value
definition unit
-
-
- Table
- 21: Miscellaneous Units
-
-
+
+
+
+ Table 21: Miscellaneous Units
+
+
stere
volume
st
@@ -6815,8 +5723,8 @@
Other Legacy Units
1
m3
-
-
+
+
Ångström
length
Å
@@ -6828,8 +5736,8 @@
Other Legacy Units
0.1
nm
-
-
+
+
barn
action area
b
@@ -6841,8 +5749,8 @@
Other Legacy Units
100
fm2
-
-
+
+
technical atmosphere
pressure
at
@@ -6854,8 +5762,8 @@
Other Legacy Units
1
kgf/cm2
-
-
+
+
mho
electric conductance
mho
@@ -6867,8 +5775,8 @@
Other Legacy Units
1
S
-
-
+
+
pound per sqare inch
pressure
psi
@@ -6880,8 +5788,8 @@
Other Legacy Units
1
[lbf_av]/[in_i]2
-
-
+
+
circle
plane angle
circ
@@ -6893,8 +5801,8 @@
Other Legacy Units
2
[pi].rad
-
-
+
+
spere
solid angle
sph
@@ -6906,8 +5814,8 @@
Other Legacy Units
4
[pi].sr
-
-
+
+
metric carat
mass
ctm
@@ -6920,8 +5828,8 @@
Other Legacy Units
0.2
g
-
-
+
+
carat of gold alloys
mass fraction
ctAu
@@ -6934,8 +5842,8 @@
Other Legacy Units
1
/24
-
-
+
+
Smoot
length
@@ -6947,8 +5855,8 @@
Other Legacy Units
67
[in_i]
-
-
+
+
meter per square seconds per square root of hertz
amplitude spectral density
@@ -6960,89 +5868,60 @@
Other Legacy Units
•
sqrt(1 m2/s4/Hz)
-
-
-
- Although called “metric carat,” the carat really is a
- customary unit, still used for precious gems. The word carat comes
- from greek
- κερατίκον (small
- horn) that originally was the horn-shaped grain of a locust-tree
- species in the pea family, hence the carat grain is about three barley
- grain that the other English systems of weights are based on. The arab
- carat was 1/24 of an ounce, the Imperial carat (1877) was
- 205.3 mg or 3.168 grain. In other European cities, the carat
- was 205.8 mg (Hamburg, Lisboa) but there were great variations
- from 188.5 mg (Bologna) to 213.5 mg (Torino). Due to these
- variations no customary carat has gained importance today aside from
- the “metric carat” defined as 200 mg exactly.
- [All About Carats URL:
- http://www.channel1.com/users/scales/carat-def.htm]
-
-
-
- The “Mark” was a mass unit for precious metals (Köln 234 g,
- Paris 245 g, Wien 277 g). A mark of gold was subdivided into
- 24 “karat,” a mark of silver into 16 “lot.” This led to the other
- use of the unit “carat” to mean 1/24 in measuring the finesse of
- pure gold in an alloy. For example, an 8 carat gold alloy contains 8
- parts of gold on 16 parts of silver = 8/24 = 1/3, or 333 per
- mille. This carat is spelled “karat” in the U.S. while other
- countries do not use different spellings.
-
-
-
- The unit “[m/s2/Hz^(1/2)]” is defined as a special unit to represent the odd fractional exponent of the second obtaining for the unit of the amplitude
- spectral density (ASD). It is defined based on the unit for the power spectral density (PSD), that is 1 (m/s2)2/Hz or 1 m2 · s-3. Since the two measurements are directly comparable, PSD = ASD2.
-
-
-
-
+
+
+
+ Although called “metric carat,” the carat really is a customary unit, still used for precious gems. The word carat comes from greek κερατίκον (small horn) that originally was the horn-shaped grain of a locust-tree species in the pea family, hence the
+ carat grain is about three barley grain that the other English systems of weights are based on. The arab carat was 1/24 of an ounce, the Imperial carat (1877) was 205.3 mg or 3.168 grain. In other European cities, the carat was 205.8 mg
+ (Hamburg, Lisboa) but there were great variations from 188.5 mg (Bologna) to 213.5 mg (Torino). Due to these variations no customary carat has gained importance today aside from the “metric carat” defined as 200 mg exactly. [
+ All About Carats URL:
+ http://www.channel1.com/users/scales/carat-def.htm]
+
+
+
+ The “Mark” was a mass unit for precious metals (Köln 234 g, Paris 245 g, Wien 277 g). A mark of gold was subdivided into 24 “karat,” a mark of silver into 16 “lot.” This led to the other use of the unit “carat” to mean 1/24 in measuring
+ the finesse of pure gold in an alloy. For example, an 8 carat gold alloy contains 8 parts of gold on 16 parts of silver = 8/24 = 1/3, or 333 per mille. This carat is spelled “karat” in the U.S. while other countries do not use different spellings.
+
+
+
+ The unit “[m/s2/Hz^(1/2)]” is defined as a special unit to represent the odd fractional exponent of the second obtaining for the unit of the amplitude spectral density (ASD). It is defined based on the unit for the power spectral
+ density (PSD), that is 1 (m/s2)2/Hz or 1 m2 · s-3. Since the two measurements are directly comparable, PSD = ASD2.
+
+
+
+
-
4.6
-
+
+ 4.6
+
-
Prefixes and Units Used in Information Technology
-
-
-
-
§48 units used in information technology
-
- ■1
- Units used in information technology are defined in table 22.
- ■2
- The meaning of the columns is declared in §43.
- ■3
- The function pair denoted “ld” is defined as
- the dual logarithm with its respective inverse function
- f-1(x) = 2x).
-
-
-
- This table is not complete. There are other units such as shannon
- (Sh), erlang (E), or hartley (Hart), for which we had no quantitative
- definitions. Any advice is appreciated.
-
-
-
- The bit is defined twice. One definition with a subscript letter
- ‘s‘ is defined as the logarithmus dualis of the number of
- distinct signals. However this unit can not practically be used to
- express more than 1000 bits. Especially when the bit is used to
- express transmission rate or memory capacities, floating point
- registers would quickly overflow. Therefore we define a second symbol
- for bit, without the suffix, to be the dimensionless unit 1.
-
-
-
- The baud (Bd) is the number of distict signals transmitted per second,
- it is not the same as bits per second since one distinct signal
- usually carries more than one bit of information.
-
-
-
-
+
Prefixes and Units Used in Information Technology
+
+
+
+
§48 units used in information technology
+ ■1 Units used in information technology are defined in table 22.
+ ■2 The meaning of the columns is declared in §43.
+ ■3 The function pair denoted “ld” is defined as the dual logarithm with its respective inverse function
+ f-1(x) = 2x).
+
+
+
+ This table is not complete. There are other units such as shannon (Sh), erlang (E), or hartley (Hart), for which we had no quantitative definitions. Any advice is appreciated.
+
+
+
+ The bit is defined twice. One definition with a subscript letter ‘s‘ is defined as the logarithmus dualis of the number of distinct signals. However this unit can not practically be used to express more than 1000 bits. Especially when the bit is used
+ to express transmission rate or memory capacities, floating point registers would quickly overflow. Therefore we define a second symbol for bit, without the suffix, to be the dimensionless unit 1.
+
+
+
+ The baud (Bd) is the number of distict signals transmitted per second, it is not the same as bits per second since one distinct signal usually carries more than one bit of information.
+
+
+
+
name
kind of quantity
print
@@ -7051,12 +5930,12 @@
Prefixes and Units Used in Information Technology
M
definition value
definition unit
-
-
- Table
- 22: Units used in Information Science and Technology
-
-
+
+
+
+ Table 22: Units used in Information Science and Technology
+
+
bit
amount of information
bits
@@ -7069,8 +5948,8 @@
Prefixes and Units Used in Information Technology
•
ld(1 1)
-
-
+
+
bit
amount of information
bit
@@ -7082,8 +5961,8 @@
Prefixes and Units Used in Information Technology
1
1
-
-
+
+
byte
amount of information
B
@@ -7095,8 +5974,8 @@
Prefixes and Units Used in Information Technology
8
bit
-
-
+
+
baud
signal transmission rate
Bd
@@ -7108,2598 +5987,3065 @@
Prefixes and Units Used in Information Technology
1
/s
-
-
-
§49 prefixes
-
- ■1
- The prefix symbols based on powers of two for use in information
- technology as proposed by the IEEE are defined in Table
- 23.
- ■2
- The meaning of the columns is declared in §49.2.
- ■3
- Only the columns titled “c/s,” “c/i,” and
- “value,” are normative. Full name and print symbol are out
- of scope of The Unified Code for Units of Measure.
-
-
-
- This table reflects proposed prefixes which are not yet standardized.
- [Bruce Barrow, A Lesson in Megabytes. IEEE Standards
- Bearer, January 1997]
-
-
-
-
+
+
+
§49 prefixes
+ ■1 The prefix symbols based on powers of two for use in information technology as proposed by the IEEE are defined in Table
+ 23.
+ ■2 The meaning of the columns is declared in §49.2.
+ ■3 Only the columns titled “c/s,” “c/i,” and “value,” are normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
+
+
+
+ This table reflects proposed prefixes which are not yet standardized. [Bruce Barrow, A Lesson in Megabytes. IEEE Standards Bearer, January 1997]
+
+
+
+
name
print
c/s
c/i
value
-
-
- Table
- 23: The special prefix symbols for powers of 2
-
-
+
+
+
+ Table 23: The special prefix symbols for powers of 2
+
+
kibi
Ki
Ki
KIB
1024
-
-
+
+
mebi
Mi
Mi
MIB
1048576
-
-
+
+
gibi
Gi
Gi
GIB
1073741824
-
-
+
+
tebi
Ti
Ti
TIB
1099511627776
-
-
-
-
-
+
+
+
+
+
-
-
A
-
-
-
-
Examples for some Non-Units.
-
+
+
+ A
+
+
+
+
Examples for some Non-Units.
+
-
-
§50 Non-units
-
- ■1
- Symbols commonly used as units that are no real units of measurements
- are not defined by The Unified Code for Units of Measure.
- ■2
- Users are free to use curly braces expressions (§12) if they think it is important to use symbols
- rather than the default unit 1.
- ■3
- Curly braces expressions are equivalent to the unit 1. The
- details of the annotations in the curly braces have no defined meaning
- in The Unified Code for Units of Measure.
- ■4Table
- 24 gives some example for those non-units but is not
- normative.
-
-
-
+
+
§50 Non-units
+ ■1 Symbols commonly used as units that are no real units of measurements are not defined by The Unified Code for Units of Measure.
+ ■2 Users are free to use curly braces expressions (§12) if they think it is important to use symbols rather than the default unit 1.
+ ■3 Curly braces expressions are equivalent to the unit 1. The details of the annotations in the curly braces have no defined meaning in The Unified Code for Units of Measure.
+ ■4Table
+ 24 gives some example for those non-units but is not normative.
+
+
+
-
name
-
kind of quantity
-
print
-
c/s
-
c/i
-
M
-
definition value
-
definition unit
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
-
- Table
- 24: Examples for Non-Units
+
+
+ Table 24: Examples for Non-Units
-
particles total count
-
number
-
tot.
-
{tot}
-
-
{TOT}
-
-
no
-
-
1
-
+
particles total count
+
number
+
tot.
+
{tot}
+
+
{TOT}
+
+
no
+
+
1
+
-
tablets
-
number
-
tbl.
-
{tbl}
-
-
{TBL}
-
-
no
-
-
1
-
+
tablets
+
number
+
tbl.
+
{tbl}
+
+
{TBL}
+
+
no
+
+
1
+
-
red blood cell count
-
number
-
R.B.C.
-
{rbc}
-
-
{RBC}
-
-
no
-
-
1
-
+
red blood cell count
+
number
+
R.B.C.
+
{rbc}
+
+
{RBC}
+
+
no
+
+
1
+
-
gram meter per heartbeat
-
proportional to ventricular stroke work
-
g· m/H.B.
-
g.m/{H.B.}
-
-
G.M/{H.B.}
-
-
no
-
-
g.m
-
+
gram meter per heartbeat
+
proportional to ventricular stroke work
+
g· m/H.B.
+
g.m/{H.B.}
+
+
G.M/{H.B.}
+
+
no
+
+
g.m
+
-
gram-force meter per heartbeat
-
ventricular stroke work
-
gf· m/H.B.
-
gf.m/{H.B.}
-
-
GF.M/{H.B.}
-
-
no
-
-
gf.m
-
+
gram-force meter per heartbeat
+
ventricular stroke work
+
gf· m/H.B.
+
gf.m/{H.B.}
+
+
GF.M/{H.B.}
+
+
no
+
+
gf.m
+
-
kilogram of wet tissue
-
mass
-
kg(wet tissue)
-
kg{wet'tis}
-
-
KG{wet'tis}
-
-
no
-
-
kg
-
+
kilogram of wet tissue
+
mass
+
kg(wet tissue)
+
kg{wet'tis}
+
+
KG{wet'tis}
+
+
no
+
+
kg
+
-
milligram of creatinine
-
mass
-
mg(creat.)
-
mg{creat}
-
-
MG{creat}
-
-
no
-
-
mg
-
+
milligram of creatinine
+
mass
+
mg(creat.)
+
mg{creat}
+
+
MG{creat}
+
+
no
+
+
mg
+
-
-
- Although customarily cardiac stroke work is notated as "g.m" this is not a true unit of work. Instead one should use gram-force
- meter.
-
-
-
+
+
+ Although customarily cardiac stroke work is notated as "g.m" this is not a true unit of work. Instead one should use gram-force meter.
+
+
+
-
-
B
-
-
-
-
Summary of Conflicts
-
+
+
+ B
+
+
+
+
Summary of Conflicts
+
-
-
The Unified Code for Units of Measure is designed and maintained so that severe name conflicts do
- not occur. However, avoiding all conflicts is possible only at the
- cost of defining very unusual symbols for those units. As the Table
- 25 shows, all current conflicts are of type IVa between
- metric and nonmetric units. This means that there is only a conflict
- if the metric predicate is violated so that non-metric units are used
- with a prefix.
-
+
+
The Unified Code for Units of Measure is designed and maintained so that severe name conflicts do not occur. However, avoiding all conflicts is possible only at the cost of defining very unusual symbols for those units. As the Table
+ 25 shows, all current conflicts are of type IVa between metric and nonmetric units. This means that there is only a conflict if the metric predicate is violated so that non-metric units are used with a prefix.
+
[Schadow G, McDonald CJ et al: Units of Measure in
Clinical Information Systems. JAMIA 6(2); Mar/Apr
1999. p. 151-162.]
-
-
- Table
- 25: Summary of name conflicts
+
+
+
+ Table 25: Summary of name conflicts
-
Gb
-
G-b
-
Type IVa (metric-nonmetric)
+
Gb
+
G-b
+
Type IVa (metric-nonmetric)
-
Pa
-
P-a
-
Type IVa (metric-nonmetric)
+
Pa
+
P-a
+
Type IVa (metric-nonmetric)
-
ph
-
p-h
-
Type IVa (metric-nonmetric)
+
ph
+
p-h
+
Type IVa (metric-nonmetric)
-
cd
-
c-d
-
Type IVa (metric-nonmetric)
+
cd
+
c-d
+
Type IVa (metric-nonmetric)
-
CD
-
C-D
-
Type IVa (metric-nonmetric)
+
CD
+
C-D
+
Type IVa (metric-nonmetric)
-
-
+
+
-
-
C
-
-
-
-
Alphabetic Index
-
+
+
+ C
+
+
+
+
Alphabetic Index
+
-
-
+
+
-
-
C.1
-
-
-
-
Alphabetic Index By Name
-
+
+
+ C.1
+
+
+
+
Alphabetic Index By Name
+
-
-
+
+
-
(retired), homeopathic potency of centesimal series – homeopathic potency (retired) – [hp'_C]: §44 (retired), homeopathic potency of decimal series – homeopathic potency (retired) – [hp'_X]: §44 (retired), homeopathic potency of millesimal series – homeopathic potency (retired) – [hp'_M]: §44 (retired), homeopathic potency of quintamillesimal series – homeopathic potency (retired) – [hp'_Q]: §44 10 nanovolt, bel – electric potential level – B[10.nV]: §46 15 °C, calorie at – energy – cal_[15]: §43 20 °C, calorie at – energy – cal_[20]: §43 39 °F, British thermal unit at – energy – [Btu_39]: §43 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 59 °F, British thermal unit at – energy – [Btu_59]: §43 60 °F, British thermal unit at – energy – [Btu_60]: §43 APL unit – biologic activity of anticardiolipin IgA – [APL'U]: §45 Ambrosia artemisiifolia, allergen unit for – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 Bethesda unit – biologic activity of factor VIII inhibitor – [beth'U]: §45 Biot – electric current – Bi: §33 Bodansky unit – biologic activity of phosphatase – [bdsk'U]: §45 Boltzmann constant – (unclassified) – [k]: §32 British hundredweight – mass – [lcwt_av]: §39 British stone – mass – [stone_av]: §39 British thermal unit at 39 °F – energy – [Btu_39]: §43 British thermal unit at 59 °F – energy – [Btu_59]: §43 British thermal unit at 60 °F – energy – [Btu_60]: §43 British thermal unit – energy – [Btu]: §43 British thermal unit, international table – energy – [Btu_IT]: §43 British thermal unit, mean – energy – [Btu_m]: §43 British thermal unit, thermochemical – energy – [Btu_th]: §43 British ton – mass – [lton_av]: §39 Calories, nutrition label – energy – [Cal]: §43 Celsius, degree – temperature – Cel: §30 Charrière – gauge of catheters – [Ch]: §44 Curie – radioactivity – Ci: §33 D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 Denier – linear mass density (of textile thread) – [den]: §43 Didot's pica – length – [cicero]: §42 Didot's point – length – [didot]: §42 Dye unit – biologic activity of amylase – [dye'U]: §45 ELISA unit – arbitrary ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 Engineer's chain – length – [rch_us]: §35 Fahrenheit, degree – temperature – [degF]: §43 French foot – length – [pied]: §42 French inch – length – [pouce]: §42 French line – length – [ligne]: §42 GPL unit – biologic activity of anticardiolipin IgG – [GPL'U]: §45 Gal – acceleration – Gal: §33 Gauss – magnetic flux density – G: §33 Gilbert – magnetic tension – Gb: §33 Gregorian month, mean – time – mo_g: §31 Gregorian year, mean – time – a_g: §31 Gunter's chain – length – [ch_br]: §36 Gunter's chain – length – [ch_us]: §35 Gunter's chain, link for – length – [lk_br]: §36 Gunter's chain, link for – length – [lk_us]: §35 Hounsfield unit – x-ray attenuation – [hnsf'U]: §44 Julian month, mean – time – mo_j: §31 Julian year, mean – time – a_j: §31 Kayser – lineic number – Ky: §33 King-Armstrong unit – biologic activity of phosphatase – [ka'U]: §45 Kunkel unit – arbitrary biologic activity – [knk'U]: §45 Lagan unit, Mac – arbitrary biologic activity – [mclg'U]: §45 Lambert – brightness – Lmb: §33 Limit of flocculation – procedure defined amount of an antigen substance – [Lf]: §45 MPL unit – biologic activity of anticardiolipin IgM – [MPL'U]: §45 Mac Lagan unit – arbitrary biologic activity – [mclg'U]: §45 Maxwell – flux of magnetic induction – Mx: §33 Newtonian constant of gravitation – (unclassified) – [G]: §32 Oersted – magnetic field intensity – Oe: §33 Pharmacopeia unit, United States – arbitrary – [USP'U]: §45 Planck constant – action – [h]: §32 Poise – dynamic viscosity – P: §33 Printer's pica – length – [pca_pr]: §42 Printer's point – length – [pnt_pr]: §42 Queen Anne's wine gallon – fluid volume – [gal_us]: §37 Ramden's chain – length – [rch_us]: §35 Ramden's chain, link for – length – [rlk_us]: §35 Rankine, degree – temperature – [degR]: §43 Roentgen – ion dose – R: §33 Réaumur, degree – temperature – [degRe]: §43 Smoot – length – [smoot]: §47 Somogyi unit – biologic activity of amylase – [smgy'U]: §45 States Pharmacopeia unit, United – arbitrary – [USP'U]: §45 Stokes – kinematic viscosity – St: §33 Surveyor's chain – length – [ch_us]: §35 Svedberg unit – sedimentation coefficient – [S]: §45 Todd unit – biologic activity antistreptolysin O – [todd'U]: §45 U.S. hundredweight – mass – [scwt_av]: §39 U.S. ton – mass – [ston_av]: §39 Unit – catalytic activity – U: §45 United States Pharmacopeia unit – arbitrary – [USP'U]: §45 Wood unit – fluid resistance – [wood'U]: §44 Xa unit, anti factor – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 absorbed dose, radiation – energy dose – RAD: §33 acceleration of free fall, standard – acceleration – [g]: §32 acre – area – [acr_br]: §36 acre – area – [acr_us]: §35 allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 allergen unit – procedure defined amount of an allergen using some reference standard – [AU]: §45 allergen unit, bioequivalent – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
- dilution for 50mm sum of erythema diameters – [BAU]: §45 alloys, carat of gold – mass fraction – [car_Au]: §47 ampère – electric current – A: §30 anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 arbitary unit – arbitrary – [arb'U]: §45 arbitrary powers, the number ten for – number – 10*: §29 arbitrary powers, the number ten for – number – 10^: §29 are – area – ar: §31 artemisiifolia, allergen unit for Ambrosia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 astronomic unit – length – AU: §31 atmosphere, standard – pressure – atm: §32 atmosphere, technical – pressure – att: §47 atomic mass unit, unified – mass – u: §31 atto – prefix – a: §27 bar – pressure – bar: §31 barn – action area – b: §47 barrel – fluid volume – [bbl_us]: §37 baud – signal transmission rate – Bd: §48 becquerel – radioactivity – Bq: §30 bel 10 nanovolt – electric potential level – B[10.nV]: §46 bel kilowatt – power level – B[kW]: §46 bel microvolt – electric potential level – B[uV]: §46 bel millivolt – electric potential level – B[mV]: §46 bel sound pressure – pressure level – B[SPL]: §46 bel volt – electric potential level – B[V]: §46 bel watt – power level – B[W]: §46 bel – level – B: §46 billion, parts per – fraction – [ppb]: §29 bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
- dilution for 50mm sum of erythema diameters – [BAU]: §45 bit – amount of information – bit: §48 bit – amount of information – bit_s: §48 blood cell count, red – number – {rbc}: §50 board foot – volume – [bf_i]: §34 bushel – dry volume – [bu_us]: §37 bushel – volume – [bu_br]: §38 byte – amount of information – By: §48 calorie at 15 °C – energy – cal_[15]: §43 calorie at 20 °C – energy – cal_[20]: §43 calorie – energy – cal: §43 calorie, international table – energy – cal_IT: §43 calorie, mean – energy – cal_m: §43 calorie, thermochemical – energy – cal_th: §43 candela – luminous intensity – cd: §28 carat of gold alloys – mass fraction – [car_Au]: §47 carat, metric – mass – [car_m]: §47 cell count, red blood – number – {rbc}: §50 cell culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 centesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_C]: §44 centesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_C]: §44 centesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_C]: §44 centi – prefix – c: §27 chain, Engineer's – length – [rch_us]: §35 chain, Gunter's – length – [ch_br]: §36 chain, Gunter's – length – [ch_us]: §35 chain, Ramden's – length – [rch_us]: §35 chain, Surveyor's – length – [ch_us]: §35 chain, link for Gunter's – length – [lk_br]: §36 chain, link for Gunter's – length – [lk_us]: §35 chain, link for Ramden's – length – [rlk_us]: §35 charge, elementary – electric charge – [e]: §32 cicero – length – [cicero]: §42 circle – plane angle – circ: §47 circular mil – area – [cml_i]: §34 colony forming units – amount of a proliferating organism – [CFU]: §45 column, inch of mercury – pressure – [in_i'Hg]: §44 column, inch of water – pressure – [in_i'H2O]: §44 column, meter of mercury – pressure – m[Hg]: §44 column, meter of water – pressure – m[H2O]: §44 constant of gravitation, Newtonian – (unclassified) – [G]: §32 constant, Boltzmann – (unclassified) – [k]: §32 constant, Planck – action – [h]: §32 cord – fluid volume – [crd_us]: §37 cord – volume – [cr_i]: §34 coulomb – electric charge – C: §28 count, particles total – number – {tot}: §50 count, red blood cell – number – {rbc}: §50 creatinine, milligram of – mass – mg{creat}: §50 cubic foot – volume – [cft_i]: §34 cubic inch – volume – [cin_i]: §34 cubic yard – volume – [cyd_i]: §34 culture infectious dose, 50% cell – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 culture infectious dose, 50% tissue – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 cup – volume – [cup_us]: §37 cup, metric – volume – [cup_m]: §37 day – time – d: §31 deci – prefix – d: §27 decimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_X]: §44 decimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_X]: §44 decimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_X]: §44 degree Celsius – temperature – Cel: §30 degree Fahrenheit – temperature – [degF]: §43 degree Rankine – temperature – [degR]: §43 degree Réaumur – temperature – [degRe]: §43 degree – plane angle – deg: §31 deka – prefix – da: §27 didot – length – [didot]: §42 diopter – refraction of a lens – [diop]: §44 diopter, prism – refraction of a prism – [p'diop]: §44 dose, 50% cell culture infectious – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 dose, 50% embryo infectious – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 dose, 50% tissue culture infectious – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 dose, radiation absorbed – energy dose – RAD: §33 drachm – mass – [dr_ap]: §41 dram – mass – [dr_ap]: §41 dram – mass – [dr_av]: §39 dram, fluid – fluid volume – [fdr_us]: §37 dram, fluid – volume – [fdr_br]: §38 drop – volume – [drp]: §44 dry pint – dry volume – [dpt_us]: §37 dry quart – dry volume – [dqt_us]: §37 dyne – force – dyn: §33 electron mass – mass – [m_e]: §32 electronvolt – energy – eV: §31 elementary charge – electric charge – [e]: §32 embryo infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 equivalent man, radiation – dose equivalent – REM: §33 equivalent unit, fibrinogen – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 equivalent, metabolic – metabolic cost of physical activity – [MET]: §44 equivalents – amount of substance – eq: §45 erg – energy – erg: §33 exa – prefix – E: §27 factor Xa unit, anti – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 fall, standard acceleration of free – acceleration – [g]: §32 farad – electric capacitance – F: §30 fathom – depth of water – [fth_i]: §34 fathom – length – [fth_br]: §36 fathom – length – [fth_us]: §35 femto – prefix – f: §27 fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 field, high power – view area in microscope – [HPF]: §45 field, low power – view area in microscope – [LPF]: §45 flocculation, Limit of – procedure defined amount of an antigen substance – [Lf]: §45 fluid dram – fluid volume – [fdr_us]: §37 fluid dram – volume – [fdr_br]: §38 fluid ounce – fluid volume – [foz_us]: §37 fluid ounce – volume – [foz_br]: §38 fluid ounce, metric – fluid volume – [foz_m]: §37 focus forming units – amount of an infectious agent – [FFU]: §45 foot – length – [ft_br]: §36 foot – length – [ft_i]: §34 foot – length – [ft_us]: §35 foot, French – length – [pied]: §42 foot, board – volume – [bf_i]: §34 foot, cubic – volume – [cft_i]: §34 foot, square – area – [sft_i]: §34 force, pound – force – [lbf_av]: §32 forming units, colony – amount of a proliferating organism – [CFU]: §45 forming units, focus – amount of an infectious agent – [FFU]: §45 forming units, plaque – amount of an infectious agent – [PFU]: §45 free fall, standard acceleration of – acceleration – [g]: §32 french – gauge of catheters – [Ch]: §44 furlong – length – [fur_us]: §35 gallon – volume – [gal_br]: §38 gallon, Queen Anne's wine – fluid volume – [gal_us]: §37 gallon, historical winchester – dry volume – [gal_wi]: §37 gibi – prefix – Gi: §49 giga – prefix – G: §27 gill – fluid volume – [gil_us]: §37 gill – volume – [gil_br]: §38 gold alloys, carat of – mass fraction – [car_Au]: §47 gon – plane angle – gon: §31 grade – plane angle – gon: §31 grain – mass – [gr]: §39 gram meter per heartbeat – proportional to ventricular stroke work – g.m/{H.B.}: §50 gram percent – mass concentration – g%: §45 gram – mass – g: §28 gram-force meter per heartbeat – ventricular stroke work – gf.m/{H.B.}: §50 gram-force – force – gf: §32 gravitation, Newtonian constant of – (unclassified) – [G]: §32 gray – energy dose – Gy: §30 hahnemannian series, homeopathic potency of centesimal – homeopathic potency (Hahnemann) – [hp_C]: §44 hahnemannian series, homeopathic potency of decimal – homeopathic potency (Hahnemann) – [hp_X]: §44 hahnemannian series, homeopathic potency of millesimal – homeopathic potency (Hahnemann) – [hp_M]: §44 hahnemannian series, homeopathic potency of quintamillesimal – homeopathic potency (Hahnemann) – [hp_Q]: §44 hand – height of horses – [hd_i]: §34 heartbeat, gram meter per – proportional to ventricular stroke work – g.m/{H.B.}: §50 heartbeat, gram-force meter per – ventricular stroke work – gf.m/{H.B.}: §50 hecto – prefix – h: §27 henry – inductance – H: §30 hertz – frequency – Hz: §30 hertz, meter per square seconds per square root of – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 high power field – view area in microscope – [HPF]: §45 historical winchester gallon – dry volume – [gal_wi]: §37 homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_C]: §44 homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov) – [kp_C]: §44 homeopathic potency of centesimal series (retired) – homeopathic potency (retired) – [hp'_C]: §44 homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_X]: §44 homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov) – [kp_X]: §44 homeopathic potency of decimal series (retired) – homeopathic potency (retired) – [hp'_X]: §44 homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_M]: §44 homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov) – [kp_M]: §44 homeopathic potency of millesimal series (retired) – homeopathic potency (retired) – [hp'_M]: §44 homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_Q]: §44 homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov) – [kp_Q]: §44 homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired) – [hp'_Q]: §44 horsepower – power – [HP]: §43 hour – time – h: §31 hunderdweight, long – mass – [lcwt_av]: §39 hundredweight, British – mass – [lcwt_av]: §39 hundredweight, U.S. – mass – [scwt_av]: §39 hundredweight, short – mass – [scwt_av]: §39 inch of mercury column – pressure – [in_i'Hg]: §44 inch of water column – pressure – [in_i'H2O]: §44 inch – length – [in_br]: §36 inch – length – [in_i]: §34 inch – length – [in_us]: §35 inch, French – length – [pouce]: §42 inch, cubic – volume – [cin_i]: §34 inch, pound per sqare – pressure – [psi]: §47 inch, square – area – [sin_i]: §34 index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]: §45 infectious dose, 50% cell culture – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 infectious dose, 50% embryo – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 infectious dose, 50% tissue culture – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 international table British thermal unit – energy – [Btu_IT]: §43 international table calorie – energy – cal_IT: §43 international unit – arbitrary – [IU]: §45 international unit – arbitrary – [iU]: §45 joule – energy – J: §30 katal – catalytic activity – kat: §45 kelvin – temperature – K: §28 kibi – prefix – Ki: §49 kilo – prefix – k: §27 kilogram of wet tissue – mass – kg{wet'tis}: §50 kilowatt, bel – power level – B[kW]: §46 knot – velocity – [kn_br]: §36 knot – velocity – [kn_i]: §34 korsakovian series, homeopathic potency of centesimal – homeopathic potency (Korsakov) – [kp_C]: §44
-
-
korsakovian series, homeopathic potency of decimal – homeopathic potency (Korsakov) – [kp_X]: §44 korsakovian series, homeopathic potency of millesimal – homeopathic potency (Korsakov) – [kp_M]: §44 korsakovian series, homeopathic potency of quintamillesimal – homeopathic potency (Korsakov) – [kp_Q]: §44 label Calories, nutrition – energy – [Cal]: §43 light, velocity of – velocity – [c]: §32 light-year – length – [ly]: §32 ligne – length – [ligne]: §42 line – length – [lne]: §42 line, French – length – [ligne]: §42 link for Gunter's chain – length – [lk_br]: §36 link for Gunter's chain – length – [lk_us]: §35 link for Ramden's chain – length – [rlk_us]: §35 liter – volume – L: §31 liter – volume – l: §31 long hunderdweight – mass – [lcwt_av]: §39 long ton – mass – [lton_av]: §39 low power field – view area in microscope – [LPF]: §45 lumen – luminous flux – lm: §30 lux – illuminance – lx: §30 man, radiation equivalent – dose equivalent – REM: §33 mass unit, unified atomic – mass – u: §31 mass, electron – mass – [m_e]: §32 mass, proton – mass – [m_p]: §32 mean British thermal unit – energy – [Btu_m]: §43 mean Gregorian month – time – mo_g: §31 mean Gregorian year – time – a_g: §31 mean Julian month – time – mo_j: §31 mean Julian year – time – a_j: §31 mean calorie – energy – cal_m: §43 mebi – prefix – Mi: §49 mega – prefix – M: §27 mercury column, inch of – pressure – [in_i'Hg]: §44 mercury column, meter of – pressure – m[Hg]: §44 mesh – lineic number – [mesh_i]: §44 metabolic equivalent – metabolic cost of physical activity – [MET]: §44 meter of mercury column – pressure – m[Hg]: §44 meter of water column – pressure – m[H2O]: §44 meter per heartbeat, gram – proportional to ventricular stroke work – g.m/{H.B.}: §50 meter per heartbeat, gram-force – ventricular stroke work – gf.m/{H.B.}: §50 meter per square seconds per square root of hertz – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 meter – length – m: §28 metric carat – mass – [car_m]: §47 metric cup – volume – [cup_m]: §37 metric fluid ounce – fluid volume – [foz_m]: §37 metric ounce – mass – [oz_m]: §41 metric tablespoon – volume – [tbs_m]: §37 metric teaspoon – volume – [tsp_m]: §37 mho – electric conductance – mho: §47 micro – prefix – u: §27 microvolt, bel – electric potential level – B[uV]: §46 mil – length – [mil_i]: §34 mil – length – [mil_us]: §35 mil, circular – area – [cml_i]: §34 mile – length – [mi_br]: §36 mile – length – [mi_i]: §34 mile – length – [mi_us]: §35 mile, nautical – length – [nmi_br]: §36 mile, nautical – length – [nmi_i]: §34 mile, square – area – [smi_us]: §35 millesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_M]: §44 millesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_M]: §44 millesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_M]: §44 milli – prefix – m: §27 milligram of creatinine – mass – mg{creat}: §50 million, parts per – fraction – [ppm]: §29 millivolt, bel – electric potential level – B[mV]: §46 minim – fluid volume – [min_us]: §37 minim – volume – [min_br]: §38 minute – plane angle – ': §31 minute – time – min: §31 mole – amount of substance – mol: §30 month – time – mo: §31 month, mean Gregorian – time – mo_g: §31 month, mean Julian – time – mo_j: §31 month, synodal – time – mo_s: §31 nano – prefix – n: §27 nanovolt, bel 10 – electric potential level – B[10.nV]: §46 nautical mile – length – [nmi_br]: §36 nautical mile – length – [nmi_i]: §34 neper – level – Np: §46 newton – force – N: §30 nitrogen unit, protein – procedure defined amount of a protein substance – [PNU]: §45 number pi, the – number – [pi]: §29 number ten for arbitrary powers, the – number – 10*: §29 number ten for arbitrary powers, the – number – 10^: §29 nutrition label Calories – energy – [Cal]: §43 ohm – electric resistance – Ohm: §30 osmole – amount of substance (dissolved particles) – osm: §45 ounce – mass – [oz_ap]: §41 ounce – mass – [oz_av]: §39 ounce – mass – [oz_tr]: §40 ounce, fluid – fluid volume – [foz_us]: §37 ounce, fluid – volume – [foz_br]: §38 ounce, metric fluid – fluid volume – [foz_m]: §37 ounce, metric – mass – [oz_m]: §41 pH – acidity – [pH]: §45 pace – length – [pc_br]: §36 parsec – length – pc: §31 particles total count – number – {tot}: §50 parts per billion – fraction – [ppb]: §29 parts per million – fraction – [ppm]: §29 parts per thousand – fraction – [ppth]: §29 parts per trillion – fraction – [pptr]: §29 pascal – pressure – Pa: §30 peck – dry volume – [pk_us]: §37 peck – volume – [pk_br]: §38 pennyweight – mass – [pwt_tr]: §40 per billion, parts – fraction – [ppb]: §29 per heartbeat, gram meter – proportional to ventricular stroke work – g.m/{H.B.}: §50 per heartbeat, gram-force meter – ventricular stroke work – gf.m/{H.B.}: §50 per million, parts – fraction – [ppm]: §29 per sqare inch, pound – pressure – [psi]: §47 per square root of hertz, meter per square seconds – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per square seconds per square root of hertz, meter – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per thousand, parts – fraction – [ppth]: §29 per trillion, parts – fraction – [pptr]: §29 percent of slope – slope – %[slope]: §44 percent – fraction – %: §29 percent, gram – mass concentration – g%: §45 peripheral vascular resistance unit – fluid resistance – [PRU]: §44 permeability of vacuum – magnetic permeability – [mu_0]: §32 permittivity of vacuum – electric permittivity – [eps_0]: §32 peta – prefix – P: §27 phot – illuminance – ph: §33 pi, the number – number – [pi]: §29 pica – length – [pca]: §42 pica, Didot's – length – [cicero]: §42 pica, Printer's – length – [pca_pr]: §42 pico – prefix – p: §27 pied – length – [pied]: §42 pint – fluid volume – [pt_us]: §37 pint – volume – [pt_br]: §38 pint, dry – dry volume – [dpt_us]: §37 plaque forming units – amount of an infectious agent – [PFU]: §45 point – length – [pnt]: §42 point, Didot's – length – [didot]: §42 point, Printer's – length – [pnt_pr]: §42 potency of centesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_C]: §44 potency of centesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_C]: §44 potency of centesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_C]: §44 potency of decimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_X]: §44 potency of decimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_X]: §44 potency of decimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_X]: §44 potency of millesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_M]: §44 potency of millesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_M]: §44 potency of millesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_M]: §44 potency of quintamillesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_Q]: §44 potency of quintamillesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_Q]: §44 potency of quintamillesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_Q]: §44 pouce – length – [pouce]: §42 pound force – force – [lbf_av]: §32 pound per sqare inch – pressure – [psi]: §47 pound – mass – [lb_ap]: §41 pound – mass – [lb_av]: §39 pound – mass – [lb_tr]: §40 power field, high – view area in microscope – [HPF]: §45 power field, low – view area in microscope – [LPF]: §45 powers, the number ten for arbitrary – number – 10*: §29 powers, the number ten for arbitrary – number – 10^: §29 pressure, bel sound – pressure level – B[SPL]: §46 prism diopter – refraction of a prism – [p'diop]: §44 protein nitrogen unit – procedure defined amount of a protein substance – [PNU]: §45 proton mass – mass – [m_p]: §32 quart – fluid volume – [qt_us]: §37 quart – volume – [qt_br]: §38 quart, dry – dry volume – [dqt_us]: §37 quintamillesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_Q]: §44 quintamillesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_Q]: §44 quintamillesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_Q]: §44 radian – plane angle – rad: §28 radiation absorbed dose – energy dose – RAD: §33 radiation equivalent man – dose equivalent – REM: §33 reactivity, index of – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]:
- §45 red blood cell count – number – {rbc}: §50 resistance unit, peripheral vascular – fluid resistance – [PRU]: §44 rod – length – [rd_br]: §36 rod – length – [rd_us]: §35 rod, square – area – [srd_us]: §35 root of hertz, meter per square seconds per square – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 scruple – mass – [sc_ap]: §41 second – plane angle – '': §31 second – time – s: §28 seconds per square root of hertz, meter per square – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 section – area – [sct]: §35 series (retired), homeopathic potency of centesimal – homeopathic potency (retired) – [hp'_C]: §44 series (retired), homeopathic potency of decimal – homeopathic potency (retired) – [hp'_X]: §44 series (retired), homeopathic potency of millesimal – homeopathic potency (retired) – [hp'_M]: §44 series (retired), homeopathic potency of quintamillesimal – homeopathic potency (retired) – [hp'_Q]: §44 series, homeopathic potency of centesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_C]: §44 series, homeopathic potency of centesimal korsakovian – homeopathic potency (Korsakov) – [kp_C]: §44 series, homeopathic potency of decimal hahnemannian – homeopathic potency (Hahnemann) – [hp_X]: §44 series, homeopathic potency of decimal korsakovian – homeopathic potency (Korsakov) – [kp_X]: §44 series, homeopathic potency of millesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_M]: §44 series, homeopathic potency of millesimal korsakovian – homeopathic potency (Korsakov) – [kp_M]: §44 series, homeopathic potency of quintamillesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_Q]: §44 series, homeopathic potency of quintamillesimal korsakovian – homeopathic potency (Korsakov) – [kp_Q]: §44 short hundredweight – mass – [scwt_av]: §39 short ton – mass – [ston_av]: §39 siemens – electric conductance – S: §30 sievert – dose equivalent – Sv: §30 slope, percent of – slope – %[slope]: §44 sound pressure, bel – pressure level – B[SPL]: §46 spere – solid angle – sph: §47 sqare inch, pound per – pressure – [psi]: §47 square foot – area – [sft_i]: §34 square inch – area – [sin_i]: §34 square mile – area – [smi_us]: §35 square rod – area – [srd_us]: §35 square root of hertz, meter per square seconds per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square seconds per square root of hertz, meter per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square yard – area – [syd_i]: §34 standard acceleration of free fall – acceleration – [g]: §32 standard atmosphere – pressure – atm: §32 steradian – solid angle – sr: §30 stere – volume – st: §47 stilb – lum. intensity density – sb: §33 stone – mass – [stone_av]: §39 stone, British – mass – [stone_av]: §39 synodal month – time – mo_s: §31 table British thermal unit, international – energy – [Btu_IT]: §43 table calorie, international – energy – cal_IT: §43 tablespoon – volume – [tbs_us]: §37 tablespoon, metric – volume – [tbs_m]: §37 tablets – number – {tbl}: §50 teaspoon – volume – [tsp_us]: §37 teaspoon, metric – volume – [tsp_m]: §37 tebi – prefix – Ti: §49 technical atmosphere – pressure – att: §47 ten for arbitrary powers, the number – number – 10*: §29 ten for arbitrary powers, the number – number – 10^: §29 tera – prefix – T: §27 tesla – magnetic flux density – T: §30 tex – linear mass density (of textile thread) – tex: §43 thermal unit at 39 °F, British – energy – [Btu_39]: §43 thermal unit at 59 °F, British – energy – [Btu_59]: §43 thermal unit at 60 °F, British – energy – [Btu_60]: §43 thermal unit, British – energy – [Btu]: §43 thermal unit, international table British – energy – [Btu_IT]: §43 thermal unit, mean British – energy – [Btu_m]: §43 thermal unit, thermochemical British – energy – [Btu_th]: §43 thermochemical British thermal unit – energy – [Btu_th]: §43 thermochemical calorie – energy – cal_th: §43 thousand, parts per – fraction – [ppth]: §29 tissue culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 tissue, kilogram of wet – mass – kg{wet'tis}: §50 ton, British – mass – [lton_av]: §39 ton, U.S. – mass – [ston_av]: §39 ton, long – mass – [lton_av]: §39 ton, short – mass – [ston_av]: §39 tonne – mass – t: §31 total count, particles – number – {tot}: §50 township – area – [twp]: §35 trillion, parts per – fraction – [pptr]: §29 tropical year – time – a_t: §31 tuberculin unit – biologic activity of tuberculin – [tb'U]: §45 unified atomic mass unit – mass – u: §31 unit at 39 °F, British thermal – energy – [Btu_39]: §43 unit at 59 °F, British thermal – energy – [Btu_59]: §43 unit at 60 °F, British thermal – energy – [Btu_60]: §43 unit for Ambrosia artemisiifolia, allergen – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 unit, APL – biologic activity of anticardiolipin IgA – [APL'U]: §45 unit, Bethesda – biologic activity of factor VIII inhibitor – [beth'U]: §45 unit, Bodansky – biologic activity of phosphatase – [bdsk'U]: §45 unit, British thermal – energy – [Btu]: §43 unit, D-antigen – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 unit, Dye – biologic activity of amylase – [dye'U]: §45 unit, ELISA – arbitrary ELISA unit – [ELU]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit, GPL – biologic activity of anticardiolipin IgG – [GPL'U]: §45 unit, Hounsfield – x-ray attenuation – [hnsf'U]: §44 unit, King-Armstrong – biologic activity of phosphatase – [ka'U]: §45 unit, Kunkel – arbitrary biologic activity – [knk'U]: §45 unit, MPL – biologic activity of anticardiolipin IgM – [MPL'U]: §45 unit, Mac Lagan – arbitrary biologic activity – [mclg'U]: §45 unit, Somogyi – biologic activity of amylase – [smgy'U]: §45 unit, Svedberg – sedimentation coefficient – [S]: §45 unit, Todd – biologic activity antistreptolysin O – [todd'U]: §45 unit, United States Pharmacopeia – arbitrary – [USP'U]: §45 unit, Wood – fluid resistance – [wood'U]: §44 unit, allergen – procedure defined amount of an allergen using some reference standard – [AU]: §45 unit, anti factor Xa – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 unit, arbitary – arbitrary – [arb'U]: §45 unit, astronomic – length – AU: §31 unit, bioequivalent allergen – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
- dilution for 50mm sum of erythema diameters – [BAU]: §45 unit, fibrinogen equivalent – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 unit, international table British thermal – energy – [Btu_IT]: §43 unit, international – arbitrary – [IU]: §45 unit, international – arbitrary – [iU]: §45 unit, mean British thermal – energy – [Btu_m]: §43 unit, peripheral vascular resistance – fluid resistance – [PRU]: §44 unit, protein nitrogen – procedure defined amount of a protein substance – [PNU]: §45 unit, thermochemical British thermal – energy – [Btu_th]: §43 unit, tuberculin – biologic activity of tuberculin – [tb'U]: §45 unit, unified atomic mass – mass – u: §31 units, colony forming – amount of a proliferating organism – [CFU]: §45 units, focus forming – amount of an infectious agent – [FFU]: §45 units, plaque forming – amount of an infectious agent – [PFU]: §45 vacuum, permeability of – magnetic permeability – [mu_0]: §32 vacuum, permittivity of – electric permittivity – [eps_0]: §32 vascular resistance unit, peripheral – fluid resistance – [PRU]: §44 velocity of light – velocity – [c]: §32 volt – electric potential – V: §30 volt, bel – electric potential level – B[V]: §46 water column, inch of – pressure – [in_i'H2O]: §44 water column, meter of – pressure – m[H2O]: §44 watt – power – W: §30 watt, bel – power level – B[W]: §46 weber – magnetic flux – Wb: §30 week – time – wk: §31 wet tissue, kilogram of – mass – kg{wet'tis}: §50 winchester gallon, historical – dry volume – [gal_wi]: §37 wine gallon, Queen Anne's – fluid volume – [gal_us]: §37 yard – length – [yd_br]: §36 yard – length – [yd_i]: §34 yard – length – [yd_us]: §35 yard, cubic – volume – [cyd_i]: §34 yard, square – area – [syd_i]: §34 year – time – a: §31 year, mean Gregorian – time – a_g: §31 year, mean Julian – time – a_j: §31 year, tropical – time – a_t: §31 yocto – prefix – y: §27 yotta – prefix – Y: §27 zepto – prefix – z: §27 zetta – prefix – Z: §27 Ångström – length – Ao: §47
+
(retired), homeopathic potency of centesimal series – homeopathic potency (retired) – [hp'_C]: §44 (retired), homeopathic potency of decimal series – homeopathic potency (retired) – [hp'_X]:
+ §44 (retired), homeopathic potency of millesimal series – homeopathic potency (retired) – [hp'_M]: §44 (retired), homeopathic potency of quintamillesimal
+ series – homeopathic potency (retired) – [hp'_Q]: §44 10 nanovolt, bel – electric potential level – B[10.nV]: §46 15 °C, calorie at – energy –
+ cal_[15]: §43 20 °C, calorie at – energy – cal_[20]: §43 39 °F, British thermal unit at – energy – [Btu_39]: §43 50%
+ cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 50% embryo infectious dose – biologic activity (infectivity) of an infectious
+ agent preparation – [EID_50]: §45 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 59 °F,
+ British thermal unit at – energy – [Btu_59]: §43 60 °F, British thermal unit at – energy – [Btu_60]: §43 APL unit – biologic activity of anticardiolipin
+ IgA – [APL'U]: §45 Ambrosia artemisiifolia, allergen unit for – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 Bethesda
+ unit – biologic activity of factor VIII inhibitor – [beth'U]: §45 Biot – electric current – Bi: §33 Bodansky unit – biologic activity of phosphatase
+ – [bdsk'U]: §45 Boltzmann constant – (unclassified) – [k]: §32 British hundredweight – mass – [lcwt_av]: §39 British
+ stone – mass – [stone_av]: §39 British thermal unit at 39 °F – energy – [Btu_39]: §43 British thermal unit at 59 °F – energy – [Btu_59]:
+ §43 British thermal unit at 60 °F – energy – [Btu_60]: §43 British thermal unit – energy – [Btu]: §43 British
+ thermal unit, international table – energy – [Btu_IT]: §43 British thermal unit, mean – energy – [Btu_m]: §43 British thermal unit, thermochemical
+ – energy – [Btu_th]: §43 British ton – mass – [lton_av]: §39 Calories, nutrition label – energy – [Cal]: §43 Celsius,
+ degree – temperature – Cel: §30 Charrière – gauge of catheters – [Ch]: §44 Curie – radioactivity – Ci: §33 D-antigen
+ unit – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 Denier – linear mass density (of textile thread) – [den]: §43 Didot's
+ pica – length – [cicero]: §42 Didot's point – length – [didot]: §42 Dye unit – biologic activity of amylase – [dye'U]: §45 ELISA
+ unit – arbitrary ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 Engineer's chain – length – [rch_us]: §35 Fahrenheit,
+ degree – temperature – [degF]: §43 French foot – length – [pied]: §42 French inch – length – [pouce]: §42 French
+ line – length – [ligne]: §42 GPL unit – biologic activity of anticardiolipin IgG – [GPL'U]: §45 Gal – acceleration – Gal: §33 Gauss
+ – magnetic flux density – G: §33 Gilbert – magnetic tension – Gb: §33 Gregorian month, mean – time – mo_g: §31 Gregorian
+ year, mean – time – a_g: §31 Gunter's chain – length – [ch_br]: §36 Gunter's chain – length – [ch_us]: §35 Gunter's
+ chain, link for – length – [lk_br]: §36 Gunter's chain, link for – length – [lk_us]: §35 Hounsfield unit – x-ray attenuation – [hnsf'U]: §44 Julian month, mean – time – mo_j: §31 Julian year, mean – time – a_j: §31 Kayser – lineic number – Ky: §33 King-Armstrong unit – biologic activity of phosphatase – [ka'U]: §45 Kunkel unit – arbitrary biologic activity – [knk'U]: §45 Lagan
+ unit, Mac – arbitrary biologic activity – [mclg'U]: §45 Lambert – brightness – Lmb: §33 Limit of flocculation – procedure defined amount of an antigen
+ substance – [Lf]: §45 MPL unit – biologic activity of anticardiolipin IgM – [MPL'U]: §45 Mac Lagan unit – arbitrary biologic activity – [mclg'U]:
+ §45 Maxwell – flux of magnetic induction – Mx: §33 Newtonian constant of gravitation – (unclassified) – [G]: §32 Oersted – magnetic field intensity
+ – Oe: §33 Pharmacopeia unit, United States – arbitrary – [USP'U]: §45 Planck constant – action – [h]: §32 Poise
+ – dynamic viscosity – P: §33 Printer's pica – length – [pca_pr]: §42 Printer's point – length – [pnt_pr]: §42 Queen Anne's
+ wine gallon – fluid volume – [gal_us]: §37 Ramden's chain – length – [rch_us]: §35 Ramden's chain, link for – length – [rlk_us]: §35 Rankine, degree – temperature – [degR]: §43 Roentgen – ion dose – R: §33 Réaumur, degree – temperature – [degRe]:
+ §43 Smoot – length – [smoot]: §47 Somogyi unit – biologic activity of amylase – [smgy'U]: §45 States Pharmacopeia unit, United – arbitrary
+ – [USP'U]: §45 Stokes – kinematic viscosity – St: §33 Surveyor's chain – length – [ch_us]: §35 Svedberg
+ unit – sedimentation coefficient – [S]: §45 Todd unit – biologic activity antistreptolysin O – [todd'U]: §45 U.S. hundredweight – mass – [scwt_av]:
+ §39 U.S. ton – mass – [ston_av]: §39 Unit – catalytic activity – U: §45 United States Pharmacopeia
+ unit – arbitrary – [USP'U]: §45 Wood unit – fluid resistance – [wood'U]: §44 Xa unit, anti factor – biologic activity of factor Xa inhibitor
+ (heparin) – [anti'Xa'U]: §45 absorbed dose, radiation – energy dose – RAD: §33 acceleration of free fall, standard – acceleration – [g]:
+ §32 acre – area – [acr_br]: §36 acre – area – [acr_us]: §35 allergen unit for Ambrosia artemisiifolia – procedure defined amount of
+ the major allergen of ragweed. – [Amb'a'1'U]: §45 allergen unit – procedure defined amount of an allergen using some reference standard – [AU]: §45 allergen
+ unit, bioequivalent – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]: §45 alloys,
+ carat of gold – mass fraction – [car_Au]: §47 ampère – electric current – A: §30 anti factor Xa unit – biologic activity of factor Xa inhibitor
+ (heparin) – [anti'Xa'U]: §45 arbitary unit – arbitrary – [arb'U]: §45 arbitrary powers, the number ten for – number – 10*: §29 arbitrary powers, the number ten for – number – 10^: §29 are – area – ar: §31 artemisiifolia, allergen unit
+ for Ambrosia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 astronomic unit – length – AU: §31 atmosphere,
+ standard – pressure – atm: §32 atmosphere, technical – pressure – att: §47 atomic mass unit, unified – mass – u: §31 atto
+ – prefix – a: §27 bar – pressure – bar: §31 barn – action area – b: §47 barrel – fluid volume
+ – [bbl_us]:
+ §37 baud – signal transmission rate – Bd: §48 becquerel – radioactivity – Bq: §30 bel 10 nanovolt
+ – electric potential level – B[10.nV]: §46 bel kilowatt – power level – B[kW]: §46 bel microvolt – electric potential level – B[uV]:
+ §46 bel millivolt – electric potential level – B[mV]: §46 bel sound pressure – pressure level – B[SPL]: §46 bel volt – electric
+ potential level – B[V]:
+ §46 bel watt – power level – B[W]: §46 bel – level – B: §46 billion, parts per – fraction
+ – [ppb]:
+ §29 bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters
+ – [BAU]: §45 bit – amount of information – bit: §48 bit – amount of information – bit_s: §48 blood
+ cell count, red – number – {rbc}: §50 board foot – volume – [bf_i]: §34 bushel – dry volume – [bu_us]: §37 bushel
+ – volume – [bu_br]: §38 byte – amount of information – By: §48 calorie at 15 °C – energy – cal_[15]: §43 calorie
+ at 20 °C – energy – cal_[20]: §43 calorie – energy – cal: §43 calorie, international table – energy – cal_IT: §43 calorie, mean – energy – cal_m:
+ §43 calorie, thermochemical – energy – cal_th: §43 candela – luminous intensity – cd: §28 carat
+ of gold alloys – mass fraction – [car_Au]: §47 carat, metric – mass – [car_m]: §47 cell count, red blood – number – {rbc}: §50 cell culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 centesimal hahnemannian series,
+ homeopathic potency of – homeopathic potency (Hahnemann) – [hp_C]: §44 centesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_C]: §44 centesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_C]: §44 centi – prefix – c: §27 chain,
+ Engineer's – length – [rch_us]: §35 chain, Gunter's – length – [ch_br]: §36 chain, Gunter's – length – [ch_us]: §35 chain, Ramden's – length – [rch_us]: §35 chain, Surveyor's – length – [ch_us]: §35 chain, link for Gunter's
+ – length – [lk_br]: §36 chain, link for Gunter's – length – [lk_us]: §35 chain, link for Ramden's – length – [rlk_us]: §35 charge, elementary – electric charge – [e]: §32 cicero – length – [cicero]: §42 circle – plane angle – circ:
+ §47 circular mil – area – [cml_i]: §34 colony forming units – amount of a proliferating organism – [CFU]: §45 column,
+ inch of mercury – pressure – [in_i'Hg]:
+ §44 column, inch of water – pressure – [in_i'H2O]: §44 column, meter of mercury – pressure – m[Hg]: §44 column,
+ meter of water – pressure – m[H2O]: §44 constant of gravitation, Newtonian – (unclassified) – [G]: §32 constant, Boltzmann – (unclassified)
+ – [k]: §32 constant, Planck – action – [h]: §32 cord – fluid volume – [crd_us]: §37 cord
+ – volume – [cr_i]: §34 coulomb – electric charge – C: §28 count, particles total – number – {tot}: §50 count,
+ red blood cell – number – {rbc}: §50 creatinine, milligram of – mass – mg{creat}: §50 cubic foot – volume – [cft_i]: §34 cubic inch – volume – [cin_i]: §34 cubic yard – volume – [cyd_i]: §34 culture infectious dose, 50% cell
+ – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 culture infectious dose, 50% tissue – biologic activity (infectivity) of an infectious
+ agent preparation – [TCID_50]: §45 cup – volume – [cup_us]: §37 cup, metric – volume – [cup_m]: §37 day
+ – time – d: §31 deci – prefix – d: §27 decimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_X]:
+ §44 decimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_X]: §44 decimal series (retired), homeopathic
+ potency of – homeopathic potency (retired) – [hp'_X]: §44 degree Celsius – temperature – Cel: §30 degree Fahrenheit – temperature –
+ [degF]: §43 degree Rankine – temperature – [degR]: §43 degree Réaumur – temperature – [degRe]: §43 degree
+ – plane angle – deg: §31 deka – prefix – da: §27 didot – length – [didot]: §42 diopter –
+ refraction of a lens – [diop]: §44 diopter, prism – refraction of a prism – [p'diop]: §44 dose, 50% cell culture infectious – biologic
+ activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 dose, 50% embryo infectious – biologic activity (infectivity) of an infectious agent preparation –
+ [EID_50]: §45 dose, 50% tissue culture infectious – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 dose,
+ radiation absorbed – energy dose – RAD: §33 drachm – mass – [dr_ap]: §41 dram – mass – [dr_ap]: §41 dram
+ – mass – [dr_av]: §39 dram, fluid – fluid volume – [fdr_us]: §37 dram, fluid – volume – [fdr_br]: §38 drop
+ – volume – [drp]: §44 dry pint – dry volume – [dpt_us]: §37 dry quart – dry volume – [dqt_us]: §37 dyne
+ – force – dyn: §33 electron mass – mass – [m_e]: §32 electronvolt – energy – eV: §31 elementary
+ charge – electric charge – [e]: §32 embryo infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 equivalent
+ man, radiation – dose equivalent – REM: §33 equivalent unit, fibrinogen – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 equivalent,
+ metabolic – metabolic cost of physical activity – [MET]: §44 equivalents – amount of substance – eq: §45 erg – energy – erg: §33 exa – prefix – E: §27 factor Xa unit, anti – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 fall,
+ standard acceleration of free – acceleration – [g]: §32 farad – electric capacitance – F: §30 fathom – depth of water – [fth_i]:
+ §34 fathom – length – [fth_br]: §36 fathom – length – [fth_us]: §35 femto – prefix – f: §27 fibrinogen
+ equivalent unit – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 field, high power – view area in microscope – [HPF]: §45 field,
+ low power – view area in microscope – [LPF]: §45 flocculation, Limit of – procedure defined amount of an antigen substance – [Lf]: §45 fluid
+ dram – fluid volume – [fdr_us]: §37 fluid dram – volume – [fdr_br]: §38 fluid ounce – fluid volume – [foz_us]: §37 fluid ounce – volume – [foz_br]: §38 fluid ounce, metric – fluid volume – [foz_m]: §37 focus forming
+ units – amount of an infectious agent – [FFU]: §45 foot – length – [ft_br]: §36 foot – length – [ft_i]: §34 foot
+ – length – [ft_us]: §35 foot, French – length – [pied]: §42 foot, board – volume – [bf_i]: §34 foot,
+ cubic – volume – [cft_i]: §34 foot, square – area – [sft_i]: §34 force, pound – force – [lbf_av]: §32 forming
+ units, colony – amount of a proliferating organism – [CFU]: §45 forming units, focus – amount of an infectious agent – [FFU]: §45 forming
+ units, plaque – amount of an infectious agent – [PFU]: §45 free fall, standard acceleration of – acceleration – [g]: §32 french
+ – gauge of catheters – [Ch]: §44 furlong – length – [fur_us]: §35 gallon – volume – [gal_br]: §38 gallon,
+ Queen Anne's wine – fluid volume – [gal_us]: §37 gallon, historical winchester – dry volume – [gal_wi]: §37 gibi – prefix
+ – Gi: §49 giga – prefix – G: §27 gill – fluid volume – [gil_us]: §37 gill – volume –
+ [gil_br]: §38 gold alloys, carat of – mass fraction – [car_Au]: §47 gon – plane angle – gon: §31 grade
+ – plane angle – gon: §31 grain – mass – [gr]: §39 gram meter per heartbeat – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50 gram percent – mass concentration – g%: §45 gram – mass – g: §28 gram-force meter
+ per heartbeat – ventricular stroke work – gf.m/{H.B.}: §50 gram-force – force – gf: §32 gravitation, Newtonian constant of – (unclassified)
+ – [G]: §32 gray – energy dose – Gy: §30 hahnemannian series, homeopathic potency of centesimal – homeopathic potency (Hahnemann)
+ – [hp_C]: §44 hahnemannian series, homeopathic potency of decimal – homeopathic potency (Hahnemann) – [hp_X]: §44 hahnemannian
+ series, homeopathic potency of millesimal – homeopathic potency (Hahnemann) – [hp_M]:
+ §44 hahnemannian series, homeopathic potency of quintamillesimal – homeopathic potency (Hahnemann) – [hp_Q]: §44 hand – height
+ of horses – [hd_i]: §34 heartbeat, gram meter per – proportional to ventricular stroke work – g.m/{H.B.}: §50 heartbeat, gram-force
+ meter per – ventricular stroke work – gf.m/{H.B.}: §50 hecto – prefix – h: §27 henry – inductance – H: §30 hertz
+ – frequency – Hz: §30 hertz, meter per square seconds per square root of – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 high
+ power field – view area in microscope – [HPF]: §45 historical winchester gallon – dry volume – [gal_wi]: §37 homeopathic potency
+ of centesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_C]: §44 homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov) –
+ [kp_C]: §44 homeopathic potency of centesimal series (retired) – homeopathic potency (retired) – [hp'_C]: §44 homeopathic potency
+ of decimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_X]:
+ §44 homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov) – [kp_X]: §44 homeopathic potency of decimal
+ series (retired) – homeopathic potency (retired) – [hp'_X]: §44 homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_M]: §44 homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov) – [kp_M]: §44 homeopathic potency of millesimal series (retired)
+ – homeopathic potency (retired) – [hp'_M]:
+ §44 homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_Q]: §44 homeopathic potency
+ of quintamillesimal korsakovian series – homeopathic potency (Korsakov) – [kp_Q]: §44 homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired)
+ – [hp'_Q]: §44 horsepower – power – [HP]: §43 hour – time – h: §31 hunderdweight, long
+ – mass – [lcwt_av]: §39 hundredweight, British – mass – [lcwt_av]: §39 hundredweight, U.S. – mass – [scwt_av]: §39 hundredweight, short – mass – [scwt_av]: §39 inch of mercury column – pressure – [in_i'Hg]: §44 inch
+ of water column – pressure – [in_i'H2O]: §44 inch – length – [in_br]: §36 inch – length – [in_i]: §34 inch
+ – length – [in_us]: §35 inch, French – length – [pouce]: §42 inch, cubic – volume – [cin_i]: §34 inch,
+ pound per sqare – pressure – [psi]: §47 inch, square – area – [sin_i]: §34 index of reactivity – amount of an allergen callibrated
+ through in-vivo testing using the Stallergenes® method. – [IR]: §45 infectious dose, 50% cell culture – biologic activity (infectivity) of an infectious agent preparation
+ – [CCID_50]: §45 infectious dose, 50% embryo – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 infectious
+ dose, 50% tissue culture – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 international table British thermal unit – energy – [Btu_IT]:
+ §43 international table calorie – energy – cal_IT: §43 international unit – arbitrary – [IU]: §45 international
+ unit – arbitrary – [iU]: §45 joule – energy – J: §30 katal – catalytic activity – kat: §45 kelvin
+ – temperature – K: §28 kibi – prefix – Ki: §49 kilo – prefix – k: §27 kilogram of wet
+ tissue – mass – kg{wet'tis}:
+ §50 kilowatt, bel – power level – B[kW]: §46 knot – velocity – [kn_br]: §36 knot – velocity
+ – [kn_i]:
+ §34 korsakovian series, homeopathic potency of centesimal – homeopathic potency (Korsakov) – [kp_C]: §44
+
+
korsakovian series, homeopathic potency of decimal – homeopathic potency (Korsakov) – [kp_X]: §44 korsakovian series, homeopathic potency of millesimal – homeopathic potency (Korsakov) – [kp_M]:
+ §44 korsakovian series, homeopathic potency of quintamillesimal – homeopathic potency (Korsakov) – [kp_Q]: §44 label Calories, nutrition – energy –
+ [Cal]: §43 light, velocity of – velocity – [c]: §32 light-year – length – [ly]: §32 ligne – length – [ligne]:
+ §42 line – length – [lne]: §42 line, French – length – [ligne]: §42 link for Gunter's chain – length – [lk_br]:
+ §36 link for Gunter's chain – length – [lk_us]: §35 link for Ramden's chain – length – [rlk_us]: §35 liter
+ – volume – L: §31 liter – volume – l: §31 long hunderdweight – mass – [lcwt_av]: §39 long ton – mass – [lton_av]:
+ §39 low power field – view area in microscope – [LPF]: §45 lumen – luminous flux – lm: §30 lux – illuminance
+ – lx: §30 man, radiation equivalent – dose equivalent – REM: §33 mass unit, unified atomic – mass – u: §31 mass,
+ electron – mass – [m_e]: §32 mass, proton – mass – [m_p]: §32 mean British thermal unit – energy – [Btu_m]: §43 mean
+ Gregorian month – time – mo_g: §31 mean Gregorian year – time – a_g: §31 mean Julian month – time – mo_j: §31 mean
+ Julian year – time – a_j: §31 mean calorie – energy – cal_m: §43 mebi – prefix – Mi: §49 mega – prefix –
+ M: §27 mercury column, inch of – pressure – [in_i'Hg]: §44 mercury column, meter of – pressure – m[Hg]: §44 mesh
+ – lineic number – [mesh_i]: §44 metabolic equivalent – metabolic cost of physical activity – [MET]: §44 meter of mercury column – pressure – m[Hg]:
+ §44 meter of water column – pressure – m[H2O]: §44 meter per heartbeat, gram – proportional to ventricular stroke work – g.m/{H.B.}: §50 meter per heartbeat, gram-force – ventricular stroke work – gf.m/{H.B.}: §50 meter per square seconds per square root of hertz – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47 meter – length – m: §28 metric carat – mass – [car_m]: §47 metric cup – volume – [cup_m]: §37 metric fluid ounce – fluid volume – [foz_m]: §37 metric ounce – mass – [oz_m]: §41 metric tablespoon – volume – [tbs_m]:
+ §37 metric teaspoon – volume – [tsp_m]: §37 mho – electric conductance – mho: §47 micro – prefix – u:
+ §27 microvolt, bel – electric potential level – B[uV]: §46 mil – length – [mil_i]: §34 mil – length – [mil_us]:
+ §35 mil, circular – area – [cml_i]: §34 mile – length – [mi_br]: §36 mile – length – [mi_i]: §34 mile – length – [mi_us]: §35 mile, nautical – length – [nmi_br]: §36 mile, nautical – length – [nmi_i]: §34 mile, square – area – [smi_us]: §35 millesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_M]: §44 millesimal
+ korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_M]: §44 millesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_M]: §44 milli – prefix – m: §27 milligram of creatinine – mass – mg{creat}: §50 million, parts per – fraction – [ppm]: §29 millivolt, bel – electric potential level – B[mV]: §46 minim – fluid volume – [min_us]: §37 minim – volume – [min_br]:
+ §38 minute – plane angle – ': §31 minute – time – min: §31 mole – amount of substance – mol: §30 month – time – mo: §31 month, mean Gregorian – time – mo_g: §31 month, mean Julian – time – mo_j: §31 month,
+ synodal – time – mo_s: §31 nano – prefix – n: §27 nanovolt, bel 10 – electric potential level – B[10.nV]:
+ §46 nautical mile – length – [nmi_br]: §36 nautical mile – length – [nmi_i]: §34 neper – level – Np: §46 newton – force – N: §30 nitrogen unit, protein – procedure defined amount of a protein substance – [PNU]: §45 number pi,
+ the – number – [pi]: §29 number ten for arbitrary powers, the – number – 10*: §29 number ten for arbitrary powers, the – number – 10^: §29 nutrition label Calories – energy – [Cal]: §43 ohm – electric resistance – Ohm: §30 osmole – amount of substance (dissolved
+ particles) – osm: §45 ounce – mass – [oz_ap]: §41 ounce – mass – [oz_av]: §39 ounce – mass – [oz_tr]:
+ §40 ounce, fluid – fluid volume – [foz_us]: §37 ounce, fluid – volume – [foz_br]: §38 ounce, metric fluid – fluid volume – [foz_m]: §37 ounce, metric – mass – [oz_m]: §41 pH – acidity – [pH]: §45 pace – length – [pc_br]: §36 parsec
+ – length – pc: §31 particles total count – number – {tot}: §50 parts per billion – fraction – [ppb]: §29 parts
+ per million – fraction – [ppm]: §29 parts per thousand – fraction – [ppth]: §29 parts per trillion – fraction – [pptr]: §29 pascal
+ – pressure – Pa: §30 peck – dry volume – [pk_us]: §37 peck – volume – [pk_br]: §38 pennyweight – mass
+ – [pwt_tr]: §40 per billion, parts – fraction – [ppb]: §29 per heartbeat, gram meter – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50 per heartbeat, gram-force meter – ventricular stroke work – gf.m/{H.B.}: §50 per million, parts – fraction – [ppm]: §29 per
+ sqare inch, pound – pressure – [psi]: §47 per square root of hertz, meter per square seconds – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per
+ square seconds per square root of hertz, meter – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per thousand, parts – fraction – [ppth]: §29 per
+ trillion, parts – fraction – [pptr]: §29 percent of slope – slope – %[slope]: §44 percent – fraction – %:
+ §29 percent, gram – mass concentration – g%: §45 peripheral vascular resistance unit – fluid resistance – [PRU]: §44 permeability
+ of vacuum – magnetic permeability – [mu_0]: §32 permittivity of vacuum – electric permittivity – [eps_0]: §32 peta – prefix – P: §27 phot – illuminance – ph: §33 pi, the number – number – [pi]: §29 pica – length – [pca]: §42 pica,
+ Didot's – length – [cicero]: §42 pica, Printer's – length – [pca_pr]: §42 pico – prefix – p: §27 pied
+ – length – [pied]: §42 pint – fluid volume – [pt_us]: §37 pint – volume – [pt_br]: §38 pint, dry – dry
+ volume – [dpt_us]: §37 plaque forming units – amount of an infectious agent – [PFU]: §45 point – length – [pnt]: §42 point,
+ Didot's – length – [didot]: §42 point, Printer's – length – [pnt_pr]: §42 potency of centesimal hahnemannian series, homeopathic – homeopathic
+ potency (Hahnemann) – [hp_C]: §44 potency of centesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_C]: §44 potency
+ of centesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_C]: §44 potency of decimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_X]:
+ §44 potency of decimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_X]: §44 potency of decimal series (retired), homeopathic
+ – homeopathic potency (retired) – [hp'_X]: §44 potency of millesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_M]: §44 potency
+ of millesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_M]: §44 potency of millesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_M]:
+ §44 potency of quintamillesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44 potency of quintamillesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_Q]: §44 potency of quintamillesimal series
+ (retired), homeopathic – homeopathic potency (retired) – [hp'_Q]: §44 pouce – length – [pouce]: §42 pound force – force – [lbf_av]:
+ §32 pound per sqare inch – pressure – [psi]: §47 pound – mass – [lb_ap]: §41 pound – mass – [lb_av]:
+ §39 pound – mass – [lb_tr]: §40 power field, high – view area in microscope – [HPF]: §45 power field,
+ low – view area in microscope – [LPF]: §45 powers, the number ten for arbitrary – number – 10*: §29 powers, the number ten for arbitrary – number
+ – 10^: §29 pressure, bel sound – pressure level – B[SPL]: §46 prism diopter – refraction of a prism – [p'diop]: §44 protein
+ nitrogen unit – procedure defined amount of a protein substance – [PNU]: §45 proton mass – mass – [m_p]: §32 quart – fluid volume – [qt_us]:
+ §37 quart – volume – [qt_br]: §38 quart, dry – dry volume – [dqt_us]: §37 quintamillesimal hahnemannian series, homeopathic potency of –
+ homeopathic potency (Hahnemann) – [hp_Q]: §44 quintamillesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_Q]: §44 quintamillesimal
+ series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_Q]: §44 radian – plane angle – rad: §28 radiation absorbed
+ dose – energy dose – RAD: §33 radiation equivalent man – dose equivalent – REM: §33 reactivity, index of – amount of an allergen callibrated
+ through in-vivo testing using the Stallergenes® method. – [IR]:
+ §45 red blood cell count – number – {rbc}: §50 resistance unit, peripheral vascular – fluid resistance – [PRU]: §44 rod
+ – length – [rd_br]: §36 rod – length – [rd_us]: §35 rod, square – area – [srd_us]: §35 root of hertz,
+ meter per square seconds per square – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 scruple – mass – [sc_ap]: §41 second – plane angle
+ – '': §31 second – time – s: §28 seconds per square root of hertz, meter per square – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47 section – area – [sct]: §35 series (retired), homeopathic potency of centesimal – homeopathic potency (retired) – [hp'_C]: §44 series (retired), homeopathic potency of decimal – homeopathic potency (retired) – [hp'_X]: §44 series (retired), homeopathic potency of millesimal – homeopathic
+ potency (retired) – [hp'_M]: §44 series (retired), homeopathic potency of quintamillesimal – homeopathic potency (retired) – [hp'_Q]: §44 series,
+ homeopathic potency of centesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_C]: §44 series, homeopathic potency of centesimal korsakovian – homeopathic potency (Korsakov)
+ – [kp_C]: §44 series, homeopathic potency of decimal hahnemannian – homeopathic potency (Hahnemann) – [hp_X]: §44 series, homeopathic potency
+ of decimal korsakovian – homeopathic potency (Korsakov) – [kp_X]: §44 series, homeopathic potency of millesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_M]: §44 series, homeopathic potency of millesimal korsakovian – homeopathic potency (Korsakov) – [kp_M]: §44 series, homeopathic potency of quintamillesimal hahnemannian
+ – homeopathic potency (Hahnemann) – [hp_Q]: §44 series, homeopathic potency of quintamillesimal korsakovian – homeopathic potency (Korsakov) – [kp_Q]: §44 short
+ hundredweight – mass – [scwt_av]: §39 short ton – mass – [ston_av]: §39 siemens – electric conductance – S: §30 sievert
+ – dose equivalent – Sv: §30 slope, percent of – slope – %[slope]: §44 sound pressure, bel – pressure level – B[SPL]: §46 spere
+ – solid angle – sph: §47 sqare inch, pound per – pressure – [psi]: §47 square foot – area – [sft_i]:
+ §34 square inch – area – [sin_i]: §34 square mile – area – [smi_us]: §35 square rod – area – [srd_us]:
+ §35 square root of hertz, meter per square seconds per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square seconds per square root of
+ hertz, meter per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square yard – area – [syd_i]: §34 standard acceleration of free fall –
+ acceleration – [g]: §32 standard atmosphere – pressure – atm: §32 steradian – solid angle – sr: §30 stere
+ – volume – st: §47 stilb – lum. intensity density – sb: §33 stone – mass – [stone_av]: §39 stone,
+ British – mass – [stone_av]:
+ §39 synodal month – time – mo_s: §31 table British thermal unit, international – energy – [Btu_IT]: §43 table
+ calorie, international – energy – cal_IT: §43 tablespoon – volume – [tbs_us]: §37 tablespoon, metric – volume – [tbs_m]: §37 tablets – number – {tbl}: §50 teaspoon – volume – [tsp_us]: §37 teaspoon, metric – volume – [tsp_m]:
+ §37 tebi – prefix – Ti: §49 technical atmosphere – pressure – att: §47 ten for arbitrary powers,
+ the number – number – 10*:
+ §29 ten for arbitrary powers, the number – number – 10^: §29 tera – prefix – T: §27 tesla – magnetic
+ flux density – T: §30 tex – linear mass density (of textile thread) – tex: §43 thermal unit at 39 °F, British – energy – [Btu_39]:
+ §43 thermal unit at 59 °F, British – energy – [Btu_59]: §43 thermal unit at 60 °F, British – energy – [Btu_60]: §43 thermal
+ unit, British – energy – [Btu]: §43 thermal unit, international table British – energy – [Btu_IT]: §43 thermal unit, mean British – energy
+ – [Btu_m]: §43 thermal unit, thermochemical British – energy – [Btu_th]: §43 thermochemical British thermal unit – energy – [Btu_th]:
+ §43 thermochemical calorie – energy – cal_th: §43 thousand, parts per – fraction – [ppth]:
+ §29 tissue culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 tissue,
+ kilogram of wet – mass – kg{wet'tis}: §50 ton, British – mass – [lton_av]: §39 ton, U.S. – mass – [ston_av]: §39 ton,
+ long – mass – [lton_av]: §39 ton, short – mass – [ston_av]: §39 tonne – mass – t: §31 total
+ count, particles – number – {tot}: §50 township – area – [twp]: §35 trillion, parts per – fraction – [pptr]: §29 tropical
+ year – time – a_t: §31 tuberculin unit – biologic activity of tuberculin – [tb'U]: §45 unified atomic mass unit – mass – u: §31 unit at 39 °F, British thermal – energy – [Btu_39]: §43 unit at 59 °F, British thermal – energy – [Btu_59]: §43 unit
+ at 60 °F, British thermal – energy – [Btu_60]: §43 unit for Ambrosia artemisiifolia, allergen – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]:
+ §45 unit, APL – biologic activity of anticardiolipin IgA – [APL'U]: §45 unit, Bethesda – biologic activity of factor VIII inhibitor
+ – [beth'U]: §45 unit, Bodansky – biologic activity of phosphatase – [bdsk'U]: §45 unit, British thermal – energy – [Btu]: §43 unit, D-antigen – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 unit, Dye – biologic activity of amylase – [dye'U]:
+ §45 unit, ELISA – arbitrary ELISA unit – [ELU]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit,
+ GPL – biologic activity of anticardiolipin IgG – [GPL'U]: §45 unit, Hounsfield – x-ray attenuation – [hnsf'U]:
+ §44 unit, King-Armstrong – biologic activity of phosphatase – [ka'U]: §45 unit, Kunkel – arbitrary biologic activity – [knk'U]:
+ §45 unit, MPL – biologic activity of anticardiolipin IgM – [MPL'U]: §45 unit, Mac Lagan – arbitrary biologic activity – [mclg'U]:
+ §45 unit, Somogyi – biologic activity of amylase – [smgy'U]: §45 unit, Svedberg – sedimentation coefficient – [S]: §45 unit, Todd – biologic activity antistreptolysin O – [todd'U]: §45 unit, United States Pharmacopeia – arbitrary – [USP'U]: §45 unit,
+ Wood – fluid resistance – [wood'U]: §44 unit, allergen – procedure defined amount of an allergen using some reference standard – [AU]: §45 unit,
+ anti factor Xa – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 unit, arbitary – arbitrary – [arb'U]: §45 unit,
+ astronomic – length – AU: §31 unit, bioequivalent allergen – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for
+ 50mm sum of erythema diameters – [BAU]: §45 unit, fibrinogen equivalent – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 unit,
+ international table British thermal – energy – [Btu_IT]: §43 unit, international – arbitrary – [IU]: §45 unit, international – arbitrary
+ – [iU]: §45 unit, mean British thermal – energy – [Btu_m]: §43 unit, peripheral vascular resistance – fluid resistance – [PRU]:
+ §44 unit, protein nitrogen – procedure defined amount of a protein substance – [PNU]: §45 unit, thermochemical British thermal – energy – [Btu_th]: §43 unit, tuberculin – biologic activity of tuberculin – [tb'U]: §45 unit, unified atomic mass – mass – u: §31 units,
+ colony forming – amount of a proliferating organism – [CFU]: §45 units, focus forming – amount of an infectious agent – [FFU]: §45 units,
+ plaque forming – amount of an infectious agent – [PFU]: §45 vacuum, permeability of – magnetic permeability – [mu_0]: §32 vacuum,
+ permittivity of – electric permittivity – [eps_0]: §32 vascular resistance unit, peripheral – fluid resistance – [PRU]: §44 velocity
+ of light – velocity – [c]: §32 volt – electric potential – V: §30 volt, bel – electric potential level – B[V]: §46 water column, inch of – pressure – [in_i'H2O]: §44 water column, meter of – pressure – m[H2O]: §44 watt
+ – power – W: §30 watt, bel – power level – B[W]: §46 weber – magnetic flux – Wb: §30 week
+ – time – wk: §31 wet tissue, kilogram of – mass – kg{wet'tis}: §50 winchester gallon, historical – dry volume – [gal_wi]: §37 wine gallon, Queen Anne's – fluid volume – [gal_us]: §37 yard – length – [yd_br]:
+ §36 yard – length – [yd_i]: §34 yard – length – [yd_us]: §35 yard, cubic – volume – [cyd_i]:
+ §34 yard, square – area – [syd_i]: §34 year – time – a: §31 year, mean Gregorian – time
+ – a_g: §31 year, mean Julian – time – a_j: §31 year, tropical – time – a_t: §31 yocto
+ – prefix – y: §27 yotta – prefix – Y: §27 zepto – prefix – z: §27 zetta – prefix – Z:
+ §27 Ångström – length – Ao: §47
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+
+
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C.2
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Alphabetic Index By Symbol
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+
+
+ C.2
+
+
+
+
Alphabetic Index By Symbol
+
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+
+
-
% – percent – fraction: §29 %[slope] – percent of slope – slope: §44 ' – minute – plane angle: §31 '' – second – plane angle: §31 10* – the number ten for arbitrary powers – number: §29 10^ – the number ten for arbitrary powers – number: §29 A – ampère – electric current: §30 AU – astronomic unit – length: §31 Ao – Ångström – length: §47 B – bel – level: §46 B[10.nV] – bel 10 nanovolt – electric potential level: §46 B[SPL] – bel sound pressure – pressure level: §46 B[V] – bel volt – electric potential level: §46 B[W] – bel watt – power level: §46 B[kW] – bel kilowatt – power level: §46 B[mV] – bel millivolt – electric potential level: §46 B[uV] – bel microvolt – electric potential level: §46 Bd – baud – signal transmission rate: §48 Bi – Biot – electric current: §33 Bq – becquerel – radioactivity: §30 By – byte – amount of information: §48 C – coulomb – electric charge: §28 Cel – degree Celsius – temperature: §30 Ci – Curie – radioactivity: §33 E – exa – prefix : §27 F – farad – electric capacitance: §30 G – Gauss – magnetic flux density: §33 G – giga – prefix : §27 Gal – Gal – acceleration: §33 Gb – Gilbert – magnetic tension: §33 Gi – gibi – prefix : §49 Gy – gray – energy dose: §30 H – henry – inductance: §30 Hz – hertz – frequency: §30 J – joule – energy: §30 K – kelvin – temperature: §28 Ki – kibi – prefix : §49 Ky – Kayser – lineic number: §33 L – liter – volume: §31 Lmb – Lambert – brightness: §33 M – mega – prefix : §27 Mi – mebi – prefix : §49 Mx – Maxwell – flux of magnetic induction: §33 N – newton – force: §30 Np – neper – level: §46 Oe – Oersted – magnetic field intensity: §33 Ohm – ohm – electric resistance: §30 P – Poise – dynamic viscosity: §33 P – peta – prefix : §27 Pa – pascal – pressure: §30 R – Roentgen – ion dose: §33 RAD – radiation absorbed dose – energy dose: §33 REM – radiation equivalent man – dose equivalent: §33 S – siemens – electric conductance: §30 St – Stokes – kinematic viscosity: §33 Sv – sievert – dose equivalent: §30 T – tera – prefix : §27 T – tesla – magnetic flux density: §30 Ti – tebi – prefix : §49 U – Unit – catalytic activity: §45 V – volt – electric potential: §30 W – watt – power: §30 Wb – weber – magnetic flux: §30 Y – yotta – prefix : §27 Z – zetta – prefix : §27 [APL'U] – APL unit – biologic activity of anticardiolipin IgA: §45 [AU] – allergen unit – procedure defined amount of an allergen using some reference standard: §45 [Amb'a'1'U] – allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed.: §45 [BAU] – bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method
- of (intradermal dilution for 50mm sum of erythema diameters: §45 [Btu] – British thermal unit – energy: §43 [Btu_39] – British thermal unit at 39 °F – energy: §43 [Btu_59] – British thermal unit at 59 °F – energy: §43 [Btu_60] – British thermal unit at 60 °F – energy: §43 [Btu_IT] – international table British thermal unit – energy: §43 [Btu_m] – mean British thermal unit – energy: §43 [Btu_th] – thermochemical British thermal unit – energy: §43 [CCID_50] – 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [CFU] – colony forming units – amount of a proliferating organism: §45 [Cal] – nutrition label Calories – energy: §43 [Ch] – Charrière french – gauge of catheters: §44 [D'ag'U] – D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance: §45 [EID_50] – 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [ELU] – ELISA unit – arbitrary ELISA unit: §45 [EU] – Ehrlich unit – Ehrlich unit: §45 [FEU] – fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers: §45 [FFU] – focus forming units – amount of an infectious agent: §45 [GPL'U] – GPL unit – biologic activity of anticardiolipin IgG: §45 [G] – Newtonian constant of gravitation – (unclassified): §32 [HPF] – high power field – view area in microscope: §45 [HP] – horsepower – power: §43 [IR] – index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.: §45 [IU] – international unit – arbitrary: §45 [LPF] – low power field – view area in microscope: §45 [Lf] – Limit of flocculation – procedure defined amount of an antigen substance: §45 [MET] – metabolic equivalent – metabolic cost of physical activity: §44 [MPL'U] – MPL unit – biologic activity of anticardiolipin IgM: §45 [PFU] – plaque forming units – amount of an infectious agent: §45 [PNU] – protein nitrogen unit – procedure defined amount of a protein substance: §45 [PRU] – peripheral vascular resistance unit – fluid resistance: §44 [S] – Svedberg unit – sedimentation coefficient: §45 [TCID_50] – 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [USP'U] – United States Pharmacopeia unit – arbitrary: §45 [acr_br] – acre – area: §36 [acr_us] – acre – area: §35 [anti'Xa'U] – anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin): §45 [arb'U] – arbitary unit – arbitrary: §45 [bbl_us] – barrel – fluid volume: §37 [bdsk'U] – Bodansky unit – biologic activity of phosphatase: §45 [beth'U] – Bethesda unit – biologic activity of factor VIII inhibitor: §45 [bf_i] – board foot – volume: §34 [bu_br] – bushel – volume: §38 [bu_us] – bushel – dry volume: §37 [c] – velocity of light – velocity: §32 [car_Au] – carat of gold alloys – mass fraction: §47 [car_m] – metric carat – mass: §47 [cft_i] – cubic foot – volume: §34 [ch_br] – Gunter's chain – length: §36 [ch_us] – Gunter's chain Surveyor's chain – length: §35 [cicero] – cicero Didot's pica – length: §42 [cin_i] – cubic inch – volume: §34 [cml_i] – circular mil – area: §34 [cr_i] – cord – volume: §34 [crd_us] – cord – fluid volume: §37 [cup_m] – metric cup – volume: §37 [cup_us] – cup – volume: §37 [cyd_i] – cubic yard – volume: §34 [degF] – degree Fahrenheit – temperature: §43 [degR] – degree Rankine – temperature: §43 [degRe] – degree Réaumur – temperature: §43 [den] – Denier – linear mass density (of textile thread): §43 [didot] – didot Didot's point – length: §42 [diop] – diopter – refraction of a lens: §44 [dpt_us] – dry pint – dry volume: §37 [dqt_us] – dry quart – dry volume: §37 [dr_ap] – dram drachm – mass: §41 [dr_av] – dram – mass: §39 [drp] – drop – volume: §44 [dye'U] – Dye unit – biologic activity of amylase: §45 [e] – elementary charge – electric charge: §32 [eps_0] – permittivity of vacuum – electric permittivity: §32 [fdr_br] – fluid dram – volume: §38 [fdr_us] – fluid dram – fluid volume: §37 [foz_br] – fluid ounce – volume: §38 [foz_m] – metric fluid ounce – fluid volume: §37 [foz_us] – fluid ounce – fluid volume: §37 [ft_br] – foot – length: §36 [ft_i] – foot – length: §34 [ft_us] – foot – length: §35 [fth_br] – fathom – length: §36 [fth_i] – fathom – depth of water: §34 [fth_us] – fathom – length: §35 [fur_us] – furlong – length: §35 [g] – standard acceleration of free fall – acceleration: §32 [gal_br] – gallon – volume: §38 [gal_us] – Queen Anne's wine gallon – fluid volume: §37 [gal_wi] – historical winchester gallon – dry volume: §37 [gil_br] – gill – volume: §38 [gil_us] – gill – fluid volume: §37 [gr] – grain – mass: §39 [h] – Planck constant – action: §32 [hd_i] – hand – height of horses: §34 [hnsf'U] – Hounsfield unit – x-ray attenuation: §44 [hp'_C] – homeopathic potency of centesimal series (retired) – homeopathic potency (retired): §44 [hp'_M] – homeopathic potency of millesimal series (retired) – homeopathic potency (retired): §44 [hp'_Q] – homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired): §44 [hp'_X] – homeopathic potency of decimal series (retired) – homeopathic potency (retired): §44 [hp_C] – homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_M] – homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_Q] – homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_X] – homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann): §44 [iU] – international unit – arbitrary: §45
-
-
[in_br] – inch – length: §36 [in_i'H2O] – inch of water column – pressure: §44 [in_i'Hg] – inch of mercury column – pressure: §44 [in_i] – inch – length: §34 [in_us] – inch – length: §35 [k] – Boltzmann constant – (unclassified): §32 [ka'U] – King-Armstrong unit – biologic activity of phosphatase: §45 [kn_br] – knot – velocity: §36 [kn_i] – knot – velocity: §34 [knk'U] – Kunkel unit – arbitrary biologic activity: §45 [kp_C] – homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_M] – homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_Q] – homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_X] – homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov): §44 [lb_ap] – pound – mass: §41 [lb_av] – pound – mass: §39 [lb_tr] – pound – mass: §40 [lbf_av] – pound force – force: §32 [lcwt_av] – long hunderdweight British hundredweight – mass: §39 [ligne] – ligne French line – length: §42 [lk_br] – link for Gunter's chain – length: §36 [lk_us] – link for Gunter's chain – length: §35 [lne] – line – length: §42 [lton_av] – long ton British ton – mass: §39 [ly] – light-year – length: §32 [m/s2/Hz^(1/2)] – meter per square seconds per square root of hertz – amplitude spectral density: §47 [m_e] – electron mass – mass: §32 [m_p] – proton mass – mass: §32 [mclg'U] – Mac Lagan unit – arbitrary biologic activity: §45 [mesh_i] – mesh – lineic number: §44 [mi_br] – mile – length: §36 [mi_i] – mile – length: §34 [mi_us] – mile – length: §35 [mil_i] – mil – length: §34 [mil_us] – mil – length: §35 [min_br] – minim – volume: §38 [min_us] – minim – fluid volume: §37 [mu_0] – permeability of vacuum – magnetic permeability: §32 [nmi_br] – nautical mile – length: §36 [nmi_i] – nautical mile – length: §34 [oz_ap] – ounce – mass: §41 [oz_av] – ounce – mass: §39 [oz_m] – metric ounce – mass: §41 [oz_tr] – ounce – mass: §40 [p'diop] – prism diopter – refraction of a prism: §44 [pH] – pH – acidity: §45 [pc_br] – pace – length: §36 [pca] – pica – length: §42 [pca_pr] – Printer's pica – length: §42 [pi] – the number pi – number: §29 [pied] – pied French foot – length: §42 [pk_br] – peck – volume: §38 [pk_us] – peck – dry volume: §37 [pnt] – point – length: §42 [pnt_pr] – Printer's point – length: §42 [pouce] – pouce French inch – length: §42 [ppb] – parts per billion – fraction: §29 [ppm] – parts per million – fraction: §29 [ppth] – parts per thousand – fraction: §29 [pptr] – parts per trillion – fraction: §29 [psi] – pound per sqare inch – pressure: §47 [pt_br] – pint – volume: §38 [pt_us] – pint – fluid volume: §37 [pwt_tr] – pennyweight – mass: §40 [qt_br] – quart – volume: §38 [qt_us] – quart – fluid volume: §37 [rch_us] – Ramden's chain Engineer's chain – length: §35 [rd_br] – rod – length: §36 [rd_us] – rod – length: §35 [rlk_us] – link for Ramden's chain – length: §35 [sc_ap] – scruple – mass: §41 [sct] – section – area: §35 [scwt_av] – short hundredweight U.S. hundredweight – mass: §39 [sft_i] – square foot – area: §34 [sin_i] – square inch – area: §34 [smgy'U] – Somogyi unit – biologic activity of amylase: §45 [smi_us] – square mile – area: §35 [smoot] – Smoot – length: §47 [srd_us] – square rod – area: §35 [ston_av] – short ton U.S. ton – mass: §39 [stone_av] – stone British stone – mass: §39 [syd_i] – square yard – area: §34 [tb'U] – tuberculin unit – biologic activity of tuberculin: §45 [tbs_m] – metric tablespoon – volume: §37 [tbs_us] – tablespoon – volume: §37 [todd'U] – Todd unit – biologic activity antistreptolysin O: §45 [tsp_m] – metric teaspoon – volume: §37 [tsp_us] – teaspoon – volume: §37 [twp] – township – area: §35 [wood'U] – Wood unit – fluid resistance: §44 [yd_br] – yard – length: §36 [yd_i] – yard – length: §34 [yd_us] – yard – length: §35 a – atto – prefix : §27 a – year – time: §31 a_g – mean Gregorian year – time: §31 a_j – mean Julian year – time: §31 a_t – tropical year – time: §31 ar – are – area: §31 atm – standard atmosphere – pressure: §32 att – technical atmosphere – pressure: §47 b – barn – action area: §47 bar – bar – pressure: §31 bit – bit – amount of information: §48 bit_s – bit – amount of information: §48 c – centi – prefix : §27 cal – calorie – energy: §43 cal_IT – international table calorie – energy: §43 cal_[15] – calorie at 15 °C – energy: §43 cal_[20] – calorie at 20 °C – energy: §43 cal_m – mean calorie – energy: §43 cal_th – thermochemical calorie – energy: §43 cd – candela – luminous intensity: §28 circ – circle – plane angle: §47 d – day – time: §31 d – deci – prefix : §27 da – deka – prefix : §27 deg – degree – plane angle: §31 dyn – dyne – force: §33 eV – electronvolt – energy: §31 eq – equivalents – amount of substance: §45 erg – erg – energy: §33 f – femto – prefix : §27 g – gram – mass: §28 g% – gram percent – mass concentration: §45 g.m/{H.B.} – gram meter per heartbeat – proportional to ventricular stroke work: §50 gf – gram-force – force: §32 gf.m/{H.B.} – gram-force meter per heartbeat – ventricular stroke work: §50 gon – gon grade – plane angle: §31 h – hecto – prefix : §27 h – hour – time: §31 k – kilo – prefix : §27 kat – katal – catalytic activity: §45 kg{wet'tis} – kilogram of wet tissue – mass: §50 l – liter – volume: §31 lm – lumen – luminous flux: §30 lx – lux – illuminance: §30 m – meter – length: §28 m – milli – prefix : §27 m[H2O] – meter of water column – pressure: §44 m[Hg] – meter of mercury column – pressure: §44 mg{creat} – milligram of creatinine – mass: §50 mho – mho – electric conductance: §47 min – minute – time: §31 mo – month – time: §31 mo_g – mean Gregorian month – time: §31 mo_j – mean Julian month – time: §31 mo_s – synodal month – time: §31 mol – mole – amount of substance: §30 n – nano – prefix : §27 osm – osmole – amount of substance (dissolved particles): §45 p – pico – prefix : §27 pc – parsec – length: §31 ph – phot – illuminance: §33 rad – radian – plane angle: §28 s – second – time: §28 sb – stilb – lum. intensity density: §33 sph – spere – solid angle: §47 sr – steradian – solid angle: §30 st – stere – volume: §47 t – tonne – mass: §31 tex – tex – linear mass density (of textile thread): §43 u – micro – prefix : §27 u – unified atomic mass unit – mass: §31 wk – week – time: §31 y – yocto – prefix : §27 z – zepto – prefix : §27 {rbc} – red blood cell count – number: §50 {tbl} – tablets – number: §50 {tot} – particles total count – number: §50
+
% – percent – fraction: §29 %[slope] – percent of slope – slope: §44 ' – minute – plane angle: §31 '' – second
+ – plane angle: §31 10* – the number ten for arbitrary powers – number: §29 10^ – the number ten for arbitrary powers – number: §29 A
+ – ampère – electric current: §30 AU – astronomic unit – length: §31 Ao – Ångström – length: §47 B – bel –
+ level: §46 B[10.nV] – bel 10 nanovolt – electric potential level: §46 B[SPL] – bel sound pressure – pressure level: §46 B[V]
+ – bel volt – electric potential level: §46 B[W] – bel watt – power level: §46 B[kW] – bel kilowatt – power level: §46 B[mV]
+ – bel millivolt – electric potential level: §46 B[uV] – bel microvolt – electric potential level: §46 Bd – baud – signal transmission rate: §48 Bi – Biot – electric current: §33 Bq – becquerel – radioactivity: §30 By – byte – amount of information: §48 C – coulomb – electric charge: §28 Cel – degree Celsius – temperature: §30 Ci – Curie – radioactivity: §33 E – exa – prefix : §27 F – farad – electric capacitance: §30 G – Gauss – magnetic flux density: §33 G
+ – giga – prefix : §27 Gal – Gal – acceleration: §33 Gb – Gilbert – magnetic tension: §33 Gi – gibi – prefix
+ : §49 Gy – gray – energy dose: §30 H – henry – inductance: §30 Hz – hertz – frequency: §30 J – joule – energy: §30 K – kelvin – temperature: §28 Ki – kibi – prefix : §49 Ky
+ – Kayser – lineic number: §33 L – liter – volume: §31 Lmb – Lambert – brightness: §33 M – mega – prefix :
+ §27 Mi – mebi – prefix : §49 Mx – Maxwell – flux of magnetic induction: §33 N – newton – force: §30 Np – neper – level: §46 Oe – Oersted – magnetic field intensity: §33 Ohm – ohm – electric resistance: §30 P – Poise – dynamic viscosity: §33 P – peta – prefix : §27 Pa – pascal – pressure: §30 R
+ – Roentgen – ion dose: §33 RAD – radiation absorbed dose – energy dose: §33 REM – radiation equivalent man – dose equivalent: §33 S
+ – siemens – electric conductance: §30 St – Stokes – kinematic viscosity: §33 Sv – sievert – dose equivalent: §30 T
+ – tera – prefix : §27 T – tesla – magnetic flux density: §30 Ti – tebi – prefix : §49 U – Unit – catalytic
+ activity: §45 V – volt – electric potential: §30 W – watt – power: §30 Wb – weber – magnetic flux: §30 Y – yotta – prefix : §27 Z – zetta – prefix : §27 [APL'U] – APL unit – biologic activity of anticardiolipin IgA: §45 [AU] – allergen unit – procedure defined amount of an allergen using some reference standard: §45 [Amb'a'1'U] – allergen unit for Ambrosia artemisiifolia – procedure
+ defined amount of the major allergen of ragweed.: §45 [BAU] – bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
+ dilution for 50mm sum of erythema diameters: §45 [Btu] – British thermal unit – energy: §43 [Btu_39] – British thermal unit at 39 °F – energy:
+ §43 [Btu_59] – British thermal unit at 59 °F – energy: §43 [Btu_60] – British thermal unit at 60 °F – energy: §43 [Btu_IT]
+ – international table British thermal unit – energy: §43 [Btu_m] – mean British thermal unit – energy: §43 [Btu_th] – thermochemical British thermal
+ unit – energy: §43 [CCID_50] – 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [CFU] – colony
+ forming units – amount of a proliferating organism: §45 [Cal] – nutrition label Calories – energy: §43 [Ch] – Charrière french – gauge of catheters:
+ §44 [D'ag'U] – D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance: §45 [EID_50] – 50% embryo infectious dose – biologic
+ activity (infectivity) of an infectious agent preparation: §45 [ELU] – ELISA unit – arbitrary ELISA unit: §45 [EU] – Ehrlich unit – Ehrlich unit:
+ §45 [FEU] – fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers: §45 [FFU] – focus forming units – amount of an
+ infectious agent: §45 [GPL'U] – GPL unit – biologic activity of anticardiolipin IgG: §45 [G] – Newtonian constant of gravitation – (unclassified):
+ §32 [HPF] – high power field – view area in microscope: §45 [HP] – horsepower – power: §43 [IR] – index of
+ reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.: §45 [IU] – international unit – arbitrary: §45 [LPF]
+ – low power field – view area in microscope: §45 [Lf] – Limit of flocculation – procedure defined amount of an antigen substance: §45 [MET] – metabolic
+ equivalent – metabolic cost of physical activity: §44 [MPL'U] – MPL unit – biologic activity of anticardiolipin IgM: §45 [PFU] – plaque forming units
+ – amount of an infectious agent: §45 [PNU] – protein nitrogen unit – procedure defined amount of a protein substance: §45 [PRU] – peripheral vascular
+ resistance unit – fluid resistance: §44 [S] – Svedberg unit – sedimentation coefficient: §45 [TCID_50] – 50% tissue culture infectious dose – biologic
+ activity (infectivity) of an infectious agent preparation: §45 [USP'U] – United States Pharmacopeia unit – arbitrary: §45 [acr_br] – acre – area:
+ §36 [acr_us] – acre – area: §35 [anti'Xa'U] – anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin): §45 [arb'U] – arbitary
+ unit – arbitrary:
+ §45 [bbl_us] – barrel – fluid volume: §37 [bdsk'U] – Bodansky unit – biologic activity of phosphatase: §45 [beth'U]
+ – Bethesda unit – biologic activity of factor VIII inhibitor: §45 [bf_i] – board foot – volume: §34 [bu_br] – bushel – volume: §38 [bu_us] – bushel – dry volume: §37 [c] – velocity of light – velocity: §32 [car_Au] – carat of gold alloys – mass fraction:
+ §47 [car_m] – metric carat – mass: §47 [cft_i] – cubic foot – volume: §34 [ch_br] – Gunter's chain –
+ length: §36 [ch_us] – Gunter's chain Surveyor's chain – length: §35 [cicero] – cicero Didot's pica – length: §42 [cin_i]
+ – cubic inch – volume: §34 [cml_i] – circular mil – area: §34 [cr_i] – cord – volume: §34 [crd_us] –
+ cord – fluid volume: §37 [cup_m] – metric cup – volume: §37 [cup_us] – cup – volume: §37 [cyd_i] – cubic
+ yard – volume: §34 [degF] – degree Fahrenheit – temperature: §43 [degR] – degree Rankine – temperature: §43 [degRe]
+ – degree Réaumur – temperature: §43 [den] – Denier – linear mass density (of textile thread): §43 [didot] – didot Didot's point – length: §42 [diop] – diopter – refraction of a lens: §44 [dpt_us] – dry pint – dry volume: §37 [dqt_us] – dry quart – dry volume:
+ §37 [dr_ap] – dram drachm – mass: §41 [dr_av] – dram – mass: §39 [drp] – drop – volume: §44 [dye'U] – Dye unit – biologic activity of amylase: §45 [e] – elementary charge – electric charge: §32 [eps_0] – permittivity
+ of vacuum – electric permittivity: §32 [fdr_br] – fluid dram – volume: §38 [fdr_us] – fluid dram – fluid volume: §37 [foz_br]
+ – fluid ounce – volume: §38 [foz_m] – metric fluid ounce – fluid volume: §37 [foz_us] – fluid ounce – fluid volume: §37 [ft_br]
+ – foot – length: §36 [ft_i] – foot – length: §34 [ft_us] – foot – length: §35 [fth_br] – fathom – length:
+ §36 [fth_i] – fathom – depth of water: §34 [fth_us] – fathom – length: §35 [fur_us] – furlong – length:
+ §35 [g] – standard acceleration of free fall – acceleration: §32 [gal_br] – gallon – volume: §38 [gal_us]
+ – Queen Anne's wine gallon – fluid volume: §37 [gal_wi] – historical winchester gallon – dry volume: §37 [gil_br] – gill – volume: §38 [gil_us] – gill – fluid volume: §37 [gr] – grain – mass: §39 [h] – Planck constant – action: §32 [hd_i]
+ – hand – height of horses: §34 [hnsf'U] – Hounsfield unit – x-ray attenuation: §44 [hp'_C] – homeopathic potency of centesimal series (retired)
+ – homeopathic potency (retired): §44 [hp'_M] – homeopathic potency of millesimal series (retired) – homeopathic potency (retired): §44 [hp'_Q]
+ – homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired): §44 [hp'_X] – homeopathic potency of decimal series (retired) – homeopathic potency (retired):
+ §44 [hp_C] – homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_M] – homeopathic potency of millesimal
+ hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_Q] – homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_X]
+ – homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann): §44 [iU] – international unit – arbitrary: §45
+
+
[in_br] – inch – length: §36 [in_i'H2O] – inch of water column – pressure: §44 [in_i'Hg] – inch of mercury column – pressure: §44 [in_i]
+ – inch – length: §34 [in_us] – inch – length: §35 [k] – Boltzmann constant – (unclassified): §32 [ka'U] –
+ King-Armstrong unit – biologic activity of phosphatase: §45 [kn_br] – knot – velocity: §36 [kn_i] – knot – velocity: §34 [knk'U]
+ – Kunkel unit – arbitrary biologic activity: §45 [kp_C] – homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_M]
+ – homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_Q] – homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov):
+ §44 [kp_X] – homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov): §44 [lb_ap] – pound – mass: §41 [lb_av]
+ – pound – mass: §39 [lb_tr] – pound – mass: §40 [lbf_av] – pound force – force: §32 [lcwt_av] – long hunderdweight
+ British hundredweight – mass: §39 [ligne] – ligne French line – length: §42 [lk_br] – link for Gunter's chain – length: §36 [lk_us]
+ – link for Gunter's chain – length: §35 [lne] – line – length: §42 [lton_av] – long ton British ton – mass: §39 [ly]
+ – light-year – length: §32 [m/s2/Hz^(1/2)] – meter per square seconds per square root of hertz – amplitude spectral density: §47 [m_e] – electron mass
+ – mass: §32 [m_p] – proton mass – mass: §32 [mclg'U] – Mac Lagan unit – arbitrary biologic activity: §45 [mesh_i]
+ – mesh – lineic number: §44 [mi_br] – mile – length: §36 [mi_i] – mile – length: §34 [mi_us] – mile – length:
+ §35 [mil_i] – mil – length: §34 [mil_us] – mil – length: §35 [min_br] – minim – volume: §38 [min_us] – minim – fluid volume: §37 [mu_0] – permeability of vacuum – magnetic permeability: §32 [nmi_br] – nautical mile
+ – length: §36 [nmi_i] – nautical mile – length: §34 [oz_ap] – ounce – mass: §41 [oz_av] – ounce – mass:
+ §39 [oz_m] – metric ounce – mass: §41 [oz_tr] – ounce – mass: §40 [p'diop] – prism diopter – refraction of
+ a prism: §44 [pH] – pH – acidity: §45 [pc_br] – pace – length: §36 [pca] – pica – length: §42 [pca_pr] – Printer's pica – length: §42 [pi] – the number pi – number: §29 [pied] – pied French foot – length: §42 [pk_br] – peck – volume: §38 [pk_us] – peck – dry volume: §37 [pnt] – point – length: §42 [pnt_pr]
+ – Printer's point – length: §42 [pouce] – pouce French inch – length: §42 [ppb] – parts per billion – fraction: §29 [ppm]
+ – parts per million – fraction: §29 [ppth] – parts per thousand – fraction: §29 [pptr] – parts per trillion – fraction: §29 [psi]
+ – pound per sqare inch – pressure: §47 [pt_br] – pint – volume: §38 [pt_us] – pint – fluid volume: §37 [pwt_tr]
+ – pennyweight – mass: §40 [qt_br] – quart – volume: §38 [qt_us] – quart – fluid volume: §37 [rch_us] – Ramden's
+ chain Engineer's chain – length: §35 [rd_br] – rod – length: §36 [rd_us] – rod – length: §35 [rlk_us] – link
+ for Ramden's chain – length: §35 [sc_ap] – scruple – mass: §41 [sct] – section – area: §35 [scwt_av] – short
+ hundredweight U.S. hundredweight – mass: §39 [sft_i] – square foot – area: §34 [sin_i] – square inch – area: §34 [smgy'U]
+ – Somogyi unit – biologic activity of amylase: §45 [smi_us] – square mile – area: §35 [smoot] – Smoot – length: §47 [srd_us]
+ – square rod – area: §35 [ston_av] – short ton U.S. ton – mass: §39 [stone_av] – stone British stone – mass: §39 [syd_i]
+ – square yard – area: §34 [tb'U] – tuberculin unit – biologic activity of tuberculin: §45 [tbs_m] – metric tablespoon – volume: §37 [tbs_us] – tablespoon – volume: §37 [todd'U] – Todd unit – biologic activity antistreptolysin O: §45 [tsp_m] – metric teaspoon
+ – volume: §37 [tsp_us] – teaspoon – volume: §37 [twp] – township – area: §35 [wood'U] – Wood unit – fluid
+ resistance: §44 [yd_br] – yard – length: §36 [yd_i] – yard – length: §34 [yd_us] – yard – length: §35 a – atto – prefix : §27 a – year – time: §31 a_g – mean Gregorian year – time: §31 a_j
+ – mean Julian year – time: §31 a_t – tropical year – time: §31 ar – are – area: §31 atm – standard atmosphere
+ – pressure: §32 att – technical atmosphere – pressure: §47 b – barn – action area: §47 bar – bar – pressure:
+ §31 bit – bit – amount of information: §48 bit_s – bit – amount of information: §48 c – centi – prefix :
+ §27 cal – calorie – energy: §43 cal_IT – international table calorie – energy: §43 cal_[15] – calorie at
+ 15 °C – energy: §43 cal_[20] – calorie at 20 °C – energy: §43 cal_m – mean calorie – energy: §43 cal_th
+ – thermochemical calorie – energy: §43 cd – candela – luminous intensity: §28 circ – circle – plane angle: §47 d
+ – day – time: §31 d – deci – prefix : §27 da – deka – prefix : §27 deg – degree – plane angle: §31 dyn – dyne – force: §33 eV – electronvolt – energy: §31 eq – equivalents – amount of substance: §45 erg
+ – erg – energy: §33 f – femto – prefix : §27 g – gram – mass: §28 g% – gram percent – mass concentration:
+ §45 g.m/{H.B.} – gram meter per heartbeat – proportional to ventricular stroke work: §50 gf – gram-force – force: §32 gf.m/{H.B.}
+ – gram-force meter per heartbeat – ventricular stroke work: §50 gon – gon grade – plane angle: §31 h – hecto – prefix : §27 h
+ – hour – time: §31 k – kilo – prefix : §27 kat – katal – catalytic activity: §45 kg{wet'tis} – kilogram of
+ wet tissue – mass: §50 l – liter – volume: §31 lm – lumen – luminous flux: §30 lx – lux – illuminance:
+ §30 m – meter – length: §28 m – milli – prefix : §27 m[H2O] – meter of water column – pressure: §44 m[Hg] – meter of mercury column – pressure: §44 mg{creat} – milligram of creatinine – mass: §50 mho – mho – electric conductance:
+ §47 min – minute – time: §31 mo – month – time: §31 mo_g – mean Gregorian month – time:
+ §31 mo_j – mean Julian month – time: §31 mo_s – synodal month – time: §31 mol – mole – amount of substance:
+ §30 n – nano – prefix : §27 osm – osmole – amount of substance (dissolved particles): §45 p – pico – prefix
+ : §27 pc – parsec – length: §31 ph – phot – illuminance: §33 rad – radian – plane angle: §28 s – second – time: §28 sb – stilb – lum. intensity density: §33 sph – spere – solid angle: §47 sr
+ – steradian – solid angle: §30 st – stere – volume: §47 t – tonne – mass: §31 tex – tex – linear mass density
+ (of textile thread): §43 u – micro – prefix : §27 u – unified atomic mass unit – mass: §31 wk – week – time:
+ §31 y – yocto – prefix : §27 z – zepto – prefix : §27 {rbc} – red blood cell count – number:
+ §50 {tbl} – tablets – number: §50 {tot} – particles total count – number: §50
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Alphabetic Index By Kind Of Quantity
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Alphabetic Index By Kind Of Quantity
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(Hahnemann), homeopathic potency – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 (Hahnemann), homeopathic potency – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 (Hahnemann), homeopathic potency – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 (Hahnemann), homeopathic potency – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 (Korsakov), homeopathic potency – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 (Korsakov), homeopathic potency – homeopathic potency of decimal korsakovian series – [kp_X]: §44 (Korsakov), homeopathic potency – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 (Korsakov), homeopathic potency – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 (dissolved particles), amount of substance – osmole – osm: §45 (heparin), biologic activity of factor Xa inhibitor – anti factor Xa unit – [anti'Xa'U]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% cell culture infectious dose – [CCID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% embryo infectious dose – [EID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% tissue culture infectious dose – [TCID_50]: §45 (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based
- on the ID50EAL method of – bioequivalent allergen unit – [BAU]: §45 (of textile thread), linear mass density – Denier – [den]: §43 (of textile thread), linear mass density – tex – tex: §43 (retired), homeopathic potency – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 (retired), homeopathic potency – homeopathic potency of decimal series (retired) – [hp'_X]: §44 (retired), homeopathic potency – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 (retired), homeopathic potency – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 (unclassified) – Boltzmann constant – [k]: §32 (unclassified) – Newtonian constant of gravitation – [G]: §32 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of
- (intradermal dilution for – bioequivalent allergen unit – [BAU]: §45 ELISA unit, arbitrary – ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo
- testing based on the – bioequivalent allergen unit – [BAU]: §45 IgA, biologic activity of anticardiolipin – APL unit – [APL'U]: §45 IgG, biologic activity of anticardiolipin – GPL unit – [GPL'U]: §45 IgM, biologic activity of anticardiolipin – MPL unit – [MPL'U]: §45 O, biologic activity antistreptolysin – Todd unit – [todd'U]: §45 Stallergenes® method., amount of an allergen callibrated through in-vivo testing using the – index of reactivity – [IR]:
- §45 VIII inhibitor, biologic activity of factor – Bethesda unit – [beth'U]: §45 Xa inhibitor (heparin), biologic activity of factor – anti factor Xa unit – [anti'Xa'U]: §45 a lens, refraction of – diopter – [diop]: §44 a poliomyelitis d-antigen substance, procedure defined amount of – D-antigen unit – [D'ag'U]: §45 a prism, refraction of – prism diopter – [p'diop]: §44 a proliferating organism, amount of – colony forming units – [CFU]: §45 a protein substance, procedure defined amount of – protein nitrogen unit – [PNU]: §45 acceleration – Gal – Gal: §33 acceleration – standard acceleration of free fall – [g]: §32 acidity – pH – [pH]: §45 action area – barn – b: §47 action – Planck constant – [h]: §32 activity (infectivity) of an infectious agent preparation, biologic – 50% cell culture infectious dose – [CCID_50]: §45 activity (infectivity) of an infectious agent preparation, biologic – 50% embryo infectious dose – [EID_50]: §45 activity (infectivity) of an infectious agent preparation, biologic – 50% tissue culture infectious dose – [TCID_50]: §45 activity antistreptolysin O, biologic – Todd unit – [todd'U]: §45 activity of amylase, biologic – Dye unit – [dye'U]: §45 activity of amylase, biologic – Somogyi unit – [smgy'U]: §45 activity of anticardiolipin IgA, biologic – APL unit – [APL'U]: §45 activity of anticardiolipin IgG, biologic – GPL unit – [GPL'U]: §45 activity of anticardiolipin IgM, biologic – MPL unit – [MPL'U]: §45 activity of factor VIII inhibitor, biologic – Bethesda unit – [beth'U]: §45 activity of factor Xa inhibitor (heparin), biologic – anti factor Xa unit – [anti'Xa'U]: §45 activity of phosphatase, biologic – Bodansky unit – [bdsk'U]: §45 activity of phosphatase, biologic – King-Armstrong unit – [ka'U]: §45 activity of tuberculin, biologic – tuberculin unit – [tb'U]: §45 activity, arbitrary biologic – Kunkel unit – [knk'U]: §45 activity, arbitrary biologic – Mac Lagan unit – [mclg'U]: §45 activity, catalytic – Unit – U: §45 activity, catalytic – katal – kat: §45 activity, metabolic cost of physical – metabolic equivalent – [MET]: §44 agent preparation, biologic activity (infectivity) of an infectious – 50% cell culture infectious dose – [CCID_50]: §45 agent preparation, biologic activity (infectivity) of an infectious – 50% embryo infectious dose – [EID_50]: §45 agent preparation, biologic activity (infectivity) of an infectious – 50% tissue culture infectious dose – [TCID_50]: §45 agent, amount of an infectious – focus forming units – [FFU]: §45 agent, amount of an infectious – plaque forming units – [PFU]: §45 allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema
- diameters, amount of an – bioequivalent allergen unit – [BAU]: §45 allergen callibrated through in-vivo testing using the Stallergenes® method., amount of an – index of reactivity – [IR]:
- §45 allergen of ragweed., procedure defined amount of the major – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 allergen using some reference standard, procedure defined amount of an – allergen unit – [AU]: §45 amount of a poliomyelitis d-antigen substance, procedure defined – D-antigen unit – [D'ag'U]: §45 amount of a proliferating organism – colony forming units – [CFU]: §45 amount of a protein substance, procedure defined – protein nitrogen unit – [PNU]: §45 amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum
- of erythema diameters – bioequivalent allergen unit – [BAU]: §45 amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – index of reactivity – [IR]: §45 amount of an allergen using some reference standard, procedure defined – allergen unit – [AU]: §45 amount of an antigen substance, procedure defined – Limit of flocculation – [Lf]: §45 amount of an infectious agent – focus forming units – [FFU]: §45 amount of an infectious agent – plaque forming units – [PFU]: §45 amount of fibrinogen broken down into the measured d-dimers – fibrinogen equivalent unit – [FEU]: §45 amount of information – bit – bit: §48 amount of information – bit – bit_s: §48 amount of information – byte – By: §48 amount of substance (dissolved particles) – osmole – osm: §45 amount of substance – equivalents – eq: §45 amount of substance – mole – mol: §30 amount of the major allergen of ragweed., procedure defined – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 amplitude spectral density – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 amylase, biologic activity of – Dye unit – [dye'U]: §45 amylase, biologic activity of – Somogyi unit – [smgy'U]: §45 an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema
- diameters, amount of – bioequivalent allergen unit – [BAU]: §45 an allergen callibrated through in-vivo testing using the Stallergenes® method., amount of – index of reactivity – [IR]:
- §45 an allergen using some reference standard, procedure defined amount of – allergen unit – [AU]: §45 an antigen substance, procedure defined amount of – Limit of flocculation – [Lf]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% cell culture infectious dose – [CCID_50]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% embryo infectious dose – [EID_50]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% tissue culture infectious dose – [TCID_50]: §45 an infectious agent, amount of – focus forming units – [FFU]: §45 an infectious agent, amount of – plaque forming units – [PFU]: §45 angle, plane – circle – circ: §47 angle, plane – degree – deg: §31 angle, plane – gon grade – gon: §31 angle, plane – minute – ': §31 angle, plane – radian – rad: §28 angle, plane – second – '': §31 angle, solid – spere – sph: §47 angle, solid – steradian – sr: §30 anticardiolipin IgA, biologic activity of – APL unit – [APL'U]: §45 anticardiolipin IgG, biologic activity of – GPL unit – [GPL'U]: §45 anticardiolipin IgM, biologic activity of – MPL unit – [MPL'U]: §45 antigen substance, procedure defined amount of an – Limit of flocculation – [Lf]: §45 antistreptolysin O, biologic activity – Todd unit – [todd'U]: §45 arbitrary ELISA unit – ELISA unit – [ELU]: §45 arbitrary biologic activity – Kunkel unit – [knk'U]: §45 arbitrary biologic activity – Mac Lagan unit – [mclg'U]: §45 arbitrary – United States Pharmacopeia unit – [USP'U]: §45 arbitrary – arbitary unit – [arb'U]: §45 arbitrary – international unit – [IU]: §45 arbitrary – international unit – [iU]: §45 area in microscope, view – high power field – [HPF]: §45 area in microscope, view – low power field – [LPF]: §45 area – acre – [acr_br]: §36 area – acre – [acr_us]: §35 area – are – ar: §31 area – circular mil – [cml_i]: §34 area – section – [sct]: §35 area – square foot – [sft_i]: §34 area – square inch – [sin_i]: §34 area – square mile – [smi_us]: §35 area – square rod – [srd_us]: §35 area – square yard – [syd_i]: §34 area – township – [twp]: §35 area, action – barn – b: §47 attenuation, x-ray – Hounsfield unit – [hnsf'U]: §44 based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated
- through in-vivo testing – bioequivalent allergen unit – [BAU]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% cell culture infectious dose – [CCID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% embryo infectious dose – [EID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% tissue culture infectious dose – [TCID_50]: §45 biologic activity antistreptolysin O – Todd unit – [todd'U]: §45 biologic activity of amylase – Dye unit – [dye'U]: §45 biologic activity of amylase – Somogyi unit – [smgy'U]: §45 biologic activity of anticardiolipin IgA – APL unit – [APL'U]: §45 biologic activity of anticardiolipin IgG – GPL unit – [GPL'U]: §45 biologic activity of anticardiolipin IgM – MPL unit – [MPL'U]: §45 biologic activity of factor VIII inhibitor – Bethesda unit – [beth'U]: §45 biologic activity of factor Xa inhibitor (heparin) – anti factor Xa unit – [anti'Xa'U]: §45 biologic activity of phosphatase – Bodansky unit – [bdsk'U]: §45 biologic activity of phosphatase – King-Armstrong unit – [ka'U]: §45 biologic activity of tuberculin – tuberculin unit – [tb'U]: §45 biologic activity, arbitrary – Kunkel unit – [knk'U]: §45 biologic activity, arbitrary – Mac Lagan unit – [mclg'U]: §45 brightness – Lambert – Lmb: §33 broken down into the measured d-dimers, amount of fibrinogen – fibrinogen equivalent unit – [FEU]: §45 callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters,
- amount of an allergen – bioequivalent allergen unit – [BAU]: §45 callibrated through in-vivo testing using the Stallergenes® method., amount of an allergen – index of reactivity – [IR]:
- §45 capacitance, electric – farad – F: §30 catalytic activity – Unit – U: §45 catalytic activity – katal – kat: §45 catheters, gauge of – Charrière french – [Ch]: §44 charge, electric – coulomb – C: §28 charge, electric – elementary charge – [e]: §32 coefficient, sedimentation – Svedberg unit – [S]: §45 concentration, mass – gram percent – g%: §45 conductance, electric – mho – mho: §47 conductance, electric – siemens – S: §30 cost of physical activity, metabolic – metabolic equivalent – [MET]: §44 current, electric – Biot – Bi: §33 current, electric – ampère – A: §30 d-antigen substance, procedure defined amount of a poliomyelitis – D-antigen unit – [D'ag'U]: §45 d-dimers, amount of fibrinogen broken down into the measured – fibrinogen equivalent unit – [FEU]: §45 defined amount of a poliomyelitis d-antigen substance, procedure – D-antigen unit – [D'ag'U]: §45 defined amount of a protein substance, procedure – protein nitrogen unit – [PNU]: §45 defined amount of an allergen using some reference standard, procedure – allergen unit – [AU]: §45 defined amount of an antigen substance, procedure – Limit of flocculation – [Lf]: §45 defined amount of the major allergen of ragweed., procedure – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 density (of textile thread), linear mass – Denier – [den]: §43 density (of textile thread), linear mass – tex – tex: §43 density, amplitude spectral – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 density, lum. intensity – stilb – sb: §33 density, magnetic flux – Gauss – G: §33 density, magnetic flux – tesla – T: §30 depth of water – fathom – [fth_i]: §34 diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution
- for 50mm sum of erythema – bioequivalent allergen unit – [BAU]: §45 dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL
- method of (intradermal – bioequivalent allergen unit – [BAU]: §45 dose equivalent – radiation equivalent man – REM: §33 dose equivalent – sievert – Sv: §30 dose, energy – gray – Gy: §30 dose, energy – radiation absorbed dose – RAD: §33 dose, ion – Roentgen – R: §33 down into the measured d-dimers, amount of fibrinogen broken – fibrinogen equivalent unit – [FEU]: §45 dry volume – bushel – [bu_us]: §37 dry volume – dry pint – [dpt_us]: §37 dry volume – dry quart – [dqt_us]: §37 dry volume – historical winchester gallon – [gal_wi]: §37 dry volume – peck – [pk_us]: §37 dynamic viscosity – Poise – P: §33 electric capacitance – farad – F: §30 electric charge – coulomb – C: §28 electric charge – elementary charge – [e]: §32 electric conductance – mho – mho: §47 electric conductance – siemens – S: §30 electric current – Biot – Bi: §33 electric current – ampère – A: §30 electric permittivity – permittivity of vacuum – [eps_0]: §32 electric potential level – bel 10 nanovolt – B[10.nV]: §46 electric potential level – bel microvolt – B[uV]: §46 electric potential level – bel millivolt – B[mV]: §46 electric potential level – bel volt – B[V]: §46 electric potential – volt – V: §30 electric resistance – ohm – Ohm: §30 energy dose – gray – Gy: §30 energy dose – radiation absorbed dose – RAD: §33 energy – British thermal unit at 39 °F – [Btu_39]: §43 energy – British thermal unit at 59 °F – [Btu_59]: §43 energy – British thermal unit at 60 °F – [Btu_60]: §43 energy – British thermal unit – [Btu]: §43 energy – calorie at 15 °C – cal_[15]: §43 energy – calorie at 20 °C – cal_[20]: §43 energy – calorie – cal: §43 energy – electronvolt – eV: §31 energy – erg – erg: §33 energy – international table British thermal unit – [Btu_IT]: §43 energy – international table calorie – cal_IT: §43 energy – joule – J: §30 energy – mean British thermal unit – [Btu_m]: §43 energy – mean calorie – cal_m: §43 energy – nutrition label Calories – [Cal]: §43 energy – thermochemical British thermal unit – [Btu_th]: §43 energy – thermochemical calorie – cal_th: §43 equivalent, dose – radiation equivalent man – REM: §33 equivalent, dose – sievert – Sv: §30 erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
- dilution for 50mm sum of – bioequivalent allergen unit – [BAU]: §45 factor VIII inhibitor, biologic activity of – Bethesda unit – [beth'U]: §45 factor Xa inhibitor (heparin), biologic activity of – anti factor Xa unit – [anti'Xa'U]: §45 fibrinogen broken down into the measured d-dimers, amount of – fibrinogen equivalent unit – [FEU]: §45 field intensity, magnetic – Oersted – Oe: §33 fluid resistance – Wood unit – [wood'U]: §44 fluid resistance – peripheral vascular resistance unit – [PRU]: §44 fluid volume – Queen Anne's wine gallon – [gal_us]: §37 fluid volume – barrel – [bbl_us]: §37 fluid volume – cord – [crd_us]: §37 fluid volume – fluid dram – [fdr_us]: §37 fluid volume – fluid ounce – [foz_us]: §37 fluid volume – gill – [gil_us]: §37 fluid volume – metric fluid ounce – [foz_m]: §37 fluid volume – minim – [min_us]: §37 fluid volume – pint – [pt_us]: §37 fluid volume – quart – [qt_us]: §37 flux density, magnetic – Gauss – G: §33 flux density, magnetic – tesla – T: §30 flux of magnetic induction – Maxwell – Mx: §33 flux, luminous – lumen – lm: §30 flux, magnetic – weber – Wb: §30 force – dyne – dyn: §33 force – gram-force – gf: §32 force – newton – N: §30 force – pound force – [lbf_av]: §32 fraction – parts per billion – [ppb]: §29 fraction – parts per million – [ppm]: §29 fraction – parts per thousand – [ppth]: §29 fraction – parts per trillion – [pptr]: §29 fraction – percent – %: §29 fraction, mass – carat of gold alloys – [car_Au]: §47 frequency – hertz – Hz: §30 gauge of catheters – Charrière french – [Ch]: §44 height of horses – hand – [hd_i]: §34 homeopathic potency (Hahnemann) – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 homeopathic potency (Hahnemann) – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 homeopathic potency (Hahnemann) – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 homeopathic potency (Hahnemann) – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 homeopathic potency (Korsakov) – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 homeopathic potency (Korsakov) – homeopathic potency of decimal korsakovian series – [kp_X]: §44 homeopathic potency (Korsakov) – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 homeopathic potency (Korsakov) – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 homeopathic potency (retired) – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 homeopathic potency (retired) – homeopathic potency of decimal series (retired) – [hp'_X]: §44 homeopathic potency (retired) – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 homeopathic potency (retired) – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 horses, height of – hand – [hd_i]: §34 illuminance – lux – lx: §30 illuminance – phot – ph: §33 in microscope, view area – high power field – [HPF]: §45 in microscope, view area – low power field – [LPF]: §45 in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen
- callibrated through – bioequivalent allergen unit – [BAU]: §45 in-vivo testing using the Stallergenes® method., amount of an allergen callibrated through – index of reactivity – [IR]:
- §45 inductance – henry – H: §30 induction, flux of magnetic – Maxwell – Mx: §33 infectious agent preparation, biologic activity (infectivity) of an – 50% cell culture infectious dose – [CCID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50% embryo infectious dose – [EID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50% tissue culture infectious dose – [TCID_50]: §45 infectious agent, amount of an – focus forming units – [FFU]: §45 infectious agent, amount of an – plaque forming units – [PFU]: §45
-
-
information, amount of – bit – bit: §48 information, amount of – bit – bit_s: §48 information, amount of – byte – By: §48 inhibitor (heparin), biologic activity of factor Xa – anti factor Xa unit – [anti'Xa'U]: §45 inhibitor, biologic activity of factor VIII – Bethesda unit – [beth'U]: §45 intensity density, lum. – stilb – sb: §33 intensity, luminous – candela – cd: §28 intensity, magnetic field – Oersted – Oe: §33 into the measured d-dimers, amount of fibrinogen broken down – fibrinogen equivalent unit – [FEU]: §45 ion dose – Roentgen – R: §33 kinematic viscosity – Stokes – St: §33 length – Gunter's chain Surveyor's chain – [ch_us]: §35 length – Gunter's chain – [ch_br]: §36 length – Printer's pica – [pca_pr]: §42 length – Printer's point – [pnt_pr]: §42 length – Ramden's chain Engineer's chain – [rch_us]: §35 length – Smoot – [smoot]: §47 length – astronomic unit – AU: §31 length – cicero Didot's pica – [cicero]: §42 length – didot Didot's point – [didot]: §42 length – fathom – [fth_br]: §36 length – fathom – [fth_us]: §35 length – foot – [ft_br]: §36 length – foot – [ft_i]: §34 length – foot – [ft_us]: §35 length – furlong – [fur_us]: §35 length – inch – [in_br]: §36 length – inch – [in_i]: §34 length – inch – [in_us]: §35 length – light-year – [ly]: §32 length – ligne French line – [ligne]: §42 length – line – [lne]: §42 length – link for Gunter's chain – [lk_br]: §36 length – link for Gunter's chain – [lk_us]: §35 length – link for Ramden's chain – [rlk_us]: §35 length – meter – m: §28 length – mil – [mil_i]: §34 length – mil – [mil_us]: §35 length – mile – [mi_br]: §36 length – mile – [mi_i]: §34 length – mile – [mi_us]: §35 length – nautical mile – [nmi_br]: §36 length – nautical mile – [nmi_i]: §34 length – pace – [pc_br]: §36 length – parsec – pc: §31 length – pica – [pca]: §42 length – pied French foot – [pied]: §42 length – point – [pnt]: §42 length – pouce French inch – [pouce]: §42 length – rod – [rd_br]: §36 length – rod – [rd_us]: §35 length – yard – [yd_br]: §36 length – yard – [yd_i]: §34 length – yard – [yd_us]: §35 length – Ångström – Ao: §47 lens, refraction of a – diopter – [diop]: §44 level – bel – B: §46 level – neper – Np: §46 level, electric potential – bel 10 nanovolt – B[10.nV]: §46 level, electric potential – bel microvolt – B[uV]: §46 level, electric potential – bel millivolt – B[mV]: §46 level, electric potential – bel volt – B[V]: §46 level, power – bel kilowatt – B[kW]: §46 level, power – bel watt – B[W]: §46 level, pressure – bel sound pressure – B[SPL]: §46 linear mass density (of textile thread) – Denier – [den]: §43 linear mass density (of textile thread) – tex – tex: §43 lineic number – Kayser – Ky: §33 lineic number – mesh – [mesh_i]: §44 lum. intensity density – stilb – sb: §33 luminous flux – lumen – lm: §30 luminous intensity – candela – cd: §28 magnetic field intensity – Oersted – Oe: §33 magnetic flux density – Gauss – G: §33 magnetic flux density – tesla – T: §30 magnetic flux – weber – Wb: §30 magnetic induction, flux of – Maxwell – Mx: §33 magnetic permeability – permeability of vacuum – [mu_0]: §32 magnetic tension – Gilbert – Gb: §33 major allergen of ragweed., procedure defined amount of the – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 mass concentration – gram percent – g%: §45 mass density (of textile thread), linear – Denier – [den]: §43 mass density (of textile thread), linear – tex – tex: §43 mass fraction – carat of gold alloys – [car_Au]: §47 mass – dram drachm – [dr_ap]: §41 mass – dram – [dr_av]: §39 mass – electron mass – [m_e]: §32 mass – grain – [gr]: §39 mass – gram – g: §28 mass – kilogram of wet tissue – kg{wet'tis}: §50 mass – long hunderdweight British hundredweight – [lcwt_av]: §39 mass – long ton British ton – [lton_av]: §39 mass – metric carat – [car_m]: §47 mass – metric ounce – [oz_m]: §41 mass – milligram of creatinine – mg{creat}: §50 mass – ounce – [oz_ap]: §41 mass – ounce – [oz_av]: §39 mass – ounce – [oz_tr]: §40 mass – pennyweight – [pwt_tr]: §40 mass – pound – [lb_ap]: §41 mass – pound – [lb_av]: §39 mass – pound – [lb_tr]: §40 mass – proton mass – [m_p]: §32 mass – scruple – [sc_ap]: §41 mass – short hundredweight U.S. hundredweight – [scwt_av]: §39 mass – short ton U.S. ton – [ston_av]: §39 mass – stone British stone – [stone_av]: §39 mass – tonne – t: §31 mass – unified atomic mass unit – u: §31 measured d-dimers, amount of fibrinogen broken down into the – fibrinogen equivalent unit – [FEU]: §45 metabolic cost of physical activity – metabolic equivalent – [MET]: §44 method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing
- based on the ID50EAL – bioequivalent allergen unit – [BAU]: §45 method., amount of an allergen callibrated through in-vivo testing using the Stallergenes® – index of reactivity – [IR]:
- §45 microscope, view area in – high power field – [HPF]: §45 microscope, view area in – low power field – [LPF]: §45 number – particles total count – {tot}: §50 number – red blood cell count – {rbc}: §50 number – tablets – {tbl}: §50 number – the number pi – [pi]: §29 number – the number ten for arbitrary powers – 10*: §29 number – the number ten for arbitrary powers – 10^: §29 number, lineic – Kayser – Ky: §33 number, lineic – mesh – [mesh_i]: §44 on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through
- in-vivo testing based – bioequivalent allergen unit – [BAU]: §45 organism, amount of a proliferating – colony forming units – [CFU]: §45 particles), amount of substance (dissolved – osmole – osm: §45 permeability, magnetic – permeability of vacuum – [mu_0]: §32 permittivity, electric – permittivity of vacuum – [eps_0]: §32 phosphatase, biologic activity of – Bodansky unit – [bdsk'U]: §45 phosphatase, biologic activity of – King-Armstrong unit – [ka'U]: §45 physical activity, metabolic cost of – metabolic equivalent – [MET]: §44 plane angle – circle – circ: §47 plane angle – degree – deg: §31 plane angle – gon grade – gon: §31 plane angle – minute – ': §31 plane angle – radian – rad: §28 plane angle – second – '': §31 poliomyelitis d-antigen substance, procedure defined amount of a – D-antigen unit – [D'ag'U]: §45 potency (Hahnemann), homeopathic – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 potency (Hahnemann), homeopathic – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 potency (Hahnemann), homeopathic – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 potency (Hahnemann), homeopathic – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 potency (Korsakov), homeopathic – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 potency (Korsakov), homeopathic – homeopathic potency of decimal korsakovian series – [kp_X]: §44 potency (Korsakov), homeopathic – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 potency (Korsakov), homeopathic – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 potency (retired), homeopathic – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 potency (retired), homeopathic – homeopathic potency of decimal series (retired) – [hp'_X]: §44 potency (retired), homeopathic – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 potency (retired), homeopathic – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 potential level, electric – bel 10 nanovolt – B[10.nV]: §46 potential level, electric – bel microvolt – B[uV]: §46 potential level, electric – bel millivolt – B[mV]: §46 potential level, electric – bel volt – B[V]: §46 potential, electric – volt – V: §30 power level – bel kilowatt – B[kW]: §46 power level – bel watt – B[W]: §46 power – horsepower – [HP]: §43 power – watt – W: §30 preparation, biologic activity (infectivity) of an infectious agent – 50% cell culture infectious dose – [CCID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% embryo infectious dose – [EID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% tissue culture infectious dose – [TCID_50]: §45 pressure level – bel sound pressure – B[SPL]: §46 pressure – bar – bar: §31 pressure – inch of mercury column – [in_i'Hg]: §44 pressure – inch of water column – [in_i'H2O]: §44 pressure – meter of mercury column – m[Hg]: §44 pressure – meter of water column – m[H2O]: §44 pressure – pascal – Pa: §30 pressure – pound per sqare inch – [psi]: §47 pressure – standard atmosphere – atm: §32 pressure – technical atmosphere – att: §47 prism, refraction of a – prism diopter – [p'diop]: §44 procedure defined amount of a poliomyelitis d-antigen substance – D-antigen unit – [D'ag'U]: §45 procedure defined amount of a protein substance – protein nitrogen unit – [PNU]: §45 procedure defined amount of an allergen using some reference standard – allergen unit – [AU]: §45 procedure defined amount of an antigen substance – Limit of flocculation – [Lf]: §45 procedure defined amount of the major allergen of ragweed. – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 proliferating organism, amount of a – colony forming units – [CFU]: §45 proportional to ventricular stroke work – gram meter per heartbeat – g.m/{H.B.}: §50 protein substance, procedure defined amount of a – protein nitrogen unit – [PNU]: §45 radioactivity – Curie – Ci: §33 radioactivity – becquerel – Bq: §30 ragweed., procedure defined amount of the major allergen of – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 rate, signal transmission – baud – Bd: §48 reference standard, procedure defined amount of an allergen using some – allergen unit – [AU]: §45 refraction of a lens – diopter – [diop]: §44 refraction of a prism – prism diopter – [p'diop]: §44 resistance, electric – ohm – Ohm: §30 resistance, fluid – Wood unit – [wood'U]: §44 resistance, fluid – peripheral vascular resistance unit – [PRU]: §44 sedimentation coefficient – Svedberg unit – [S]: §45 signal transmission rate – baud – Bd: §48 slope – percent of slope – %[slope]: §44 solid angle – spere – sph: §47 solid angle – steradian – sr: §30 some reference standard, procedure defined amount of an allergen using – allergen unit – [AU]: §45 spectral density, amplitude – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 standard, procedure defined amount of an allergen using some reference – allergen unit – [AU]: §45 stroke work, proportional to ventricular – gram meter per heartbeat – g.m/{H.B.}: §50 stroke work, ventricular – gram-force meter per heartbeat – gf.m/{H.B.}: §50 substance (dissolved particles), amount of – osmole – osm: §45 substance, amount of – equivalents – eq: §45 substance, amount of – mole – mol: §30 substance, procedure defined amount of a poliomyelitis d-antigen – D-antigen unit – [D'ag'U]: §45 substance, procedure defined amount of a protein – protein nitrogen unit – [PNU]: §45 substance, procedure defined amount of an antigen – Limit of flocculation – [Lf]: §45 sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal
- dilution for 50mm – bioequivalent allergen unit – [BAU]: §45 temperature – degree Celsius – Cel: §30 temperature – degree Fahrenheit – [degF]: §43 temperature – degree Rankine – [degR]: §43 temperature – degree Réaumur – [degRe]: §43 temperature – kelvin – K: §28 tension, magnetic – Gilbert – Gb: §33 testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated
- through in-vivo – bioequivalent allergen unit – [BAU]: §45 testing using the Stallergenes® method., amount of an allergen callibrated through in-vivo – index of reactivity – [IR]:
- §45 textile thread), linear mass density (of – Denier – [den]: §43 textile thread), linear mass density (of – tex – tex: §43 thread), linear mass density (of textile – Denier – [den]: §43 thread), linear mass density (of textile – tex – tex: §43 through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of
- an allergen callibrated – bioequivalent allergen unit – [BAU]: §45 through in-vivo testing using the Stallergenes® method., amount of an allergen callibrated – index of reactivity – [IR]:
- §45 time – day – d: §31 time – hour – h: §31 time – mean Gregorian month – mo_g: §31 time – mean Gregorian year – a_g: §31 time – mean Julian month – mo_j: §31 time – mean Julian year – a_j: §31 time – minute – min: §31 time – month – mo: §31 time – second – s: §28 time – synodal month – mo_s: §31 time – tropical year – a_t: §31 time – week – wk: §31 time – year – a: §31 transmission rate, signal – baud – Bd: §48 tuberculin, biologic activity of – tuberculin unit – [tb'U]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit, arbitrary ELISA – ELISA unit – [ELU]: §45 using some reference standard, procedure defined amount of an allergen – allergen unit – [AU]: §45 using the Stallergenes® method., amount of an allergen callibrated through in-vivo testing – index of reactivity – [IR]:
- §45 velocity – knot – [kn_br]: §36 velocity – knot – [kn_i]: §34 velocity – velocity of light – [c]: §32 ventricular stroke work – gram-force meter per heartbeat – gf.m/{H.B.}: §50 ventricular stroke work, proportional to – gram meter per heartbeat – g.m/{H.B.}: §50 view area in microscope – high power field – [HPF]: §45 view area in microscope – low power field – [LPF]: §45 viscosity, dynamic – Poise – P: §33 viscosity, kinematic – Stokes – St: §33 volume – board foot – [bf_i]: §34 volume – bushel – [bu_br]: §38 volume – cord – [cr_i]: §34 volume – cubic foot – [cft_i]: §34 volume – cubic inch – [cin_i]: §34 volume – cubic yard – [cyd_i]: §34 volume – cup – [cup_us]: §37 volume – drop – [drp]: §44 volume – fluid dram – [fdr_br]: §38 volume – fluid ounce – [foz_br]: §38 volume – gallon – [gal_br]: §38 volume – gill – [gil_br]: §38 volume – liter – L: §31 volume – liter – l: §31 volume – metric cup – [cup_m]: §37 volume – metric tablespoon – [tbs_m]: §37 volume – metric teaspoon – [tsp_m]: §37 volume – minim – [min_br]: §38 volume – peck – [pk_br]: §38 volume – pint – [pt_br]: §38 volume – quart – [qt_br]: §38 volume – stere – st: §47 volume – tablespoon – [tbs_us]: §37 volume – teaspoon – [tsp_us]: §37 volume, dry – bushel – [bu_us]: §37 volume, dry – dry pint – [dpt_us]: §37 volume, dry – dry quart – [dqt_us]: §37 volume, dry – historical winchester gallon – [gal_wi]: §37 volume, dry – peck – [pk_us]: §37 volume, fluid – Queen Anne's wine gallon – [gal_us]: §37 volume, fluid – barrel – [bbl_us]: §37 volume, fluid – cord – [crd_us]: §37 volume, fluid – fluid dram – [fdr_us]: §37 volume, fluid – fluid ounce – [foz_us]: §37 volume, fluid – gill – [gil_us]: §37 volume, fluid – metric fluid ounce – [foz_m]: §37 volume, fluid – minim – [min_us]: §37 volume, fluid – pint – [pt_us]: §37 volume, fluid – quart – [qt_us]: §37 water, depth of – fathom – [fth_i]: §34 work, proportional to ventricular stroke – gram meter per heartbeat – g.m/{H.B.}: §50 work, ventricular stroke – gram-force meter per heartbeat – gf.m/{H.B.}: §50 x-ray attenuation – Hounsfield unit – [hnsf'U]: §44
+
(Hahnemann), homeopathic potency – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 (Hahnemann), homeopathic potency – homeopathic potency of decimal hahnemannian series – [hp_X]:
+ §44 (Hahnemann), homeopathic potency – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 (Hahnemann), homeopathic potency – homeopathic
+ potency of quintamillesimal hahnemannian series – [hp_Q]: §44 (Korsakov), homeopathic potency – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 (Korsakov),
+ homeopathic potency – homeopathic potency of decimal korsakovian series – [kp_X]: §44 (Korsakov), homeopathic potency – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 (Korsakov), homeopathic potency – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 (dissolved particles), amount of substance – osmole – osm:
+ §45 (heparin), biologic activity of factor Xa inhibitor – anti factor Xa unit – [anti'Xa'U]: §45 (infectivity) of an infectious agent preparation,
+ biologic activity – 50% cell culture infectious dose – [CCID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% embryo infectious dose – [EID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% tissue culture infectious dose – [TCID_50]: §45 (intradermal dilution for 50mm sum of erythema
+ diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of – bioequivalent allergen unit – [BAU]: §45 (of textile thread), linear mass density – Denier
+ – [den]: §43 (of textile thread), linear mass density – tex – tex: §43 (retired), homeopathic potency – homeopathic potency of centesimal series (retired)
+ – [hp'_C]: §44 (retired), homeopathic potency – homeopathic potency of decimal series (retired) – [hp'_X]: §44 (retired), homeopathic potency – homeopathic
+ potency of millesimal series (retired) – [hp'_M]: §44 (retired), homeopathic potency – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 (unclassified)
+ – Boltzmann constant – [k]: §32 (unclassified) – Newtonian constant of gravitation – [G]: §32 50mm sum of erythema diameters, amount of an allergen
+ callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for – bioequivalent allergen unit – [BAU]: §45 ELISA unit, arbitrary – ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo
+ testing based on the – bioequivalent allergen unit – [BAU]: §45 IgA, biologic activity of anticardiolipin – APL unit – [APL'U]: §45 IgG, biologic activity
+ of anticardiolipin – GPL unit – [GPL'U]: §45 IgM, biologic activity of anticardiolipin – MPL unit – [MPL'U]: §45 O, biologic activity antistreptolysin
+ – Todd unit – [todd'U]: §45 Stallergenes® method., amount of an allergen callibrated through in-vivo testing using the – index of reactivity – [IR]:
+ §45 VIII inhibitor, biologic activity of factor – Bethesda unit – [beth'U]: §45 Xa inhibitor (heparin), biologic activity of factor – anti factor Xa
+ unit – [anti'Xa'U]: §45 a lens, refraction of – diopter – [diop]: §44 a poliomyelitis d-antigen substance, procedure defined amount of – D-antigen
+ unit – [D'ag'U]: §45 a prism, refraction of – prism diopter – [p'diop]: §44 a proliferating organism, amount of – colony forming units – [CFU]:
+ §45 a protein substance, procedure defined amount of – protein nitrogen unit – [PNU]: §45 acceleration – Gal – Gal: §33 acceleration
+ – standard acceleration of free fall – [g]: §32 acidity – pH – [pH]: §45 action area – barn – b: §47 action
+ – Planck constant – [h]: §32 activity (infectivity) of an infectious agent preparation, biologic – 50% cell culture infectious dose – [CCID_50]: §45 activity
+ (infectivity) of an infectious agent preparation, biologic – 50% embryo infectious dose – [EID_50]: §45 activity (infectivity) of an infectious agent preparation, biologic – 50% tissue culture
+ infectious dose – [TCID_50]: §45 activity antistreptolysin O, biologic – Todd unit – [todd'U]: §45 activity of amylase, biologic – Dye unit – [dye'U]:
+ §45 activity of amylase, biologic – Somogyi unit – [smgy'U]: §45 activity of anticardiolipin IgA, biologic – APL unit – [APL'U]:
+ §45 activity of anticardiolipin IgG, biologic – GPL unit – [GPL'U]: §45 activity of anticardiolipin IgM, biologic – MPL unit – [MPL'U]: §45 activity of factor VIII inhibitor, biologic – Bethesda unit – [beth'U]: §45 activity of factor Xa inhibitor (heparin), biologic – anti factor Xa unit – [anti'Xa'U]:
+ §45 activity of phosphatase, biologic – Bodansky unit – [bdsk'U]: §45 activity of phosphatase, biologic – King-Armstrong unit – [ka'U]: §45 activity of tuberculin, biologic – tuberculin unit – [tb'U]: §45 activity, arbitrary biologic – Kunkel unit – [knk'U]: §45 activity,
+ arbitrary biologic – Mac Lagan unit – [mclg'U]: §45 activity, catalytic – Unit – U: §45 activity, catalytic – katal – kat: §45 activity,
+ metabolic cost of physical – metabolic equivalent – [MET]: §44 agent preparation, biologic activity (infectivity) of an infectious – 50% cell culture infectious dose – [CCID_50]: §45 agent preparation, biologic activity (infectivity) of an infectious – 50% embryo infectious dose – [EID_50]: §45 agent preparation, biologic activity (infectivity)
+ of an infectious – 50% tissue culture infectious dose – [TCID_50]: §45 agent, amount of an infectious – focus forming units – [FFU]: §45 agent, amount
+ of an infectious – plaque forming units – [PFU]: §45 allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount
+ of an – bioequivalent allergen unit – [BAU]: §45 allergen callibrated through in-vivo testing using the Stallergenes® method., amount of an – index of reactivity – [IR]:
+ §45 allergen of ragweed., procedure defined amount of the major – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 allergen using some
+ reference standard, procedure defined amount of an – allergen unit – [AU]: §45 amount of a poliomyelitis d-antigen substance, procedure defined – D-antigen unit – [D'ag'U]: §45 amount of a proliferating organism – colony forming units – [CFU]: §45 amount of a protein substance, procedure defined – protein nitrogen unit – [PNU]: §45 amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – bioequivalent allergen unit – [BAU]: §45 amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – index of reactivity – [IR]: §45 amount of an allergen using some reference
+ standard, procedure defined – allergen unit – [AU]: §45 amount of an antigen substance, procedure defined – Limit of flocculation – [Lf]: §45 amount
+ of an infectious agent – focus forming units – [FFU]: §45 amount of an infectious agent – plaque forming units – [PFU]: §45 amount of fibrinogen broken
+ down into the measured d-dimers – fibrinogen equivalent unit – [FEU]: §45 amount of information – bit – bit: §48 amount of information – bit – bit_s:
+ §48 amount of information – byte – By: §48 amount of substance (dissolved particles) – osmole – osm: §45 amount
+ of substance – equivalents – eq: §45 amount of substance – mole – mol: §30 amount of the major allergen of ragweed., procedure defined – allergen unit
+ for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 amplitude spectral density – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 amylase,
+ biologic activity of – Dye unit – [dye'U]: §45 amylase, biologic activity of – Somogyi unit – [smgy'U]: §45 an allergen callibrated through in-vivo
+ testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of – bioequivalent allergen unit – [BAU]: §45 an allergen callibrated through in-vivo
+ testing using the Stallergenes® method., amount of – index of reactivity – [IR]:
+ §45 an allergen using some reference standard, procedure defined amount of – allergen unit – [AU]: §45 an antigen substance, procedure defined amount
+ of – Limit of flocculation – [Lf]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% cell culture infectious dose – [CCID_50]: §45 an
+ infectious agent preparation, biologic activity (infectivity) of – 50% embryo infectious dose – [EID_50]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% tissue
+ culture infectious dose – [TCID_50]: §45 an infectious agent, amount of – focus forming units – [FFU]: §45 an infectious agent, amount of – plaque
+ forming units – [PFU]: §45 angle, plane – circle – circ: §47 angle, plane – degree – deg: §31 angle, plane
+ – gon grade – gon: §31 angle, plane – minute – ': §31 angle, plane – radian – rad: §28 angle, plane – second
+ – '': §31 angle, solid – spere – sph: §47 angle, solid – steradian – sr: §30 anticardiolipin IgA, biologic
+ activity of – APL unit – [APL'U]: §45 anticardiolipin IgG, biologic activity of – GPL unit – [GPL'U]: §45 anticardiolipin IgM, biologic activity of
+ – MPL unit – [MPL'U]: §45 antigen substance, procedure defined amount of an – Limit of flocculation – [Lf]: §45 antistreptolysin O, biologic activity
+ – Todd unit – [todd'U]: §45 arbitrary ELISA unit – ELISA unit – [ELU]: §45 arbitrary biologic activity – Kunkel unit – [knk'U]:
+ §45 arbitrary biologic activity – Mac Lagan unit – [mclg'U]: §45 arbitrary – United States Pharmacopeia unit – [USP'U]: §45 arbitrary
+ – arbitary unit – [arb'U]: §45 arbitrary – international unit – [IU]: §45 arbitrary – international unit – [iU]: §45 area
+ in microscope, view – high power field – [HPF]: §45 area in microscope, view – low power field – [LPF]: §45 area – acre – [acr_br]: §36 area – acre – [acr_us]: §35 area – are – ar: §31 area – circular mil – [cml_i]: §34 area
+ – section – [sct]: §35 area – square foot – [sft_i]: §34 area – square inch – [sin_i]: §34 area – square
+ mile – [smi_us]: §35 area – square rod – [srd_us]: §35 area – square yard – [syd_i]: §34 area – township
+ – [twp]: §35 area, action – barn – b: §47 attenuation, x-ray – Hounsfield unit – [hnsf'U]: §44 based on the
+ ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing – bioequivalent allergen unit – [BAU]: §45 biologic activity
+ (infectivity) of an infectious agent preparation – 50% cell culture infectious dose – [CCID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% embryo infectious
+ dose – [EID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% tissue culture infectious dose – [TCID_50]: §45 biologic
+ activity antistreptolysin O – Todd unit – [todd'U]: §45 biologic activity of amylase – Dye unit – [dye'U]: §45 biologic activity of amylase – Somogyi
+ unit – [smgy'U]: §45 biologic activity of anticardiolipin IgA – APL unit – [APL'U]: §45 biologic activity of anticardiolipin IgG – GPL unit – [GPL'U]:
+ §45 biologic activity of anticardiolipin IgM – MPL unit – [MPL'U]: §45 biologic activity of factor VIII inhibitor – Bethesda unit – [beth'U]:
+ §45 biologic activity of factor Xa inhibitor (heparin) – anti factor Xa unit – [anti'Xa'U]: §45 biologic activity of phosphatase – Bodansky unit –
+ [bdsk'U]: §45 biologic activity of phosphatase – King-Armstrong unit – [ka'U]: §45 biologic activity of tuberculin – tuberculin unit – [tb'U]: §45 biologic activity, arbitrary – Kunkel unit – [knk'U]: §45 biologic activity, arbitrary – Mac Lagan unit – [mclg'U]: §45 brightness
+ – Lambert – Lmb: §33 broken down into the measured d-dimers, amount of fibrinogen – fibrinogen equivalent unit – [FEU]: §45 callibrated through in-vivo
+ testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen – bioequivalent allergen unit – [BAU]: §45 callibrated through in-vivo
+ testing using the Stallergenes® method., amount of an allergen – index of reactivity – [IR]:
+ §45 capacitance, electric – farad – F: §30 catalytic activity – Unit – U: §45 catalytic activity – katal
+ – kat: §45 catheters, gauge of – Charrière french – [Ch]: §44 charge, electric – coulomb – C: §28 charge,
+ electric – elementary charge – [e]: §32 coefficient, sedimentation – Svedberg unit – [S]: §45 concentration, mass – gram percent – g%: §45 conductance, electric – mho – mho: §47 conductance, electric – siemens – S: §30 cost of physical activity, metabolic – metabolic
+ equivalent – [MET]: §44 current, electric – Biot – Bi: §33 current, electric – ampère – A: §30 d-antigen
+ substance, procedure defined amount of a poliomyelitis – D-antigen unit – [D'ag'U]: §45 d-dimers, amount of fibrinogen broken down into the measured – fibrinogen equivalent unit – [FEU]:
+ §45 defined amount of a poliomyelitis d-antigen substance, procedure – D-antigen unit – [D'ag'U]: §45 defined amount of a protein substance, procedure
+ – protein nitrogen unit – [PNU]: §45 defined amount of an allergen using some reference standard, procedure – allergen unit – [AU]: §45 defined amount
+ of an antigen substance, procedure – Limit of flocculation – [Lf]: §45 defined amount of the major allergen of ragweed., procedure – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45 density (of textile thread), linear mass – Denier – [den]: §43 density (of textile thread), linear mass – tex – tex:
+ §43 density, amplitude spectral – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 density, lum. intensity – stilb – sb:
+ §33 density, magnetic flux – Gauss – G: §33 density, magnetic flux – tesla – T: §30 depth of water – fathom – [fth_i]: §34 diameters,
+ amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema – bioequivalent allergen unit – [BAU]: §45 dilution
+ for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal – bioequivalent allergen unit – [BAU]: §45 dose
+ equivalent – radiation equivalent man – REM: §33 dose equivalent – sievert – Sv: §30 dose, energy – gray – Gy: §30 dose,
+ energy – radiation absorbed dose – RAD: §33 dose, ion – Roentgen – R: §33 down into the measured d-dimers, amount of fibrinogen broken – fibrinogen
+ equivalent unit – [FEU]: §45 dry volume – bushel – [bu_us]: §37 dry volume – dry pint – [dpt_us]: §37 dry
+ volume – dry quart – [dqt_us]: §37 dry volume – historical winchester gallon – [gal_wi]: §37 dry volume – peck – [pk_us]: §37 dynamic
+ viscosity – Poise – P: §33 electric capacitance – farad – F: §30 electric charge – coulomb – C: §28 electric
+ charge – elementary charge – [e]: §32 electric conductance – mho – mho: §47 electric conductance – siemens – S: §30 electric
+ current – Biot – Bi: §33 electric current – ampère – A: §30 electric permittivity – permittivity of vacuum – [eps_0]: §32 electric
+ potential level – bel 10 nanovolt – B[10.nV]: §46 electric potential level – bel microvolt – B[uV]: §46 electric potential level – bel millivolt
+ – B[mV]: §46 electric potential level – bel volt – B[V]: §46 electric potential – volt – V: §30 electric
+ resistance – ohm – Ohm: §30 energy dose – gray – Gy: §30 energy dose – radiation absorbed dose – RAD: §33 energy
+ – British thermal unit at 39 °F – [Btu_39]: §43 energy – British thermal unit at 59 °F – [Btu_59]: §43 energy – British thermal unit
+ at 60 °F – [Btu_60]: §43 energy – British thermal unit – [Btu]: §43 energy – calorie at 15 °C – cal_[15]: §43 energy
+ – calorie at 20 °C – cal_[20]: §43 energy – calorie – cal: §43 energy – electronvolt – eV: §31 energy
+ – erg – erg: §33 energy – international table British thermal unit – [Btu_IT]: §43 energy – international table calorie – cal_IT: §43 energy – joule – J: §30 energy – mean British thermal unit – [Btu_m]: §43 energy – mean calorie – cal_m: §43 energy – nutrition label Calories – [Cal]: §43 energy – thermochemical British thermal unit – [Btu_th]: §43 energy –
+ thermochemical calorie – cal_th: §43 equivalent, dose – radiation equivalent man – REM: §33 equivalent, dose – sievert – Sv: §30 erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of – bioequivalent allergen unit – [BAU]: §45 factor VIII inhibitor, biologic activity of – Bethesda unit – [beth'U]: §45 factor Xa inhibitor (heparin), biologic activity of – anti factor Xa unit – [anti'Xa'U]:
+ §45 fibrinogen broken down into the measured d-dimers, amount of – fibrinogen equivalent unit – [FEU]: §45 field intensity, magnetic – Oersted
+ – Oe: §33 fluid resistance – Wood unit – [wood'U]: §44 fluid resistance – peripheral vascular resistance unit – [PRU]: §44 fluid
+ volume – Queen Anne's wine gallon – [gal_us]: §37 fluid volume – barrel – [bbl_us]: §37 fluid volume – cord – [crd_us]: §37 fluid volume – fluid dram – [fdr_us]: §37 fluid volume – fluid ounce – [foz_us]: §37 fluid volume – gill – [gil_us]:
+ §37 fluid volume – metric fluid ounce – [foz_m]: §37 fluid volume – minim – [min_us]: §37 fluid volume
+ – pint – [pt_us]: §37 fluid volume – quart – [qt_us]: §37 flux density, magnetic – Gauss – G: §33 flux
+ density, magnetic – tesla – T: §30 flux of magnetic induction – Maxwell – Mx: §33 flux, luminous – lumen – lm: §30 flux,
+ magnetic – weber – Wb: §30 force – dyne – dyn: §33 force – gram-force – gf: §32 force – newton – N:
+ §30 force – pound force – [lbf_av]: §32 fraction – parts per billion – [ppb]: §29 fraction – parts per million – [ppm]: §29 fraction – parts per thousand – [ppth]: §29 fraction – parts per trillion – [pptr]: §29 fraction – percent – %:
+ §29 fraction, mass – carat of gold alloys – [car_Au]: §47 frequency – hertz – Hz: §30 gauge of catheters
+ – Charrière french – [Ch]: §44 height of horses – hand – [hd_i]: §34 homeopathic potency (Hahnemann) – homeopathic potency of centesimal hahnemannian
+ series – [hp_C]: §44 homeopathic potency (Hahnemann) – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 homeopathic potency
+ (Hahnemann) – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 homeopathic potency (Hahnemann) – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]:
+ §44 homeopathic potency (Korsakov) – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 homeopathic potency (Korsakov) – homeopathic
+ potency of decimal korsakovian series – [kp_X]:
+ §44 homeopathic potency (Korsakov) – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 homeopathic potency (Korsakov) – homeopathic
+ potency of quintamillesimal korsakovian series – [kp_Q]: §44 homeopathic potency (retired) – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 homeopathic
+ potency (retired) – homeopathic potency of decimal series (retired) – [hp'_X]: §44 homeopathic potency (retired) – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 homeopathic potency (retired) – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 horses, height of – hand – [hd_i]: §34 illuminance – lux – lx: §30 illuminance – phot – ph: §33 in microscope, view area – high power field – [HPF]:
+ §45 in microscope, view area – low power field – [LPF]: §45 in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of
+ an allergen callibrated through – bioequivalent allergen unit – [BAU]: §45 in-vivo testing using the Stallergenes® method., amount of an allergen callibrated through – index of
+ reactivity – [IR]:
+ §45 inductance – henry – H: §30 induction, flux of magnetic – Maxwell – Mx: §33 infectious agent
+ preparation, biologic activity (infectivity) of an – 50% cell culture infectious dose – [CCID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50%
+ embryo infectious dose – [EID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50% tissue culture infectious dose – [TCID_50]: §45 infectious
+ agent, amount of an – focus forming units – [FFU]: §45 infectious agent, amount of an – plaque forming units – [PFU]: §45
+
+
information, amount of – bit – bit: §48 information, amount of – bit – bit_s: §48 information, amount of – byte – By: §48 inhibitor
+ (heparin), biologic activity of factor Xa – anti factor Xa unit – [anti'Xa'U]: §45 inhibitor, biologic activity of factor VIII – Bethesda unit – [beth'U]: §45 intensity
+ density, lum. – stilb – sb: §33 intensity, luminous – candela – cd: §28 intensity, magnetic field – Oersted – Oe: §33 into
+ the measured d-dimers, amount of fibrinogen broken down – fibrinogen equivalent unit – [FEU]: §45 ion dose – Roentgen – R: §33 kinematic viscosity
+ – Stokes – St: §33 length – Gunter's chain Surveyor's chain – [ch_us]: §35 length – Gunter's chain – [ch_br]: §36 length
+ – Printer's pica – [pca_pr]: §42 length – Printer's point – [pnt_pr]: §42 length – Ramden's chain Engineer's chain – [rch_us]: §35 length
+ – Smoot – [smoot]: §47 length – astronomic unit – AU: §31 length – cicero Didot's pica – [cicero]: §42 length
+ – didot Didot's point – [didot]: §42 length – fathom – [fth_br]: §36 length – fathom – [fth_us]: §35 length
+ – foot – [ft_br]: §36 length – foot – [ft_i]: §34 length – foot – [ft_us]: §35 length – furlong – [fur_us]:
+ §35 length – inch – [in_br]: §36 length – inch – [in_i]: §34 length – inch – [in_us]: §35 length – light-year – [ly]: §32 length – ligne French line – [ligne]: §42 length – line – [lne]: §42 length
+ – link for Gunter's chain – [lk_br]: §36 length – link for Gunter's chain – [lk_us]: §35 length – link for Ramden's chain – [rlk_us]: §35 length – meter – m: §28 length – mil – [mil_i]: §34 length – mil – [mil_us]: §35 length
+ – mile – [mi_br]: §36 length – mile – [mi_i]: §34 length – mile – [mi_us]: §35 length – nautical mile – [nmi_br]:
+ §36 length – nautical mile – [nmi_i]: §34 length – pace – [pc_br]: §36 length – parsec – pc: §31 length – pica – [pca]: §42 length – pied French foot – [pied]: §42 length – point – [pnt]: §42 length
+ – pouce French inch – [pouce]: §42 length – rod – [rd_br]: §36 length – rod – [rd_us]: §35 length – yard
+ – [yd_br]: §36 length – yard – [yd_i]: §34 length – yard – [yd_us]: §35 length – Ångström – Ao: §47 lens, refraction of a – diopter – [diop]: §44 level – bel – B: §46 level – neper – Np: §46 level,
+ electric potential – bel 10 nanovolt – B[10.nV]: §46 level, electric potential – bel microvolt – B[uV]: §46 level, electric potential – bel millivolt
+ – B[mV]: §46 level, electric potential – bel volt – B[V]: §46 level, power – bel kilowatt – B[kW]: §46 level,
+ power – bel watt – B[W]: §46 level, pressure – bel sound pressure – B[SPL]: §46 linear mass density (of textile thread) – Denier – [den]: §43 linear mass density (of textile thread) – tex – tex: §43 lineic number – Kayser – Ky: §33 lineic number – mesh – [mesh_i]:
+ §44 lum. intensity density – stilb – sb: §33 luminous flux – lumen – lm: §30 luminous intensity – candela
+ – cd: §28 magnetic field intensity – Oersted – Oe: §33 magnetic flux density – Gauss – G: §33 magnetic flux
+ density – tesla – T: §30 magnetic flux – weber – Wb: §30 magnetic induction, flux of – Maxwell – Mx: §33 magnetic
+ permeability – permeability of vacuum – [mu_0]: §32 magnetic tension – Gilbert – Gb: §33 major allergen of ragweed., procedure defined amount of the
+ – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 mass concentration – gram percent – g%: §45 mass density (of textile thread), linear
+ – Denier – [den]: §43 mass density (of textile thread), linear – tex – tex: §43 mass fraction – carat of gold alloys – [car_Au]: §47 mass – dram drachm – [dr_ap]: §41 mass – dram – [dr_av]: §39 mass – electron mass – [m_e]: §32 mass
+ – grain – [gr]: §39 mass – gram – g: §28 mass – kilogram of wet tissue – kg{wet'tis}: §50 mass – long hunderdweight
+ British hundredweight – [lcwt_av]: §39 mass – long ton British ton – [lton_av]: §39 mass – metric carat – [car_m]: §47 mass
+ – metric ounce – [oz_m]: §41 mass – milligram of creatinine – mg{creat}: §50 mass – ounce – [oz_ap]: §41 mass
+ – ounce – [oz_av]: §39 mass – ounce – [oz_tr]: §40 mass – pennyweight – [pwt_tr]: §40 mass – pound – [lb_ap]:
+ §41 mass – pound – [lb_av]: §39 mass – pound – [lb_tr]: §40 mass – proton mass – [m_p]: §32 mass – scruple – [sc_ap]: §41 mass – short hundredweight U.S. hundredweight – [scwt_av]: §39 mass – short ton U.S. ton –
+ [ston_av]: §39 mass – stone British stone – [stone_av]: §39 mass – tonne – t: §31 mass – unified atomic mass
+ unit – u: §31 measured d-dimers, amount of fibrinogen broken down into the – fibrinogen equivalent unit – [FEU]: §45 metabolic cost of physical activity
+ – metabolic equivalent – [MET]: §44 method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL – bioequivalent
+ allergen unit – [BAU]: §45 method., amount of an allergen callibrated through in-vivo testing using the Stallergenes® – index of reactivity – [IR]:
+ §45 microscope, view area in – high power field – [HPF]: §45 microscope, view area in – low power field – [LPF]: §45 number
+ – particles total count – {tot}: §50 number – red blood cell count – {rbc}: §50 number – tablets – {tbl}: §50 number
+ – the number pi – [pi]: §29 number – the number ten for arbitrary powers – 10*: §29 number – the number ten for arbitrary powers – 10^: §29 number, lineic – Kayser – Ky: §33 number, lineic – mesh – [mesh_i]: §44 on the ID50EAL method of (intradermal dilution for
+ 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based – bioequivalent allergen unit – [BAU]: §45 organism, amount of a proliferating – colony forming
+ units – [CFU]: §45 particles), amount of substance (dissolved – osmole – osm: §45 permeability, magnetic – permeability of vacuum – [mu_0]: §32 permittivity, electric – permittivity of vacuum – [eps_0]: §32 phosphatase, biologic activity of – Bodansky unit – [bdsk'U]: §45 phosphatase,
+ biologic activity of – King-Armstrong unit – [ka'U]: §45 physical activity, metabolic cost of – metabolic equivalent – [MET]: §44 plane angle – circle
+ – circ: §47 plane angle – degree – deg: §31 plane angle – gon grade – gon: §31 plane angle – minute – ':
+ §31 plane angle – radian – rad: §28 plane angle – second – '': §31 poliomyelitis d-antigen substance, procedure
+ defined amount of a – D-antigen unit – [D'ag'U]: §45 potency (Hahnemann), homeopathic – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 potency
+ (Hahnemann), homeopathic – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 potency (Hahnemann), homeopathic – homeopathic potency of millesimal hahnemannian series – [hp_M]:
+ §44 potency (Hahnemann), homeopathic – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 potency (Korsakov), homeopathic –
+ homeopathic potency of centesimal korsakovian series – [kp_C]: §44 potency (Korsakov), homeopathic – homeopathic potency of decimal korsakovian series – [kp_X]: §44 potency
+ (Korsakov), homeopathic – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 potency (Korsakov), homeopathic – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]:
+ §44 potency (retired), homeopathic – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 potency (retired), homeopathic – homeopathic
+ potency of decimal series (retired) – [hp'_X]: §44 potency (retired), homeopathic – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 potency
+ (retired), homeopathic – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 potential level, electric – bel 10 nanovolt – B[10.nV]: §46 potential
+ level, electric – bel microvolt – B[uV]: §46 potential level, electric – bel millivolt – B[mV]: §46 potential level, electric – bel volt – B[V]:
+ §46 potential, electric – volt – V: §30 power level – bel kilowatt – B[kW]: §46 power level – bel watt –
+ B[W]: §46 power – horsepower – [HP]: §43 power – watt – W: §30 preparation, biologic activity (infectivity)
+ of an infectious agent – 50% cell culture infectious dose – [CCID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% embryo infectious dose – [EID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% tissue culture infectious dose – [TCID_50]: §45 pressure level – bel sound pressure – B[SPL]:
+ §46 pressure – bar – bar: §31 pressure – inch of mercury column – [in_i'Hg]: §44 pressure – inch of water
+ column – [in_i'H2O]: §44 pressure – meter of mercury column – m[Hg]: §44 pressure – meter of water column – m[H2O]: §44 pressure
+ – pascal – Pa: §30 pressure – pound per sqare inch – [psi]: §47 pressure – standard atmosphere – atm: §32 pressure
+ – technical atmosphere – att: §47 prism, refraction of a – prism diopter – [p'diop]: §44 procedure defined amount of a poliomyelitis d-antigen substance
+ – D-antigen unit – [D'ag'U]: §45 procedure defined amount of a protein substance – protein nitrogen unit – [PNU]: §45 procedure defined amount of an
+ allergen using some reference standard – allergen unit – [AU]: §45 procedure defined amount of an antigen substance – Limit of flocculation – [Lf]: §45 procedure
+ defined amount of the major allergen of ragweed. – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 proliferating organism, amount of a – colony forming units – [CFU]: §45 proportional to ventricular stroke work – gram meter per heartbeat – g.m/{H.B.}: §50 protein substance, procedure defined amount of a – protein nitrogen unit – [PNU]:
+ §45 radioactivity – Curie – Ci: §33 radioactivity – becquerel – Bq: §30 ragweed., procedure defined amount
+ of the major allergen of – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 rate, signal transmission – baud – Bd: §48 reference standard,
+ procedure defined amount of an allergen using some – allergen unit – [AU]: §45 refraction of a lens – diopter – [diop]: §44 refraction of a prism –
+ prism diopter – [p'diop]: §44 resistance, electric – ohm – Ohm: §30 resistance, fluid – Wood unit – [wood'U]: §44 resistance,
+ fluid – peripheral vascular resistance unit – [PRU]: §44 sedimentation coefficient – Svedberg unit – [S]: §45 signal transmission rate – baud – Bd:
+ §48 slope – percent of slope – %[slope]: §44 solid angle – spere – sph: §47 solid angle – steradian – sr:
+ §30 some reference standard, procedure defined amount of an allergen using – allergen unit – [AU]: §45 spectral density, amplitude – meter per square
+ seconds per square root of hertz – [m/s2/Hz^(1/2)]:
+ §47 standard, procedure defined amount of an allergen using some reference – allergen unit – [AU]: §45 stroke work, proportional to ventricular – gram
+ meter per heartbeat – g.m/{H.B.}: §50 stroke work, ventricular – gram-force meter per heartbeat – gf.m/{H.B.}: §50 substance (dissolved particles),
+ amount of – osmole – osm: §45 substance, amount of – equivalents – eq: §45 substance, amount of – mole – mol: §30 substance,
+ procedure defined amount of a poliomyelitis d-antigen – D-antigen unit – [D'ag'U]: §45 substance, procedure defined amount of a protein – protein nitrogen unit – [PNU]: §45 substance,
+ procedure defined amount of an antigen – Limit of flocculation – [Lf]: §45 sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of
+ (intradermal dilution for 50mm – bioequivalent allergen unit – [BAU]: §45 temperature – degree Celsius – Cel: §30 temperature – degree Fahrenheit –
+ [degF]: §43 temperature – degree Rankine – [degR]: §43 temperature – degree Réaumur – [degRe]: §43 temperature
+ – kelvin – K: §28 tension, magnetic – Gilbert – Gb: §33 testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters,
+ amount of an allergen callibrated through in-vivo – bioequivalent allergen unit – [BAU]: §45 testing using the Stallergenes® method., amount of an allergen callibrated through in-vivo – index
+ of reactivity – [IR]:
+ §45 textile thread), linear mass density (of – Denier – [den]: §43 textile thread), linear mass density (of – tex – tex: §43 thread),
+ linear mass density (of textile – Denier – [den]: §43 thread), linear mass density (of textile – tex – tex: §43 through in-vivo testing based on the
+ ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated – bioequivalent allergen unit – [BAU]: §45 through in-vivo testing using the Stallergenes®
+ method., amount of an allergen callibrated – index of reactivity – [IR]:
+ §45 time – day – d: §31 time – hour – h: §31 time – mean Gregorian month – mo_g: §31 time
+ – mean Gregorian year – a_g: §31 time – mean Julian month – mo_j: §31 time – mean Julian year – a_j: §31 time
+ – minute – min: §31 time – month – mo: §31 time – second – s: §28 time – synodal month – mo_s: §31 time – tropical year – a_t: §31 time – week – wk: §31 time – year – a: §31 transmission
+ rate, signal – baud – Bd: §48 tuberculin, biologic activity of – tuberculin unit – [tb'U]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit, arbitrary ELISA – ELISA unit – [ELU]: §45 using some reference standard, procedure defined amount of an allergen – allergen unit – [AU]: §45 using the Stallergenes® method., amount of an allergen callibrated through in-vivo testing – index of reactivity – [IR]:
+ §45 velocity – knot – [kn_br]: §36 velocity – knot – [kn_i]: §34 velocity – velocity of light – [c]:
+ §32 ventricular stroke work – gram-force meter per heartbeat – gf.m/{H.B.}: §50 ventricular stroke work, proportional to – gram meter per heartbeat
+ – g.m/{H.B.}: §50 view area in microscope – high power field – [HPF]: §45 view area in microscope – low power field – [LPF]: §45 viscosity,
+ dynamic – Poise – P: §33 viscosity, kinematic – Stokes – St: §33 volume – board foot – [bf_i]: §34 volume
+ – bushel – [bu_br]: §38 volume – cord – [cr_i]: §34 volume – cubic foot – [cft_i]: §34 volume – cubic inch
+ – [cin_i]: §34 volume – cubic yard – [cyd_i]: §34 volume – cup – [cup_us]: §37 volume – drop – [drp]:
+ §44 volume – fluid dram – [fdr_br]: §38 volume – fluid ounce – [foz_br]: §38 volume – gallon – [gal_br]: §38 volume
+ – gill – [gil_br]: §38 volume – liter – L: §31 volume – liter – l: §31 volume – metric cup – [cup_m]:
+ §37 volume – metric tablespoon – [tbs_m]: §37 volume – metric teaspoon – [tsp_m]:
+ §37 volume – minim – [min_br]: §38 volume – peck – [pk_br]: §38 volume – pint – [pt_br]: §38 volume – quart – [qt_br]: §38 volume – stere – st: §47 volume – tablespoon – [tbs_us]: §37 volume
+ – teaspoon – [tsp_us]: §37 volume, dry – bushel – [bu_us]: §37 volume, dry – dry pint – [dpt_us]: §37 volume,
+ dry – dry quart – [dqt_us]: §37 volume, dry – historical winchester gallon – [gal_wi]: §37 volume, dry – peck – [pk_us]: §37 volume,
+ fluid – Queen Anne's wine gallon – [gal_us]: §37 volume, fluid – barrel – [bbl_us]: §37 volume, fluid – cord – [crd_us]: §37 volume, fluid – fluid dram – [fdr_us]: §37 volume, fluid – fluid ounce – [foz_us]: §37 volume, fluid – gill – [gil_us]:
+ §37 volume, fluid – metric fluid ounce – [foz_m]: §37 volume, fluid – minim – [min_us]: §37 volume, fluid
+ – pint – [pt_us]: §37 volume, fluid – quart – [qt_us]: §37 water, depth of – fathom – [fth_i]: §34 work,
+ proportional to ventricular stroke – gram meter per heartbeat – g.m/{H.B.}: §50 work, ventricular stroke – gram-force meter per heartbeat – gf.m/{H.B.}: §50 x-ray
+ attenuation – Hounsfield unit – [hnsf'U]: §44
-
-
+
+
-
-
D
-
-
-
-
Example Unit Terms
-
+
+
+ D
+
+
+
+
Example Unit Terms
+
-
-
- The following table lists example unit terms that are commonly used in
- medicine. Since the space of possible unit terms is infinite in theory
- and very large in practice, no attempt has been made on a systematic
- coverage of possible units. All necessary units can be built from the
- rules of The Unified Code for Units of Measure and there is no need of a particular term to be
- enumerated in order to be valid.
-
-
-
- The source of this table is the HL7 V2.4 table of units in chapter 7
- with many corrections and some modifications.
-
-
-
- The columns are: (1) the case sensitive unit term and variants; (2) a
- plain text reading; (3) example use; (4) canonical form. The canonical
- form, consisting of 3 columns: (4.1) the magnitude value of the unit term in
- terms of the canonical unit; (4.2) a canonical unit term; (4.3) if
- applicable a special conversion function code.
-
-
-
NOTE:
- When a special conversion function is specified, the conversion takes
- more than multiplication with a factor. Implementers should consult
- the UCUM specification or the reference implementation for details on
- how to apply these conversion functions.
-
-
-
- The example unit terms are given with alternatives for the following
- reason. The source of the example terms is the HL7 version 2.4
- specification of chapter 7. To show the essential differences between
- UCUM and the HL7 version 2.4 codes, the first column shows unit terms
- that are as similar to the HL7 2.4 published terms as
- possible. However, the HL7 version 2.4 suggested unit terms were
- sometimes unnecessarily complicated (e.g., the unit 1 dyn cast as 10
- μN; decimal factors instead of the standard multiplier prefixes,
- nested parenthetical terms in divisions, etc.), even sometimes
- suggesting deprecated conventional habits (e.g., using annotations
- like "/g{HGB}" instead of just "/g".) Hence, the second column
- "alternative suggestions" lists equivalent unit terms that are either
- more straightforward or more appropriate or both.
-
-
-
+
+
+ The following table lists example unit terms that are commonly used in medicine. Since the space of possible unit terms is infinite in theory and very large in practice, no attempt has been made on a systematic coverage of possible units. All necessary
+ units can be built from the rules of The Unified Code for Units of Measure and there is no need of a particular term to be enumerated in order to be valid.
+
+
+
+ The source of this table is the HL7 V2.4 table of units in chapter 7 with many corrections and some modifications.
+
+
+
+ The columns are: (1) the case sensitive unit term and variants; (2) a plain text reading; (3) example use; (4) canonical form. The canonical form, consisting of 3 columns: (4.1) the magnitude value of the unit term in terms of the canonical unit; (4.2)
+ a canonical unit term; (4.3) if applicable a special conversion function code.
+
+
+
NOTE: When a special conversion function is specified, the conversion takes more than multiplication with a factor. Implementers should consult the UCUM specification or the reference implementation for details on how to apply these conversion
+ functions.
+
+
+
+ The example unit terms are given with alternatives for the following reason. The source of the example terms is the HL7 version 2.4 specification of chapter 7. To show the essential differences between UCUM and the HL7 version 2.4 codes, the first column
+ shows unit terms that are as similar to the HL7 2.4 published terms as possible. However, the HL7 version 2.4 suggested unit terms were sometimes unnecessarily complicated (e.g., the unit 1 dyn cast as 10 μN; decimal factors instead of the
+ standard multiplier prefixes, nested parenthetical terms in divisions, etc.), even sometimes suggesting deprecated conventional habits (e.g., using annotations like "/g{HGB}" instead of just "/g".) Hence, the second column "alternative suggestions"
+ lists equivalent unit terms that are either more straightforward or more appropriate or both.
+
+
+
- Table
- 26: Example Unit Terms by Term
+ Table 26: Example Unit Terms by Term
-
-
unit term
-
suggested alternatives
-
name or "reading"
-
example use
-
canonical form value
-
canonical form unit
-
c.f. func
-
+
+
unit term
+
suggested alternatives
+
name or "reading"
+
example use
+
canonical form value
+
canonical form unit
+
c.f. func
+
-
-
/[arb'U]
-
-
per arbitrary unit
-
-
1
-
1
-
-
-
-
/[HPF]
-
-
per high power field
-
-
1
-
1
-
-
-
-
/[iU]
-
-
per international unit
-
-
1
-
1
-
-
-
-
/{tot}
-
-
per total count
-
-
1
-
1
-
-
-
-
/g{creat}
-
/g
-
per gram of creatinine
-
-
1
-
g-1
-
-
-
-
/g{HGB}
-
/g
-
per gram of hemoglobin
-
-
1
-
g-1
-
-
-
-
/g{tot'nit}
-
/g
-
per gram of total nitrogen
-
-
1
-
g-1
-
-
-
-
/g{tot'ptot}
-
/g
-
per gram of total protein
-
-
1
-
g-1
-
-
-
-
/g{wet'tis}
-
/g
-
per gram of wet tissue
-
-
1
-
g-1
-
-
-
-
/kg
-
-
per kilogram
-
-
0.001
-
g-1
-
-
-
-
/kg{body'wt}
-
/kg
-
per kilogram body weight
-
-
.001
-
g-1
-
-
-
-
/L
-
-
per liter
-
-
1000
-
m-3
-
-
-
-
/m3
-
-
per square meter
-
-
1
-
m-3
-
-
-
-
/min
-
-
per minute
-
-
0.0166666666666667
-
s-1
-
-
-
-
/mL
-
-
per milliliter
-
-
1000000
-
m-3
-
-
-
-
/mL
-
-
per milliliter
-
-
1000000
-
m-3
-
-
-
-
[iU]/d
-
-
international unit per day
-
-
1.15740740740741 × 10-5
-
s-1
-
-
-
-
[iU]/h
-
-
international unit per hour
-
-
0.000277777777777778
-
s-1
-
-
-
-
[iU]/kg
-
-
international unit per kilogram
-
-
0.001
-
g-1
-
-
-
-
[iU]/L
-
-
international unit per liter
-
-
1000
-
m-3
-
-
-
-
[iU]/min
-
-
international unit per minute
-
-
0.0166666666666667
-
s-1
-
-
-
-
[iU]/mL
-
-
international unit per milliliter
-
-
1000000
-
m-3
-
-
-
-
10*12/L
-
/pL
-
trillion per liter
-
-
1015
-
m-3
-
-
-
-
10*3.{RBC}
-
10*3
-
thousand red blood cells
-
-
1000
-
1
-
-
-
-
10*3/L
-
/mL
-
thousand per liter
-
-
1000000
-
m-3
-
-
-
-
10*3/mL
-
/uL
-
thousand per milliliter
-
-
1000000000
-
m-3
-
-
-
-
10*3/mm3
-
/nL
-
thousand cubic millimeter
-
white blood cell count
-
1000000000000
-
m-3
-
-
-
-
10*6/L
-
/uL
-
million per liter
-
-
1000000000
-
m-3
-
-
-
-
10*6/mL
-
/nL
-
million per milliliter
-
-
1000000000000
-
m-3
-
-
-
-
10*6/mm3
-
/pL
-
million per cubic millimeter
-
-
1015
-
m-3
-
-
-
-
10*9/L
-
/nL
-
billion per liter
-
-
1000000000000
-
m-3
-
-
-
-
10*9/mL
-
/pL
-
billion per milliliter
-
-
1015
-
m-3
-
-
-
-
10*9/mm3
-
/fL
-
billion per cubic millimeter
-
-
1018
-
m-3
-
-
-
-
10.L/(min.m2)
-
daL/min/m2
-
ten liter per minute and square meter (dekaliter per minute and square meter)
-
-
0.000166666666666667
-
m.s-1
-
-
-
-
10.L/min
-
daL/min
-
ten liter per minute (dekaliter per minute)
-
-
0.000166666666666667
-
m3.s-1
-
-
-
-
10.uN.s/(cm5.m2)
-
dyn.s/(cm5.m2) dyn.s/cm5/m2
-
dyne second per centimeter5 and square meter
-
systemic vascular resistance/body surface area
-
100000000
-
m-6.g.s-1
-
-
-
-
10.uN.s/cm5
-
dyn.s/cm5
-
dyne second per centimeter5
-
systemic vascular resistance
-
100000000
-
m-4.g.s-1
-
-
-
-
A/m
-
-
ampere per meter
-
-
1
-
m-1.s-1.C
-
-
-
-
cm
-
-
centimeter
-
-
0.01
-
m
-
-
-
-
cm[H2O]
-
-
centimeter H2O
-
-
98066.5
-
m-1.g.s-2
-
-
-
-
cm[H2O].s/L
-
cm[H2O]/(L/s)
-
centimeter H20 per ( liter per second ) (centimeter H20 second per liter)
-
mean pulmonary resistance
-
98066500
-
m-4.g.s-1
-
-
-
-
cm[H2O]/(s.m)
-
cm[H2O]/s/m
-
centimeter H20 per second and meter
-
pulmonary pressure time product
-
98066.5
-
m-2.g.s-3
-
-
-
-
cm2/s
-
-
square centimeter per second
-
-
0.0001
-
m2.s-1
-
-
-
-
dm2/s2
-
-
square dekameter per square second
-
-
0.01
-
m2.s-2
-
-
-
-
fg
-
-
femtogram
-
-
10-15
-
g
-
-
-
-
fL
-
-
femtoliter
-
-
10-18
-
m3
-
-
-
-
fmol
-
-
femtomole
-
-
602213670
-
1
-
-
-
-
g.m
-
-
gram meter
-
-
1
-
m.g
-
-
-
-
gf.m
-
-
gram-force meter
-
-
9.80665
-
m2.s-2.g
-
-
-
-
gf.m/({hb}.m2)
-
gf.m/{hb}/m2 gf/m
-
gram-force meter per heartbeat and square meter
-
-
9.80665
-
s-2.g
-
-
-
-
gf.m/{hb}
-
gf.m
-
gram-force meter per heartbeat
-
ventricular stroke work
-
9.80665
-
m2.s-2.g
-
-
-
-
g/(8.h)
-
-
gram per 8-hour shift
-
-
3.47222222222222 × 10-5
-
g.s-1
-
-
-
-
g/(8.kg.h)
-
g/kg/(8.h) 125/h
-
gram per kilogram and 8-hour shift
-
mass dose rate per body mass
-
3.47222222222222 × 10-8
-
s-1
-
-
-
-
g/(kg.d)
-
g/kg/d
-
gram per kilogram and day
-
mass dose rate per body mass
-
1.15740740740741 × 10-8
-
s-1
-
-
-
g/(kg.h)
-
g/kg/h 10*-3/h
-
gram per kilogram and hour
-
mass dose rate per body mass
-
2.77777777777778 × 10-7
-
s-1
-
-
-
-
g/(kg.min)
-
g/kg/min 10*-3/min
-
gram per kilogram and minute
-
mass dose rate per body mass
-
1.66666666666667 × 10-5
-
s-1
-
-
-
-
g/d
-
-
gram per day
-
-
1.15740740740741 × 10-5
-
g.s-1
-
-
-
-
g/dL
-
-
gram per deciliter
-
-
10000
-
m-3.g
-
-
-
-
g/h
-
-
gram per hour
-
-
0.000277777777777778
-
g.s-1
-
-
-
-
g/kg
-
1/1000
-
gram per kilogram
-
mass dose per body mass
-
0.001
-
1
-
-
-
-
g/L
-
-
gram per liter
-
-
1000
-
m-3.g
-
-
-
-
g/m2
-
-
gram per square meter
-
mass does per body surface area
-
1
-
m-2.g
-
-
-
-
g/min
-
-
gram per minute
-
-
0.0166666666666667
-
g.s-1
-
-
-
-
hL
-
-
hectoliter
-
-
0.1
-
m3
-
-
-
-
J/L
-
-
joule per liter
-
work of breathing
-
1000000
-
m-1.g.s-2
-
-
-
-
K/W
-
-
kelvin per watt
-
-
0.001
-
m-2.g-1.s3.K
-
-
-
-
kat/kg
-
-
katal per kilogram
-
-
6.02214076 × 1020
-
g-1.s-1
-
-
-
-
kat/L
-
-
katal per liter
-
-
6.02214076 × 1026
-
m-3.s-1
-
-
-
-
kcal
-
-
kilocalorie
-
-
4184000
-
m2.g.s-2
-
-
-
-
kcal/(8.h)
-
-
kilocalorie per 8-hour shift
-
-
145.277777777778
-
m2.g.s-3
-
-
-
-
kcal/d
-
-
kilocalorie per day
-
-
48.4259259259259
-
m2.g.s-3
-
-
-
-
kcal/h
-
-
kilocalorie per hour
-
-
1162.22222222222
-
m2.g.s-3
-
-
-
-
kg
-
-
kilogram
-
-
1000
-
g
-
-
-
-
kg.m/s
-
-
kilogram meter per second
-
-
1000
-
m.g.s-1
-
-
-
-
kg/(s.m2)
-
-
kilogram per second and square meter
-
-
1000
-
m-2.g.s-1
-
-
-
-
kg/h
-
-
kilogram per hour
-
-
0.277777777777778
-
g.s-1
-
-
-
-
kg/L
-
-
kilogram per liter
-
-
1000000
-
m-3.g
-
-
-
-
kg/m2
-
-
kilogram per square meter
-
-
1000
-
m-2.g
-
-
-
-
kg/m3
-
-
kilogram per cubic meter
-
-
1000
-
m-3.g
-
-
-
-
kg/min
-
-
kilogram per minute
-
-
16.6666666666667
-
g.s-1
-
-
-
-
kg/mol
-
-
kilogram per mole
-
-
1.66054018667494 × 10-21
-
g
-
-
-
-
kg/s
-
-
kilogram per second
-
-
1000
-
g.s-1
-
-
-
-
kPa
-
-
kilopascal
-
-
1000000
-
m-1.g.s-2
-
-
-
-
ks
-
-
kilosecond
-
-
1000
-
s
-
-
-
-
L.s2/s
-
L.s
-
liter square second per second
-
-
0.001
-
m3.s
-
-
-
-
L/(8.h)
-
-
liter per 8-hour shift
-
-
3.47222222222222 × 10-8
-
m3.s-1
-
-
-
-
L/(min.m2)
-
-
liter per minute and square meter
-
cardiac index (cardiac output per body surface area)
-
1.66666666666667 × 10-5
-
m.s-1
-
-
-
-
L/d
-
-
liter per day
-
-
1.15740740740741 × 10-8
-
m3.s-1
-
-
-
-
L/h
-
-
liter per hour
-
-
2.77777777777778 × 10-7
-
m3.s-1
-
-
-
-
L/kg
-
-
liter per kilogram
-
-
10-6
-
m3.g-1
-
-
-
-
L/min
-
-
liter per minute
-
-
1.66666666666667 × 10-5
-
m3.s-1
-
-
-
-
L/s
-
-
liter per second
-
peak expiratory flow
-
0.001
-
m3.s-1
-
-
-
-
lm/m2
-
-
lumen per square meter
-
-
1
-
m-2.rad2.cd
-
-
-
-
m/s
-
-
meter per second
-
-
1
-
m.s-1
-
-
-
-
m/s2
-
-
meter per square second
-
-
1
-
m.s-2
-
-
-
-
m[iU]/mL
-
-
milli-international unit per milliliter
-
-
1000
-
m-3
-
-
-
-
m2
-
-
square meter
-
body surface area
-
1
-
m2
-
-
-
-
m2/s
-
-
square meter per second
-
-
1
-
m2.s-1
-
-
-
-
m3/s
-
-
cubic meter per second
-
-
1
-
m3.s-1
-
-
-
-
mbar
-
-
millibar
-
-
100000
-
m-1.g.s-2
-
-
-
-
mbar.s/L
-
mbar/(L.s)
-
millibar per (liter per second) = millibar second per liter
-
expiratory resistance
-
100000000
-
m-4.g.s-1
-
-
-
-
meq
-
-
milliequivalent
-
-
6.02214076 × 1020
-
1
-
-
-
-
meq/(8.h)
-
-
milliequivalent per 8-hour shift
-
-
2.0910196875 × 1016
-
s-1
-
-
-
-
meq/(8.h.kg)
-
meq/kg/(8.h)
-
milliequivalent per kilogram and 8-hour shift
-
dose rate per patient body mass
-
20910196875000
-
g-1.s-1
-
-
-
-
meq/(kg.d)
-
meq/kg/d
-
milliequivalent per kilogram per day
-
dose rate per patient body mass
-
6970065625000
-
g-1.s-1
-
-
-
-
meq/(kg.h)
-
meq/kg/h
-
milliequivalent per kilogram per hour
-
dose rate per patient body mass
-
167281575000000
-
g-1.s-1
-
-
-
-
meq/(kg.min)
-
meq/kg/min
-
milliequivalent per kilogram and minute
-
dose rate per patient body mass
-
1.00368945 × 1016
-
g-1.s-1
-
-
-
-
meq/d
-
-
milliequivalent per day
-
-
6.970065625 × 1015
-
s-1
-
-
-
-
meq/h
-
-
milliequivalent per hour
-
-
1.67281575 × 1017
-
s-1
-
-
-
-
meq/kg
-
-
milliequivalent per kilogram
-
dose per patient body mass
-
6.02214076 × 1017
-
g-1
-
-
-
-
meq/L
-
-
milliequivalent per liter
-
-
6.02214076 × 1023
-
m-3
-
-
-
-
meq/m2
-
-
milliequivalent per square meter
-
dose per patient body surface area
-
6.02214076 × 1020
-
m-2
-
-
-
-
meq/min
-
-
milliequivalent per minute
-
-
1.00368945 × 1019
-
s-1
-
-
-
-
mg
-
-
milligram
-
-
0.001
-
g
-
-
-
-
mg/(8.h)
-
-
milligram per 8-hour shift
-
-
3.47222222222222 × 10-8
-
g.s-1
-
-
-
-
mg/(8.h.kg)
-
mg/kg/(8.h) 10*-6/(8.h)
-
milligram per kilogram and 8-hour shift
-
mass dose rate per patient body mass
-
3.47222222222222 × 10-11
-
s-1
-
-
-
-
mg/(kg.d)
-
mg/kg/d 10*-6/d
-
milligram per kilogram and day
-
mass dose rate per patient body mass
-
1.15740740740741 × 10-11
-
s-1
-
-
-
-
mg/(kg.h)
-
mg/kg/h 10*-6/h
-
milligram per kilogram and hour
-
mass dose rate per patient body mass
-
2.77777777777778 × 10-10
-
s-1
-
-
-
-
mg/(kg.min)
-
mg/kg/min 10*-6/min
-
milligram per kilogram and minute
-
mass dose rate per patient body mass
-
1.66666666666667 × 10-8
-
s-1
-
-
-
-
mg/d
-
-
milligram per day
-
-
1.15740740740741 × 10-8
-
g.s-1
-
-
-
-
mg/dL
-
-
milligram per deciliter
-
-
10
-
m-3.g
-
-
-
-
mg/h
-
-
milligram per hour
-
-
2.77777777777778 × 10-7
-
g.s-1
-
-
-
-
mg/kg
-
10*-6
-
milligram per kilogram
-
-
10-6
-
1
-
-
-
-
mg/L
-
-
milligram per liter
-
-
1
-
m-3.g
-
-
-
-
mg/m2
-
-
milligram per square meter
-
mass dose per patient body surface area
-
0.001
-
m-2.g
-
-
-
-
mg/m3
-
-
milligram per cubic meter
-
-
0.001
-
m-3.g
-
-
-
-
mg/min
-
-
milligram per minute
-
-
1.66666666666667 × 10-5
-
g.s-1
-
-
-
-
mL
-
-
milliliter
-
-
10-6
-
m3
-
-
-
-
mL/({h'b}.m2)
-
mL/m2
-
milliliter per heartbeat per square meter
-
ventricular stroke volume index
-
10-6
-
m
-
-
-
-
mL/(8.h)
-
-
milliliter per 8-hour shift
-
-
3.47222222222222 × 10-11
-
m3.s-1
-
-
-
-
mL/(8.h.kg)
-
mL/kg/(8.h)
-
milliliter per kilogram and 8-hour shift
-
renal excretion volume rate per body mass
-
3.47222222222222 × 10-14
-
m3.g-1.s-1
-
-
-
-
mL/(kg.d)
-
mL/kg/d
-
milliliter per kilogram and day
-
renal excretion volume rate per body mass
-
1.15740740740741 × 10-14
-
m3.g-1.s-1
-
-
-
-
mL/(kg.h)
-
mL/kg/h
-
milliliter per kilogram and hour
-
renal excretion volume rate per body mass
-
2.77777777777778 × 10-13
-
m3.g-1.s-1
-
-
-
-
mL/(kg.min)
-
mL/kg/min
-
milliliter per kilogram and minute
-
respiratory volume rate per body mass
-
1.66666666666667 × 10-11
-
m3.g-1.s-1
-
-
-
-
mL/(min.m2)
-
mL/m2/min
-
milliliter per minute and square meter
-
volume per body surface area; oxygen consumption index
-
1.66666666666667 × 10-8
-
m.s-1
-
-
-
-
mL/{h'b}
-
-
milliliter per heartbeat
-
stroke volume
-
10-6
-
m3
-
-
-
-
mL/cm[H2O]
-
-
milliliter per centimeters H20
-
dynamic lung compliance
-
1.01971621297793 × 10-11
-
m4.g-1.s2
-
-
-
-
mL/d
-
-
milliliter per day
-
-
1.15740740740741 × 10-11
-
m3.s-1
-
-
-
-
mL/h
-
-
milliliter per hour
-
-
2.77777777777778 × 10-10
-
m3.s-1
-
-
-
-
mL/kg
-
-
milliliter per kilogram
-
tidal volume per body mass
-
10-9
-
m3.g-1
-
-
-
-
mL/m2
-
-
milliliter per square meter
-
volume per patient body surface area
-
10-6
-
m
-
-
-
-
mL/mbar
-
-
milliliter per millibar
-
dynamic lung compliance
-
10-11
-
m4.g-1.s2
-
-
-
-
mL/min
-
-
milliliter per minute
-
-
1.66666666666667 × 10-8
-
m3.s-1
-
-
-
-
mL/s
-
-
milliliter per second
-
-
10-6
-
m3.s-1
-
-
-
-
mm
-
-
millimeter
-
-
0.001
-
m
-
-
-
-
mm/h
-
-
millimeter hour
-
-
2.77777777777778 × 10-7
-
m.s-1
-
-
-
-
mm[Hg]
-
-
millimeter Mercury column
-
-
133322
-
m-1.g.s-2
-
-
-
-
mmol/(8.h)
-
-
millimole per 8-hour shift
-
-
2.0910196875 × 1016
-
s-1
-
-
-
-
mmol/(8.h.kg)
-
mmol/kg/(8.h)
-
millimole per kilogram and 8-hour shift
-
molar dose rate per patient body mass
-
20910196875000
-
g-1.s-1
-
-
-
-
mmol/(kg.d)
-
mmol/kg/d
-
millimole per kilogram and day
-
molar dose rate per patient body mass
-
6970065625000
-
g-1.s-1
-
-
-
-
mmol/(kg.h)
-
mmol/kg/h
-
millimole per kilogram and hour
-
molar dose rate per patient body mass
-
167281575000000
-
g-1.s-1
-
-
-
-
mmol/(kg.min)
-
mmol/kg/min
-
millimole per kilogram and minute
-
molar dose rate per patient body mass
-
1.00368945 × 1016
-
g-1.s-1
-
-
-
-
mmol/h
-
-
millimole per hour
-
-
1.67281575 × 1017
-
s-1
-
-
-
-
mmol/kg
-
-
millimole per kilogram
-
molar dose per patient body mass
-
6.02214076 × 1017
-
g-1
-
-
-
-
mmol/L
-
-
millimole per liter
-
-
6.02214076 × 1023
-
m-3
-
-
-
-
mmol/m2
-
-
millimole per square meter
-
molar dose per patient body surface area
-
6.02214076 × 1020
-
m-2
-
-
-
-
mmol/min
-
-
millimole per minute
-
-
1.00368945 × 1019
-
s-1
-
-
-
-
mol/(kg.s)
-
mol/kg/s
-
mole per kilogram and second
-
-
6.02214076 × 1020
-
g-1.s-1
-
-
-
-
mol/kg
-
-
mole per Kilogram
-
-
6.02214076 × 1020
-
g-1
-
-
-
-
mol/L
-
-
mole per liter
-
-
6.02214076 × 1026
-
m-3
-
-
-
-
mol/m3
-
-
mole per cubic meter
-
-
6.02214076 × 1023
-
m-3
-
-
-
-
mol/s
-
-
mole per second
-
-
6.02214076 × 1023
-
s-1
-
-
-
-
mosm/L
-
-
milliosmole per liter
-
-
6.02214076 × 1023
-
m-3
-
-
-
-
Ms
-
-
megasecond
-
-
1000000
-
s
-
-
-
-
ms
-
-
millisecond
-
-
0.001
-
s
-
-
-
-
mV
-
-
millivolt
-
-
1
-
m2.g.s-2.C-1
-
-
-
-
N.s
-
-
newton second
-
-
1000
-
m.g.s-1
-
-
-
-
ng
-
-
nanogram
-
-
10-9
-
g
-
-
-
-
ng/(8.h)
-
-
nanogram per 8-hour shift
-
-
3.47222222222222 × 10-14
-
g.s-1
-
-
-
-
ng/(8.h.kg)
-
ng/kg/(8.h)
-
nanogram per kilogram and 8-hour shift
-
mass dose rate per patient body mass
-
3.47222222222222 × 10-17
-
s-1
-
-
-
-
ng/(kg.d)
-
ng/kg/d
-
nanogram per kilogram and day
-
mass dose rate per patient body mass
-
1.15740740740741 × 10-17
-
s-1
-
-
-
-
ng/(kg.h)
-
ng/kg/h
-
nanogram per kilogram and hour
-
mass dose rate per patient body mass
-
2.77777777777778 × 10-16
-
s-1
-
-
-
-
ng/(kg.min)
-
ng/kg/min
-
nanogram per kilogram and minute
-
mass dose rate per patient body mass
-
1.66666666666667 × 10-14
-
s-1
-
-
-
-
ng/d
-
-
nanogram per day
-
-
1.15740740740741 × 10-14
-
g.s-1
-
-
-
-
ng/h
-
-
nanogram per hour
-
-
2.77777777777778 × 10-13
-
g.s-1
-
-
-
-
ng/kg
-
-
nanogram per kilogram
-
mass dose per patient body mass
-
10-12
-
1
-
-
-
-
ng/L
-
-
nanogram per liter
-
-
10-6
-
m-3.g
-
-
-
-
ng/m2
-
-
nanogram per square meter
-
mass dose per patient body surface area
-
10-9
-
m-2.g
-
-
-
-
ng/min
-
-
nanogram per minute
-
-
1.66666666666667 × 10-11
-
g.s-1
-
-
-
-
ng/mL
-
-
nanogram per milliliter
-
-
0.001
-
m-3.g
-
-
-
-
ng/s
-
-
nanogram per second
-
-
10-9
-
g.s-1
-
-
-
-
nkat
-
-
nanokatal
-
-
602213670000000
-
s-1
-
-
-
-
nm
-
-
nanometer
-
-
10-9
-
m
-
-
-
-
nmol/s
-
-
nanomole per second
-
-
602213670000000
-
s-1
-
-
-
-
ns
-
-
nanosecond
-
-
10-9
-
s
-
-
-
-
Ohm.m
-
-
ohm meter
-
-
1000
-
m3.g.s-1.C-2
-
-
-
-
osm/kg
-
-
osmole per kilogram
-
-
6.02214076 × 1020
-
g-1
-
-
-
-
osm/L
-
-
osmole per liter
-
-
6.02214076 × 1026
-
m-3
-
-
-
-
pA
-
-
picoampere
-
-
10-12
-
s-1.C
-
-
-
-
pg
-
-
picogram
-
-
10-12
-
g
-
-
-
-
pg/L
-
-
picogram per liter
-
-
10-9
-
m-3.g
-
-
-
-
pg/mL
-
-
picogram per milliliter
-
-
10-6
-
m-3.g
-
-
-
-
pkat
-
-
picokatal
-
-
602213670000
-
s-1
-
-
-
-
pm
-
-
picometer
-
-
10-12
-
m
-
-
-
-
pmol
-
-
picomole
-
-
602213670000
-
1
-
-
-
-
ps
-
-
picosecond
-
-
10-12
-
s
-
-
-
-
pT
-
-
picotesla
-
-
10-9
-
g.s-1.C-1
-
-
-
-
u[iU]
-
-
micro international unit
-
-
10-6
-
1
-
-
-
-
ueq
-
-
microequivalents
-
-
6.02214076 × 1017
-
1
-
-
-
-
ug
-
-
microgram
-
-
10-6
-
g
-
-
-
-
ug/(8.h)
-
-
microgram per 8-hour shift
-
-
3.47222222222222 × 10-11
-
g.s-1
-
-
-
-
ug/(kg.d)
-
ug/kg/d
-
microgram per kilogram and day
-
mass dose rate per patient body mass
-
1.15740740740741 × 10-14
-
s-1
-
-
-
-
ug/(kg.h)
-
ug/kg/h
-
microgram per kilogram and hour
-
mass dose rate per patient body mass
-
2.77777777777778 × 10-13
-
s-1
-
-
-
-
ug/(kg.min)
-
ug/kg/min
-
microgram per kilogram and minute
-
mass dose rate per patient body mass
-
1.66666666666667 × 10-11
-
s-1
-
-
-
-
ug/d
-
-
microgram per day
-
-
1.15740740740741 × 10-11
-
g.s-1
-
-
-
-
ug/dL
-
-
microgram per deciliter
-
-
0.01
-
m-3.g
-
-
-
-
ug/g
-
-
microgram per gram
-
-
10-6
-
1
-
-
-
-
ug/h
-
-
microgram per hour
-
-
2.77777777777778 × 10-10
-
g.s-1
-
-
-
-
ug/kg
-
-
microgram per kilogram
-
-
10-9
-
1
-
-
-
-
ug/kg/(8.h)
-
-
microgram per kilogram and 8-hour shift
-
mass dose rate per patient body mass
-
3.47222222222222 × 10-14
-
s-1
-
-
-
-
ug/L
-
-
microgram per liter
-
-
0.001
-
m-3.g
-
-
-
-
ug/m2
-
-
microgram per square meter
-
mass dose per patient body surface area
-
10-6
-
m-2.g
-
-
-
-
ug/min
-
-
microgram per minute
-
-
1.66666666666667 × 10-8
-
g.s-1
-
-
-
-
ukat
-
-
microkatal
-
-
6.02214076 × 1017
-
s-1
-
-
-
-
um
-
-
micrometer
-
-
10-6
-
m
-
-
-
-
umol
-
-
micromole
-
-
6.02214076 × 1017
-
1
-
-
-
-
umol/d
-
-
micromole per day
-
-
6970065625000
-
s-1
-
-
-
-
umol/L
-
-
micromole per liter
-
-
6.02214076 × 1020
-
m-3
-
-
-
-
umol/min
-
-
micromole per minute
-
-
1.00368945 × 1016
-
s-1
-
-
-
-
us
-
-
microsecond
-
-
10-6
-
s
-
-
-
-
uV
-
-
microvolt
-
-
0.001
-
m2.g.s-2.C-1
-
-
+
+
/[arb'U]
+
+
per arbitrary unit
+
+
1
+
1
+
+
+
+
/[HPF]
+
+
per high power field
+
+
1
+
1
+
+
+
+
/[iU]
+
+
per international unit
+
+
1
+
1
+
+
+
+
/{tot}
+
+
per total count
+
+
1
+
1
+
+
+
+
/g{creat}
+
/g
+
per gram of creatinine
+
+
1
+
g-1
+
+
+
+
/g{HGB}
+
/g
+
per gram of hemoglobin
+
+
1
+
g-1
+
+
+
+
/g{tot'nit}
+
/g
+
per gram of total nitrogen
+
+
1
+
g-1
+
+
+
+
/g{tot'ptot}
+
/g
+
per gram of total protein
+
+
1
+
g-1
+
+
+
+
/g{wet'tis}
+
/g
+
per gram of wet tissue
+
+
1
+
g-1
+
+
+
+
/kg
+
+
per kilogram
+
+
0.001
+
g-1
+
+
+
+
/kg{body'wt}
+
/kg
+
per kilogram body weight
+
+
.001
+
g-1
+
+
+
+
/L
+
+
per liter
+
+
1000
+
m-3
+
+
+
+
/m3
+
+
per square meter
+
+
1
+
m-3
+
+
+
+
/min
+
+
per minute
+
+
0.0166666666666667
+
s-1
+
+
+
+
/mL
+
+
per milliliter
+
+
1000000
+
m-3
+
+
+
+
/mL
+
+
per milliliter
+
+
1000000
+
m-3
+
+
+
+
[iU]/d
+
+
international unit per day
+
+
1.15740740740741 × 10-5
+
s-1
+
+
+
+
[iU]/h
+
+
international unit per hour
+
+
0.000277777777777778
+
s-1
+
+
+
+
[iU]/kg
+
+
international unit per kilogram
+
+
0.001
+
g-1
+
+
+
+
[iU]/L
+
+
international unit per liter
+
+
1000
+
m-3
+
+
+
+
[iU]/min
+
+
international unit per minute
+
+
0.0166666666666667
+
s-1
+
+
+
+
[iU]/mL
+
+
international unit per milliliter
+
+
1000000
+
m-3
+
+
+
+
10*12/L
+
/pL
+
trillion per liter
+
+
1015
+
m-3
+
+
+
+
10*3.{RBC}
+
10*3
+
thousand red blood cells
+
+
1000
+
1
+
+
+
+
10*3/L
+
/mL
+
thousand per liter
+
+
1000000
+
m-3
+
+
+
+
10*3/mL
+
/uL
+
thousand per milliliter
+
+
1000000000
+
m-3
+
+
+
+
10*3/mm3
+
/nL
+
thousand cubic millimeter
+
white blood cell count
+
1000000000000
+
m-3
+
+
+
+
10*6/L
+
/uL
+
million per liter
+
+
1000000000
+
m-3
+
+
+
+
10*6/mL
+
/nL
+
million per milliliter
+
+
1000000000000
+
m-3
+
+
+
+
10*6/mm3
+
/pL
+
million per cubic millimeter
+
+
1015
+
m-3
+
+
+
+
10*9/L
+
/nL
+
billion per liter
+
+
1000000000000
+
m-3
+
+
+
+
10*9/mL
+
/pL
+
billion per milliliter
+
+
1015
+
m-3
+
+
+
+
10*9/mm3
+
/fL
+
billion per cubic millimeter
+
+
1018
+
m-3
+
+
+
+
10.L/(min.m2)
+
daL/min/m2
+
ten liter per minute and square meter (dekaliter per minute and square meter)
+
+
0.000166666666666667
+
m.s-1
+
+
+
+
10.L/min
+
daL/min
+
ten liter per minute (dekaliter per minute)
+
+
0.000166666666666667
+
m3.s-1
+
+
+
+
10.uN.s/(cm5.m2)
+
dyn.s/(cm5.m2) dyn.s/cm5/m2
+
dyne second per centimeter5 and square meter
+
systemic vascular resistance/body surface area
+
100000000
+
m-6.g.s-1
+
+
+
+
10.uN.s/cm5
+
dyn.s/cm5
+
dyne second per centimeter5
+
systemic vascular resistance
+
100000000
+
m-4.g.s-1
+
+
+
+
A/m
+
+
ampere per meter
+
+
1
+
m-1.s-1.C
+
+
+
+
cm
+
+
centimeter
+
+
0.01
+
m
+
+
+
+
cm[H2O]
+
+
centimeter H2O
+
+
98066.5
+
m-1.g.s-2
+
+
+
+
cm[H2O].s/L
+
cm[H2O]/(L/s)
+
centimeter H20 per ( liter per second ) (centimeter H20 second per liter)
+
mean pulmonary resistance
+
98066500
+
m-4.g.s-1
+
+
+
+
cm[H2O]/(s.m)
+
cm[H2O]/s/m
+
centimeter H20 per second and meter
+
pulmonary pressure time product
+
98066.5
+
m-2.g.s-3
+
+
+
+
cm2/s
+
+
square centimeter per second
+
+
0.0001
+
m2.s-1
+
+
+
+
dm2/s2
+
+
square dekameter per square second
+
+
0.01
+
m2.s-2
+
+
+
+
fg
+
+
femtogram
+
+
10-15
+
g
+
+
+
+
fL
+
+
femtoliter
+
+
10-18
+
m3
+
+
+
+
fmol
+
+
femtomole
+
+
602213670
+
1
+
+
+
+
g.m
+
+
gram meter
+
+
1
+
m.g
+
+
+
+
gf.m
+
+
gram-force meter
+
+
9.80665
+
m2.s-2.g
+
+
+
+
gf.m/({hb}.m2)
+
gf.m/{hb}/m2 gf/m
+
gram-force meter per heartbeat and square meter
+
+
9.80665
+
s-2.g
+
+
+
+
gf.m/{hb}
+
gf.m
+
gram-force meter per heartbeat
+
ventricular stroke work
+
9.80665
+
m2.s-2.g
+
+
+
+
g/(8.h)
+
+
gram per 8-hour shift
+
+
3.47222222222222 × 10-5
+
g.s-1
+
+
+
+
g/(8.kg.h)
+
g/kg/(8.h) 125/h
+
gram per kilogram and 8-hour shift
+
mass dose rate per body mass
+
3.47222222222222 × 10-8
+
s-1
+
+
+
+
g/(kg.d)
+
g/kg/d
+
gram per kilogram and day
+
mass dose rate per body mass
+
1.15740740740741 × 10-8
+
s-1
+
+
+
g/(kg.h)
+
g/kg/h 10*-3/h
+
gram per kilogram and hour
+
mass dose rate per body mass
+
2.77777777777778 × 10-7
+
s-1
+
+
+
+
g/(kg.min)
+
g/kg/min 10*-3/min
+
gram per kilogram and minute
+
mass dose rate per body mass
+
1.66666666666667 × 10-5
+
s-1
+
+
+
+
g/d
+
+
gram per day
+
+
1.15740740740741 × 10-5
+
g.s-1
+
+
+
+
g/dL
+
+
gram per deciliter
+
+
10000
+
m-3.g
+
+
+
+
g/h
+
+
gram per hour
+
+
0.000277777777777778
+
g.s-1
+
+
+
+
g/kg
+
1/1000
+
gram per kilogram
+
mass dose per body mass
+
0.001
+
1
+
+
+
+
g/L
+
+
gram per liter
+
+
1000
+
m-3.g
+
+
+
+
g/m2
+
+
gram per square meter
+
mass does per body surface area
+
1
+
m-2.g
+
+
+
+
g/min
+
+
gram per minute
+
+
0.0166666666666667
+
g.s-1
+
+
+
+
hL
+
+
hectoliter
+
+
0.1
+
m3
+
+
+
+
J/L
+
+
joule per liter
+
work of breathing
+
1000000
+
m-1.g.s-2
+
+
+
+
K/W
+
+
kelvin per watt
+
+
0.001
+
m-2.g-1.s3.K
+
+
+
+
kat/kg
+
+
katal per kilogram
+
+
6.0221367 × 1020
+
g-1.s-1
+
+
+
+
kat/L
+
+
katal per liter
+
+
6.0221367 × 1026
+
m-3.s-1
+
+
+
+
kcal
+
+
kilocalorie
+
+
4184000
+
m2.g.s-2
+
+
+
+
kcal/(8.h)
+
+
kilocalorie per 8-hour shift
+
+
145.277777777778
+
m2.g.s-3
+
+
+
+
kcal/d
+
+
kilocalorie per day
+
+
48.4259259259259
+
m2.g.s-3
+
+
+
+
kcal/h
+
+
kilocalorie per hour
+
+
1162.22222222222
+
m2.g.s-3
+
+
+
+
kg
+
+
kilogram
+
+
1000
+
g
+
+
+
+
kg.m/s
+
+
kilogram meter per second
+
+
1000
+
m.g.s-1
+
+
+
+
kg/(s.m2)
+
+
kilogram per second and square meter
+
+
1000
+
m-2.g.s-1
+
+
+
+
kg/h
+
+
kilogram per hour
+
+
0.277777777777778
+
g.s-1
+
+
+
+
kg/L
+
+
kilogram per liter
+
+
1000000
+
m-3.g
+
+
+
+
kg/m2
+
+
kilogram per square meter
+
+
1000
+
m-2.g
+
+
+
+
kg/m3
+
+
kilogram per cubic meter
+
+
1000
+
m-3.g
+
+
+
+
kg/min
+
+
kilogram per minute
+
+
16.6666666666667
+
g.s-1
+
+
+
+
kg/mol
+
+
kilogram per mole
+
+
1.66054018667494 × 10-21
+
g
+
+
+
+
kg/s
+
+
kilogram per second
+
+
1000
+
g.s-1
+
+
+
+
kPa
+
+
kilopascal
+
+
1000000
+
m-1.g.s-2
+
+
+
+
ks
+
+
kilosecond
+
+
1000
+
s
+
+
+
+
L.s2/s
+
L.s
+
liter square second per second
+
+
0.001
+
m3.s
+
+
+
+
L/(8.h)
+
+
liter per 8-hour shift
+
+
3.47222222222222 × 10-8
+
m3.s-1
+
+
+
+
L/(min.m2)
+
+
liter per minute and square meter
+
cardiac index (cardiac output per body surface area)
+
1.66666666666667 × 10-5
+
m.s-1
+
+
+
+
L/d
+
+
liter per day
+
+
1.15740740740741 × 10-8
+
m3.s-1
+
+
+
+
L/h
+
+
liter per hour
+
+
2.77777777777778 × 10-7
+
m3.s-1
+
+
+
+
L/kg
+
+
liter per kilogram
+
+
10-6
+
m3.g-1
+
+
+
+
L/min
+
+
liter per minute
+
+
1.66666666666667 × 10-5
+
m3.s-1
+
+
+
+
L/s
+
+
liter per second
+
peak expiratory flow
+
0.001
+
m3.s-1
+
+
+
+
lm/m2
+
+
lumen per square meter
+
+
1
+
m-2.rad2.cd
+
+
+
+
m/s
+
+
meter per second
+
+
1
+
m.s-1
+
+
+
+
m/s2
+
+
meter per square second
+
+
1
+
m.s-2
+
+
+
+
m[iU]/mL
+
+
milli-international unit per milliliter
+
+
1000
+
m-3
+
+
+
+
m2
+
+
square meter
+
body surface area
+
1
+
m2
+
+
+
+
m2/s
+
+
square meter per second
+
+
1
+
m2.s-1
+
+
+
+
m3/s
+
+
cubic meter per second
+
+
1
+
m3.s-1
+
+
+
+
mbar
+
+
millibar
+
+
100000
+
m-1.g.s-2
+
+
+
+
mbar.s/L
+
mbar/(L.s)
+
millibar per (liter per second) = millibar second per liter
+
expiratory resistance
+
100000000
+
m-4.g.s-1
+
+
+
+
meq
+
+
milliequivalent
+
+
6.0221367 × 1020
+
1
+
+
+
+
meq/(8.h)
+
+
milliequivalent per 8-hour shift
+
+
2.0910196875 × 1016
+
s-1
+
+
+
+
meq/(8.h.kg)
+
meq/kg/(8.h)
+
milliequivalent per kilogram and 8-hour shift
+
dose rate per patient body mass
+
20910196875000
+
g-1.s-1
+
+
+
+
meq/(kg.d)
+
meq/kg/d
+
milliequivalent per kilogram per day
+
dose rate per patient body mass
+
6970065625000
+
g-1.s-1
+
+
+
+
meq/(kg.h)
+
meq/kg/h
+
milliequivalent per kilogram per hour
+
dose rate per patient body mass
+
167281575000000
+
g-1.s-1
+
+
+
+
meq/(kg.min)
+
meq/kg/min
+
milliequivalent per kilogram and minute
+
dose rate per patient body mass
+
1.00368945 × 1016
+
g-1.s-1
+
+
+
+
meq/d
+
+
milliequivalent per day
+
+
6.970065625 × 1015
+
s-1
+
+
+
+
meq/h
+
+
milliequivalent per hour
+
+
1.67281575 × 1017
+
s-1
+
+
+
+
meq/kg
+
+
milliequivalent per kilogram
+
dose per patient body mass
+
6.0221367 × 1017
+
g-1
+
+
+
+
meq/L
+
+
milliequivalent per liter
+
+
6.0221367 × 1023
+
m-3
+
+
+
+
meq/m2
+
+
milliequivalent per square meter
+
dose per patient body surface area
+
6.0221367 × 1020
+
m-2
+
+
+
+
meq/min
+
+
milliequivalent per minute
+
+
1.00368945 × 1019
+
s-1
+
+
+
+
mg
+
+
milligram
+
+
0.001
+
g
+
+
+
+
mg/(8.h)
+
+
milligram per 8-hour shift
+
+
3.47222222222222 × 10-8
+
g.s-1
+
+
+
+
mg/(8.h.kg)
+
mg/kg/(8.h) 10*-6/(8.h)
+
milligram per kilogram and 8-hour shift
+
mass dose rate per patient body mass
+
3.47222222222222 × 10-11
+
s-1
+
+
+
+
mg/(kg.d)
+
mg/kg/d 10*-6/d
+
milligram per kilogram and day
+
mass dose rate per patient body mass
+
1.15740740740741 × 10-11
+
s-1
+
+
+
+
mg/(kg.h)
+
mg/kg/h 10*-6/h
+
milligram per kilogram and hour
+
mass dose rate per patient body mass
+
2.77777777777778 × 10-10
+
s-1
+
+
+
+
mg/(kg.min)
+
mg/kg/min 10*-6/min
+
milligram per kilogram and minute
+
mass dose rate per patient body mass
+
1.66666666666667 × 10-8
+
s-1
+
+
+
+
mg/d
+
+
milligram per day
+
+
1.15740740740741 × 10-8
+
g.s-1
+
+
+
+
mg/dL
+
+
milligram per deciliter
+
+
10
+
m-3.g
+
+
+
+
mg/h
+
+
milligram per hour
+
+
2.77777777777778 × 10-7
+
g.s-1
+
+
+
+
mg/kg
+
10*-6
+
milligram per kilogram
+
+
10-6
+
1
+
+
+
+
mg/L
+
+
milligram per liter
+
+
1
+
m-3.g
+
+
+
+
mg/m2
+
+
milligram per square meter
+
mass dose per patient body surface area
+
0.001
+
m-2.g
+
+
+
+
mg/m3
+
+
milligram per cubic meter
+
+
0.001
+
m-3.g
+
+
+
+
mg/min
+
+
milligram per minute
+
+
1.66666666666667 × 10-5
+
g.s-1
+
+
+
+
mL
+
+
milliliter
+
+
10-6
+
m3
+
+
+
+
mL/({h'b}.m2)
+
mL/m2
+
milliliter per heartbeat per square meter
+
ventricular stroke volume index
+
10-6
+
m
+
+
+
+
mL/(8.h)
+
+
milliliter per 8-hour shift
+
+
3.47222222222222 × 10-11
+
m3.s-1
+
+
+
+
mL/(8.h.kg)
+
mL/kg/(8.h)
+
milliliter per kilogram and 8-hour shift
+
renal excretion volume rate per body mass
+
3.47222222222222 × 10-14
+
m3.g-1.s-1
+
+
+
+
mL/(kg.d)
+
mL/kg/d
+
milliliter per kilogram and day
+
renal excretion volume rate per body mass
+
1.15740740740741 × 10-14
+
m3.g-1.s-1
+
+
+
+
mL/(kg.h)
+
mL/kg/h
+
milliliter per kilogram and hour
+
renal excretion volume rate per body mass
+
2.77777777777778 × 10-13
+
m3.g-1.s-1
+
+
+
+
mL/(kg.min)
+
mL/kg/min
+
milliliter per kilogram and minute
+
respiratory volume rate per body mass
+
1.66666666666667 × 10-11
+
m3.g-1.s-1
+
+
+
+
mL/(min.m2)
+
mL/m2/min
+
milliliter per minute and square meter
+
volume per body surface area; oxygen consumption index
- Regenstrief Institute, Inc. and the Unified Codes for Units of Measures (UCUM) Organization are hereunder collectively referred
- to as "The Organization".
-
-
-
- Permission is hereby granted in perpetuity, without payment of license fees or royalties, to use, copy, or distribute the
- UCUM codes, UCUM Specification, and UCUM table (in all formats in which it is distributed by The Organization and the UCUM
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- terms and conditions:
-
-
- To prevent the dilution of the purpose of the Licensed Materials, i.e., that of providing a definitive standard for identifying
- units of measures in electronic documents and messages, users shall not use any of the Licensed Materials for the purpose
- of developing or promulgating a different standard for identifying units of measure, regardless of whether the intended use
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-
-
- Users shall not modify the Licensed Materials and may not distribute modified versions of the UCUM table (regardless of format)
- or UCUM Specification. Users shall not modify any existing contents, fields, description, or comments of the Licensed Materials,
- and may not add any new contents to it.
-
-
- Users shall not use any of the UCUM codes in a way that expressly or implicitly changes their meaning.
-
-
- RESERVED
-
-
- UCUM codes and other information from the UCUM table may be used in electronic messages communicating measurements without
- the need to include this Copyright Notice and License or a reference thereto in the message (and without the need to include
- all fields required by Section 7 hereof).
-
-
- Users may make and distribute an unlimited number of copies of the Licensed Materials. Each copy thereof must include this
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- Licensed Materials are distributed on a fixed storage medium (such as a CD-ROM), a printed copy of this Copyright Notice and
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-
-
- Subject to Section 1 and the other restrictions hereof, users may incorporate portions of the UCUM table and definitions into
- another master term dictionary (e.g. laboratory test definition database), or software program for distribution outside of
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-
-
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- ARE DISCLAIMED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.”
-
-
- If the master term dictionary or software program containing the UCUM table, UCUM definitions and/or UCUM specification is
- distributed with a printed license, this statement must appear in the printed license. Where the master term dictionary or
- software program containing the UCUM table, UCUM definitions, and/or UCUM specification is distributed on a fixed storage
- medium, a text file containing this information also must be stored on the storage medium in a file called "UCUM_short_license.txt".
- Where the master term dictionary or software program containing the UCUM table, UCUM definitions, and/or UCUM specification
- is distributed via the Internet, this information must be accessible on the same Internet page from which the product is available
- for download.
-
-
- Use and distribution of the Licensed Materials in ways that are not specifically discussed herein shall always be accompanied
- by the notice provided in Section 7 hereof. The guidelines for providing the notice that are contained in the last paragraph
- of Section 7 also shall apply. If a user has a question about whether a particular use of any of the Licensed Materials is
- permissible, the user is invited to contact The Organization by e-mail at ucum@unitsofmeasure.org.
-
-
- If the user desires to translate any of the Licensed Materials into a language other than English, then user shall notify
- The Organization via email at ucum@unitsofmeasure.org. Any such translation is a derivative work, and the user agrees and
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- cooperate with The Organization in the filing and reviewing of any copyright applications or other legal documents, and signing
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- United States, and in all foreign countries. No other right to create a derivative work of any of the Licensed Materials is
- hereby granted (except the right to translate into a language other than English granted in this Section 9), and The Organization
- reserves all other rights not specifically granted herein. All such translations shall be electronically transmitted to The
- Organization, and such translations shall be made available and are subject to the same license rights and restrictions contained
- herein. The Organization will give credit on its website to the user and/or entity that did the translation.
-
-
- The Organization welcome requests for new UCUM content (terms, codes or associated material such as text descriptions and
- synonyms) and suggestions about revisions to existing content within the Licensed Materials. Such submissions should be done
- on The Organization's web site http://unitsofmeasure.org/newticket.
-
-
- The names "UCUM Organization" may not be used in a way which could be interpreted as an endorsement or a promotion of any
- product or service without prior written permission of The Organization. To request written permission, please contact ucum@unitsofmeasure.org.
-
-
- DISCLAIMER: REGENSTRIEF INSTITUTE, INC. AND THE UCUM ORGANIZATION DO NOT ACCEPT LIABILITY FOR ANY OMISSIONS OR ERRORS IN THE
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- FROM A COURSE OF DEALING, TRADE USAGE, OR TRADE PRACTICE. FURTHER, NO WARRANTY OR REPRESENTATION IS MADE CONCERNING THE ACCURACY,
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- NOT ALLOW THE LIMITATION OR EXCLUSION OF CERTAIN WARRANTIES OR CONDITIONS, SO SOME OF THE FOREGOING MAY NOT APPLY TO YOU.
-
-
- This license shall be construed and interpreted in accordance with the laws of the State of Indiana, United States of America,
- excluding its conflicts of law rules.
-
-
-
-
-
Endnotes
-
-
- [source]
-
- Interestingly the authors of ENV 12435 forgot to include
- superscripts in the minimum requirements as given by subclause 7.1.4
- for which they do not specify an alternative.
-
+
+ [source] Interestingly the authors of ENV 12435 forgot to include superscripts in the minimum requirements as given by subclause 7.1.4 for which they do not specify an alternative.
+
-
- [source]
-
- A more extensive introduction into this semantics of units can be
- found in: Schadow G, McDonald CJ et al: Units of Measure in Clinical
- Information Systems; JAMIA 6(2); Mar/Apr 1999;
- p. 151–162.
-
+
+
+ [source] A more extensive introduction into this semantics of units can be found in: Schadow G, McDonald CJ et al: Units of Measure in Clinical Information Systems; JAMIA 6(2); Mar/Apr 1999; p. 151–162.
+
-
- [source]
-
- see the section about style in §§12ff, to find out
- how square brackets are actually used. Note, however, that the user
- has no choice about square bracket symbols, as these are fixed in the
- list of atomic unit symbols.
-
+
+
+ [source] see the section about style in §§12ff, to find out how square brackets are actually used. Note, however, that the user has no choice about square bracket symbols, as
+ these are fixed in the list of atomic unit symbols.
+
-
-
-
-
+
+
+
+
+
\ No newline at end of file
diff --git a/ucum.xml b/ucum.xml
old mode 100755
new mode 100644
index eac0665..ca0ba1e
--- a/ucum.xml
+++ b/ucum.xml
@@ -1,2148 +1,17859 @@
-The Unified Code for Units of Measure2.1$Revision: 441 $$Date: 2017-05-20 18:32:47 -0400 (Sat, 20 May 2017) $Gunther SchadowPragmatic Data LLCClement J. McDonaldNational Library of Medicine, Lister Hill1998-2014, Regenstrief Institute, Inc. and the UCUM Organization. All rigthts reserved.Introduction
The Unified Code for Units of Measure is a code system intended to include all units of
-measures being contemporarily used in international science,
-engineering, and business. The purpose is to facilitate unambiguous
-electronic communication of quantities together with their units. The
-focus is on electronic communication, as opposed to communication
-between humans. A typical application of The Unified Code for Units of Measure are electronic data
-interchange (EDI) protocols, but there is nothing that prevents it
-from being used in other types of machine communication.
-
The Unified Code for Units of Measure is inspired by and heavily based on ISO 2955-1983, ANSI
-X3.50-1986, and HL7's extensions called “ISO+”. The
-respective ISO and ANSI standards are both entitled
-“Representation of [...] units in systems with limited
-character sets” where ISO 2955 refers to SI and other units
-provided by ISO 1000-1981, while ANSI X3.50 extends ISO 2955 to
-include U.S. customary units. Because these standards carry the
-restriction of “limited character sets” in their names
-they seem to be of less value today, when graphical user interfaces and
-laser printers are in wide-spread use. For this reason, the european
-standard ENV 12435 in its clause 7.3 declares ISO 2955 obsolete.
-
-ENV 12435 is dedicated exclusively to the communication of
-measurements between humans in display and print, and does not provide
-codes that can be used in communication between systems. It does not
-even provide a specification that would allow communication of units
-from one system to the screen or printer of another system. The issue
-about displaying units in the common style defined by the 9th
-Conférence Générale des Poids et Mesures
-(CGPM) in 1947 is not just the character set. Although the
-Unicode standard and its predecessor ISO/IEC 10646 is
-the richest character set ever, it is still not enough to specify the
-presentation of units, because there are important typographical
-details such as superscripts, subscripts, roman and
-italics.
-Interestingly the authors of ENV 12435 forgot to include
-superscripts in the minimum requirements as given by subclause 7.1.4
-for which they do not specify an alternative.
-
-The real value of the restriction on the character set and
-typographical details, however, is not to cope with legacy systems and
-less powerful technology, but to facilitate unambiguous communication
-and interpretation of the meaning of units from one computer system to
-another. In this respect, ISO 2955 and ANSI X3.50 are not
-obsolete because there is no other standard that would fill in for
-inter-systems communication of units. However, ISO 2599 and ANSI
-X3.50 currently have severe defects:
-
-ISO 2955 and ANSI X3.50 contain numerous name conflicts,
-both direct conflicts (e.g., “a” being used
-for both “year” and “are”) and conflicts
-that are generated through combination of unit symbols with prefixes
-(e.g., “cd” means candela and centi-day and
-“PEV” means peta-volt and pico-electronvolt.)
-
-Neither ISO 2955 nor ANSI X3.50 cover all units that are
-currently used in practice. There are many more units in use than what
-is allowed by the Système International
-d'Unités (SI) and accompanying standards. For example,
-the older CGM-units dyne and erg are still used in the science of
-physiology. Although ANSI X3.50 extends ISO 2955 with some
-U.S. customary units, it is still not complete in this respect. For
-example it does not define the degree Fahrenheit.
-
-ANSI X3.50 is semantically ambiguous with respect to customary
-units, even if we do not consider the history and international
-aspects of customary units. Three systems of mass units are used in
-the U.S., avoirdupois used generally, apothecaries' used by
-pharmacists, and troy used in trade with Gold and other precious
-metals. ANSI X3.50 has no way to select any one of those
-specifically, which is bad in medicine, where both apothecaries' and
-avoirdupois weights are being used frequently.
-
-ISO 2955 and all standards that do only look for the resolutions
-and recommendations of the CGPM and the Comité
-International des Poids et Mesures (CIPM) as published by the
-Bureau International des Poids et Mesures (BIPM) and various
-ISO standards (ISO 1000 and ISO 31) fail to recognize that
-the needs in practice are often different from the ideal propositions
-of the CGPM. Although not allowed by the CGPM and related ISO
-standards, many other units are used in international sciences,
-healthcare, engineering, and business, both meaningfully and some
-units of questionable meaning. A coding system that is to be useful in
-practice must cover the requirements and habits of the
-practice—even some of the bad habits.
-
-None of the current standards attempt to specify a semantics of units
-that can be deployed in information systems with moderate
-requirements. Metrological standards such as those published by the
-BIPM are dedicated to maximal scientific correctness of reproducible
-definitions of units. These definitions make sense only to human
-specialists and can hardly be deployed to their full extent by any
-information system that is not dedicated to metrology. On the other
-hand, ISO 2955 and ANSI X3.50 provide no semantics at all for the
-codes they define.
-
The Unified Code for Units of Measure provides a single coding system for units that is complete,
-free of all ambiguities, and that assigns to each defined unit a
-concise semantics. In communication it is not only important that all
-communicating parties have the same repertoir of symbols, but also that
-all attach the same meaning to the symbols they exchange. The common
-meaning must be computationally verifiable. The Unified Code for Units of Measure assumes a
-semantics for units based on dimensional analysis.
-A more extensive introduction into this semantics of units can be
-found in: Schadow G, McDonald CJ et al: Units of Measure in Clinical
-Information Systems; JAMIA 6(2); Mar/Apr 1999;
-p. 151–162.
-
-In short, each unit is defined relative to a system of base units by a
-numeric factor and a vector of exponents by which the base units
-contribute to the unit to be defined. Although we can reflect all the
-meaning of units covered by dimensional analysis with this vector
-notation, the following tables do not show these vectors. One reason
-is that the vectors depend on the base system chosen and even on the
-ordering of the base units. The other reason is that these vectors are
-hard to understand to human readers while they can be easily derived
-computationally. Therefore we define new unit symbols using algebraic
-terms of other units. Those algebraic terms are also valid codes of
-The Unified Code for Units of Measure.
-
Grammar of Units and Unit Terms
§1 preliminaries
-
- ■1The Unified Code for Units of Measure consists of a basic set of terminal symbols for units, called
-atomic unit symbols or unit atoms, and multiplier
-prefixes. It also consists of an expression syntax by which these
-symbols can be combined to yield valid units.
- ■2
-The tables of terminal symbols are fixed as of every revision of
-The Unified Code for Units of Measure, additions, deletions or changes are not allowed.
- ■3
-All expression that can be derived from these terminal symbols and the
-expression syntax are valid codes. Any expression of The Unified Code for Units of Measure has a
-precisely defined semantics.
-
-The expression syntax of The Unified Code for Units of Measure generates an infinite number of codes
-with the consequence that it is impossible to compile a table of all
-valid units.
-
-That the tables of terminal symbols may not be extended does not mean
-that missing symbols will never be available in The Unified Code for Units of Measure. Suggestions
-for additions of new symbols are welcome and revisions of
-The Unified Code for Units of Measure will be released as soon as a change request has been approved.
-
§2 full and limited conformance
-
- ■1
-The semantics of The Unified Code for Units of Measure implies equivalence classes such that
-different expressions may have the same meaning.
- ■2
-Programs that declare full conformance with The Unified Code for Units of Measure must
-compare unit expressions by their semantics, i.e. they must detect
-equivalence for different expressions with the same meaning.
- ■3
-Programs with limited conformance may compare unit expressions
-literally and thus may not detect equivalence of unit expressions.
-
-The option for “limited conformace” allows The Unified Code for Units of Measure to be adopted
-even by less powerful systems that can not or do not want to deal with
-the full semantics of units. Those systems typically have a table of
-fixed unit expression literals that may be related to other literals
-with fixed conversion factors. Although these systems will have
-difficulties to receive unit expressions from various sources, they
-will at least send out valid expressions of The Unified Code for Units of Measure, which is an
-important step towards a commonly used coding scheme for units.
-
Character Set and Lexical Rules
§3 character set
-
- ■1 All expressions of The Unified Code for Units of Measure shall be built from characters of
-the 7-bit US-ASCII character set exclusively.
- ■2 Terminal unit symbols can consist of all ASCII characters in
-the range of 33–126 (0x21–0x7E) excluding
-
-double quotes (‘"’),
-parentheses (‘(’ and ‘)’),
-plus sign (‘+’'),
-minus sign (‘-’'),
-period (‘.’'),
-solidus (‘/’'),
-equal sign (‘=’'),
-square brackets (‘[’
- and ‘]’), and
-curly braces (‘{’ and ‘}’),
-
-which have special meaning.
- ■3 A terminal unit symbol can not consist of only digits
-(‘0’–‘9’) because
-those digit strings are interpreted as positive integer
-numbers. However, a symbol “10*” is allowed
-because it ends with a non-digit allowed to be part of a symbol.
- ■4 For every terminal symbol there is a case insensitive variant
-defined, to be used when there is a risk of upper and lower case to be
-confused. Although upper and lower case can be mixed in case
-insensitive symbols there is no meaning to the case. Case insensitive
-symbols are incompatible to the case senitive symbols.
-
-The 7-bit US-ASCII character code is the greatest common denominator
-that can be expected to be available in any communication environment.
-Only very few units normally require symbols from the greek alphabet
-and thus the cost of requiring Unicode does not outweigh the benefit.
-As explained above, the real issue about writing unit terms naturally
-is not the character set but the ability to write subscripts and
-superscripts and distinguish roman letters from italics.
-
-Some computer systems or programming languages still have the
-requirement of case insensitivity and some humans who are not familiar
-with SI units tend to confuse upper and lower case or can not
-interpret the difference in upper and lower case correctly. For this
-reason the case insensitive symbols are defined. Although The Unified Code for Units of Measure
-does not encourage use of case insensitive symbols where not
-absolutely necessary, in some circumstances the case insensitive
-representation may be the greatest common denominator. Thus some
-systems that can handle case sensitivity may end up using case
-insensitive symbols in order to communicate with less powerful
-systems.
-
-ISO 2955 and ANSI X3.50 call case sensitive symbols “mixed
-case” and case insensitive symbols “single case” and
-list two columns for “single case” symbols, one for upper
-case and one for lower case. In The Unified Code for Units of Measure all units can be written in
-mixed upper and lower case, but in the case insensitive variant the
-mixing of case does not matter.
-
-White space is not recognized in a a unit term and should generally
-not occur. UCUM implementations may flag whitespace as an error
-rather than ignore it. Whitespace is not used as a separator of
-otherwise ambiguous parts of a unit term.
-
§4 prefixes
-
- ■1Metric units (cf. §11) may be
-combinations of a unit symbol with a prefix symbol.
- ■2The unit symbol to be combined with the prefix must not itself
-contain a prefix. Such a prefix-less unit symbol is called unit
-atom.
- ■3Prefix and atom are connected immediately without any
-delimiter. Separation of an optional prefix from the atom occurs on
-the lexical level by finding a matching combination of an optional
-prefix and a unit atom.
- ■4 The prefix is the longest leading substring that matches a
-valid prefix where the remainder is a valid metric unit atom. If no
-such prefix can be matched, the unit atom is without prefix and may be
-both metric or non-metric.[1–3: ISO 1000, 3; ISO 2955-1983, 3.7;
-ANSI X3.50-1986, 3.7 (Rule No. 6).]
§5 square brackets
-
- ■1 Square brackets (‘[’ and
-‘]’) may be part of a
-unit atom at any place but only as matched pairs. Square brackets are
-lexical elements and not separate syntactical tokens. ■2 Within a matching pair of square brackets the full range of
-characters 33–126 can be used.
-see the section about style in §§12ff, to find out
-how square brackets are actually used. Note, however, that the user
-has no choice about square bracket symbols, as these are fixed in the
-list of atomic unit symbols.
-
■3 Square brackets do not determine the boundary between
-prefix and unit atom, but they never span the boundary of unit atoms.
- ■4
-Square brackets must not be nested.
-
-For example
-%
-“[abc+ef]”,
-“ab[c+ef]”,
-“[abc+]ef”, and
-“ab[c+ef]”
-%
-could all be valid symbols if defined in the tables.
-In “ab[c+ef]” either
-“a” or “ab”
-could be defined as a prefix, but not “ab[c”.
-
-Square brackets take on one task of round parentheses in HL7's
-“ISO+” code, where one use of parentheses is to augment
-unit symbols with suffixes, as in “mm(Hg)”.
-Another use is to enclose one full unit symbol into parentheses, as
-“(ka_u)” (for the King-Armstrong unit of
-catalytic amount of phosphatase). Apparently, in a unit symbol such
-enclosed one is supposed not to expect a prefix. Thus, even if
-“a_u” would have been defined,
-“(ka_u)” should not be matched against
-kilo-a_u.
-
-Parentheses, however, were also used for the nesting of terms since
-HL7 version 2.3. At this point it became ambiguous whether parentheses
-are part of the unit symbol or whether they are syntactic tokens. For
-instance, “(ka_u)” could mean a nested
-“ka_u” (where “k”
-could possibly be a prefix), but also the proper symbol
-“(ka_u)” that happens to have parentheses as
-part of the symbol. The Unified Code for Units of Measure uses parentheses for the usual meaning of
-term nesting and uses square brackets where HL7's “ISO+”
-assumes parentheses to be part of the unit symbol.
-
§6 curly braces
-
- ■1 The full range of characters 33–126 can be used within a
-pair of curly braces (‘{’ and
-‘}’). The material enclosed in curly braces is
-called annotation.
- ■2
-Annotations do not contribute to the semantics of the unit but are
-meaningless by definition. Therefore, any fully conformant parser must
-discard all annotations. Parsers of limited conformace should
-not value annotations in comparison of units.
- ■3
-Annotations do, however, signify the end of a unit symbol.
- ■4 An annotation without a leading symbol implies the default
-unit 1 (the unity).
- ■5
-Curly braces must not be nested.
-
-Curly braces are here because people want annotations and deeply
-believe that they need annotations. Especially in chemistry and
-biomedical sciences, there are traditional habits to write annotations
-at units or instead of units, such as “%vol.”,
-“RBC”, “CFU”, “kg(wet tis.)”, or
-“mL(total)”. These habits are hard to overcome. Any
-attempt of a coding scheme to restrict this percieved expressiveness
-will ultimately result in the coding scheme not being adopted, or just
-“half-way” adopted (which is as bad as not adopted).
-
-Two alternative responses to this reality exist: either give in to the
-bad habits and blow up of the code with dimension- and meaningless
-unit atoms, or canalize this habit so that it does no harm. The Unified Code for Units of Measure
-canalizes this habit using curly braces. Nevertheless we do continuing
-efforts to upgrade doubtful units to genuine units of The Unified Code for Units of Measure by
-defining and linking them to the other units as good as
-possible. Thus, “g%” is a valid metric unit
-atom (so that “mg%” is a valid unit too.)
-A drops, although quite imprecise, is a valid unit of volume
-“[drp]”. Even HPF and LPF (the so called
-“high-” and “low power field” in the
-microscope) have been defined so that at least they relate to each
-other.
-
Syntax Rules
§7 algebraic unit terms
-
- ■1 All units can be combined in an algebraic term using the
-operators for multiplication (period ‘.‘) and
-division (solidus ‘/’). ■2 The multiplication operator is mandatory it must not be
-omitted or replaced by a space. The multiplication operator is a
-strict binary operator that may occur only between two unit
-terms. ■3 The division operator can be used as a binary and unary
-operator, i.e. a leading solidus will invert the unit that directly
-follows it. ■4 Terms are evaluated from left to right with the period and the
-solidus having the same operator precedence. Multiple division
-operators are allowed within one term. [ISO 1000, 4.5.2; ISO 2955-1983, 3.3f; ANSI X3.50-1986, 3.3f
-(Rule No. 2f).]
-The use of the period instead of the asterisk
-(‘*’) as a multiplication operator continues a
-tradition codified in ISO 1000 and maintained in ISO 2955. Because
-floating point numbers may not occur in unit terms the period is not
-ambiguous. A period in a unit term has no other meaning than to be the
-multiplication operator.
-
-Since Resolution 7 of the 9th CGPM in 1948 the myth of ambiguity being
-introduced by more than one solidus lives on and is quoted in all
-standards concerning the writing of SI units. However, when the strict
-left to right rule is followed there is no ambiguity, neither with one
-solidus nor with more than one solidus. However, in human practice we
-find the tendency to assign a lower precedence to the solidus which
-misleads people to write a/b·c when they
-really mean a/(b·c). When this is
-rewritten as a/b/c there is actually less
-ambiguity that in a/b·c. So the real
-source of ambiguity is when a multiplication operator follows a
-solidus, not when there is more than one solidus in a term. Hence, we
-remove the restriction for only one solidus and introduce parentheses
-which may be used to remove any perceived ambiguity.
-
§8 integer numbers
-
- ■1 A positive integer number may appear in place of a simple unit
-symbol. ■2 Only a pure string of decimal digits
-(‘0’–‘9’)
-is interpreted as a number. If after one or more digits there is any
-non-digit character found that is valid for unit atoms, all the
-characters (including the digits) will be interpreted as a simple unit
-symbol.
-
-For example, the string “123” is a positive
-integer number while “12a” is a symbol.
-
-Note that the period is only used as a multiplication operator, thus
-“2.5” means 2 × 5 and is not equal to 5/2.
-
§9 exponents
-
- ■1 Simple units may be raised to a power. The exponent is an
-integer number and is written immediately behind the unit
-term. Negative exponents must be preceded by a minus sign
-(‘-’ positive exponents may be preceded by an
-optional plus sign (‘+’). ■2 If the simple unit raised to a power is a combination of a
-prefix and a unit atom, both are raised to the power, e.g. “1
-cm3” equals “10-6m3” not “10-2m3”.
-[ISO 2955-1983, 3.5f; ANSI X3.50-1986, 3.5f (Rule
-No. 4f).]
-ISO 2955 and ANSI X3.50 actually do not allow a plus sign leading a
-positive exponent. However, if there can be any perceived ambiguities,
-an explicit leading plus sign may be of help sometimes. The
-Unified Code for Units of Measures therefore allows such plus signs
-at exponents. The plus sign on positive exponents can be used to
-delimit exponents from integer numbers used as simple units. Thus,
-2+10 means 210 = 1024.
-
§10 nested terms
-
- ■1 Unit terms with operators may be enclosed in parentheses
-(‘(’ and ‘)’) and used
-in place of simple units. Normal left-to-right evaluation can be
-overridden with parentheses. ■2 Parenthesized terms are not considered unit atoms
-and hence must not be preceded by a prefix.
-Up until revision 1.9 there was a third clause
-“Since a unit term in parenthesis can be used in place of
-a simple unit, an exponent may follow on a closing parenthesis which
-raises the whole term within the parentheses to the power.”
-However this feature was inconsistent with any BNF or other syntax
-description ever provided, was never used and seems to have no
-relevant use case. For this reason this clause has been stricken.
-This is a tentative change. Users who have used this
-feature in the past, should please comment on this deprecation.
-If we receive indication that this feature was used by anyone, we
-would undo the deprecation. If no comments are received, the
-deprecation continues to take effect.
-
§11 metric and non-metric unit atoms
-
- ■1 Only metric unit atoms may be combined with a prefix.
- ■2 To be metric or not to be metric is a predicate assigned to
-each unit atom where that unit atom is defined.
- ■3 All base units are metric. No non-metric unit can be part of
-the basis.
- ■4 A unit must be a quantity on a ratio scale in order to be
-metric.
-
-The metric predicate accounts for the fact that there are units that
-are prefixed and others that are not. This helps to disambiguate the
-parsing of simple units into prefix and atom.
-
-To determine whether a given unit atom is metric or not is not
-trivial. It is a cultural phenomenon, subject to change, just like
-language, the meaning of words and how words can be used. At one time
-we can clearly tell right or wrong useage of words, but these
-decisions may need to be revised with the passage of time.
-
-Generally, metric units are those defined “in the spirit”
-of the metric system, that emerged in France of the 18th century and
-was rapidly adopted by scientists. Metric units are usually based on
-reproducible natural phenomena and are usually not part of a system of
-compareable units with different magintudes, especially not if the
-ratios of these units are not powers of 10. Instead, metric units use
-multiplier prefixes that magnify or diminish the value of the unit
-by powers of ten.
-
-Conversely, customary units are in the spirit of the middle age as
-most of them can be traced back into a time around the 10th century,
-some are even older from the Roman and Babylonian empires. Most
-customary units are based on the average size of human anatomical or
-botanic structures (e.g., foot, ell, fathom, grain, rod) and come in
-series of comparable units with ratios 1/2, 1/4, 1/12, 1/16, and
-others. Thus all customary units are non-metric
-
-Not all units from ISO 1000 are metric as degree, minute and second of
-plane angle are non-metric as well as minute, hour, day, month, and
-year. The second is a metric unit because it is a part of the SI
-basis, although it used to be part of a series of customary units
-(originating in the Babylonian era).
-
-Furthermore, for a unit to be metric it must be a quantity on a ratio
-scale where multiplication and division with scalars are defined. The
-Comité Consultatif d'Unités (CCU) decided
-in February 1995 that SI prefixes may be used with the degree
-Celsius. This statement has not been made explicitly before. This is
-an unfortunate decision because difference-scale units like the degree
-Celsius have no multiplication operation, so that the prefix value
-could be multiplied with the unit. Instead the prefix at non-ratio
-units scales the measurement value. One dekameter is 10 times of a
-meter, but there is no meaning to 10 times of 1 °C in the
-same way as 30 °C are not 3 times as much as
-10 °C. See §§21ff on how The Unified Code for Units of Measure finds a
-way to accomodate this different use of prefixes at units such as the
-degree Celsius, bel or neper.
-
Style
-Except for the rule on curly braces (§12), the
-rules on style govern the creation of the tables of unit atoms not
-their individual use. Users of The Unified Code for Units of Measure need not care about style rules
-(§§13–15) because users
-just use the symbols defined in the tables. Hence, style rules do not
-affect conformance to The Unified Code for Units of Measure. New submissions of unit atoms, however,
-must conform to the style rules.
-
§12 curly braces
-
- ■1
-Curly braces may be used to enclose annotations that are often written
-in place of units or behind units but that do not have a proper
-meaning of a unit and do not change the meaning of a unit.
- ■2
-Annotations have no semantic value.
-
-For example one can write “%{vol}”,
-“kg{total}”, or “{RBC}”
-(for “red blood cells”) as pseudo-units. However, these
-annotations do not have any effect on the semantics, which is why
-these example expressions are equivalent to
-“%”, “kg”, and
-“1” respectively.
-
§13 underscore
-
- ■1 When in print a unit would have a subscript, an underscore
-(‘_’) is used to separate the subscript from
-the stem of the unit symbol. ■2
-The subscript is part of the unit atom.
- ■3 subscripts are used to disambiguate the two units with the
-same name but different meanings.
-For example when distinguishing the International Table calorie from
-the thermochemical calorie, we would use 1 calIT or
-1 calth in print. The Unified Code for Units of Measure defines the symbols
-“cal_IT” and
-“cal_th” with the underscore signifying that
-“IT” and “th” are subscripts. Other examples
-are the distinctions between the Julian and Gregorian calendar year
-from the tropical year or the british imperial gallon from the U.S.
-gallon (see §31 and §§37ff).
-
§14 square brackets
-
- ■1 Square brackets enclose suffixes of unit symbols that change
-the meaning of a unit stem.
- ■2 All customary units shall be enclosed completely by square
-brackets.
- ■3
-Other unit atoms shall be enclosed in square brackets if they are very
-rare, if they will conflict with other units, or if they are normally
-not used as a unit symbol but do have a proper meaning as a unit in
-The Unified Code for Units of Measure.
- ■4
-Square brackets are part of the unit atom.
-
-For example 1 m H2O is written as
-“m[H2O]” in The Unified Code for Units of Measure because the suffix
-H2O changes the meaning of the unit atom for meter (length)
-to a unit of pressure.
-
-Customary units are defined in The Unified Code for Units of Measure in order to accomodate
-practical needs. However metric units are still prefered and the
-customary symbols should not interfere with metric symbols in any
-way. Thus, customary units are “stigmatized” by enclosing
-them into square brackets.
-
-If unit symbols for the purpose of display and print are derived from
-The Unified Code for Units of Measure units, the square brackets can be removed. However, display
-units are out of scope of The Unified Code for Units of Measure.
-
§15 apostrophe
-
- ■1
-The apostrophe (‘'’) is used to separate words
-or abbreviated words in a multi-word unit symbol.
- ■2
-Since units are mathematically defined symbols and not abbreviations
-of words, multi-word unit symbols should be defined only to reflect
-existing habits, not in order to create new ones.
- ■3
-Multi-word units should always be enclosed in square brackets.
-
-For example, such legacy units called “Bodansky unit” or
-“Todd unit” have the unit symbols
-“[bdsk'U]”, and
-“[todd'U]” respectively.
-
Semantics
§16 preliminaries
-
- ■1 The semantics of The Unified Code for Units of Measure is defined by the algebraic
-operations of multiplication, division and exponentiation between
-units, by the equivalence relations of equality and commensurability
-of units, and by the multiplication of a unit with a scalar.
- ■2 Every expression in The Unified Code for Units of Measure is mapped to one and only one
-semantic element. But every semantic element may have more than one
-valid representant in The Unified Code for Units of Measure.
- ■3
-The set of expressions in The Unified Code for Units of Measure is infinite.
-
§17 equality and commensurability
-
- ■1 The set of expressions in The Unified Code for Units of Measure has two binary, symmetric,
-reflexive, and transitive relations (equivalence relations)
-“equals” = and “is commensurable with”
-~. All expressions that are equal are also commensurable but not
-all commensurable expressions are equal.
§18 algebra of units
-
- ■1 The equivalence classes generated by the equality relation =
-are called units.
- ■2 The set of units U has a binary multiplication operator
-· that is associative and commutative and has the neutral
-element 1 (so called the unity). For each unit
-u ∈ U there is an inverse unit
-u-1 such that u ·
-u-1 = 1. Thus, (U, ·) is
-an Abelian group.
- ■3 The division operation u / v is defined as
-u · v-1. ■4 The exponentiation operation with integer exponents n
-is defined as un = Π1nu.
- ■5
-The product u' = ru of a real number scalar
- with the unit u is also a
-unit, where u' ~ u.
-
§19 dimension and magnitude
-
- ■1 The equivalence classes generated by the commensurability
-relation ~ are called dimensions. The set D
-of dimensions is infinite in principle, but only a finite subset of
-dimensions are used in practice. Thus, implementations of The Unified Code for Units of Measure need
-not be able to represent the infinite set of dimensions.
- ■2
-Two commensurable units that are not equal differ only by their
-magnitude.
- ■3 The quotient u / v of any two commensurable
-units u ~ v is of the same dimension as the
-unity (u / v ~ 1). This quotient is
-also equal to the unity multiplied with a scalar r: u / v = r1,
-where r is called the relative magnitude of
-u regarding v.
§20 base units
-
- ■1
-Any system of units is constructed from a finite set B of
-mutually independent base units B = {
-b1, b2, ...,
-bn }, on which any other unit u
-∈ U is defined as u = r1b1u1 ·
-r2b2u2 ·
-... · rnbnun,
-where r = r1 · r2
-·· · rn is called the
-magnitude of the unit u regarding B.
- ■2
-With respect to a basis B every unit can thus be
-represented as a pair (r, û) of magnitude r and dimension û =
-(u1, u2, ...,
-un).
- ■3
-Two sets of base units are equivalent if there is an isomorphism
-between the sets of units that they generate.
-
§19.1 allows to limit the set of
-supported dimensions. Most practically used units contain exponents of
--4 to +4. Thus if memory is
-limited, 4 bit per component of the dimension vector could be
-sufficient.
-
Special Units on non-ratio Scales
§21 special units
-
- ■1
-Those symbols that are used as units that imply a measurement on a
-scale other than a ratio scale (e.g., interval scale, logarithmic
-scale) are defined differently. These do not represent proper units as
-elements of the group (U,·). Therefore those special
-semantic entities are called special units, as opposed to
-proper units. The set of special units is denoted
-S, where S ∩ U = {}.
- ■2
-A special unit s ∈ S is defined as
-the triple (u, fs,
-fs-1) where u
-∈ U is the “corresponding” proper unit of
-s and where fs and
-fs-1 are mutually inverse
-real functions converting the measurement value to and from the
-special unit.
- ■3
-Although not elements of U, special units are said to be
-“of the same dimension” or “commensurable
-with” their corresponding proper unit u and the class
-of units commensurable with u. This can be expressed by means
-of a binary, symmetric, transitive and reflexive relation ≈
-on U ∪ S.
-
-The functions fs and
-fs-1 are applied as follows: let
-rs be the numeric measurement value
-expressed in the special unit s and let m be the
-corresponding dimensioned quantity, i.e., the measurement with proper
-unit u. Now, rs =
-fs(m/u) converts the proper
-measurement to the special unit and m =
-fs-1(rs)
-× u does the inverse.
-
§22 operations on special units
-
- ■1
-In theory, special units cannot take part in any algebraic operations,
-neither involving other units, nor themselves (exponentiation) nor
-involving scalars.
- ■2
-Special units are therefore non-metric units.
- ■3
-However, due to the requirement of the SI that does allow prefixes on
-the degree Celsius, special units may be scaled trough a prefix
-or an arbitrary numeric factor.
- ■4 The scale factor α is an
-additional component of the special unit, which in turn is defined by
-a quadruple s = (u, fs,
-fs-1, α). When the
-functions fs and
-fs-1 are applied to a measurement value
-x to convert to and from the special unit the scale factor is
-applied as follows: x' = fs(x) /
-α converts from x expressed in the corresponding
-proper unit to x' in terms of the special unit and x =
-fs-1(αx') does
-the reverse.
- ■5
-Multiplication of a special unit s = (u,
-fs,
-fs-1, α) with a
-scalar β is defined as
-βs = (u, fs,
-fs-1, βα). Multiplication of a special unit s with a
-dimensionless unit r1 is defined as rs.
-
-Since prefixes have a scalar value that multiplies the unit atom, a
-unit must at least have a defined multiplication operation with a
-scalar in order to be a candidate for the metric predicate. All proper
-units are candidates for the metric property, special units are no
-such candidates.
-
-The Comité Consultatif d'Unités (CCU)
-decided in February 1995 that any SI prefix may be used with degree
-Celsius. This statement has not been made explicitly before. This is
-an unfortunate decision because difference-scale units like the degree
-Celsius have no multiplication operation, so that the prefix value
-could be multiplied with the unit. Instead the prefix at non-ratio
-units scales the measurement value. One wonders why the CGPM keeps the
-celsius temperature in the SI as it is superfluous and in a unique way
-incoherent with the SI.
-
-The scale factor α is applied with the functions
-fs and fs-1
-as follows: let rs be the numeric measurement
-value expressed in the special unit s and let m be the
-corresponding dimensioned quantity, i.e., the measurement with proper
-unit u. Now, rs =
-fs(m/u) / α
-converts the proper measurement to the special unit and m =
-fs-1(αrs) × u does the reverse.
-
§23 definition of special units
-
- ■1
-Special units are marked in the definition tables for unit atoms by a
-bullet (‘•’) in the column titled “value”
-and a special expression in the column titled
-“definition”. The BNF for the special expression is <special-unit> ::= <function-symbol>“(”<floating-point-number>“”<term>“)” The function symbols are defined as
-needed.
- ■2
-Special expressions are not valid expressions in The Unified Code for Units of Measure,
-they are only used for defining special units.
-
Arbitrary Units
§24 arbitrary units
-
- ■1
-Arbitrary or procedure defined units are units whose meaning entirely
-depends on the measurement procedure (assay). These units have no
-general meaning in relation with any other unit in the SI. Therefore those arbitrary
-semantic entities are called arbitrary units, as opposed to
-proper units. The set of arbitrary units is denoted
-A, where A ∩ U = {}.
- ■2
-An arbitrary unit has no further definition in the semantic framework of The Unified Code for Units of Measure ■3
-Arbitrary units are not “of any specific dimension” and are
-not “commensurable with” any other unit.
-
-Until version 1.6 The Unified Code for Units of Measure has dealt with arbitrary units as dimensionless,
-but as an effect the semantics of The Unified Code for Units of Measure made all arbitrary units
-commensurable. Since version 1.7 of The Unified Code for Units of Measure it is no longer possible to
-convert or compare arbitrary units with any other arbitrary unit.
-
§25 operations on arbitrary units
-
- ■1
-Any term involving arbitrary units, is itself an arbitrary unit and is not
-comparable with any other arbitrary unit or term.
-
§26 definition of arbitrary units
-
- ■1
-Arbitrary units are marked in the definition tables for unit atoms by a
-bullet (‘•’) in the column titled “value”
-and a bullet in the column titled “definition”.
-
Tables of Terminal SymbolsPrefixes
§27 prefixes
-
- ■1
-Prefix symbols are those defined in .
- ■2 There are five columns titled “name,”
-“print,” “c/s,” “c/i,” and
-“value” The name is the full (official) name of the
-unit. The official symbol used in print this is listed in the column
-“print” “C/s,” and “c/i” list the
-symbol in the case sensitive and the case insensitive variants
-respectively. “Value” is the scalar value by which the
-unit atom is multiplied if combined with the prefix.
- ■3
-Only the columns titled “c/s,” “c/i,” and
-“value,” are normative. Full name and print symbol are
-defined by the CGPM and are out of scope of The Unified Code for Units of Measure.
-
-The case insensitive prefix symbols are slightly different from those
-defined by ISO 2955 and ANSI X3.50, where “giga-,”
-“tera-,” and “peta-” have been
-“G,” “T,” and
-“PE.” The Unified Code for Units of Measure has a larger set of unit atoms
-and needs to prevent more name conflicts. Tera and giga have a second
-letter to be safe in the future. The change of
-“PE” to “PT” would
-be the way to go for ISO 2955 which currently has a name conflict
-(among others) with peta-volt and pico-electronvolt.
-
-The new prefixes “yotta-,” “zetta-,”
-“yocto-,” and “zepto-” that were adopted by
-the 19th CGPM (1990) have a second letter ‘A’ and
-‘O’ resp. to avoid current and future conflicts and to
-disambiguate among themselves. The other submultiples
-“micro-” to “atto-” are represented by a
-single letter to keep with the tradition.
-
name
print
c/s
c/i
value
The prefix symbols
yotta
Y
Y
YA
1 × 1024
zetta
Z
Z
ZA
1 × 1021
exa
E
E
EX
1 × 1018
peta
P
P
PT
1 × 1015
tera
T
T
TR
1 × 1012
giga
G
G
GA
1 × 109
mega
M
M
MA
1 × 106
kilo
k
k
K
1 × 103
hecto
h
h
H
1 × 102
deka
da
da
DA
1 × 101
deci
d
d
D
1 × 10-1
centi
c
c
C
1 × 10-2
milli
m
m
M
1 × 10-3
micro
μ
u
U
1 × 10-6
nano
n
n
N
1 × 10-9
pico
p
p
P
1 × 10-12
femto
f
f
F
1 × 10-15
atto
a
a
A
1 × 10-18
zepto
z
z
ZO
1 × 10-21
yocto
y
y
YO
1 × 10-24
Base Units
§28 base units
-
- ■1 The base units shown in are used to
-define all the unit atoms of The Unified Code for Units of Measure according to its grammar and
-semantics.
- ■2 There are five columns titled “name,” “kind
-of quantity,” “print,” “c/s,” and
-“c/i.” The name is the full (official) name of the
-unit. The official symbol used in print this is listed in the column
-“print” “C/s,” and “c/i” list the
-symbol in the case sensitive and the case insensitive variants
-respectively.
- ■3
-Only the columns titled “c/s,” and “c/i,” are
-normative. Full name and print symbol are defined by other bodies and
-are out of scope of The Unified Code for Units of Measure.
- ■4 The selection of base units and the particular order are not
-normative. Any other basis B' that generates an
-isomorphic group of units is conformant with The Unified Code for Units of Measure.
- ■5
-If the other base B' generates a different system of units
-U' it conforms to The Unified Code for Units of Measure only if there is an homomorphism that maps
-U' onto U.
- ■6
-Base units must be metric units only. Special units can not be base
-units.
-
-As can be seen the base system used to define The Unified Code for Units of Measure is different
-from the system used by the Système International
-d'Unités (SI) The SI base unit kilogram has been
-replaced by gram and the mole has been replaced by the radian that is
-defined dimensionless in the SI. Because of the latter change The Unified Code for Units of Measure
-is not isomorphic with the SI.
-
-The replacement of the kilogram is trivial. In order to bring syntax
-and semantics in line we can not have a unit with prefix in the
-base. We need a valid unit of mass before we can combine it with the
-prefix “kilo-” This change does not have any effect on the
-semantics whatsoever. The base unit kilogram is one of the oddities
-of the SI: if the gram would have been chosen as a base units the CGPM
-could have saved the rather annoying exception of the prefixing rules
-with the kilogram. At times where we have to multiply the wavelength
-of excited krypton-86 atoms by 1650763.73 to yield one meter, it seems
-trivial to divide the prototype of the kilogram by thousand to yield a
-base unit gram.
-
-The rationale for removing the mole from the base is that the mole is
-essentially a count of particles expressed in a unit of very high
-magnitude (Avogadro's number). There is no fundamental difference
-between the count of particles and the count other things.
-
-The radian has been adopted as the base unit of plane angle
-α to facilitate the distinction from the solid angle
-Ω by the relation Ω =
-α2 and to distinguish rotational frequency
-f from angular velocity ω = 2 π ·
-rad · f.
-
name
kind of quantity
print
c/s
c/i
The base units upon which the semantics of all the unit
-atoms in The Unified Code for Units of Measure are defined. The selection of the base and the order
-of the units in the base are not normative. Any other base is
-acceptable as long as there is an isomorphism between the group of
-units generated by the other base system and this one. All base units
-are metric.
meter
length
m
m
M
second
time
s
s
S
gram
mass
g
g
G
radian
plane angle
rad
rad
RAD
kelvin
temperature
K
K
K
coulomb
electric charge
C
C
C
candela
luminous intensity
cd
cd
CD
Derived Unit Atoms
§29 dimensionless units
-
- ■1
-Dimensionless unit atoms are defined in .
- ■2 There are seven columns titled “name,”
-“print,” “c/s,” “c/i,”
-“M,” “value,” and “definition.”
-The name is the full (official) name of the unit. The symbol
-recommended for use in print this is listed in the column
-“print.” “C/s,” and “c/i” list the
-symbol in the case sensitive and the case insensitive variants
-respectively.
-The column “M” specifies whether this is a
-metric unit.
-The definition is a valid case sensitive expression of
-The Unified Code for Units of Measure that defines the unit atom.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
- ■4
-The units named “parts per N” are provided to be used
-where absolutely nessecary but are not endorsed. Especially
-“ppb” and “pptr” are deprecated since
-“billion” and “trillion” are ambiguous names
-internationally. The explicit powers of ten should be given instead.
-
name
print
c/s
c/i
M
definition value
definition unit
Dimensionless units. The units ppb and ppt are deprecated
-because the names “billion” and “trillion” are
-ambiguous. The expression “10*-9” or
-“10*-12” should be used instead. When the
-units percent or “parts per N” are used for
-concentrations specific units are prefered, e.g.,
-“ug/l” for mass concentration. The expression
-“ug/kg” for ppb is also valid.
-
the number ten for arbitrary powers
10n
10*
10*
no
10
1
the number ten for arbitrary powers
10n
10^
10^
no
10
1
the number pi
π
[pi]
[PI]
no
π
1
percent
%
%
%
no
1
10*-2
parts per thousand
ppth
[ppth]
[PPTH]
no
1
10*-3
parts per million
ppm
[ppm]
[PPM]
no
1
10*-6
parts per billion
ppb
[ppb]
[PPB]
no
1
10*-9
parts per trillion
pptr
[pptr]
[PPTR]
no
1
10*-12
-The notation “10*” for powers of ten
-originated in the HL7 “ISO+“ extension of ISO 2955.
-In HL7 the character carat (‘^’) was thought as
-reserved. Since most people would expect to see
-“10^3” for the “third power of
-ten” and might in fact confuse “10*3”
-to mean “ten times 3”, the symbol using the carat was
-later added to The Unified Code for Units of Measure.
-
§30 SI units
-
- ■1
-SI units are defined by the international Conférence
-Générale des Poids et Mesures (CGPM). The Unified Code for Units of Measure definitions
-for those units are given in .
- ■2 There are seven columns titled “name,”
-“print,” “c/s,” “c/i,”
-“M,” “value,” and “definition.”
-The name is the full (official) name of the unit. The symbol
-recommended for use in print this is listed in the column
-“print.” “C/s,” and “c/i” list the
-symbol in the case sensitive and the case insensitive variants
-respectively.
-The column “M” specifies whether this is a
-metric unit.
-The definition
-is a valid case sensitive expression of The Unified Code for Units of Measure that defines the unit
-atom.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are defined by the CGPM and are
-out of scope of The Unified Code for Units of Measure.
- ■4
-The function pair denoted “cel(1 K)” is
-defined as fC(x) = x - 273.15 to
-convert from kelvin to degree Celsius, and
-fC-1(x) = x + 273.15 to
-convert from degree Celsius back to kelvin.
-
-The case insensitive symbol for pascal is
-“PAL” which conforms to ISO 2955 and prevents
-the name conflict between pascal and pico-ampère.
-
-Without reference to history, it is difficult to explain that the
-degree Celsius is part of the SI, because the degree Celsius is in a
-unique way incoherent with the SI, and is even superfluous since the
-base unit kelvin measures the same kind of quantity.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
SI units
mole
amount of substance
mol
mol
MOL
yes
6.02214076
10*23
steradian
solid angle
sr
sr
SR
yes
1
rad2
hertz
frequency
Hz
Hz
HZ
yes
1
s-1
newton
force
N
N
N
yes
1
kg.m/s2
pascal
pressure
Pa
Pa
PAL
yes
1
N/m2
joule
energy
J
J
J
yes
1
N.m
watt
power
W
W
W
yes
1
J/s
ampère
electric current
A
A
A
yes
1
C/s
volt
electric potential
V
V
V
yes
1
J/C
farad
electric capacitance
F
F
F
yes
1
C/V
ohm
electric resistance
Ω
Ohm
OHM
yes
1
V/A
siemens
electric conductance
S
S
SIE
yes
1
Ohm-1
weber
magnetic flux
Wb
Wb
WB
yes
1
V.s
degree Celsius
temperature
°C
Cel
CEL
yes
•
cel(1 K)
tesla
magnetic flux density
T
T
T
yes
1
Wb/m2
henry
inductance
H
H
H
yes
1
Wb/A
lumen
luminous flux
lm
lm
LM
yes
1
cd.sr
lux
illuminance
lx
lx
LX
yes
1
lm/m2
becquerel
radioactivity
Bq
Bq
BQ
yes
1
s-1
gray
energy dose
Gy
Gy
GY
yes
1
J/kg
sievert
dose equivalent
Sv
Sv
SV
yes
1
J/kg
§31 other units from ISO 1000, ISO 2955 and ANSI X3.50
-
- ■1
-Those unit atoms listed by ISO 2955 under the heading “other
-units from ISO 1000” and some units from ANSI X3.50 are defined
-in .
- ■2
-The meaning of the columns is declared in §30.2.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are defined by ISO 1000 and are
-out of scope of The Unified Code for Units of Measure.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Other units from ISO 1000, ISO 2955, and some from ANSI X3.50.
gon, grade
plane angle
□g
gon
GON
no
0.9
deg
degree
plane angle
°
deg
DEG
no
2
[pi].rad/360
minute
plane angle
'
'
'
no
1
deg/60
second
plane angle
''
''
''
no
1
'/60
liter
volume
l
l
L
yes
1
dm3
liter
volume
L
L
yes
1
l
are
area
a
ar
AR
yes
100
m2
minute
time
min
min
MIN
no
60
s
hour
time
h
h
HR
no
60
min
day
time
d
d
D
no
24
h
tropical year
time
at
a_t
ANN_T
no
365.24219
d
mean Julian year
time
aj
a_j
ANN_J
no
365.25
d
mean Gregorian year
time
ag
a_g
ANN_G
no
365.2425
d
year
time
a
a
ANN
no
1
a_j
week
time
wk
wk
WK
no
7
d
synodal month
time
mos
mo_s
MO_S
no
29.53059
d
mean Julian month
time
moj
mo_j
MO_J
no
1
a_j/12
mean Gregorian month
time
mog
mo_g
MO_G
no
1
a_g/12
month
time
mo
mo
MO
no
1
mo_j
tonne
mass
t
t
TNE
yes
1 × 103
kg
bar
pressure
bar
bar
BAR
yes
1 × 105
Pa
unified atomic mass unit
mass
u
u
AMU
yes
1.66053906660 × 10-24
g
electronvolt
energy
eV
eV
EV
yes
1
[e].V
astronomic unit
length
AU
AU
ASU
no
149597.870691
Mm
parsec
length
pc
pc
PRS
yes
3.085678 × 1016
m
-In the case sensitive variant the liter is defined both with an upper
-case ‘L” and a lower case
-‘l’. NIST [63 FR 40338] declares the upper case
-‘L’ as the prefered symbol for the U.S., while in many other
-countries the lower case ‘l’ is used. In fact the lower case
-‘l’ was in effect since 1879. A hundred years later in 1979
-the 16th CGPM decided to adopt the upper case ‘L’ as a
-second symbol for the liter. In the case insensitive variant there is
-only one symbol defined since there is no difference between upper
-case ‘L’ and lower case ‘l’.
-
-The unit “are” competes with year for the symbol
-“a” not only in ISO 2955, and ANSI X3.50, but also in
-ISO 1000 as stating the official CGPM approved symbols. This is why
-the symbol for are is “ar” in
-The Unified Code for Units of Measure. ISO 2955 explicitly adds the unit atom
-“ha” for hectare, while “hectare”
-is just the correct spelling of the compositum of “hecto”
-and “are” and thus would not require a separate unit
-atom. Nevertheless, ISO 2955 in its case insensitive variant assigns
-“ARE” to the are and
-“har” to the hectare. This is obviously an
-anomality which The Unified Code for Units of Measure will not follow. As a metric unit,
-“ar” can be prefixed with
-“h” to yield “har”
-
-ANSI X3.50 had two different series of symbols for the units of time,
-the ones from ISO 2955 as adopted by The Unified Code for Units of Measure and the symbols
-“yr” “mo”
-“wk” “hr” and
-“sec” while “d” and
-“min” were defined twice. The Unified Code for Units of Measure does not
-define these synonyms of ISO 2955 symbols, but does adopt those units
-from ANSI X3.50 that are not part of ISO 2955, namely
-“mo” and “wk” Month
-and week are useful units mainly in business or clinical medicine.
-
-The semantics of the units of time is difficult to capture. The
-difficulties start with the day: There is the sidereal and the solar
-day that depend on the earth's rotation. The earth's rotation is
-variable during one day and is continually slowing down in the long
-run. The usual subdivisions of the day in 24 hours of 60 minutes and
-60 seconds originated in Babylonia. The earth's rotation was too
-inexact to measure time, which is why the 11th CGPM (1954) defined the
-second based on a standarized historical tropical year (see below)
-which was later (13th CGPM 1967-1968) replaced by frequency
-measurement. Thus the second came to be the base unit of time and the
-day is now 864000 s exactly with the Universal Coordinated
-Time (UTC) adding leap seconds every now and then.
-
-For the year we have to distinguish the “tropical” (solar,
-sidereal) year from the calendar year. And both are difficult. The
-tropical year is the year defined by time the earth travels around the
-sun. This is difficult to measure and varies over time. Around 1900
-it was 365.242196 d, currently it is 365.242190 d and around
-2100 it will be 365.242184 d. In addition these durations are
-averages. The actual length of each year may vary by several minutes
-due to the gravitational influence of other planets. Thus there is
-quite a high uncertainty already in the fourth decimal digit.
-
-The calendar year is also difficult because there is the Julian
-calendar (Sosigenes of Alexandria and Julius Caesar, 45 BC) with a
-slightly too long year of 365.25 d that causes the calendar to be
-one day ahead of the tropical year in 128 years. The Gregorian
-calendar (Christopher Clavius 1537-1612 and Pope Gregory XIII
-1545-1563) leaves out three leap years in 400 years (let n be the
-year number, the leap year is dropped if n mod 100 = 0 but not n
-mod 400 = 0.) The Gregorian mean year is thus 365.2425 d.
-This leap year arithmetic seems to be too much even for astronomers,
-which is why the light year ends up being defined based on the Julian
-year [NIST Sp. Pub. 811, 1995 Edition]. For this reason The Unified Code for Units of Measure
-defines Tropical, Julian and Gregorian year by means of subscripts,
-but assigns the default year symbol to the Julian year.
-
-The week is 7 days, this is a biblic truth we can count on (it is
-actually quite plausible that the week of seven days originated in
-Babylonia and entered Jewish tradition during the Babylonian exile.)
-
-The difficultiy continues with the month. The lunar (so called
-“synodal” month is variable. Around 1900 it was
-29.5305886 d currently it is 29.5305889 d and in 2100 it
-will be 29.5305891 d, which we fixate in the 5th decimal digit
-with a considerable uncertainty. The calendar month is difficult
-because of the uneven distribution of days in a month over the year,
-and because of the two different calendar years. But we will usually
-use the mean calendar month, which is the Julian calendar year divided
-by 12.
-
-As a conclusion, great care has to be taken when the “customary
-units” of time are used to measure time. The SI has fixated the
-second which should be used whenever accuracy is required. For
-business purposes the Julian calendar is sufficient especially since
-the notion of the Work-Day (vs. Holiday) is more important than the
-imprecision over 128 years.
-
-[Sources: “Calendar” Britannica Online.http://www.eb.com:180/cgi-bin/g?DocF=macro/5000/98/toc.html.
-Claus Tondering, Frequently asked questions about
-calendars.
-Part 1. 1998. http://www.pip.dknet.dk/~c-t/calendar.faq1.txt]
-
§32 natural units
-
- ■1
-Fundamental constants of nature and units derived from these constants
-are defined in .
- ■2
-The meaning of the columns is declared in §30.2.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are defined by ISO 1000 and are
-out of scope of The Unified Code for Units of Measure.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Natural units.
velocity of light
velocity
c
[c]
[C]
yes
299792458
m/s
Planck constant
action
h
[h]
[H]
yes
6.6260755 × 10-34
J.s
Boltzmann constant
(unclassified)
k
[k]
[K]
yes
1.380658 × 10-23
J/K
permittivity of vacuum
electric permittivity
ε0
[eps_0]
[EPS_0]
yes
8.854187817 × 10-12
F/m
permeability of vacuum
magnetic permeability
μ0
[mu_0]
[MU_0]
yes
1
4.[pi].10*-7.N/A2
elementary charge
electric charge
e
[e]
[E]
yes
1.60217733 × 10-19
C
electron mass
mass
me
[m_e]
[M_E]
yes
9.1093897 × 10-28
g
proton mass
mass
mp
[m_p]
[M_P]
yes
1.6726231 × 10-24
g
Newtonian constant of gravitation
(unclassified)
G
[G]
[GC]
yes
6.67259 × 10-11
m3.kg-1.s-2
standard acceleration of free fall
acceleration
gn
[g]
[G]
yes
9.80665
m/s2
standard atmosphere
pressure
atm
atm
ATM
no
101325
Pa
light-year
length
l.y.
[ly]
[LY]
yes
1
[c].a_j
gram-force
force
gf
gf
GF
yes
1
g.[g]
pound force
force
lbf
[lbf_av]
[LBF_AV]
no
1
[lb_av].[g]
-This list is not complete. It does not list all constants but only
-those that are fundamental and from which many other constants can be
-derived. The source of this table is The NIST Reference on
-Constants, Units, and Uncertainty Version 2.1, 21 May 1998. NIST
-Physics
-Laboratory. http://physics.nist.gov/cuu/Constants/index.html
-In the base system of The Unified Code for Units of Measure, the general gas constant R is
-identical to the Boltzman constant k. In the SI both are related
-through R = k × NA, where
-NA = 6.02214076 × 1023 /mol is
-the Avogadro constant. Because The Unified Code for Units of Measure defines the mole to be the
-dimensionless Avogadro number (number of particles in 1 g of
-12C itself, there is no difference anymore if the Boltzman
-constant is given as k = 1.380658 ×
-1023 J/K or R =
-8.314511 J mol-1 K-1.
-
§33 CGS units
-
- ■1
-The units of the older Centimeter-Gram-Second (CGS) system are defined
-in .
- ■2
-The meaning of the columns is declared in §30.2.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are out of scope of The Unified Code for Units of Measure.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
CGS units
Kayser
lineic number
K
Ky
KY
yes
1
cm-1
Gal
acceleration
Gal
Gal
GL
yes
1
cm/s2
dyne
force
dyn
dyn
DYN
yes
1
g.cm/s2
erg
energy
erg
erg
ERG
yes
1
dyn.cm
Poise
dynamic viscosity
P
P
P
yes
1
dyn.s/cm2
Biot
electric current
Bi
Bi
BI
yes
10
A
Stokes
kinematic viscosity
St
St
ST
yes
1
cm2/s
Maxwell
flux of magnetic induction
Mx
Mx
MX
yes
1 × 10-8
Wb
Gauss
magnetic flux density
Gs, G
G
GS
yes
1 × 10-4
T
Oersted
magnetic field intensity
Oe
Oe
OE
yes
250
/[pi].A/m
Gilbert
magnetic tension
Gb
Gb
GB
yes
1
Oe.cm
stilb
lum. intensity density
sb
sb
SB
yes
1
cd/cm2
Lambert
brightness
L
Lmb
LMB
yes
1
cd/cm2/[pi]
phot
illuminance
ph
ph
PHT
yes
1 × 10-4
lx
Curie
radioactivity
Ci
Ci
CI
yes
3.7 × 1010
Bq
Roentgen
ion dose
R
R
ROE
yes
2.58 × 10-4
C/kg
radiation absorbed dose
energy dose
RAD
RAD
[RAD]
yes
100
erg/g
radiation equivalent man
dose equivalent
REM
REM
[REM]
yes
1
RAD
-Although the CGPM “accepts” only very few CGS units “for use with
-the SI,” CGS units are proper metric units. CGS units are still used
-in many physiological laboratories and in clinical diagnostics (e.g.,
-cardiology). In addition CGS units ackquired a special dignity as this
-was the system of units used by the great physicists of the early 20th
-century, Albert Einstein, Max Planck, and many others who worked on
-the scientific revolution that had quite a cultural impact.
-
-The CGS system defined electric and magnetic phenomena differently
-which is why the units named “oersted” and “maxwell” have no
-proper SI counterpart. This table was compiled from various sources
-and is not complete and not very systematic. We therefore welcome
-suggestions and advice as to how this table could be completed.
-
Customary Unit Atoms
-Customary units have once been used all over Europe. Units were taken
-from nature: anatomical structures (e.g., arm, foot, finger),
-botanical objects (e.g., grains of various sorts, rod), or processes
-of everyday life (e.g., amount of land one could plow in a morning,
-the length of 1000 steps, an hour of walking, etc.).
-
-Many of these units can be traced back in history to the Romans
-(mile), Greeks (carat) and even more ancient times. It is thus no
-wonder that this heritage was in some way ordered. Indeed, one finds
-the same names for units used in different countries and most of these
-units where divided into smaller or multiplied to larger units in the
-same way.
-
-For example, there was the foot (de. “Fuß”
-fr. “pied” nl. “voet”) that was divided into
-12 inches (de. “Zoll” fr. “pouce”). An inch
-was divided into 12 lines (de. “Linie”
-fr. “ligne” ). Two feet was one ell
-(de. “Elle” da. “Alen”
-sv. “Aln”). The ell was, however, not very popular in
-England, as opposed to the rest of Europe. Conversely, the yard is
-hard to find elsewhere, aside from the Argentinian “vara.”
-But it is perhaps no accident that the meter ended up as the 40 ×
-10-6 of an earth's meridian, which is approximately one
-yard (43.7 × 10-6). The rod (de. “Rute”
-fr. “perche” nl. “roede”
-sv. “stång”) was very popular all over Europe and so
-was the fathom (de. “Klafter”).
-
-The square rod (de. “Quadratrute” fr. “perche-carrée”
-nl. “vierkante-roede” was mainly used to measure land. The acre as
-the legnedary land to sow in one morning (or day) is also widespread
-(de. “Morgen, Tagwerk, Acker” fr. “arpent” sv. “tunnland” ,
-although the exact amount in square rod varies considerably from
-region ro region. Interestingly, even the special purpose measures
-such as the “hand” for measuring horses have international equivalents
-(de. “faust”).
-
-One can indeed say that there was once a “système
-international d'unités coutumières“ but the
-magnitudes of the units were not standardized internationally. Of
-course, Great Britain had the most impact in standardizing the
-customary system, because of its colonies, including its most
-important colony, America. However, after the customary units were
-established in the U.S. a major reform took place through the British
-Weights and Measures Act of 1824. For instance, Queen Anne's wine
-Gallon of 231 cubic inches, still used in the U.S., was discarded
-then, and the older bushel was standardized differently in Great
-Britain. Other deviations between the English and U.S. measures are
-due to various alignments with the metric system. Thus, in the U.S.,
-the yard was standardized as 3600/3937 m and the inch was
-2.540005 cm while in England the inch was still 2.539998 cm.
-
-In 1959 major parts of the U.S. and British system of customary units
-were standardized internationally, again aligned to the metric system
-which is why the international yard is 0.9144 m exactly and the
-nautical mile became 1852 m exactly. However, traditional
-subdivisions and multiples have not been abolished in favor of the
-international standard. Furthermore the old U.S. standard for the yard
-is still legally used for land surveying.
-
-Conclusively, there are different systems of customary units that are
-in use today. These systems use the same names for units that have
-different equivalents in the metric system, because the customary
-systems are based on different reference quantities but multiples and
-subdivisions of the reference quantities are very similar, though with
-notable exceptions.
-
-In the following tables we tried to give the original definitions to
-the customary units. This means in general that the references to the
-metric system are as few as possible, with most of the units of one
-system defined as multiples and subdivisions of one reference unit.
-
-We use the subscript notation to disambiguate units with same names in
-the different systems. Subscript notation means, for instance that if
-the print symbol for foot is “ft” we use subscripts to
-distinguish the international foot “fti” the
-U.S. survey foot “ftus” and the British
-Imperial foot “ftbr” We do not actually list
-print symbols for customary units, because there seems to be no
-standard for it, and because defining print symbols is out of scope of
-The Unified Code for Units of Measure. However, we presume that subscripts be used to disambiguate
-whatever print symbols are being used. According to §§13ff, The Unified Code for Units of Measure uses the underscore to denote those
-subscripts, and also encloses the entire unit atom into square
-brackets. Hence, the symbols for the international foot, the
-U.S. survey foot and the British Imperial foot are defined as
-“[ft_i],” “[ft_us],”
-and “[ft_br]” respectively.
-
-Prospective users of The Unified Code for Units of Measure may be disappointed by the fact that
-there are many different symbols for foot and inch defined but all of
-them have a subscript and thus none of them are equal to the
-ANSI X3.50 symbols. We considered to define default symbols for
-customary units, where, e.g., the common units of length (foot, inch)
-would default to the international customary units, while mass units
-(pound, ounce) would default to the avoirdupois system. However,
-because the customary system is quite complex, and units by the same
-names can differ by more than 20%, defining defaults will probably
-cause even more confusion. There is no denial: a gallon is not just a
-gallon and a pound is not just a pound, this is the disadvantage of
-dealing with a unit system of medieval origin.
-
§34 international customary units
-
- ■1
-The unified U.S. and British Imperial customary units, so called
-“international” customary units are defined in .
- ■2
-The meaning of the columns is declared in §30.2. With the exception that the column named
-“print” is not available.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. The full name is out of scope of The Unified Code for Units of Measure.
- ■4
-The special symbols for “square inch,” “cubic
-foot,” etc. are deprecated. The preferred expressions use the
-exponents 2 and 3 respectively as shown in the column
-“definition”
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
International customary units
inch
length
[in_i]
[IN_I]
no
2.54
cm
foot
length
[ft_i]
[FT_I]
no
12
[in_i]
yard
length
[yd_i]
[YD_I]
no
3
[ft_i]
mile
length
[mi_i]
[MI_I]
no
5280
[ft_i]
fathom
depth of water
[fth_i]
[FTH_I]
no
6
[ft_i]
nautical mile
length
[nmi_i]
[NMI_I]
no
1852
m
knot
velocity
[kn_i]
[KN_I]
no
1
[nmi_i]/h
square inch
area
[sin_i]
[SIN_I]
no
1
[in_i]2
square foot
area
[sft_i]
[SFT_I]
no
1
[ft_i]2
square yard
area
[syd_i]
[SYD_I]
no
1
[yd_i]2
cubic inch
volume
[cin_i]
[CIN_I]
no
1
[in_i]3
cubic foot
volume
[cft_i]
[CFT_I]
no
1
[ft_i]3
cubic yard
volume
[cyd_i]
[CYD_I]
no
1
[yd_i]3
board foot
volume
[bf_i]
[BF_I]
no
144
[in_i]3
cord
volume
[cr_i]
[CR_I]
no
128
[ft_i]3
mil
length
[mil_i]
[MIL_I]
no
1 × 10-3
[in_i]
circular mil
area
[cml_i]
[CML_I]
no
1
[pi]/4.[mil_i]2
hand
height of horses
[hd_i]
[HD_I]
no
4
[in_i]
-In general the international customary units are effective in the
-U.S. and in Great Britain since 1959. We are unsure, however, about
-this in countries that formerly or at present belong to the
-Commonwealth. We therefore appreciate advice and reference to original
-sources on this transition. Conceivably other countries may have made
-exceptions in the transition to the international definitions of
-customary units, such as the U.S. where the old definitions have been
-retained for the purpose of land surveying.
-
-It is not quite clear exactly what units the international customary
-system comprises. According to the Encyclopedia Britannica
-[British Imperial System. Britannica Online], the rod was
-removed in Great Britain in 1963. Since the definition of the acre is
-based on the rod, we did not include rod and acre in the international
-customary system. In the U.S. the acre is still defined on the older
-U.S. customary system as of 1893.
-
-In general, we did not include special customary units of area and
-volume in , since these are still used
-differently in the U.S. Special symbols such as suqare inch and cubic
-foot have been included according to ANSI X3.50. Generally the
-“square-” and “cubic-” prefixes are
-unnecessary in ISO 2955 and ANSI X3.50 and are deprecated by
-The Unified Code for Units of Measure. We placed the board foot, cord and circular mil into the
-international table because these units are suggested by
-ANSI X3.50 but we were not sure in what sense they are still
-used. We did, however, not include the square mile in the
-international table because in the U.S. measurements in square miles
-are most likely based on the survey mile that is part of the older
-system, see §35.
-
-The circular mil is exactly the area of a circle with a diameter of
-one mil. One mil, in turn, equals 1/1000 inch (“mil” is the
-etymological equivalent of “milli-inch” ) The mil has been
-defined in to support the exact definition of
-the circular mil.
-
-ANSI X3.50 does not define a symbol for the “hand,” but this unit is
-mentioned in the table given by the Encyclopedia Britannica. The hand
-is used in measuring the height of horses from foot to shoulder. It
-was probably not subject to the internationalization of customary
-units. Any advice as whether the hand is used based on an older
-British or U.S. definition is appreciated.
-
§35 U.S. survey lengths
-
- ■1
-The older U.S. units according to the definition of the inch in the
-U.S. Metric Law of 1866 and the definition of foot and yard that was
-valid from 1893 until 1959.
- ■2
-The meaning of the columns is declared in §34.
-
-[Barry N. Taylor, Guide to the Use of the International Stsyem of
-Units (SI) [NIST Special Publication 811], National Institute for
-Standards and Technology (NIST), 1995. Available from: URL:
-http://physics.nist.gov/Document/sp811.pdf]
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
Older U.S. “survey” lengths (also called "statute" lengths)
foot
length
[ft_us]
[FT_US]
no
1200
m/3937
yard
length
[yd_us]
[YD_US]
no
3
[ft_us]
inch
length
[in_us]
[IN_US]
no
1
[ft_us]/12
rod
length
[rd_us]
[RD_US]
no
16.5
[ft_us]
Gunter's chain, Surveyor's chain
length
[ch_us]
[CH_US]
no
4
[rd_us]
link for Gunter's chain
length
[lk_us]
[LK_US]
no
1
[ch_us]/100
Ramden's chain, Engineer's chain
length
[rch_us]
[RCH_US]
no
100
[ft_us]
link for Ramden's chain
length
[rlk_us]
[RLK_US]
no
1
[rch_us]/100
fathom
length
[fth_us]
[FTH_US]
no
6
[ft_us]
furlong
length
[fur_us]
[FUR_US]
no
40
[rd_us]
mile
length
[mi_us]
[MI_US]
no
8
[fur_us]
acre
area
[acr_us]
[ACR_US]
no
160
[rd_us]2
square rod
area
[srd_us]
[SRD_US]
no
1
[rd_us]2
square mile
area
[smi_us]
[SMI_US]
no
1
[mi_us]2
section
area
[sct]
[SCT]
no
1
[mi_us]2
township
area
[twp]
[TWP]
no
36
[sct]
mil
length
[mil_us]
[MIL_US]
no
1 × 10-3
[in_us]
-After the 1959 international agreement changed the definition of the yard in the US to be 0.9144 m exactly, surveyors and civil engineers complained that volumnious legacy surveys and so forth used the previous definition of (1200/3937) m and that this change would be disruptive. So, by statute, Congress created a survey foot of (1200/3937) m (the old 1893 Mendenhall Order definition). Thus, by statute, miles used in surveying are referred to as statute miles of 5280 survey feet each. The fathom, rod, and furlong are likewise based on the survey foot.
-
-According to NIST, the acre as normally used in the U.S. is defined
-in terms of U.S. survey lengths, and not in terms of the
-international custormary system. This older U.S. customary system of
-survey lengths is still used for geodesic measurements.
-
§36 British Imperial lengths
-
- ■1 defines symbols for the older British Imperial lengths as of
-the British Weights and Measures Act of 1824.
- ■2
-The meaning of the columns is declared in §34.
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
British Imperial lengths
inch
length
[in_br]
[IN_BR]
no
2.539998
cm
foot
length
[ft_br]
[FT_BR]
no
12
[in_br]
rod
length
[rd_br]
[RD_BR]
no
16.5
[ft_br]
Gunter's chain
length
[ch_br]
[CH_BR]
no
4
[rd_br]
link for Gunter's chain
length
[lk_br]
[LK_BR]
no
1
[ch_br]/100
fathom
length
[fth_br]
[FTH_BR]
no
6
[ft_br]
pace
length
[pc_br]
[PC_BR]
no
2.5
[ft_br]
yard
length
[yd_br]
[YD_BR]
no
3
[ft_br]
mile
length
[mi_br]
[MI_BR]
no
5280
[ft_br]
nautical mile
length
[nmi_br]
[NMI_BR]
no
6080
[ft_br]
knot
velocity
[kn_br]
[KN_BR]
no
1
[nmi_br]/h
acre
area
[acr_br]
[ACR_BR]
no
4840
[yd_br]2
-The older British Imperial system is predominantly of historical
-interest. However, it may be that some former members of the
-Commonwealth have retained this system after 1959, when the unified
-international definitions where established, and after 1963, when the
-British system was revised in England.
-
-The chain was proposed by Edmund Gunter in England of the 17th
-century. It is possible that Gunter's chain and Ramden's chain are
-related to other European traditional units such as the English
-“rope” (measuring 20 feet) or the old German
-“Landseil” (measuring 52 ells or 104 feet) named after
-ropes or chains that could be spanned in order to measure land. The
-difference in the definitions of those units is no surprise as there
-is nothing that restricts a chain or rope to a praticular
-length. However, these units are still similar in magnitude.
-
§37 U.S. volumes
-
- ■1
-The U.S. volumes, so called “capacity” measures, which
-are different for fluid goods (wine) and dry goods (grain), are
-defined in .
- ■2
-The meaning of the columns is declared in §34.
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
U.S. volumes including so called “dry measures”
Queen Anne's wine gallon
fluid volume
[gal_us]
[GAL_US]
no
231
[in_i]3
barrel
fluid volume
[bbl_us]
[BBL_US]
no
42
[gal_us]
quart
fluid volume
[qt_us]
[QT_US]
no
1
[gal_us]/4
pint
fluid volume
[pt_us]
[PT_US]
no
1
[qt_us]/2
gill
fluid volume
[gil_us]
[GIL_US]
no
1
[pt_us]/4
fluid ounce
fluid volume
[foz_us]
[FOZ_US]
no
1
[gil_us]/4
fluid dram
fluid volume
[fdr_us]
[FDR_US]
no
1
[foz_us]/8
minim
fluid volume
[min_us]
[MIN_US]
no
1
[fdr_us]/60
cord
fluid volume
[crd_us]
[CRD_US]
no
128
[ft_i]3
bushel
dry volume
[bu_us]
[BU_US]
no
2150.42
[in_i]3
historical winchester gallon
dry volume
[gal_wi]
[GAL_WI]
no
1
[bu_us]/8
peck
dry volume
[pk_us]
[PK_US]
no
1
[bu_us]/4
dry quart
dry volume
[dqt_us]
[DQT_US]
no
1
[pk_us]/8
dry pint
dry volume
[dpt_us]
[DPT_US]
no
1
[dqt_us]/2
tablespoon
volume
[tbs_us]
[TBS_US]
no
1
[foz_us]/2
teaspoon
volume
[tsp_us]
[TSP_US]
no
1
[tbs_us]/3
cup
volume
[cup_us]
[CUP_US]
no
16
[tbs_us]
metric fluid ounce
fluid volume
[foz_m]
[FOZ_M]
no
30
mL
metric cup
volume
[cup_m]
[CUP_M]
no
240
mL
metric teaspoon
volume
[tsp_m]
[TSP_M]
no
5
mL
metric tablespoon
volume
[tbs_m]
[TBS_M]
no
15
mL
-The U.S. fluid volumes have been defined based on Queen Anne's wine
-gallon which was in turn defined exactly as 231 cubic inch. Although
-we used international inch, we are not sure what inch definition is
-actually used for defining the exact size of a U.S. gallon. However,
-the differences between the various inches are minimal, even when
-raised to the 3rd power (i.e., the difference between the U.S. inch
-and the British Imperial inch remains in the sixth decimal digit.)
-
-Dry measures are based on the bushel (corn bushel), originally defined
-in 1701 as “any round measure with a plain and even bottom, being
-18.5 inches wide throughout and 8 inches deep.” This definition,
-being (18.5/2)2 π × 8 = 2150.42017138221... cubic
-inch was later truncated to 2150.42 cubic inch exactly. At times the
-bushel was closely related with the Winchester gallon (corn gallon),
-which has been mentioned as an historical curiosity.
-
-ANSI X3.50 defines symbols for the units cup, tablespoon and teaspoon
-which are predominantly used in cooking recipies but also in practical
-medicine. Similar units can often be found in European cook books, but
-are usually translated into metric units outside the U.S. For
-practical medicine these are still very handy units to give
-instructions to patients.
-
§38 British Imperial volumes
-
- ■1
-British Imperial volumes according to the Weights and Measures Act of
-1824 are defined in .
- ■2
-The meaning of the columns is declared in §34.
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
British Imperial volumes
gallon
volume
[gal_br]
[GAL_BR]
no
4.54609
l
peck
volume
[pk_br]
[PK_BR]
no
2
[gal_br]
bushel
volume
[bu_br]
[BU_BR]
no
4
[pk_br]
quart
volume
[qt_br]
[QT_BR]
no
1
[gal_br]/4
pint
volume
[pt_br]
[PT_BR]
no
1
[qt_br]/2
gill
volume
[gil_br]
[GIL_BR]
no
1
[pt_br]/4
fluid ounce
volume
[foz_br]
[FOZ_BR]
no
1
[gil_br]/5
fluid dram
volume
[fdr_br]
[FDR_BR]
no
1
[foz_br]/8
minim
volume
[min_br]
[MIN_BR]
no
1
[fdr_br]/60
-The British Weights and Measures Act of 1824 removed the medieval
-distiction between wine and grain measures and defined one unified
-system of volumes based on a new Gallon that was defined similarly as
-the metric unit liter: “10 imperial pounds weight of distilled
-water weighed in air against brass weights with the water and the air
-at a temperature of 62 degrees of Fahrenheit's thermometer and with
-the barometer at 30 inches.”
-
-With the current definition of the gallon as 277.421 cubic inches
-(approximately) and a density of water of 0.99878 kg/l according
-to NIST data, the inch must have been approximately 2.5371 cm at
-that time. Because of this difficulty with the original definition of
-the British gallon we based the British Imperial volumes on the gallon
-for which there is an exact metric equivalence, according to NIST,
-which provides usually well researched data.
-
-Note that the subdivisions of the British Imperial system of volumes
-differs from the U.S. system of fluid volumes between gill and fluid
-ounce: in the British system 1 oz fl equals 1/5 gill where
-in the U.S. system 1 oz fl equals 1/4 gill. Thus, although
-the british system starts out with a 20% larger gallon, the British
-fluid ounce, fluid dram and minim are 4% smaller than the U.S. units
-with the same name.
-
§39 avoirdupois weights
-
- ■1
-The avoirdupois system of mass units is defined in .
- ■2
-The meaning of the columns is declared in §34.
-
-The avoirdupois system is used in the U.S. as well as in coutries that
-use the British Imperial system. Avoirdupois is the default system of
-mass units used for all goods that “have weight”
-(fr. avoir du poids). Interestingly all three systems of
-weight are based on the same grain of barley, standardized to
-64.79891 mg exactly [NIST].
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
Avoirdupois weights
grain
mass
[gr]
[GR]
no
64.79891
mg
pound
mass
[lb_av]
[LB_AV]
no
7000
[gr]
ounce
mass
[oz_av]
[OZ_AV]
no
1
[lb_av]/16
dram
mass
[dr_av]
[DR_AV]
no
1
[oz_av]/16
short hundredweight, U.S. hundredweight
mass
[scwt_av]
[SCWT_AV]
no
100
[lb_av]
long hunderdweight, British hundredweight
mass
[lcwt_av]
[LCWT_AV]
no
112
[lb_av]
short ton, U.S. ton
mass
[ston_av]
[STON_AV]
no
20
[scwt_av]
long ton, British ton
mass
[lton_av]
[LTON_AV]
no
20
[lcwt_av]
stone, British stone
mass
[stone_av]
[STONE_AV]
no
14
[lb_av]
§40 troy weights
-
- ■1
-The troy system of mass units is defined in .
- ■2
-The meaning of the columns is declared in §34.
-
-The troy system originates in Troyes, a City in the Champagne (France)
-that hosted a major European fair. The troy system was later used for
-measuring precious metals. The World Monetary Fund valued all
-currencies against the troy ounce of gold at least until the 1960s
-(advice appreciated). The troy ounce is still used in worldwide trade
-with gold, even in countries that otherwise use metric units
-(de. “feinunze”). The troy system retains the original Roman
-subdivision of the pound in 12 ounces. The Roman uncia was “one
-twelfth” of a libra (hence the symbol “lb” for the pound),
-just as the inch (also originating from la. “libra” is one twelfth
-of a foot. The subdivision of 12 ounces/inches per pound/foot and 2
-foot per ell (la. “cubit” apparently originated in the ancient
-Egypt and was carried on by the Greeks and Romans into the medieval
-Europe. However, there was always an ambiguity such that the
-subdivision of 1/12 could become 1/16 and vice versa, hence the
-avoirdupois ounce of 1/16 pound.
-
-Note also that the troy pound was abolished in England on January 6,
-1879 [Jacques J. Proot, Anglo-Saxon weights & measures, URL:
-http://members.aol.com/JackProot/met/spvolas.html].
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
Troy weights
pennyweight
mass
[pwt_tr]
[PWT_TR]
no
24
[gr]
ounce
mass
[oz_tr]
[OZ_TR]
no
20
[pwt_tr]
pound
mass
[lb_tr]
[LB_TR]
no
12
[oz_tr]
§41 apothecaries' weights.
-
- ■1
-The apothecaries' system of mass units is defined in .
- ■2
-The meaning of the columns is declared in §34.
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
Apothecaries' weights
scruple
mass
[sc_ap]
[SC_AP]
no
20
[gr]
dram, drachm
mass
[dr_ap]
[DR_AP]
no
3
[sc_ap]
ounce
mass
[oz_ap]
[OZ_AP]
no
8
[dr_ap]
pound
mass
[lb_ap]
[LB_AP]
no
12
[oz_ap]
metric ounce
mass
[oz_m]
[OZ_M]
no
28
g
-Note that some U.S. pharmacies still use this system of apothecaries'
-weights when measuring the amount of drugs. This system is very
-different from the avoirdupois system though based on the same
-grain. The apothecaries' dram is more than twice as much as the
-avoirdupois dram, the ounce is still 10% greater than the avoirdupois
-ounce while the pound is 20% less than the avoirdupois pound. The
-apothecaries' system, just as the troy system, keeps the original
-Roman subdivision of an ounce (la. “uncia” to be 1/12 pound
-(la. “libra”). Hence is the apothecaries' pound about 22% smaller
-than the avoirdupois pound, while its subdivisions are greater than
-the respective avoirdupois subdivisions (ounce 10%, dram 119%). This
-difference in the weight systems is the most important reason why
-ANSI X3.50 should not be applied in medicine, where both systems are
-being used and therefore misinterpreations are inevitable.
-
§42 typesetter's lengths
-
- ■1
-The units of length as used in typesetting are defined in .
- ■2
-The meaning of the columns is declared in §34.
-
name
kind of quantity
c/s
c/i
M
definition value
definition unit
Units used in typesetting
line
length
[lne]
[LNE]
no
1
[in_i]/12
point
length
[pnt]
[PNT]
no
1
[lne]/6
pica
length
[pca]
[PCA]
no
12
[pnt]
Printer's point
length
[pnt_pr]
[PNT_PR]
no
0.013837
[in_i]
Printer's pica
length
[pca_pr]
[PCA_PR]
no
12
[pnt_pr]
pied, French foot
length
[pied]
[PIED]
no
32.48
cm
pouce, French inch
length
[pouce]
[POUCE]
no
1
[pied]/12
ligne, French line
length
[ligne]
[LIGNE]
no
1
[pouce]/12
didot, Didot's point
length
[didot]
[DIDOT]
no
1
[ligne]/6
cicero, Didot's pica
length
[cicero]
[CICERO]
no
12
[didot]
-There are three systems of typesetter's lengths in use today:
-Françcois-Ambroise Didot (1730-1804), a publisher in Paris,
-invented this system based on the traditional subdivisions of the
-customary units: 1 line was 1/12 inch and 1/6 line was one
-point. Henceforth the size of letters were measured in point. However,
-the Didot system is based on the pouce, i.e. the french
-inch, which, just as the English inch, is 1/12 pied
-(foot). But the French foot was about 6.5% greater than the British
-Imperial foot. In the Anglo-American realm the typesetter's point was
-based on the British Imperial inch, with the same
-subdivisions. However, in the type foundries' industry the original
-definition of a point drifted apart, and in the late 19th century
-U.S. type foundries reestablished a slightly (0.375%) greater standard
-point. This point made its way back to the British. However, recently,
-the computer typesetting industry readjusted the point to its original
-size of 1/72 inch. All three systems, however, are still being used
-today.
-
Other Legacy Units
§43 legacy units for heat and temperature
-
- ■1
-Older units of heat (energy) and temperature are defined in .
- ■2
-The meaning of the columns is declared in §30.2.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are either not standardized or
-standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
- ■4
-The function pair denoted “degf(5 K/9)” is
-defined as fF(x) = 9/5 x - 459.67 to convert
-from kelvin to degree Fahrenheit, and
-fF-1(x) = 5/9 (x + 459.67) to
-convert from degree Fahrenheit back to kelvin.
- ■5
-The function pair denoted “degre(5 K/4)” is
-defined as fRé(x) = 4/5 x - 218.52 to convert
-from kelvin to degree Réaumur, and
-fRé-1(x) = 5/4 (x + 218.52) to
-convert from degree Réaumur back to kelvin.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Other Units for Heat and Temperature
degree Fahrenheit
temperature
°F
[degF]
[DEGF]
no
•
degf(5 K/9)
degree Rankine
temperature
°R
[degR]
[degR]
no
5
K/9
degree Réaumur
temperature
°Ré
[degRe]
[degRe]
no
•
degre(5 K/4)
calorie at 15 °C
energy
cal15°C
cal_[15]
CAL_[15]
yes
4.18580
J
calorie at 20 °C
energy
cal20°C
cal_[20]
CAL_[20]
yes
4.18190
J
mean calorie
energy
calm
cal_m
CAL_M
yes
4.19002
J
international table calorie
energy
calIT
cal_IT
CAL_IT
yes
4.1868
J
thermochemical calorie
energy
calth
cal_th
CAL_TH
yes
4.184
J
calorie
energy
cal
cal
CAL
yes
1
cal_th
nutrition label Calories
energy
Cal
[Cal]
[CAL]
no
1
kcal_th
British thermal unit at 39 °F
energy
Btu39°F
[Btu_39]
[BTU_39]
no
1.05967
kJ
British thermal unit at 59 °F
energy
Btu59°F
[Btu_59]
[BTU_59]
no
1.05480
kJ
British thermal unit at 60 °F
energy
Btu60°F
[Btu_60]
[BTU_60]
no
1.05468
kJ
mean British thermal unit
energy
Btum
[Btu_m]
[BTU_M]
no
1.05587
kJ
international table British thermal unit
energy
BtuIT
[Btu_IT]
[BTU_IT]
no
1.05505585262
kJ
thermochemical British thermal unit
energy
Btuth
[Btu_th]
[BTU_TH]
no
1.054350
kJ
British thermal unit
energy
btu
[Btu]
[BTU]
no
1
[Btu_th]
horsepower
power
[HP]
[HP]
no
550
[ft_i].[lbf_av]/s
tex
linear mass density (of textile thread)
tex
tex
TEX
yes
1
g/km
Denier
linear mass density (of textile thread)
den
[den]
[DEN]
no
1
g/9/km
-The degree Fahrenheit was missing in ANSI X3.50. HL7's
-“ISO+/ANS+” code defined the degree Fahrenheit under the
-symbol “DEGF” which is reflected here. This
-is the reason why The Unified Code for Units of Measure does not define a new symbol
-“Fah” similar to
-“Cel” of
-ISO 2955 for the degree Celsius.
-
-Defining precise semantics for legacy units for “quantity of
-heat” is difficult. The many variants of these units are
-frequently confused because there is not just a calorie and not just a
-british thermal unit. The different calories usually being used vary
-by 1% but the confusion can result in an error as high as 100000%!
-Thus, if exactness and non-ambiguity is important one should use the
-joule to report amounts of heat, just like for any other energy and
-work kind-of-quantities.
-
-The gram-calorie, sometimes called “small calorie” is
-defined as the amount of heat required to raise the temperature of 1
-gram of Water from 14.5 °C to 15.5 °C. According to
-Encyclopedia Britannica, this is the calorie most often used in
-engineering. There is also a less frequently used gram-calorie at
-19.5 °C to 20.5 °C and a mean calorie that is 1/100
-of the amount of heat required to raise the temperature from
-0 °C to 100 °C. The International Table
-calorie is defined by the International Conference on the
-Properties of Steam (1956) and is used in steam engineering. In
-chemistry a “thermochemical” calorie is used for reaction
-enthalpies.
-
-To complete the confusion, there is also a kilogram-calorie (“large
-calorie” , that has a similar definition based on a kilogram
-instead of a gram of water. This kilocalorie has also been called
-“calorie” in the sloppy speech of everyday life about
-food. U.S. “Nutrition Facts” that label almost every
-American food say “Calories: xxx” The International
-Union of Nutritional Sciences recommends using either the joule
-or a kilocalorie based on the thermochemical calorie. Because of a
-perceived popular demand The Unified Code for Units of Measure defines the nutrition Calorie as
-“Cal” with the conventional captital first
-letter. For the case insensitive variant of The Unified Code for Units of Measure, the symbol is
-enclosed in square brackets (“[CAL]”).
-
-Only the International Table calorie and the thermochemical calorie
-have exact definitions. To give some guidance in the confusing plenty
-of different calories, The Unified Code for Units of Measure defines a default symbol
-“cal” as an alias for the thermochemical
-calorie, because the calorie is mostly used today in medicine and
-biochemistry. On the other hand, we consider engineers smart enough to
-select the precise calorie they mean.
-
-Similar to the calories, various “British Thermal Unit”
-(Btu) are defined and the confusion continues. One Btu is defined as
-the amount of heat necessary to raise the temperature of one
-avoirdupois pound of water by one degree Fahrenheit beginning from
-various temperatures (39 °F, 59 °F, or
-60 °F). There is also the International Table Btu and the
-thermochemical Btu. Just as with the calorie we define a default
-symbol “Btu” as an alias for the
-thermochemical Btu.
-
§44 units used predominantly in clinical medicine
-
- ■1
-Units used mainly in clinical medicine are defined in .
- ■2
-The meaning of the columns is declared in §34.
- ■3
-The function pair denoted “hpX(1 l)” is
-defined as fhp X(x) = - lg x to
-convert from a number fraction (dillution) per liter to the
-homeopathic potency value of the decimal (X) series, and fhp
-X-1(x) = 10-x to convert
-from the potency value back to the number fraction. Likewise, the
-function pair denoted “hpC(1 l)” is defined
-as fhp C(x) = - ln(x) / ln(100)
-to convert from a number fraction (dillution) per liter to the
-homeopathic potency value of the centesimal (C) series, and fhp
-C-1(x) = 100-x to convert
-from the potency value back to the number fraction. Aanalogous
-functions are defined for the millesimal (M) series with basis 1,000
-and the series and the quintamillesimal (Q) series with basis 50,000.
- ■4
-The function pair denoted “100tan(1 rad)” is
-defined as fPD(α) = tan(α) * 100 to
-convert from a plane angle α to a prism diopter value (or a
-slope percent value) and
-fPD-1(x) = arctan(x / 100) to
-convert from prism diopter (or slope percent) value x back to a plane angle.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Units Used Predominantly in Clinical Medicine
meter of water column
pressure
m H2O
m[H2O]
M[H2O]
yes
9.80665
kPa
meter of mercury column
pressure
m Hg
m[Hg]
M[HG]
yes
133.3220
kPa
inch of water column
pressure
in H2O
[in_i'H2O]
[IN_I'H2O]
no
1
m[H2O].[in_i]/m
inch of mercury column
pressure
in Hg
[in_i'Hg]
[IN_I'HG]
no
1
m[Hg].[in_i]/m
peripheral vascular resistance unit
fluid resistance
P.R.U.
[PRU]
[PRU]
no
1
mm[Hg].s/ml
Wood unit
fluid resistance
Wood U.
[wood'U]
[WOOD'U]
no
1
mm[Hg].min/L
diopter
refraction of a lens
dpt
[diop]
[DIOP]
no
1
/m
prism diopter
refraction of a prism
PD
[p'diop]
[P'DIOP]
no
•
100tan(1 rad)
percent of slope
slope
%
%[slope]
%[SLOPE]
no
•
100tan(1 rad)
mesh
lineic number
[mesh_i]
[MESH_I]
no
1
/[in_i]
Charrière, french
gauge of catheters
Ch
[Ch]
[CH]
no
1
mm/3
drop
volume
drp
[drp]
[DRP]
no
1
ml/20
Hounsfield unit
x-ray attenuation
HF
[hnsf'U]
[HNSF'U]
no
1
1
metabolic equivalent
metabolic cost of physical activity
MET
[MET]
[MET]
no
3.5
mL/min/kg
homeopathic potency of decimal series (retired)
homeopathic potency (retired)
X
[hp'_X]
[HP'_X]
no
•
hpX(1 1)
homeopathic potency of centesimal series (retired)
homeopathic potency (retired)
C
[hp'_C]
[HP'_C]
no
•
hpC(1 1)
homeopathic potency of millesimal series (retired)
homeopathic potency (retired)
M
[hp'_M]
[HP'_M]
no
•
hpM(1 1)
homeopathic potency of quintamillesimal series (retired)
homeopathic potency (retired)
Q
[hp'_Q]
[HP'_Q]
no
•
hpQ(1 1)
homeopathic potency of decimal hahnemannian series
homeopathic potency (Hahnemann)
X
[hp_X]
[HP_X]
no
•
•
homeopathic potency of centesimal hahnemannian series
homeopathic potency (Hahnemann)
C
[hp_C]
[HP_C]
no
•
•
homeopathic potency of millesimal hahnemannian series
homeopathic potency (Hahnemann)
M
[hp_M]
[HP_M]
no
•
•
homeopathic potency of quintamillesimal hahnemannian series
homeopathic potency (Hahnemann)
Q
[hp_Q]
[HP_Q]
no
•
•
homeopathic potency of decimal korsakovian series
homeopathic potency (Korsakov)
X
[kp_X]
[KP_X]
no
•
•
homeopathic potency of centesimal korsakovian series
homeopathic potency (Korsakov)
C
[kp_C]
[KP_C]
no
•
•
homeopathic potency of millesimal korsakovian series
homeopathic potency (Korsakov)
M
[kp_M]
[KP_M]
no
•
•
homeopathic potency of quintamillesimal korsakovian series
homeopathic potency (Korsakov)
Q
[kp_Q]
[KP_Q]
no
•
•
-Clinical medicine all over the world still uses mm Hg to
-measure arterial blood pressure, and often the instruments used are
-real mercury columns. Likewise, the central venous blood pressure is
-often measured using simple water columns which is very practical for
-the routine. The units m H2O and m Hg
-are metric units even though they are “not accepted” for
-use with the SI for quite a while. Although more and more hospitals in
-Europe switch to using the pascal to measure partial pressures in
-blood gas analysis, the older units will not vanish any time soon.
-
-In the U.S. the inch is sometimes used instead of the millimeter, and
-because the inch is non-metric the inch of mercury or water columns is
-non-metric as well.
-
-The peripheral vascular resistance unit is the vascular resistance on
-which a perfusion pressure of 1 mm Hg causes a flow of
-1 ml/s.
-
-The “mesh” occurs in the NIST Guide to the SI. It seems like it is
-the customary counterpart of the diopter.
-
-The unit “charrière” originates from a French manufacturer of
-medical instruments by that name. One charrière is the gauge of a
-catheter with a circumference of approximately 1 mm
-such that it is by convention exactly one third of a millimeter.
-In the U.S. the charrière is simply called “french”
-
-Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as 1/π, this use,
-however this was never common use of the unit.
-This is why the definition has been corrected instead of adding another one.
-
-A drop is a variable amount of fluid and depends on the device and
-technique used to produce the drop and on the physical properties of
-the fluid. This is similar to units like cup, tablespoon, and teaspoon
-that depend on the spoon or cup and are not exact either. However, in
-clinical medicine medication is dispensed by drops and unlike a
-“tablet” a drop refers to a real physical kind of quantity, volume,
-though not very exact.
-
-Note that Unified Code for Units of Measure versions prior to 1.9 defined this unit as mL/12, this use,
-however this was not common use of the unit.
-This is why the definition has been corrected instead of adding another one.
-Typically it is stated as mL/20.
-Original research using a 20 mL syringe filled to 5 mL shows that
-1 mL has 25 drops of water,
-when tensides are added, the number goes up to 45.
-A saturated saline solution required 30 and plant oil 35.
-The speed of dropping, pressure and position of the syringe or the lumen of the outlet,
-open or partially clogged with wax,
-did not have a significant influence on the number of drops.
-While the original research suggests that the division should be by 25 or more, we use the common notion.
-It is discouraged to use the drop as any standard unit.
-
-The Hounsfield unit is a unit of X-ray attenuation used in evaluating
-CT scans. It is defined on an interval scale where air is -1000 HF,
-water is 0 HF and bone is +1000 HF. Any advice as to how this unit can
-be related to metric units of radiant intensity decremence is
-appreciated.
-
-We have always pointed out that the homeopathic teaching takes potency
-not as equivalent to dillution and the C and X series would not equate
-to each other in the strictly numerical manner. Homeopathic potency
-includes the “agitation” (a vigorous shaking) that needs
-to occur in every step of the dilluting process. Therefore as of April 2010,
-the hoemeopathic units are declared "arbitrary units", that is, they
-are no longer convertible. Therefore, also, we discontinue defining them
-using the dillution functions. The dillution functions sometimes cause
-truly astronomical values, leading to overflow conditions, e.g. in
-such potencies as 30 C or 100 X or 10 M, which do actually occur in
-hoemeopathics that are on the market. The previous units continue to
-exist as "retired", but their symbols now have a prime (apostrophe) in
-them.
-
§45 chemical and biochemical units
-
- ■1
-Units used mainly in chemical and biochemical laboratories are defined
-in .
- ■2
-The meaning of the columns is declared in §43.
- ■3
-The function pair denoted “ph(1 mol/l)” is
-defined as fpH(x) = - lg x to
-convert from moles per liter to the pH value, and
-fpH-1(x) = 10-x
-to convert from the pH value back to moles per liter.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Units used in Chemical and Biomedical Laboratories
equivalents
amount of substance
eq
eq
EQ
yes
1
mol
osmole
amount of substance (dissolved particles)
osm
osm
OSM
yes
1
mol
pH
acidity
pH
[pH]
[PH]
no
•
pH(1 mol/l)
gram percent
mass concentration
g%
g%
G%
yes
1
g/dl
Svedberg unit
sedimentation coefficient
S
[S]
[S]
no
1
10*-13.s
high power field
view area in microscope
HPF
[HPF]
[HPF]
no
1
1
low power field
view area in microscope
LPF
[LPF]
[LPF]
no
100
1
katal
catalytic activity
kat
kat
KAT
yes
1
mol/s
Unit
catalytic activity
U
U
U
yes
1
umol/min
international unit
arbitrary
IU
[iU]
[IU]
yes
•
•
international unit
arbitrary
i.U.
[IU]
[IU]
yes
•
•
arbitary unit
arbitrary
arb. U
[arb'U]
[ARB'U]
no
•
•
United States Pharmacopeia unit
arbitrary
U.S.P.
[USP'U]
[USP'U]
no
•
•
GPL unit
biologic activity of anticardiolipin IgG
[GPL'U]
[GPL'U]
no
•
•
MPL unit
biologic activity of anticardiolipin IgM
[MPL'U]
[MPL'U]
no
•
•
APL unit
biologic activity of anticardiolipin IgA
[APL'U]
[APL'U]
no
•
•
Bethesda unit
biologic activity of factor VIII inhibitor
[beth'U]
[BETH'U]
no
•
•
anti factor Xa unit
biologic activity of factor Xa inhibitor (heparin)
[anti'Xa'U]
[ANTI'XA'U]
no
•
•
Todd unit
biologic activity antistreptolysin O
[todd'U]
[TODD'U]
no
•
•
Dye unit
biologic activity of amylase
[dye'U]
[DYE'U]
no
•
•
Somogyi unit
biologic activity of amylase
[smgy'U]
[SMGY'U]
no
•
•
Bodansky unit
biologic activity of phosphatase
[bdsk'U]
[BDSK'U]
no
•
•
King-Armstrong unit
biologic activity of phosphatase
[ka'U]
[KA'U]
no
•
•
Kunkel unit
arbitrary biologic activity
[knk'U]
[KNK'U]
no
•
•
Mac Lagan unit
arbitrary biologic activity
[mclg'U]
[MCLG'U]
no
•
•
tuberculin unit
biologic activity of tuberculin
[tb'U]
[TB'U]
no
•
•
50% cell culture infectious dose
biologic activity (infectivity) of an infectious agent preparation
CCID50
[CCID_50]
[CCID_50]
no
•
•
50% tissue culture infectious dose
biologic activity (infectivity) of an infectious agent preparation
TCID50
[TCID_50]
[TCID_50]
no
•
•
50% embryo infectious dose
biologic activity (infectivity) of an infectious agent preparation
EID50
[EID_50]
[EID_50]
no
•
•
plaque forming units
amount of an infectious agent
PFU
[PFU]
[PFU]
no
•
•
focus forming units
amount of an infectious agent
FFU
[FFU]
[FFU]
no
•
•
colony forming units
amount of a proliferating organism
CFU
[CFU]
[CFU]
no
•
•
index of reactivity
amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.
IR
[IR]
[IR]
no
•
•
bioequivalent allergen unit
amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters
BAU
[BAU]
[BAU]
no
•
•
allergen unit
procedure defined amount of an allergen using some reference standard
AU
[AU]
[AU]
no
•
•
allergen unit for Ambrosia artemisiifolia
procedure defined amount of the major allergen of ragweed.
Amb a 1 U
[Amb'a'1'U]
[AMB'A'1'U]
no
•
•
protein nitrogen unit
procedure defined amount of a protein substance
PNU
[PNU]
[PNU]
no
•
•
Limit of flocculation
procedure defined amount of an antigen substance
Lf
[Lf]
[LF]
no
•
•
D-antigen unit
procedure defined amount of a poliomyelitis d-antigen substance
[D'ag'U]
[D'AG'U]
no
•
•
fibrinogen equivalent unit
amount of fibrinogen broken down into the measured d-dimers
[FEU]
[FEU]
no
•
•
ELISA unit
arbitrary ELISA unit
[ELU]
[ELU]
no
•
•
Ehrlich unit
Ehrlich unit
[EU]
[EU]
no
•
•
-The amount of electrolytes (including acids and bases) is often
-reported as equivalents instead of amount of substance. This
-habit originates in the measuring technique of titration. The Unified Code for Units of Measure
-does not endorse using equivalents. We rather recommend to calculate
-the proper amount of substance after titration, so that
-1 eq of Na+ ions is 1 mol, but
-1 eq of Ca++ ions is
-0.5 mol. The problem with equivalents is that the measurement
-results are difficult to compare because their magnitude depends on
-the degree of ionization of the substance. That is to say, the meaning
-of equivalents depend not only on the substance, but also on the state
-that the substance is in. For example, in iron we have to distinguish
-Fe2+ from Fe3+, so that noone can be sure how much 1 eq
-of iron really is.
-
-Degrees of acidity are normally measured as “the pH value” that is
-the negative decadic logarithmus of the concentration of free protons
-(or hydronium ions) expressed in 1 mol/l. Usually the pH value
-is considered a dimensionless quantity. With the semantics of special
-units (§§21ff). The Unified Code for Units of Measure can link the pH value tighter to the system
-of proper units. Thus “[pH]” is defined as a unit symbol with
-the corresponding unit 1 mol/l. This allows conversions between
-pH and concentrations, and---because The Unified Code for Units of Measure identifies the mole with
-the Avogadro number---can be converted to an absolute number of
-protons: for example, pH 7.4 converts instantly to 0.04 μmol/l
-and approximately 23975 protons per picoliter.
-
-The unit osmol as the amount of dissolved particles is to be used with
-caution because it interferes with “osmolar” which is the amount of
-dissolved particles per liter.
-
-The gram-percent (g%) is a metric unit that has the same origin as
-%vol. Originally it was a dimensionless quanitiy expressing a ratio of
-two masses and thus equal to 1/100 g/g. Because water is the most
-important solvent in biochemistry and 1 g of a solution in water
-has a volume of approximately 1 ml, the meaning of the unit
-1 g% drifted towards 1/100 g/ml and farther off to
-1 g/dl. That way, the unit 1 g% regained a proper dimension
-(mass concentration, M/L3). Most
-often it is used as 1 mg% = 1 mg/dl but all other SI
-prefixes are possible.
-
-The Svedberg unit S is used to classify macromolecules (e.g.,
-ribosomes) in different phases of a centrifugate.
-
-The units “high power field” (HPF) and “low power field” (LPF) are
-used in microscopic analysis mostly of urine sediments. These units
-are used in semi-quantitative estimations of the abundance of things
-like crystals, bacteria or red and white blood cells. The number of
-the objects of interest is counted in one view field in the microscope
-with a 10 times (low) or 100 times (high) magnifying objective lens
-and then reported as the number per LPF or per HPF
-respectively. Obviously the number of objects seen depends on the way
-the slide is prepared: the amount of emulgate dropped, its initial
-dilution, and the way the drop is smeared. These preparations of the
-slides are usually carried out with great routine but little
-exactness, hence LPF and HPF can hardly relate to any exact and
-meaningful volume.
-
-The best we could do is to define LPF and HPF as areas of the viewed
-field. However, the area of the field varies with the kind of eyepiece
-used in the microscope. The so called “field number” of
-the eyepiece, i.e., the diameter of the view area is typically between
-18 mm and 25 mm which is divided by the magnification of the
-objective lense to yield the actual field diameter d. Because the
-area A = π d2, the LPF can be anywhere
-between 2.5 mm^2 and 5 mm^2 and the HPF between
-0.025 mm^2 and 0.05 mm^2. Because of this inexactness, we
-define LPF and HPF as dimensionless quantities with magnitudes that
-reflect the ratio of the view areas, i.e. 100:1. This allows at least
-to convert between numbers per LPF and per HPF and vice versa.
-
-The unit “U” of enzymatic activity was defined in 1964 by
-the International Union of Biochemistry as the catalytic
-activity that catalyzes the transformation of 1 μmol of the
-substrate per minute. This unit is defined so that normal biological
-enzyme activities are in the range of 1 U-100 U. This unit
-could not be adopted by the CGPM because it violates the style rules
-of the SI, i.e. “unit” is a very indistinctive word,
-“U” is a capital letter, and the definition is not
-coherent with the SI.
-
-An SI-coherent unit katal 1 kat = 1 mol/s, had been proposed
-for adoption into the SI over 30 years ago and was finally adopted by
-the CGPM in 1999. However, perhaps because the unit katal is 7 orders
-of magnitudes greater than normal catalytic activities, in practice
-the katal has not gained much in popularity over the unit
-“U”.
-
-In its 1999 decision to add the katal to the SI, the CGPM explicitly
-“recommends that when the katal is used, the measurand be
-specified by reference to the measurement procedure; the measurement
-procedure must identify the indicator reaction.” The general
-problem with catalytic activities is that these heavily depend not
-only on the substance but on many side-conditions, such as
-temperature, acidity of the solution, presence or absence of
-cofactors, inhibitors or activators, and the amount of substrate.
-Particularly a catalytic activity measured in vitro says
-little about the activity in vivo. Hence the use of katal
-alone without specifying exactly the measurement method, is not
-sufficient to improve comparability of the measurement of catalytic
-substances.
-
-Because of the influence of the measurement method, results of
-biologic activity measurement cannot usually be converted. This is a
-particular problem with the many named arbitrary units that are still
-used. The Unified Code for Units of Measure initially defined all arbitrary units as
-dimensionless. But since this leads to the false conclusion that all
-arbitrary units are the same, the Unified Code for Units of Measure now accounts for arbitrary units
-using a special flag. When a unit is marked as arbitrary, it is
-isolated from all other units, and no result can be converted from
-and to that unit (See §24).
-
-The unit “TCID50” expresses the result of
-quantifying an infectious agent in tissue culture. It is a titer, expressing the
-highest dilution of the specimen which produces a cytopathic effect in
-50% of the cell cultures or wells inoculated.
-
-[Sources: Clinical Microbiology Reviews, July 1998, Vol. 11(3), p. 533-554]
-
-The unit “CCID50” expresses the result of
-quantifying an infectious agent in a cell culture. It is a titer, expressing the
-highest dilution of the specimen which produces a cytopathic effect in
-50% of the cell cultures or wells inoculated.
-
-[Sources: Schmidt NJ. Cell culture procedures for diagnostic
-virology, p. 78-79. In Schmidt NJ, Emmons RW (ed.),
-Diagnostic procedures for viral, rickettsial and chlamydial
-infections, 5th ed. American Public Health Association, Inc.,
-Washington, D.C.]
-
-The unit “PFU” measures viral infectivity in a sensitive assay in cell
-culture where the titer is determined by counting the number of
-visible plaques developed following viral infection of a sensitive
-cell culture and results recorded as PFU/ml.
-
-The unit “FFU” measures viral infectivity in a sensitive
-assay in cell culture, for example, using immunofocus or vital dyes
-technology. For example, the titer is determined by visualizing
-infected areas of a cell monolayer by probing with virus-specific
-antibodies and results are recorded as FFU/ml.
-
-[Sources: WHO expert committee on biological standardization (55th Edition). WHO Technical Report #932;]
-
-The unit “BAU” measures amount of an allergen based on an in-vivo callibrated test using the Intradermal Dilution for 50mm sum of Erythema Diameters (ID50EAL) Method.
-
-[Source: Turkeltaub PC. Biological Standardization based on
-Quantitative Skin Testing - The 1D50 EAL Method. Arbeiten aus dem
-Paul-Ehrlich-Institut, dem Georg-Speyer-Haus und dem
-Ferdinand-Blum-Institut, Band 80 Gustav Fischer Verlag' Stuttgart, New
-York. 1987]
-
-EDITORIAL NOTE: This method needs to be further investigated to
-determine a quantitative model which relates that would relate 1 BAU
-with a standardized amount of substance of the standardized allergenic
-protein. The situation is not unlike the titer and is not worse than
-for many of the arbitrary units listed already. In a future revision a
-stronger formalized metrologic model will be added to this
-specification.
-
-The unit “AU” (for allergen unit) is for the amount of an
-allergen based some procedure defined and allergen specific reference
-standard. Note, do not confuse with astronomical unit, distinguish
-[AU] from AU
-The unit “IR” has been defined to measure the
-allergenicity of an allergen extract. The allergen extract contains
-100 IR/ml when, on a skin prick-test using a Stallerpoint®, it induces
-a wheal diameter of 7 mm in 30 patients sensitized to this allergen,
-(geometric mean). The cutaneous reactivity of these patients is
-simultaneously demonstrated by a positive skin prick-test to either 9
-% codeine phosphate or 10 mg/ml histamine. The IR unit of Stallergenes
-is not comparable to the units used by other allergen manufacturers.
-
-EDITORIAL NOTE: Should more manufacturer specific units come up in the
-future, we will include a manufacturer abbreviation in the unit symbol.
-
-The unit “Amb a 1 U” is an arbitrary unit for the
-amount of Amb a 1, a 38 kD glycoprotein that is the major allergen in
-short ragweed (Ambrosia artemisiifolia) pollen allergen extracts. The
-amount of Amb a 1 units are determined by an in-vitro comparison of a
-test short ragweed extract to a FDA CBER Amb a 1 reference standard.
-Amb a 1 is the up-to-date term for the short ragweed pollen allergen
-that was originally described as Antigen E. They are
-synonyms. Although Antigen E is no longer used in the scientific
-literature, its meaning is unambiguous. The manufacturers are still
-licensed to use Antigen E as the designation. Therefore, Amb a 1 U =
-AgE U. There is an empiric relationship between Amb a 1 U and BAU
-(350 Amb a 1 U/mL = 100,000 BAU/mL). It was based on studies done
-decades ago on 15 study subjects. FDA's CBER considered mandating a
-conversion to BAU/mL in the labeling of short ragweed pollen products,
-based on AgE content, but this was never implemented. CBER provides
-two US standard reagents to manufacturers for their determination of
-Amb a 1 content, a reference standard and a reference serum. The assay
-used is a radial immunodiffusion assay (RID). Solid references
-discussing the relationship between Antigen E U/mL/Amb a 1 U/mL and
-micrograms of Antigen E U/mL/Amb a 1/mL are being researched.
-
-EDITORIAL NOTE: The University of Texas' Structural Database of
-Allergenic Proteins (SDAP) contains close to 1000 allergens,
-isoallergens. Comparing the prospect of thousands of such special
-units for every allergen, one begins to appreciate even the
-metrologically comlex BAU unit.
-
-The unit “PNU” is defined as follows: 1 PNU/ml is
-equivalent to 1 x 10-5 mg of nitrogen determined to be in the material
-precipitated from 1 ml of allergenic extract by phosphotungstic acid
-(micro-Kjeldahl method). Typically, 1 mg of protein nitrogen equals
-100,000 PNU. The unit “PNU” is an old protein unit
-unrelated to SI units. Several hundred products, from several
-manufacturers, are labeled in PNUs, and a switch to SI units for
-protein content is impractical.
-
-The unit “Lf” is called the “Limit of
-Floculation” or “limes flocculationis”. It is based
-on an antigen-antibody precipitation reaction and used for the
-quantification of the antigenic content of tetanus and diphteria toxin
-and toxoid. The limes flocculationis is the smallest amount of antigen
-that when mixed with one unit (Ramon) of antitoxin (antibody),
-produces the most rapid floccules in the flocculation test. For a
-purified crystalline tetanus or diphteria toxin 1 Lf is equivalent to
-~ 2 μg of protein. For tetanus and diphtheria toxoids, antigenic
-purity is defined and controlled by Lf units per mg of protein
-nitrogen.
-
-Many sources describe the unit of antitoxin as "international unit"
-(IU), however, this is no longer correct. It was correct for the first
-international standard for antitoxin, established in 1920s. It had an
-arbitrary unit defined as IU for in vivo antitoxic activity and that
-unit was also used for establishing Lf units of toxins and toxoids,
-that is why this standard had a ratio of 1 between flocculating
-activity (Lf) and antitoxic activity (IU). When WHO replaced that
-standard in 1970s, the second international standard related to Lf by
-a factor of 1.4 instead of 1. Ultimately, WHO decided to move to the
-toxoid standards and calibrated tetanus toxoid for flocculation using
-Lf unit (not IU). With the implementation of WHO standards for
-flocculation as tetanus and diphtheria toxoids, antitoxin standards
-were discontinued by the WHO. [Source: Lyng J. Quantitative
-Estimation of Diphtheria and Tetanus Toxoids - 4 - Toxoids as
-International Reference Materials Defining Lf-units for Diphtheria and
-Tetanus Toxoids. Biologicals (1990) 18, 11-17. Also on the
-definition of the IU for antitoxin: Spaun J, Lyng J. Replacement
-of the International Standard for Tetanus Antitoxin and the Use of the
-Standard in the Flocculation Test. Bull. Wid Hith Org. 1970, 42,
-523-534.http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2427455 and
-personal communication with FDA CBER representatives.]
-
§46 levels
-
- ■1
-Pseudo-units defined to express logarithms of ratios between two
-quantities of the same kind are defined in .
- ■2
-The meaning of the columns is declared in §43.
- ■3
-The function pairs denoted “ln”
-“lg” and “2lg” are
-defined as the natural logarithm, the decadic logarithm, and the
-decadic logarithm times two with their respective inverse functions.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Levels
neper
level
Np
Np
NEP
yes
•
ln(1 1)
bel
level
B
B
B
yes
•
lg(1 1)
bel sound pressure
pressure level
B(SPL)
B[SPL]
B[SPL]
yes
•
2lg(2 10*-5.Pa)
bel volt
electric potential level
B(V)
B[V]
B[V]
yes
•
2lg(1 V)
bel millivolt
electric potential level
B(mV)
B[mV]
B[MV]
yes
•
2lg(1 mV)
bel microvolt
electric potential level
B(μV)
B[uV]
B[UV]
yes
•
2lg(1 uV)
bel 10 nanovolt
electric potential level
B(10 nV)
B[10.nV]
B[10.NV]
yes
•
2lg(10 nV)
bel watt
power level
B(W)
B[W]
B[W]
yes
•
lg(1 W)
bel kilowatt
power level
B(kW)
B[kW]
B[KW]
yes
•
lg(1 kW)
-These units are “pseudo-units” because of their standardized
-definition as being logarithms of a ratio of two measurements with the
-same kind-of-quantity: first, the units cancel out, and second, the
-logarithm does not produce a new unit. These units were defined as
-“metric” because they are used as such, although a multiplication
-operation is not defined on these quantities. Multiplication of the
-measurement value with a scalar r is equivalent to raising the
-original ratio to the r-th power.
-
-According to NIST, the neper is used as the ratio level of field
-quantities and the bel is used for the level of power quantities. The
-factor 2 comes into play when field quantities (like electric
-potential) are expressed in decibel. The specialized bel-units B(V),
-B(mV), B(W), etc. are defined as the level of the measured quantity
-with reference quantities 1 V, 1 mV, and 1 W
-respectively. [NIST Sp. Pub. 811, 1995 Edition]
-
-Given the sound pressure level expressed in dB(SPL) it is feasible to
-define dB(A) for the A scale of loudness. Similar units such as phon
-and sone could be defined as well if a good approximation for the
-respective characteristic functions are available. Any advice is
-welcome.
-
§47 miscellaneous units
-
- ■1
-Not otherwise classified units are defined in .
- ■2
-The meaning of the columns is declared in §30.2.
- ■3
-Only the columns titled “c/s,” “c/i,”
-“M,” “value,” and “definition” are
-normative. Full name and print symbol are either not standardized or
-standarized by other bodies and are out of scope of The Unified Code for Units of Measure.
- ■4
-The function pair denoted “sqrt” is defined as
-the square root with its respective inverse function, the square.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Miscellaneous Units
stere
volume
st
st
STR
yes
1
m3
Ångström
length
Å
Ao
AO
no
0.1
nm
barn
action area
b
b
BRN
no
100
fm2
technical atmosphere
pressure
at
att
ATT
no
1
kgf/cm2
mho
electric conductance
mho
mho
MHO
yes
1
S
pound per sqare inch
pressure
psi
[psi]
[PSI]
no
1
[lbf_av]/[in_i]2
circle
plane angle
circ
circ
CIRC
no
2
[pi].rad
spere
solid angle
sph
sph
SPH
no
4
[pi].sr
metric carat
mass
ctm
[car_m]
[CAR_M]
no
0.2
g
carat of gold alloys
mass fraction
ctAu
[car_Au]
[CAR_AU]
no
1
/24
Smoot
length
[smoot]
[SMOOT]
no
67
[in_i]
meter per square seconds per square root of hertz
amplitude spectral density
[m/s2/Hz^(1/2)]
[M/S2/HZ^(1/2)]
no
•
sqrt(1 m2/s4/Hz)
-Although called “metric carat,” the carat really is a
-customary unit, still used for precious gems. The word carat comes
-from greek
-κερατίκον (small
-horn) that originally was the horn-shaped grain of a locust-tree
-species in the pea family, hence the carat grain is about three barley
-grain that the other English systems of weights are based on. The arab
-carat was 1/24 of an ounce, the Imperial carat (1877) was
-205.3 mg or 3.168 grain. In other European cities, the carat
-was 205.8 mg (Hamburg, Lisboa) but there were great variations
-from 188.5 mg (Bologna) to 213.5 mg (Torino). Due to these
-variations no customary carat has gained importance today aside from
-the “metric carat” defined as 200 mg exactly.
-[All About Carats URL:
-http://www.channel1.com/users/scales/carat-def.htm]
-
-The “Mark” was a mass unit for precious metals (Köln 234 g,
-Paris 245 g, Wien 277 g). A mark of gold was subdivided into
-24 “karat,” a mark of silver into 16 “lot.” This led to the other
-use of the unit “carat” to mean 1/24 in measuring the finesse of
-pure gold in an alloy. For example, an 8 carat gold alloy contains 8
-parts of gold on 16 parts of silver = 8/24 = 1/3, or 333 per
-mille. This carat is spelled “karat” in the U.S. while other
-countries do not use different spellings.
-
-The unit “[m/s2/Hz^(1/2)]” is defined as a special unit to represent the odd fractional exponent of the second obtaining for the unit of the amplitude spectral density (ASD). It is defined based on the unit for the power spectral density (PSD), that is 1 (m/s2)2/Hz or 1 m2 · s-3. Since the two measurements are directly comparable, PSD = ASD2.
-
Prefixes and Units Used in Information Technology
§48 units used in information technology
-
- ■1
-Units used in information technology are defined in table 22.
- ■2
-The meaning of the columns is declared in §43.
- ■3
-The function pair denoted “ld” is defined as
-the dual logarithm with its respective inverse function
-f-1(x) = 2x).
-
-This table is not complete. There are other units such as shannon
-(Sh), erlang (E), or hartley (Hart), for which we had no quantitative
-definitions. Any advice is appreciated.
-
-The bit is defined twice. One definition with a subscript letter
-‘s‘ is defined as the logarithmus dualis of the number of
-distinct signals. However this unit can not practically be used to
-express more than 1000 bits. Especially when the bit is used to
-express transmission rate or memory capacities, floating point
-registers would quickly overflow. Therefore we define a second symbol
-for bit, without the suffix, to be the dimensionless unit 1.
-
-The baud (Bd) is the number of distict signals transmitted per second,
-it is not the same as bits per second since one distinct signal
-usually carries more than one bit of information.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Units used in Information Science and Technology
bit
amount of information
bits
bit_s
BIT_S
no
•
ld(1 1)
bit
amount of information
bit
bit
BIT
yes
1
1
byte
amount of information
B
By
BY
yes
8
bit
baud
signal transmission rate
Bd
Bd
BD
yes
1
/s
§49 prefixes
-
- ■1
-The prefix symbols based on powers of two for use in information
-technology as proposed by the IEEE are defined in .
- ■2
-The meaning of the columns is declared in §49.2.
- ■3
-Only the columns titled “c/s,” “c/i,” and
-“value,” are normative. Full name and print symbol are out
-of scope of The Unified Code for Units of Measure.
-
-This table reflects proposed prefixes which are not yet standardized.
-[Bruce Barrow, A Lesson in Megabytes. IEEE Standards
-Bearer, January 1997]
-
name
print
c/s
c/i
value
The special prefix symbols for powers of 2
kibi
Ki
Ki
KIB
1024
mebi
Mi
Mi
MIB
1048576
gibi
Gi
Gi
GIB
1073741824
tebi
Ti
Ti
TIB
1099511627776
Examples for some Non-Units.
§50 Non-units
-
- ■1
-Symbols commonly used as units that are no real units of measurements
-are not defined by The Unified Code for Units of Measure.
- ■2
-Users are free to use curly braces expressions (§12) if they think it is important to use symbols
-rather than the default unit 1.
- ■3
-Curly braces expressions are equivalent to the unit 1. The
-details of the annotations in the curly braces have no defined meaning
-in The Unified Code for Units of Measure.
- ■4 gives some example for those non-units but is not
-normative.
-
name
kind of quantity
print
c/s
c/i
M
definition value
definition unit
Examples for Non-Units
particles total count
number
tot.
{tot}
{TOT}
no
1
tablets
number
tbl.
{tbl}
{TBL}
no
1
red blood cell count
number
R.B.C.
{rbc}
{RBC}
no
1
gram meter per heartbeat
proportional to ventricular stroke work
g· m/H.B.
g.m/{H.B.}
G.M/{H.B.}
no
g.m
gram-force meter per heartbeat
ventricular stroke work
gf· m/H.B.
gf.m/{H.B.}
GF.M/{H.B.}
no
gf.m
kilogram of wet tissue
mass
kg(wet tissue)
kg{wet'tis}
KG{wet'tis}
no
kg
milligram of creatinine
mass
mg(creat.)
mg{creat}
MG{creat}
no
mg
- Although customarily cardiac stroke work is notated as "g.m" this is not a true unit of work. Instead one should use gram-force meter.
-
Summary of Conflicts
The Unified Code for Units of Measure is designed and maintained so that severe name conflicts do
-not occur. However, avoiding all conflicts is possible only at the
-cost of defining very unusual symbols for those units. As the shows, all current conflicts are of type IVa between
-metric and nonmetric units. This means that there is only a conflict
-if the metric predicate is violated so that non-metric units are used
-with a prefix.
-
- [Schadow G, McDonald CJ et al: Units of Measure in
-Clinical Information Systems. JAMIA 6(2); Mar/Apr
-1999. p. 151-162.]
-
Summary of name conflicts
Gb
G-b
Type IVa (metric-nonmetric)
Pa
P-a
Type IVa (metric-nonmetric)
ph
p-h
Type IVa (metric-nonmetric)
cd
c-d
Type IVa (metric-nonmetric)
CD
C-D
Type IVa (metric-nonmetric)
Alphabetic IndexAlphabetic Index By Name
(retired), homeopathic potency of centesimal series – homeopathic potency (retired) – [hp'_C]: §44 (retired), homeopathic potency of decimal series – homeopathic potency (retired) – [hp'_X]: §44 (retired), homeopathic potency of millesimal series – homeopathic potency (retired) – [hp'_M]: §44 (retired), homeopathic potency of quintamillesimal series – homeopathic potency (retired) – [hp'_Q]: §44 10 nanovolt, bel – electric potential level – B[10.nV]: §46 15 °C, calorie at – energy – cal_[15]: §43 20 °C, calorie at – energy – cal_[20]: §43 39 °F, British thermal unit at – energy – [Btu_39]: §43 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 59 °F, British thermal unit at – energy – [Btu_59]: §43 60 °F, British thermal unit at – energy – [Btu_60]: §43 APL unit – biologic activity of anticardiolipin IgA – [APL'U]: §45 Ambrosia artemisiifolia, allergen unit for – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 Bethesda unit – biologic activity of factor VIII inhibitor – [beth'U]: §45 Biot – electric current – Bi: §33 Bodansky unit – biologic activity of phosphatase – [bdsk'U]: §45 Boltzmann constant – (unclassified) – [k]: §32 British hundredweight – mass – [lcwt_av]: §39 British stone – mass – [stone_av]: §39 British thermal unit at 39 °F – energy – [Btu_39]: §43 British thermal unit at 59 °F – energy – [Btu_59]: §43 British thermal unit at 60 °F – energy – [Btu_60]: §43 British thermal unit – energy – [Btu]: §43 British thermal unit, international table – energy – [Btu_IT]: §43 British thermal unit, mean – energy – [Btu_m]: §43 British thermal unit, thermochemical – energy – [Btu_th]: §43 British ton – mass – [lton_av]: §39 Calories, nutrition label – energy – [Cal]: §43 Celsius, degree – temperature – Cel: §30 Charrière – gauge of catheters – [Ch]: §44 Curie – radioactivity – Ci: §33 D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 Denier – linear mass density (of textile thread) – [den]: §43 Didot's pica – length – [cicero]: §42 Didot's point – length – [didot]: §42 Dye unit – biologic activity of amylase – [dye'U]: §45 ELISA unit – arbitrary ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 Engineer's chain – length – [rch_us]: §35 Fahrenheit, degree – temperature – [degF]: §43 French foot – length – [pied]: §42 French inch – length – [pouce]: §42 French line – length – [ligne]: §42 GPL unit – biologic activity of anticardiolipin IgG – [GPL'U]: §45 Gal – acceleration – Gal: §33 Gauss – magnetic flux density – G: §33 Gilbert – magnetic tension – Gb: §33 Gregorian month, mean – time – mo_g: §31 Gregorian year, mean – time – a_g: §31 Gunter's chain – length – [ch_br]: §36 Gunter's chain – length – [ch_us]: §35 Gunter's chain, link for – length – [lk_br]: §36 Gunter's chain, link for – length – [lk_us]: §35 Hounsfield unit – x-ray attenuation – [hnsf'U]: §44 Julian month, mean – time – mo_j: §31 Julian year, mean – time – a_j: §31 Kayser – lineic number – Ky: §33 King-Armstrong unit – biologic activity of phosphatase – [ka'U]: §45 Kunkel unit – arbitrary biologic activity – [knk'U]: §45 Lagan unit, Mac – arbitrary biologic activity – [mclg'U]: §45 Lambert – brightness – Lmb: §33 Limit of flocculation – procedure defined amount of an antigen substance – [Lf]: §45 MPL unit – biologic activity of anticardiolipin IgM – [MPL'U]: §45 Mac Lagan unit – arbitrary biologic activity – [mclg'U]: §45 Maxwell – flux of magnetic induction – Mx: §33 Newtonian constant of gravitation – (unclassified) – [G]: §32 Oersted – magnetic field intensity – Oe: §33 Pharmacopeia unit, United States – arbitrary – [USP'U]: §45 Planck constant – action – [h]: §32 Poise – dynamic viscosity – P: §33 Printer's pica – length – [pca_pr]: §42 Printer's point – length – [pnt_pr]: §42 Queen Anne's wine gallon – fluid volume – [gal_us]: §37 Ramden's chain – length – [rch_us]: §35 Ramden's chain, link for – length – [rlk_us]: §35 Rankine, degree – temperature – [degR]: §43 Roentgen – ion dose – R: §33 Réaumur, degree – temperature – [degRe]: §43 Smoot – length – [smoot]: §47 Somogyi unit – biologic activity of amylase – [smgy'U]: §45 States Pharmacopeia unit, United – arbitrary – [USP'U]: §45 Stokes – kinematic viscosity – St: §33 Surveyor's chain – length – [ch_us]: §35 Svedberg unit – sedimentation coefficient – [S]: §45 Todd unit – biologic activity antistreptolysin O – [todd'U]: §45 U.S. hundredweight – mass – [scwt_av]: §39 U.S. ton – mass – [ston_av]: §39 Unit – catalytic activity – U: §45 United States Pharmacopeia unit – arbitrary – [USP'U]: §45 Wood unit – fluid resistance – [wood'U]: §44 Xa unit, anti factor – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 absorbed dose, radiation – energy dose – RAD: §33 acceleration of free fall, standard – acceleration – [g]: §32 acre – area – [acr_br]: §36 acre – area – [acr_us]: §35 allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 allergen unit – procedure defined amount of an allergen using some reference standard – [AU]: §45 allergen unit, bioequivalent – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]: §45 alloys, carat of gold – mass fraction – [car_Au]: §47 ampère – electric current – A: §30 anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 arbitary unit – arbitrary – [arb'U]: §45 arbitrary powers, the number ten for – number – 10*: §29 arbitrary powers, the number ten for – number – 10^: §29 are – area – ar: §31 artemisiifolia, allergen unit for Ambrosia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 astronomic unit – length – AU: §31 atmosphere, standard – pressure – atm: §32 atmosphere, technical – pressure – att: §47 atomic mass unit, unified – mass – u: §31 atto – prefix – a: §27 bar – pressure – bar: §31 barn – action area – b: §47 barrel – fluid volume – [bbl_us]: §37 baud – signal transmission rate – Bd: §48 becquerel – radioactivity – Bq: §30 bel 10 nanovolt – electric potential level – B[10.nV]: §46 bel kilowatt – power level – B[kW]: §46 bel microvolt – electric potential level – B[uV]: §46 bel millivolt – electric potential level – B[mV]: §46 bel sound pressure – pressure level – B[SPL]: §46 bel volt – electric potential level – B[V]: §46 bel watt – power level – B[W]: §46 bel – level – B: §46 billion, parts per – fraction – [ppb]: §29 bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]: §45 bit – amount of information – bit: §48 bit – amount of information – bit_s: §48 blood cell count, red – number – {rbc}: §50 board foot – volume – [bf_i]: §34 bushel – dry volume – [bu_us]: §37 bushel – volume – [bu_br]: §38 byte – amount of information – By: §48 calorie at 15 °C – energy – cal_[15]: §43 calorie at 20 °C – energy – cal_[20]: §43 calorie – energy – cal: §43 calorie, international table – energy – cal_IT: §43 calorie, mean – energy – cal_m: §43 calorie, thermochemical – energy – cal_th: §43 candela – luminous intensity – cd: §28 carat of gold alloys – mass fraction – [car_Au]: §47 carat, metric – mass – [car_m]: §47 cell count, red blood – number – {rbc}: §50 cell culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 centesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_C]: §44 centesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_C]: §44 centesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_C]: §44 centi – prefix – c: §27 chain, Engineer's – length – [rch_us]: §35 chain, Gunter's – length – [ch_br]: §36 chain, Gunter's – length – [ch_us]: §35 chain, Ramden's – length – [rch_us]: §35 chain, Surveyor's – length – [ch_us]: §35 chain, link for Gunter's – length – [lk_br]: §36 chain, link for Gunter's – length – [lk_us]: §35 chain, link for Ramden's – length – [rlk_us]: §35 charge, elementary – electric charge – [e]: §32 cicero – length – [cicero]: §42 circle – plane angle – circ: §47 circular mil – area – [cml_i]: §34 colony forming units – amount of a proliferating organism – [CFU]: §45 column, inch of mercury – pressure – [in_i'Hg]: §44 column, inch of water – pressure – [in_i'H2O]: §44 column, meter of mercury – pressure – m[Hg]: §44 column, meter of water – pressure – m[H2O]: §44 constant of gravitation, Newtonian – (unclassified) – [G]: §32 constant, Boltzmann – (unclassified) – [k]: §32 constant, Planck – action – [h]: §32 cord – fluid volume – [crd_us]: §37 cord – volume – [cr_i]: §34 coulomb – electric charge – C: §28 count, particles total – number – {tot}: §50 count, red blood cell – number – {rbc}: §50 creatinine, milligram of – mass – mg{creat}: §50 cubic foot – volume – [cft_i]: §34 cubic inch – volume – [cin_i]: §34 cubic yard – volume – [cyd_i]: §34 culture infectious dose, 50% cell – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 culture infectious dose, 50% tissue – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 cup – volume – [cup_us]: §37 cup, metric – volume – [cup_m]: §37 day – time – d: §31 deci – prefix – d: §27 decimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_X]: §44 decimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_X]: §44 decimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_X]: §44 degree Celsius – temperature – Cel: §30 degree Fahrenheit – temperature – [degF]: §43 degree Rankine – temperature – [degR]: §43 degree Réaumur – temperature – [degRe]: §43 degree – plane angle – deg: §31 deka – prefix – da: §27 didot – length – [didot]: §42 diopter – refraction of a lens – [diop]: §44 diopter, prism – refraction of a prism – [p'diop]: §44 dose, 50% cell culture infectious – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 dose, 50% embryo infectious – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 dose, 50% tissue culture infectious – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 dose, radiation absorbed – energy dose – RAD: §33 drachm – mass – [dr_ap]: §41 dram – mass – [dr_ap]: §41 dram – mass – [dr_av]: §39 dram, fluid – fluid volume – [fdr_us]: §37 dram, fluid – volume – [fdr_br]: §38 drop – volume – [drp]: §44 dry pint – dry volume – [dpt_us]: §37 dry quart – dry volume – [dqt_us]: §37 dyne – force – dyn: §33 electron mass – mass – [m_e]: §32 electronvolt – energy – eV: §31 elementary charge – electric charge – [e]: §32 embryo infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 equivalent man, radiation – dose equivalent – REM: §33 equivalent unit, fibrinogen – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 equivalent, metabolic – metabolic cost of physical activity – [MET]: §44 equivalents – amount of substance – eq: §45 erg – energy – erg: §33 exa – prefix – E: §27 factor Xa unit, anti – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 fall, standard acceleration of free – acceleration – [g]: §32 farad – electric capacitance – F: §30 fathom – depth of water – [fth_i]: §34 fathom – length – [fth_br]: §36 fathom – length – [fth_us]: §35 femto – prefix – f: §27 fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 field, high power – view area in microscope – [HPF]: §45 field, low power – view area in microscope – [LPF]: §45 flocculation, Limit of – procedure defined amount of an antigen substance – [Lf]: §45 fluid dram – fluid volume – [fdr_us]: §37 fluid dram – volume – [fdr_br]: §38 fluid ounce – fluid volume – [foz_us]: §37 fluid ounce – volume – [foz_br]: §38 fluid ounce, metric – fluid volume – [foz_m]: §37 focus forming units – amount of an infectious agent – [FFU]: §45 foot – length – [ft_br]: §36 foot – length – [ft_i]: §34 foot – length – [ft_us]: §35 foot, French – length – [pied]: §42 foot, board – volume – [bf_i]: §34 foot, cubic – volume – [cft_i]: §34 foot, square – area – [sft_i]: §34 force, pound – force – [lbf_av]: §32 forming units, colony – amount of a proliferating organism – [CFU]: §45 forming units, focus – amount of an infectious agent – [FFU]: §45 forming units, plaque – amount of an infectious agent – [PFU]: §45 free fall, standard acceleration of – acceleration – [g]: §32 french – gauge of catheters – [Ch]: §44 furlong – length – [fur_us]: §35 gallon – volume – [gal_br]: §38 gallon, Queen Anne's wine – fluid volume – [gal_us]: §37 gallon, historical winchester – dry volume – [gal_wi]: §37 gibi – prefix – Gi: §49 giga – prefix – G: §27 gill – fluid volume – [gil_us]: §37 gill – volume – [gil_br]: §38 gold alloys, carat of – mass fraction – [car_Au]: §47 gon – plane angle – gon: §31 grade – plane angle – gon: §31 grain – mass – [gr]: §39 gram meter per heartbeat – proportional to ventricular stroke work – g.m/{H.B.}: §50 gram percent – mass concentration – g%: §45 gram – mass – g: §28 gram-force meter per heartbeat – ventricular stroke work – gf.m/{H.B.}: §50 gram-force – force – gf: §32 gravitation, Newtonian constant of – (unclassified) – [G]: §32 gray – energy dose – Gy: §30 hahnemannian series, homeopathic potency of centesimal – homeopathic potency (Hahnemann) – [hp_C]: §44 hahnemannian series, homeopathic potency of decimal – homeopathic potency (Hahnemann) – [hp_X]: §44 hahnemannian series, homeopathic potency of millesimal – homeopathic potency (Hahnemann) – [hp_M]: §44 hahnemannian series, homeopathic potency of quintamillesimal – homeopathic potency (Hahnemann) – [hp_Q]: §44 hand – height of horses – [hd_i]: §34 heartbeat, gram meter per – proportional to ventricular stroke work – g.m/{H.B.}: §50 heartbeat, gram-force meter per – ventricular stroke work – gf.m/{H.B.}: §50 hecto – prefix – h: §27 henry – inductance – H: §30 hertz – frequency – Hz: §30 hertz, meter per square seconds per square root of – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 high power field – view area in microscope – [HPF]: §45 historical winchester gallon – dry volume – [gal_wi]: §37 homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_C]: §44 homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov) – [kp_C]: §44 homeopathic potency of centesimal series (retired) – homeopathic potency (retired) – [hp'_C]: §44 homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_X]: §44 homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov) – [kp_X]: §44 homeopathic potency of decimal series (retired) – homeopathic potency (retired) – [hp'_X]: §44 homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_M]: §44 homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov) – [kp_M]: §44 homeopathic potency of millesimal series (retired) – homeopathic potency (retired) – [hp'_M]: §44 homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_Q]: §44 homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov) – [kp_Q]: §44 homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired) – [hp'_Q]: §44 horsepower – power – [HP]: §43 hour – time – h: §31 hunderdweight, long – mass – [lcwt_av]: §39 hundredweight, British – mass – [lcwt_av]: §39 hundredweight, U.S. – mass – [scwt_av]: §39 hundredweight, short – mass – [scwt_av]: §39 inch of mercury column – pressure – [in_i'Hg]: §44 inch of water column – pressure – [in_i'H2O]: §44 inch – length – [in_br]: §36 inch – length – [in_i]: §34 inch – length – [in_us]: §35 inch, French – length – [pouce]: §42 inch, cubic – volume – [cin_i]: §34 inch, pound per sqare – pressure – [psi]: §47 inch, square – area – [sin_i]: §34 index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]: §45 infectious dose, 50% cell culture – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]: §45 infectious dose, 50% embryo – biologic activity (infectivity) of an infectious agent preparation – [EID_50]: §45 infectious dose, 50% tissue culture – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 international table British thermal unit – energy – [Btu_IT]: §43 international table calorie – energy – cal_IT: §43 international unit – arbitrary – [IU]: §45 international unit – arbitrary – [iU]: §45 joule – energy – J: §30 katal – catalytic activity – kat: §45 kelvin – temperature – K: §28 kibi – prefix – Ki: §49 kilo – prefix – k: §27 kilogram of wet tissue – mass – kg{wet'tis}: §50 kilowatt, bel – power level – B[kW]: §46 knot – velocity – [kn_br]: §36 knot – velocity – [kn_i]: §34 korsakovian series, homeopathic potency of centesimal – homeopathic potency (Korsakov) – [kp_C]: §44
korsakovian series, homeopathic potency of decimal – homeopathic potency (Korsakov) – [kp_X]: §44 korsakovian series, homeopathic potency of millesimal – homeopathic potency (Korsakov) – [kp_M]: §44 korsakovian series, homeopathic potency of quintamillesimal – homeopathic potency (Korsakov) – [kp_Q]: §44 label Calories, nutrition – energy – [Cal]: §43 light, velocity of – velocity – [c]: §32 light-year – length – [ly]: §32 ligne – length – [ligne]: §42 line – length – [lne]: §42 line, French – length – [ligne]: §42 link for Gunter's chain – length – [lk_br]: §36 link for Gunter's chain – length – [lk_us]: §35 link for Ramden's chain – length – [rlk_us]: §35 liter – volume – L: §31 liter – volume – l: §31 long hunderdweight – mass – [lcwt_av]: §39 long ton – mass – [lton_av]: §39 low power field – view area in microscope – [LPF]: §45 lumen – luminous flux – lm: §30 lux – illuminance – lx: §30 man, radiation equivalent – dose equivalent – REM: §33 mass unit, unified atomic – mass – u: §31 mass, electron – mass – [m_e]: §32 mass, proton – mass – [m_p]: §32 mean British thermal unit – energy – [Btu_m]: §43 mean Gregorian month – time – mo_g: §31 mean Gregorian year – time – a_g: §31 mean Julian month – time – mo_j: §31 mean Julian year – time – a_j: §31 mean calorie – energy – cal_m: §43 mebi – prefix – Mi: §49 mega – prefix – M: §27 mercury column, inch of – pressure – [in_i'Hg]: §44 mercury column, meter of – pressure – m[Hg]: §44 mesh – lineic number – [mesh_i]: §44 metabolic equivalent – metabolic cost of physical activity – [MET]: §44 meter of mercury column – pressure – m[Hg]: §44 meter of water column – pressure – m[H2O]: §44 meter per heartbeat, gram – proportional to ventricular stroke work – g.m/{H.B.}: §50 meter per heartbeat, gram-force – ventricular stroke work – gf.m/{H.B.}: §50 meter per square seconds per square root of hertz – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 meter – length – m: §28 metric carat – mass – [car_m]: §47 metric cup – volume – [cup_m]: §37 metric fluid ounce – fluid volume – [foz_m]: §37 metric ounce – mass – [oz_m]: §41 metric tablespoon – volume – [tbs_m]: §37 metric teaspoon – volume – [tsp_m]: §37 mho – electric conductance – mho: §47 micro – prefix – u: §27 microvolt, bel – electric potential level – B[uV]: §46 mil – length – [mil_i]: §34 mil – length – [mil_us]: §35 mil, circular – area – [cml_i]: §34 mile – length – [mi_br]: §36 mile – length – [mi_i]: §34 mile – length – [mi_us]: §35 mile, nautical – length – [nmi_br]: §36 mile, nautical – length – [nmi_i]: §34 mile, square – area – [smi_us]: §35 millesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_M]: §44 millesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_M]: §44 millesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_M]: §44 milli – prefix – m: §27 milligram of creatinine – mass – mg{creat}: §50 million, parts per – fraction – [ppm]: §29 millivolt, bel – electric potential level – B[mV]: §46 minim – fluid volume – [min_us]: §37 minim – volume – [min_br]: §38 minute – plane angle – ': §31 minute – time – min: §31 mole – amount of substance – mol: §30 month – time – mo: §31 month, mean Gregorian – time – mo_g: §31 month, mean Julian – time – mo_j: §31 month, synodal – time – mo_s: §31 nano – prefix – n: §27 nanovolt, bel 10 – electric potential level – B[10.nV]: §46 nautical mile – length – [nmi_br]: §36 nautical mile – length – [nmi_i]: §34 neper – level – Np: §46 newton – force – N: §30 nitrogen unit, protein – procedure defined amount of a protein substance – [PNU]: §45 number pi, the – number – [pi]: §29 number ten for arbitrary powers, the – number – 10*: §29 number ten for arbitrary powers, the – number – 10^: §29 nutrition label Calories – energy – [Cal]: §43 ohm – electric resistance – Ohm: §30 osmole – amount of substance (dissolved particles) – osm: §45 ounce – mass – [oz_ap]: §41 ounce – mass – [oz_av]: §39 ounce – mass – [oz_tr]: §40 ounce, fluid – fluid volume – [foz_us]: §37 ounce, fluid – volume – [foz_br]: §38 ounce, metric fluid – fluid volume – [foz_m]: §37 ounce, metric – mass – [oz_m]: §41 pH – acidity – [pH]: §45 pace – length – [pc_br]: §36 parsec – length – pc: §31 particles total count – number – {tot}: §50 parts per billion – fraction – [ppb]: §29 parts per million – fraction – [ppm]: §29 parts per thousand – fraction – [ppth]: §29 parts per trillion – fraction – [pptr]: §29 pascal – pressure – Pa: §30 peck – dry volume – [pk_us]: §37 peck – volume – [pk_br]: §38 pennyweight – mass – [pwt_tr]: §40 per billion, parts – fraction – [ppb]: §29 per heartbeat, gram meter – proportional to ventricular stroke work – g.m/{H.B.}: §50 per heartbeat, gram-force meter – ventricular stroke work – gf.m/{H.B.}: §50 per million, parts – fraction – [ppm]: §29 per sqare inch, pound – pressure – [psi]: §47 per square root of hertz, meter per square seconds – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per square seconds per square root of hertz, meter – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 per thousand, parts – fraction – [ppth]: §29 per trillion, parts – fraction – [pptr]: §29 percent of slope – slope – %[slope]: §44 percent – fraction – %: §29 percent, gram – mass concentration – g%: §45 peripheral vascular resistance unit – fluid resistance – [PRU]: §44 permeability of vacuum – magnetic permeability – [mu_0]: §32 permittivity of vacuum – electric permittivity – [eps_0]: §32 peta – prefix – P: §27 phot – illuminance – ph: §33 pi, the number – number – [pi]: §29 pica – length – [pca]: §42 pica, Didot's – length – [cicero]: §42 pica, Printer's – length – [pca_pr]: §42 pico – prefix – p: §27 pied – length – [pied]: §42 pint – fluid volume – [pt_us]: §37 pint – volume – [pt_br]: §38 pint, dry – dry volume – [dpt_us]: §37 plaque forming units – amount of an infectious agent – [PFU]: §45 point – length – [pnt]: §42 point, Didot's – length – [didot]: §42 point, Printer's – length – [pnt_pr]: §42 potency of centesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_C]: §44 potency of centesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_C]: §44 potency of centesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_C]: §44 potency of decimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_X]: §44 potency of decimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_X]: §44 potency of decimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_X]: §44 potency of millesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_M]: §44 potency of millesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_M]: §44 potency of millesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_M]: §44 potency of quintamillesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_Q]: §44 potency of quintamillesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_Q]: §44 potency of quintamillesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_Q]: §44 pouce – length – [pouce]: §42 pound force – force – [lbf_av]: §32 pound per sqare inch – pressure – [psi]: §47 pound – mass – [lb_ap]: §41 pound – mass – [lb_av]: §39 pound – mass – [lb_tr]: §40 power field, high – view area in microscope – [HPF]: §45 power field, low – view area in microscope – [LPF]: §45 powers, the number ten for arbitrary – number – 10*: §29 powers, the number ten for arbitrary – number – 10^: §29 pressure, bel sound – pressure level – B[SPL]: §46 prism diopter – refraction of a prism – [p'diop]: §44 protein nitrogen unit – procedure defined amount of a protein substance – [PNU]: §45 proton mass – mass – [m_p]: §32 quart – fluid volume – [qt_us]: §37 quart – volume – [qt_br]: §38 quart, dry – dry volume – [dqt_us]: §37 quintamillesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_Q]: §44 quintamillesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_Q]: §44 quintamillesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_Q]: §44 radian – plane angle – rad: §28 radiation absorbed dose – energy dose – RAD: §33 radiation equivalent man – dose equivalent – REM: §33 reactivity, index of – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]: §45 red blood cell count – number – {rbc}: §50 resistance unit, peripheral vascular – fluid resistance – [PRU]: §44 rod – length – [rd_br]: §36 rod – length – [rd_us]: §35 rod, square – area – [srd_us]: §35 root of hertz, meter per square seconds per square – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 scruple – mass – [sc_ap]: §41 second – plane angle – '': §31 second – time – s: §28 seconds per square root of hertz, meter per square – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 section – area – [sct]: §35 series (retired), homeopathic potency of centesimal – homeopathic potency (retired) – [hp'_C]: §44 series (retired), homeopathic potency of decimal – homeopathic potency (retired) – [hp'_X]: §44 series (retired), homeopathic potency of millesimal – homeopathic potency (retired) – [hp'_M]: §44 series (retired), homeopathic potency of quintamillesimal – homeopathic potency (retired) – [hp'_Q]: §44 series, homeopathic potency of centesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_C]: §44 series, homeopathic potency of centesimal korsakovian – homeopathic potency (Korsakov) – [kp_C]: §44 series, homeopathic potency of decimal hahnemannian – homeopathic potency (Hahnemann) – [hp_X]: §44 series, homeopathic potency of decimal korsakovian – homeopathic potency (Korsakov) – [kp_X]: §44 series, homeopathic potency of millesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_M]: §44 series, homeopathic potency of millesimal korsakovian – homeopathic potency (Korsakov) – [kp_M]: §44 series, homeopathic potency of quintamillesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_Q]: §44 series, homeopathic potency of quintamillesimal korsakovian – homeopathic potency (Korsakov) – [kp_Q]: §44 short hundredweight – mass – [scwt_av]: §39 short ton – mass – [ston_av]: §39 siemens – electric conductance – S: §30 sievert – dose equivalent – Sv: §30 slope, percent of – slope – %[slope]: §44 sound pressure, bel – pressure level – B[SPL]: §46 spere – solid angle – sph: §47 sqare inch, pound per – pressure – [psi]: §47 square foot – area – [sft_i]: §34 square inch – area – [sin_i]: §34 square mile – area – [smi_us]: §35 square rod – area – [srd_us]: §35 square root of hertz, meter per square seconds per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square seconds per square root of hertz, meter per – amplitude spectral density – [m/s2/Hz^(1/2)]: §47 square yard – area – [syd_i]: §34 standard acceleration of free fall – acceleration – [g]: §32 standard atmosphere – pressure – atm: §32 steradian – solid angle – sr: §30 stere – volume – st: §47 stilb – lum. intensity density – sb: §33 stone – mass – [stone_av]: §39 stone, British – mass – [stone_av]: §39 synodal month – time – mo_s: §31 table British thermal unit, international – energy – [Btu_IT]: §43 table calorie, international – energy – cal_IT: §43 tablespoon – volume – [tbs_us]: §37 tablespoon, metric – volume – [tbs_m]: §37 tablets – number – {tbl}: §50 teaspoon – volume – [tsp_us]: §37 teaspoon, metric – volume – [tsp_m]: §37 tebi – prefix – Ti: §49 technical atmosphere – pressure – att: §47 ten for arbitrary powers, the number – number – 10*: §29 ten for arbitrary powers, the number – number – 10^: §29 tera – prefix – T: §27 tesla – magnetic flux density – T: §30 tex – linear mass density (of textile thread) – tex: §43 thermal unit at 39 °F, British – energy – [Btu_39]: §43 thermal unit at 59 °F, British – energy – [Btu_59]: §43 thermal unit at 60 °F, British – energy – [Btu_60]: §43 thermal unit, British – energy – [Btu]: §43 thermal unit, international table British – energy – [Btu_IT]: §43 thermal unit, mean British – energy – [Btu_m]: §43 thermal unit, thermochemical British – energy – [Btu_th]: §43 thermochemical British thermal unit – energy – [Btu_th]: §43 thermochemical calorie – energy – cal_th: §43 thousand, parts per – fraction – [ppth]: §29 tissue culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]: §45 tissue, kilogram of wet – mass – kg{wet'tis}: §50 ton, British – mass – [lton_av]: §39 ton, U.S. – mass – [ston_av]: §39 ton, long – mass – [lton_av]: §39 ton, short – mass – [ston_av]: §39 tonne – mass – t: §31 total count, particles – number – {tot}: §50 township – area – [twp]: §35 trillion, parts per – fraction – [pptr]: §29 tropical year – time – a_t: §31 tuberculin unit – biologic activity of tuberculin – [tb'U]: §45 unified atomic mass unit – mass – u: §31 unit at 39 °F, British thermal – energy – [Btu_39]: §43 unit at 59 °F, British thermal – energy – [Btu_59]: §43 unit at 60 °F, British thermal – energy – [Btu_60]: §43 unit for Ambrosia artemisiifolia, allergen – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]: §45 unit, APL – biologic activity of anticardiolipin IgA – [APL'U]: §45 unit, Bethesda – biologic activity of factor VIII inhibitor – [beth'U]: §45 unit, Bodansky – biologic activity of phosphatase – [bdsk'U]: §45 unit, British thermal – energy – [Btu]: §43 unit, D-antigen – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]: §45 unit, Dye – biologic activity of amylase – [dye'U]: §45 unit, ELISA – arbitrary ELISA unit – [ELU]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit, GPL – biologic activity of anticardiolipin IgG – [GPL'U]: §45 unit, Hounsfield – x-ray attenuation – [hnsf'U]: §44 unit, King-Armstrong – biologic activity of phosphatase – [ka'U]: §45 unit, Kunkel – arbitrary biologic activity – [knk'U]: §45 unit, MPL – biologic activity of anticardiolipin IgM – [MPL'U]: §45 unit, Mac Lagan – arbitrary biologic activity – [mclg'U]: §45 unit, Somogyi – biologic activity of amylase – [smgy'U]: §45 unit, Svedberg – sedimentation coefficient – [S]: §45 unit, Todd – biologic activity antistreptolysin O – [todd'U]: §45 unit, United States Pharmacopeia – arbitrary – [USP'U]: §45 unit, Wood – fluid resistance – [wood'U]: §44 unit, allergen – procedure defined amount of an allergen using some reference standard – [AU]: §45 unit, anti factor Xa – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]: §45 unit, arbitary – arbitrary – [arb'U]: §45 unit, astronomic – length – AU: §31 unit, bioequivalent allergen – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]: §45 unit, fibrinogen equivalent – amount of fibrinogen broken down into the measured d-dimers – [FEU]: §45 unit, international table British thermal – energy – [Btu_IT]: §43 unit, international – arbitrary – [IU]: §45 unit, international – arbitrary – [iU]: §45 unit, mean British thermal – energy – [Btu_m]: §43 unit, peripheral vascular resistance – fluid resistance – [PRU]: §44 unit, protein nitrogen – procedure defined amount of a protein substance – [PNU]: §45 unit, thermochemical British thermal – energy – [Btu_th]: §43 unit, tuberculin – biologic activity of tuberculin – [tb'U]: §45 unit, unified atomic mass – mass – u: §31 units, colony forming – amount of a proliferating organism – [CFU]: §45 units, focus forming – amount of an infectious agent – [FFU]: §45 units, plaque forming – amount of an infectious agent – [PFU]: §45 vacuum, permeability of – magnetic permeability – [mu_0]: §32 vacuum, permittivity of – electric permittivity – [eps_0]: §32 vascular resistance unit, peripheral – fluid resistance – [PRU]: §44 velocity of light – velocity – [c]: §32 volt – electric potential – V: §30 volt, bel – electric potential level – B[V]: §46 water column, inch of – pressure – [in_i'H2O]: §44 water column, meter of – pressure – m[H2O]: §44 watt – power – W: §30 watt, bel – power level – B[W]: §46 weber – magnetic flux – Wb: §30 week – time – wk: §31 wet tissue, kilogram of – mass – kg{wet'tis}: §50 winchester gallon, historical – dry volume – [gal_wi]: §37 wine gallon, Queen Anne's – fluid volume – [gal_us]: §37 yard – length – [yd_br]: §36 yard – length – [yd_i]: §34 yard – length – [yd_us]: §35 yard, cubic – volume – [cyd_i]: §34 yard, square – area – [syd_i]: §34 year – time – a: §31 year, mean Gregorian – time – a_g: §31 year, mean Julian – time – a_j: §31 year, tropical – time – a_t: §31 yocto – prefix – y: §27 yotta – prefix – Y: §27 zepto – prefix – z: §27 zetta – prefix – Z: §27 Ångström – length – Ao: §47
Alphabetic Index By Symbol
% – percent – fraction: §29 %[slope] – percent of slope – slope: §44 ' – minute – plane angle: §31 '' – second – plane angle: §31 10* – the number ten for arbitrary powers – number: §29 10^ – the number ten for arbitrary powers – number: §29 A – ampère – electric current: §30 AU – astronomic unit – length: §31 Ao – Ångström – length: §47 B – bel – level: §46 B[10.nV] – bel 10 nanovolt – electric potential level: §46 B[SPL] – bel sound pressure – pressure level: §46 B[V] – bel volt – electric potential level: §46 B[W] – bel watt – power level: §46 B[kW] – bel kilowatt – power level: §46 B[mV] – bel millivolt – electric potential level: §46 B[uV] – bel microvolt – electric potential level: §46 Bd – baud – signal transmission rate: §48 Bi – Biot – electric current: §33 Bq – becquerel – radioactivity: §30 By – byte – amount of information: §48 C – coulomb – electric charge: §28 Cel – degree Celsius – temperature: §30 Ci – Curie – radioactivity: §33 E – exa – prefix : §27 F – farad – electric capacitance: §30 G – Gauss – magnetic flux density: §33 G – giga – prefix : §27 Gal – Gal – acceleration: §33 Gb – Gilbert – magnetic tension: §33 Gi – gibi – prefix : §49 Gy – gray – energy dose: §30 H – henry – inductance: §30 Hz – hertz – frequency: §30 J – joule – energy: §30 K – kelvin – temperature: §28 Ki – kibi – prefix : §49 Ky – Kayser – lineic number: §33 L – liter – volume: §31 Lmb – Lambert – brightness: §33 M – mega – prefix : §27 Mi – mebi – prefix : §49 Mx – Maxwell – flux of magnetic induction: §33 N – newton – force: §30 Np – neper – level: §46 Oe – Oersted – magnetic field intensity: §33 Ohm – ohm – electric resistance: §30 P – Poise – dynamic viscosity: §33 P – peta – prefix : §27 Pa – pascal – pressure: §30 R – Roentgen – ion dose: §33 RAD – radiation absorbed dose – energy dose: §33 REM – radiation equivalent man – dose equivalent: §33 S – siemens – electric conductance: §30 St – Stokes – kinematic viscosity: §33 Sv – sievert – dose equivalent: §30 T – tera – prefix : §27 T – tesla – magnetic flux density: §30 Ti – tebi – prefix : §49 U – Unit – catalytic activity: §45 V – volt – electric potential: §30 W – watt – power: §30 Wb – weber – magnetic flux: §30 Y – yotta – prefix : §27 Z – zetta – prefix : §27 [APL'U] – APL unit – biologic activity of anticardiolipin IgA: §45 [AU] – allergen unit – procedure defined amount of an allergen using some reference standard: §45 [Amb'a'1'U] – allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed.: §45 [BAU] – bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters: §45 [Btu] – British thermal unit – energy: §43 [Btu_39] – British thermal unit at 39 °F – energy: §43 [Btu_59] – British thermal unit at 59 °F – energy: §43 [Btu_60] – British thermal unit at 60 °F – energy: §43 [Btu_IT] – international table British thermal unit – energy: §43 [Btu_m] – mean British thermal unit – energy: §43 [Btu_th] – thermochemical British thermal unit – energy: §43 [CCID_50] – 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [CFU] – colony forming units – amount of a proliferating organism: §45 [Cal] – nutrition label Calories – energy: §43 [Ch] – Charrière french – gauge of catheters: §44 [D'ag'U] – D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance: §45 [EID_50] – 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [ELU] – ELISA unit – arbitrary ELISA unit: §45 [EU] – Ehrlich unit – Ehrlich unit: §45 [FEU] – fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers: §45 [FFU] – focus forming units – amount of an infectious agent: §45 [GPL'U] – GPL unit – biologic activity of anticardiolipin IgG: §45 [G] – Newtonian constant of gravitation – (unclassified): §32 [HPF] – high power field – view area in microscope: §45 [HP] – horsepower – power: §43 [IR] – index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.: §45 [IU] – international unit – arbitrary: §45 [LPF] – low power field – view area in microscope: §45 [Lf] – Limit of flocculation – procedure defined amount of an antigen substance: §45 [MET] – metabolic equivalent – metabolic cost of physical activity: §44 [MPL'U] – MPL unit – biologic activity of anticardiolipin IgM: §45 [PFU] – plaque forming units – amount of an infectious agent: §45 [PNU] – protein nitrogen unit – procedure defined amount of a protein substance: §45 [PRU] – peripheral vascular resistance unit – fluid resistance: §44 [S] – Svedberg unit – sedimentation coefficient: §45 [TCID_50] – 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation: §45 [USP'U] – United States Pharmacopeia unit – arbitrary: §45 [acr_br] – acre – area: §36 [acr_us] – acre – area: §35 [anti'Xa'U] – anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin): §45 [arb'U] – arbitary unit – arbitrary: §45 [bbl_us] – barrel – fluid volume: §37 [bdsk'U] – Bodansky unit – biologic activity of phosphatase: §45 [beth'U] – Bethesda unit – biologic activity of factor VIII inhibitor: §45 [bf_i] – board foot – volume: §34 [bu_br] – bushel – volume: §38 [bu_us] – bushel – dry volume: §37 [c] – velocity of light – velocity: §32 [car_Au] – carat of gold alloys – mass fraction: §47 [car_m] – metric carat – mass: §47 [cft_i] – cubic foot – volume: §34 [ch_br] – Gunter's chain – length: §36 [ch_us] – Gunter's chain Surveyor's chain – length: §35 [cicero] – cicero Didot's pica – length: §42 [cin_i] – cubic inch – volume: §34 [cml_i] – circular mil – area: §34 [cr_i] – cord – volume: §34 [crd_us] – cord – fluid volume: §37 [cup_m] – metric cup – volume: §37 [cup_us] – cup – volume: §37 [cyd_i] – cubic yard – volume: §34 [degF] – degree Fahrenheit – temperature: §43 [degR] – degree Rankine – temperature: §43 [degRe] – degree Réaumur – temperature: §43 [den] – Denier – linear mass density (of textile thread): §43 [didot] – didot Didot's point – length: §42 [diop] – diopter – refraction of a lens: §44 [dpt_us] – dry pint – dry volume: §37 [dqt_us] – dry quart – dry volume: §37 [dr_ap] – dram drachm – mass: §41 [dr_av] – dram – mass: §39 [drp] – drop – volume: §44 [dye'U] – Dye unit – biologic activity of amylase: §45 [e] – elementary charge – electric charge: §32 [eps_0] – permittivity of vacuum – electric permittivity: §32 [fdr_br] – fluid dram – volume: §38 [fdr_us] – fluid dram – fluid volume: §37 [foz_br] – fluid ounce – volume: §38 [foz_m] – metric fluid ounce – fluid volume: §37 [foz_us] – fluid ounce – fluid volume: §37 [ft_br] – foot – length: §36 [ft_i] – foot – length: §34 [ft_us] – foot – length: §35 [fth_br] – fathom – length: §36 [fth_i] – fathom – depth of water: §34 [fth_us] – fathom – length: §35 [fur_us] – furlong – length: §35 [g] – standard acceleration of free fall – acceleration: §32 [gal_br] – gallon – volume: §38 [gal_us] – Queen Anne's wine gallon – fluid volume: §37 [gal_wi] – historical winchester gallon – dry volume: §37 [gil_br] – gill – volume: §38 [gil_us] – gill – fluid volume: §37 [gr] – grain – mass: §39 [h] – Planck constant – action: §32 [hd_i] – hand – height of horses: §34 [hnsf'U] – Hounsfield unit – x-ray attenuation: §44 [hp'_C] – homeopathic potency of centesimal series (retired) – homeopathic potency (retired): §44 [hp'_M] – homeopathic potency of millesimal series (retired) – homeopathic potency (retired): §44 [hp'_Q] – homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired): §44 [hp'_X] – homeopathic potency of decimal series (retired) – homeopathic potency (retired): §44 [hp_C] – homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_M] – homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_Q] – homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann): §44 [hp_X] – homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann): §44 [iU] – international unit – arbitrary: §45
[in_br] – inch – length: §36 [in_i'H2O] – inch of water column – pressure: §44 [in_i'Hg] – inch of mercury column – pressure: §44 [in_i] – inch – length: §34 [in_us] – inch – length: §35 [k] – Boltzmann constant – (unclassified): §32 [ka'U] – King-Armstrong unit – biologic activity of phosphatase: §45 [kn_br] – knot – velocity: §36 [kn_i] – knot – velocity: §34 [knk'U] – Kunkel unit – arbitrary biologic activity: §45 [kp_C] – homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_M] – homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_Q] – homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov): §44 [kp_X] – homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov): §44 [lb_ap] – pound – mass: §41 [lb_av] – pound – mass: §39 [lb_tr] – pound – mass: §40 [lbf_av] – pound force – force: §32 [lcwt_av] – long hunderdweight British hundredweight – mass: §39 [ligne] – ligne French line – length: §42 [lk_br] – link for Gunter's chain – length: §36 [lk_us] – link for Gunter's chain – length: §35 [lne] – line – length: §42 [lton_av] – long ton British ton – mass: §39 [ly] – light-year – length: §32 [m/s2/Hz^(1/2)] – meter per square seconds per square root of hertz – amplitude spectral density: §47 [m_e] – electron mass – mass: §32 [m_p] – proton mass – mass: §32 [mclg'U] – Mac Lagan unit – arbitrary biologic activity: §45 [mesh_i] – mesh – lineic number: §44 [mi_br] – mile – length: §36 [mi_i] – mile – length: §34 [mi_us] – mile – length: §35 [mil_i] – mil – length: §34 [mil_us] – mil – length: §35 [min_br] – minim – volume: §38 [min_us] – minim – fluid volume: §37 [mu_0] – permeability of vacuum – magnetic permeability: §32 [nmi_br] – nautical mile – length: §36 [nmi_i] – nautical mile – length: §34 [oz_ap] – ounce – mass: §41 [oz_av] – ounce – mass: §39 [oz_m] – metric ounce – mass: §41 [oz_tr] – ounce – mass: §40 [p'diop] – prism diopter – refraction of a prism: §44 [pH] – pH – acidity: §45 [pc_br] – pace – length: §36 [pca] – pica – length: §42 [pca_pr] – Printer's pica – length: §42 [pi] – the number pi – number: §29 [pied] – pied French foot – length: §42 [pk_br] – peck – volume: §38 [pk_us] – peck – dry volume: §37 [pnt] – point – length: §42 [pnt_pr] – Printer's point – length: §42 [pouce] – pouce French inch – length: §42 [ppb] – parts per billion – fraction: §29 [ppm] – parts per million – fraction: §29 [ppth] – parts per thousand – fraction: §29 [pptr] – parts per trillion – fraction: §29 [psi] – pound per sqare inch – pressure: §47 [pt_br] – pint – volume: §38 [pt_us] – pint – fluid volume: §37 [pwt_tr] – pennyweight – mass: §40 [qt_br] – quart – volume: §38 [qt_us] – quart – fluid volume: §37 [rch_us] – Ramden's chain Engineer's chain – length: §35 [rd_br] – rod – length: §36 [rd_us] – rod – length: §35 [rlk_us] – link for Ramden's chain – length: §35 [sc_ap] – scruple – mass: §41 [sct] – section – area: §35 [scwt_av] – short hundredweight U.S. hundredweight – mass: §39 [sft_i] – square foot – area: §34 [sin_i] – square inch – area: §34 [smgy'U] – Somogyi unit – biologic activity of amylase: §45 [smi_us] – square mile – area: §35 [smoot] – Smoot – length: §47 [srd_us] – square rod – area: §35 [ston_av] – short ton U.S. ton – mass: §39 [stone_av] – stone British stone – mass: §39 [syd_i] – square yard – area: §34 [tb'U] – tuberculin unit – biologic activity of tuberculin: §45 [tbs_m] – metric tablespoon – volume: §37 [tbs_us] – tablespoon – volume: §37 [todd'U] – Todd unit – biologic activity antistreptolysin O: §45 [tsp_m] – metric teaspoon – volume: §37 [tsp_us] – teaspoon – volume: §37 [twp] – township – area: §35 [wood'U] – Wood unit – fluid resistance: §44 [yd_br] – yard – length: §36 [yd_i] – yard – length: §34 [yd_us] – yard – length: §35 a – atto – prefix : §27 a – year – time: §31 a_g – mean Gregorian year – time: §31 a_j – mean Julian year – time: §31 a_t – tropical year – time: §31 ar – are – area: §31 atm – standard atmosphere – pressure: §32 att – technical atmosphere – pressure: §47 b – barn – action area: §47 bar – bar – pressure: §31 bit – bit – amount of information: §48 bit_s – bit – amount of information: §48 c – centi – prefix : §27 cal – calorie – energy: §43 cal_IT – international table calorie – energy: §43 cal_[15] – calorie at 15 °C – energy: §43 cal_[20] – calorie at 20 °C – energy: §43 cal_m – mean calorie – energy: §43 cal_th – thermochemical calorie – energy: §43 cd – candela – luminous intensity: §28 circ – circle – plane angle: §47 d – day – time: §31 d – deci – prefix : §27 da – deka – prefix : §27 deg – degree – plane angle: §31 dyn – dyne – force: §33 eV – electronvolt – energy: §31 eq – equivalents – amount of substance: §45 erg – erg – energy: §33 f – femto – prefix : §27 g – gram – mass: §28 g% – gram percent – mass concentration: §45 g.m/{H.B.} – gram meter per heartbeat – proportional to ventricular stroke work: §50 gf – gram-force – force: §32 gf.m/{H.B.} – gram-force meter per heartbeat – ventricular stroke work: §50 gon – gon grade – plane angle: §31 h – hecto – prefix : §27 h – hour – time: §31 k – kilo – prefix : §27 kat – katal – catalytic activity: §45 kg{wet'tis} – kilogram of wet tissue – mass: §50 l – liter – volume: §31 lm – lumen – luminous flux: §30 lx – lux – illuminance: §30 m – meter – length: §28 m – milli – prefix : §27 m[H2O] – meter of water column – pressure: §44 m[Hg] – meter of mercury column – pressure: §44 mg{creat} – milligram of creatinine – mass: §50 mho – mho – electric conductance: §47 min – minute – time: §31 mo – month – time: §31 mo_g – mean Gregorian month – time: §31 mo_j – mean Julian month – time: §31 mo_s – synodal month – time: §31 mol – mole – amount of substance: §30 n – nano – prefix : §27 osm – osmole – amount of substance (dissolved particles): §45 p – pico – prefix : §27 pc – parsec – length: §31 ph – phot – illuminance: §33 rad – radian – plane angle: §28 s – second – time: §28 sb – stilb – lum. intensity density: §33 sph – spere – solid angle: §47 sr – steradian – solid angle: §30 st – stere – volume: §47 t – tonne – mass: §31 tex – tex – linear mass density (of textile thread): §43 u – micro – prefix : §27 u – unified atomic mass unit – mass: §31 wk – week – time: §31 y – yocto – prefix : §27 z – zepto – prefix : §27 {rbc} – red blood cell count – number: §50 {tbl} – tablets – number: §50 {tot} – particles total count – number: §50
Alphabetic Index By Kind Of Quantity
(Hahnemann), homeopathic potency – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 (Hahnemann), homeopathic potency – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 (Hahnemann), homeopathic potency – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 (Hahnemann), homeopathic potency – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 (Korsakov), homeopathic potency – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 (Korsakov), homeopathic potency – homeopathic potency of decimal korsakovian series – [kp_X]: §44 (Korsakov), homeopathic potency – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 (Korsakov), homeopathic potency – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 (dissolved particles), amount of substance – osmole – osm: §45 (heparin), biologic activity of factor Xa inhibitor – anti factor Xa unit – [anti'Xa'U]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% cell culture infectious dose – [CCID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% embryo infectious dose – [EID_50]: §45 (infectivity) of an infectious agent preparation, biologic activity – 50% tissue culture infectious dose – [TCID_50]: §45 (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of – bioequivalent allergen unit – [BAU]: §45 (of textile thread), linear mass density – Denier – [den]: §43 (of textile thread), linear mass density – tex – tex: §43 (retired), homeopathic potency – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 (retired), homeopathic potency – homeopathic potency of decimal series (retired) – [hp'_X]: §44 (retired), homeopathic potency – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 (retired), homeopathic potency – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 (unclassified) – Boltzmann constant – [k]: §32 (unclassified) – Newtonian constant of gravitation – [G]: §32 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for – bioequivalent allergen unit – [BAU]: §45 ELISA unit, arbitrary – ELISA unit – [ELU]: §45 Ehrlich unit – Ehrlich unit – [EU]: §45 ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the – bioequivalent allergen unit – [BAU]: §45 IgA, biologic activity of anticardiolipin – APL unit – [APL'U]: §45 IgG, biologic activity of anticardiolipin – GPL unit – [GPL'U]: §45 IgM, biologic activity of anticardiolipin – MPL unit – [MPL'U]: §45 O, biologic activity antistreptolysin – Todd unit – [todd'U]: §45 Stallergenes® method., amount of an allergen callibrated through in-vivo testing using the – index of reactivity – [IR]: §45 VIII inhibitor, biologic activity of factor – Bethesda unit – [beth'U]: §45 Xa inhibitor (heparin), biologic activity of factor – anti factor Xa unit – [anti'Xa'U]: §45 a lens, refraction of – diopter – [diop]: §44 a poliomyelitis d-antigen substance, procedure defined amount of – D-antigen unit – [D'ag'U]: §45 a prism, refraction of – prism diopter – [p'diop]: §44 a proliferating organism, amount of – colony forming units – [CFU]: §45 a protein substance, procedure defined amount of – protein nitrogen unit – [PNU]: §45 acceleration – Gal – Gal: §33 acceleration – standard acceleration of free fall – [g]: §32 acidity – pH – [pH]: §45 action area – barn – b: §47 action – Planck constant – [h]: §32 activity (infectivity) of an infectious agent preparation, biologic – 50% cell culture infectious dose – [CCID_50]: §45 activity (infectivity) of an infectious agent preparation, biologic – 50% embryo infectious dose – [EID_50]: §45 activity (infectivity) of an infectious agent preparation, biologic – 50% tissue culture infectious dose – [TCID_50]: §45 activity antistreptolysin O, biologic – Todd unit – [todd'U]: §45 activity of amylase, biologic – Dye unit – [dye'U]: §45 activity of amylase, biologic – Somogyi unit – [smgy'U]: §45 activity of anticardiolipin IgA, biologic – APL unit – [APL'U]: §45 activity of anticardiolipin IgG, biologic – GPL unit – [GPL'U]: §45 activity of anticardiolipin IgM, biologic – MPL unit – [MPL'U]: §45 activity of factor VIII inhibitor, biologic – Bethesda unit – [beth'U]: §45 activity of factor Xa inhibitor (heparin), biologic – anti factor Xa unit – [anti'Xa'U]: §45 activity of phosphatase, biologic – Bodansky unit – [bdsk'U]: §45 activity of phosphatase, biologic – King-Armstrong unit – [ka'U]: §45 activity of tuberculin, biologic – tuberculin unit – [tb'U]: §45 activity, arbitrary biologic – Kunkel unit – [knk'U]: §45 activity, arbitrary biologic – Mac Lagan unit – [mclg'U]: §45 activity, catalytic – Unit – U: §45 activity, catalytic – katal – kat: §45 activity, metabolic cost of physical – metabolic equivalent – [MET]: §44 agent preparation, biologic activity (infectivity) of an infectious – 50% cell culture infectious dose – [CCID_50]: §45 agent preparation, biologic activity (infectivity) of an infectious – 50% embryo infectious dose – [EID_50]: §45 agent preparation, biologic activity (infectivity) of an infectious – 50% tissue culture infectious dose – [TCID_50]: §45 agent, amount of an infectious – focus forming units – [FFU]: §45 agent, amount of an infectious – plaque forming units – [PFU]: §45 allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an – bioequivalent allergen unit – [BAU]: §45 allergen callibrated through in-vivo testing using the Stallergenes® method., amount of an – index of reactivity – [IR]: §45 allergen of ragweed., procedure defined amount of the major – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 allergen using some reference standard, procedure defined amount of an – allergen unit – [AU]: §45 amount of a poliomyelitis d-antigen substance, procedure defined – D-antigen unit – [D'ag'U]: §45 amount of a proliferating organism – colony forming units – [CFU]: §45 amount of a protein substance, procedure defined – protein nitrogen unit – [PNU]: §45 amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – bioequivalent allergen unit – [BAU]: §45 amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – index of reactivity – [IR]: §45 amount of an allergen using some reference standard, procedure defined – allergen unit – [AU]: §45 amount of an antigen substance, procedure defined – Limit of flocculation – [Lf]: §45 amount of an infectious agent – focus forming units – [FFU]: §45 amount of an infectious agent – plaque forming units – [PFU]: §45 amount of fibrinogen broken down into the measured d-dimers – fibrinogen equivalent unit – [FEU]: §45 amount of information – bit – bit: §48 amount of information – bit – bit_s: §48 amount of information – byte – By: §48 amount of substance (dissolved particles) – osmole – osm: §45 amount of substance – equivalents – eq: §45 amount of substance – mole – mol: §30 amount of the major allergen of ragweed., procedure defined – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 amplitude spectral density – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 amylase, biologic activity of – Dye unit – [dye'U]: §45 amylase, biologic activity of – Somogyi unit – [smgy'U]: §45 an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of – bioequivalent allergen unit – [BAU]: §45 an allergen callibrated through in-vivo testing using the Stallergenes® method., amount of – index of reactivity – [IR]: §45 an allergen using some reference standard, procedure defined amount of – allergen unit – [AU]: §45 an antigen substance, procedure defined amount of – Limit of flocculation – [Lf]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% cell culture infectious dose – [CCID_50]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% embryo infectious dose – [EID_50]: §45 an infectious agent preparation, biologic activity (infectivity) of – 50% tissue culture infectious dose – [TCID_50]: §45 an infectious agent, amount of – focus forming units – [FFU]: §45 an infectious agent, amount of – plaque forming units – [PFU]: §45 angle, plane – circle – circ: §47 angle, plane – degree – deg: §31 angle, plane – gon grade – gon: §31 angle, plane – minute – ': §31 angle, plane – radian – rad: §28 angle, plane – second – '': §31 angle, solid – spere – sph: §47 angle, solid – steradian – sr: §30 anticardiolipin IgA, biologic activity of – APL unit – [APL'U]: §45 anticardiolipin IgG, biologic activity of – GPL unit – [GPL'U]: §45 anticardiolipin IgM, biologic activity of – MPL unit – [MPL'U]: §45 antigen substance, procedure defined amount of an – Limit of flocculation – [Lf]: §45 antistreptolysin O, biologic activity – Todd unit – [todd'U]: §45 arbitrary ELISA unit – ELISA unit – [ELU]: §45 arbitrary biologic activity – Kunkel unit – [knk'U]: §45 arbitrary biologic activity – Mac Lagan unit – [mclg'U]: §45 arbitrary – United States Pharmacopeia unit – [USP'U]: §45 arbitrary – arbitary unit – [arb'U]: §45 arbitrary – international unit – [IU]: §45 arbitrary – international unit – [iU]: §45 area in microscope, view – high power field – [HPF]: §45 area in microscope, view – low power field – [LPF]: §45 area – acre – [acr_br]: §36 area – acre – [acr_us]: §35 area – are – ar: §31 area – circular mil – [cml_i]: §34 area – section – [sct]: §35 area – square foot – [sft_i]: §34 area – square inch – [sin_i]: §34 area – square mile – [smi_us]: §35 area – square rod – [srd_us]: §35 area – square yard – [syd_i]: §34 area – township – [twp]: §35 area, action – barn – b: §47 attenuation, x-ray – Hounsfield unit – [hnsf'U]: §44 based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing – bioequivalent allergen unit – [BAU]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% cell culture infectious dose – [CCID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% embryo infectious dose – [EID_50]: §45 biologic activity (infectivity) of an infectious agent preparation – 50% tissue culture infectious dose – [TCID_50]: §45 biologic activity antistreptolysin O – Todd unit – [todd'U]: §45 biologic activity of amylase – Dye unit – [dye'U]: §45 biologic activity of amylase – Somogyi unit – [smgy'U]: §45 biologic activity of anticardiolipin IgA – APL unit – [APL'U]: §45 biologic activity of anticardiolipin IgG – GPL unit – [GPL'U]: §45 biologic activity of anticardiolipin IgM – MPL unit – [MPL'U]: §45 biologic activity of factor VIII inhibitor – Bethesda unit – [beth'U]: §45 biologic activity of factor Xa inhibitor (heparin) – anti factor Xa unit – [anti'Xa'U]: §45 biologic activity of phosphatase – Bodansky unit – [bdsk'U]: §45 biologic activity of phosphatase – King-Armstrong unit – [ka'U]: §45 biologic activity of tuberculin – tuberculin unit – [tb'U]: §45 biologic activity, arbitrary – Kunkel unit – [knk'U]: §45 biologic activity, arbitrary – Mac Lagan unit – [mclg'U]: §45 brightness – Lambert – Lmb: §33 broken down into the measured d-dimers, amount of fibrinogen – fibrinogen equivalent unit – [FEU]: §45 callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen – bioequivalent allergen unit – [BAU]: §45 callibrated through in-vivo testing using the Stallergenes® method., amount of an allergen – index of reactivity – [IR]: §45 capacitance, electric – farad – F: §30 catalytic activity – Unit – U: §45 catalytic activity – katal – kat: §45 catheters, gauge of – Charrière french – [Ch]: §44 charge, electric – coulomb – C: §28 charge, electric – elementary charge – [e]: §32 coefficient, sedimentation – Svedberg unit – [S]: §45 concentration, mass – gram percent – g%: §45 conductance, electric – mho – mho: §47 conductance, electric – siemens – S: §30 cost of physical activity, metabolic – metabolic equivalent – [MET]: §44 current, electric – Biot – Bi: §33 current, electric – ampère – A: §30 d-antigen substance, procedure defined amount of a poliomyelitis – D-antigen unit – [D'ag'U]: §45 d-dimers, amount of fibrinogen broken down into the measured – fibrinogen equivalent unit – [FEU]: §45 defined amount of a poliomyelitis d-antigen substance, procedure – D-antigen unit – [D'ag'U]: §45 defined amount of a protein substance, procedure – protein nitrogen unit – [PNU]: §45 defined amount of an allergen using some reference standard, procedure – allergen unit – [AU]: §45 defined amount of an antigen substance, procedure – Limit of flocculation – [Lf]: §45 defined amount of the major allergen of ragweed., procedure – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 density (of textile thread), linear mass – Denier – [den]: §43 density (of textile thread), linear mass – tex – tex: §43 density, amplitude spectral – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 density, lum. intensity – stilb – sb: §33 density, magnetic flux – Gauss – G: §33 density, magnetic flux – tesla – T: §30 depth of water – fathom – [fth_i]: §34 diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema – bioequivalent allergen unit – [BAU]: §45 dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal – bioequivalent allergen unit – [BAU]: §45 dose equivalent – radiation equivalent man – REM: §33 dose equivalent – sievert – Sv: §30 dose, energy – gray – Gy: §30 dose, energy – radiation absorbed dose – RAD: §33 dose, ion – Roentgen – R: §33 down into the measured d-dimers, amount of fibrinogen broken – fibrinogen equivalent unit – [FEU]: §45 dry volume – bushel – [bu_us]: §37 dry volume – dry pint – [dpt_us]: §37 dry volume – dry quart – [dqt_us]: §37 dry volume – historical winchester gallon – [gal_wi]: §37 dry volume – peck – [pk_us]: §37 dynamic viscosity – Poise – P: §33 electric capacitance – farad – F: §30 electric charge – coulomb – C: §28 electric charge – elementary charge – [e]: §32 electric conductance – mho – mho: §47 electric conductance – siemens – S: §30 electric current – Biot – Bi: §33 electric current – ampère – A: §30 electric permittivity – permittivity of vacuum – [eps_0]: §32 electric potential level – bel 10 nanovolt – B[10.nV]: §46 electric potential level – bel microvolt – B[uV]: §46 electric potential level – bel millivolt – B[mV]: §46 electric potential level – bel volt – B[V]: §46 electric potential – volt – V: §30 electric resistance – ohm – Ohm: §30 energy dose – gray – Gy: §30 energy dose – radiation absorbed dose – RAD: §33 energy – British thermal unit at 39 °F – [Btu_39]: §43 energy – British thermal unit at 59 °F – [Btu_59]: §43 energy – British thermal unit at 60 °F – [Btu_60]: §43 energy – British thermal unit – [Btu]: §43 energy – calorie at 15 °C – cal_[15]: §43 energy – calorie at 20 °C – cal_[20]: §43 energy – calorie – cal: §43 energy – electronvolt – eV: §31 energy – erg – erg: §33 energy – international table British thermal unit – [Btu_IT]: §43 energy – international table calorie – cal_IT: §43 energy – joule – J: §30 energy – mean British thermal unit – [Btu_m]: §43 energy – mean calorie – cal_m: §43 energy – nutrition label Calories – [Cal]: §43 energy – thermochemical British thermal unit – [Btu_th]: §43 energy – thermochemical calorie – cal_th: §43 equivalent, dose – radiation equivalent man – REM: §33 equivalent, dose – sievert – Sv: §30 erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of – bioequivalent allergen unit – [BAU]: §45 factor VIII inhibitor, biologic activity of – Bethesda unit – [beth'U]: §45 factor Xa inhibitor (heparin), biologic activity of – anti factor Xa unit – [anti'Xa'U]: §45 fibrinogen broken down into the measured d-dimers, amount of – fibrinogen equivalent unit – [FEU]: §45 field intensity, magnetic – Oersted – Oe: §33 fluid resistance – Wood unit – [wood'U]: §44 fluid resistance – peripheral vascular resistance unit – [PRU]: §44 fluid volume – Queen Anne's wine gallon – [gal_us]: §37 fluid volume – barrel – [bbl_us]: §37 fluid volume – cord – [crd_us]: §37 fluid volume – fluid dram – [fdr_us]: §37 fluid volume – fluid ounce – [foz_us]: §37 fluid volume – gill – [gil_us]: §37 fluid volume – metric fluid ounce – [foz_m]: §37 fluid volume – minim – [min_us]: §37 fluid volume – pint – [pt_us]: §37 fluid volume – quart – [qt_us]: §37 flux density, magnetic – Gauss – G: §33 flux density, magnetic – tesla – T: §30 flux of magnetic induction – Maxwell – Mx: §33 flux, luminous – lumen – lm: §30 flux, magnetic – weber – Wb: §30 force – dyne – dyn: §33 force – gram-force – gf: §32 force – newton – N: §30 force – pound force – [lbf_av]: §32 fraction – parts per billion – [ppb]: §29 fraction – parts per million – [ppm]: §29 fraction – parts per thousand – [ppth]: §29 fraction – parts per trillion – [pptr]: §29 fraction – percent – %: §29 fraction, mass – carat of gold alloys – [car_Au]: §47 frequency – hertz – Hz: §30 gauge of catheters – Charrière french – [Ch]: §44 height of horses – hand – [hd_i]: §34 homeopathic potency (Hahnemann) – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 homeopathic potency (Hahnemann) – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 homeopathic potency (Hahnemann) – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 homeopathic potency (Hahnemann) – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 homeopathic potency (Korsakov) – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 homeopathic potency (Korsakov) – homeopathic potency of decimal korsakovian series – [kp_X]: §44 homeopathic potency (Korsakov) – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 homeopathic potency (Korsakov) – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 homeopathic potency (retired) – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 homeopathic potency (retired) – homeopathic potency of decimal series (retired) – [hp'_X]: §44 homeopathic potency (retired) – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 homeopathic potency (retired) – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 horses, height of – hand – [hd_i]: §34 illuminance – lux – lx: §30 illuminance – phot – ph: §33 in microscope, view area – high power field – [HPF]: §45 in microscope, view area – low power field – [LPF]: §45 in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through – bioequivalent allergen unit – [BAU]: §45 in-vivo testing using the Stallergenes® method., amount of an allergen callibrated through – index of reactivity – [IR]: §45 inductance – henry – H: §30 induction, flux of magnetic – Maxwell – Mx: §33 infectious agent preparation, biologic activity (infectivity) of an – 50% cell culture infectious dose – [CCID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50% embryo infectious dose – [EID_50]: §45 infectious agent preparation, biologic activity (infectivity) of an – 50% tissue culture infectious dose – [TCID_50]: §45 infectious agent, amount of an – focus forming units – [FFU]: §45 infectious agent, amount of an – plaque forming units – [PFU]: §45
information, amount of – bit – bit: §48 information, amount of – bit – bit_s: §48 information, amount of – byte – By: §48 inhibitor (heparin), biologic activity of factor Xa – anti factor Xa unit – [anti'Xa'U]: §45 inhibitor, biologic activity of factor VIII – Bethesda unit – [beth'U]: §45 intensity density, lum. – stilb – sb: §33 intensity, luminous – candela – cd: §28 intensity, magnetic field – Oersted – Oe: §33 into the measured d-dimers, amount of fibrinogen broken down – fibrinogen equivalent unit – [FEU]: §45 ion dose – Roentgen – R: §33 kinematic viscosity – Stokes – St: §33 length – Gunter's chain Surveyor's chain – [ch_us]: §35 length – Gunter's chain – [ch_br]: §36 length – Printer's pica – [pca_pr]: §42 length – Printer's point – [pnt_pr]: §42 length – Ramden's chain Engineer's chain – [rch_us]: §35 length – Smoot – [smoot]: §47 length – astronomic unit – AU: §31 length – cicero Didot's pica – [cicero]: §42 length – didot Didot's point – [didot]: §42 length – fathom – [fth_br]: §36 length – fathom – [fth_us]: §35 length – foot – [ft_br]: §36 length – foot – [ft_i]: §34 length – foot – [ft_us]: §35 length – furlong – [fur_us]: §35 length – inch – [in_br]: §36 length – inch – [in_i]: §34 length – inch – [in_us]: §35 length – light-year – [ly]: §32 length – ligne French line – [ligne]: §42 length – line – [lne]: §42 length – link for Gunter's chain – [lk_br]: §36 length – link for Gunter's chain – [lk_us]: §35 length – link for Ramden's chain – [rlk_us]: §35 length – meter – m: §28 length – mil – [mil_i]: §34 length – mil – [mil_us]: §35 length – mile – [mi_br]: §36 length – mile – [mi_i]: §34 length – mile – [mi_us]: §35 length – nautical mile – [nmi_br]: §36 length – nautical mile – [nmi_i]: §34 length – pace – [pc_br]: §36 length – parsec – pc: §31 length – pica – [pca]: §42 length – pied French foot – [pied]: §42 length – point – [pnt]: §42 length – pouce French inch – [pouce]: §42 length – rod – [rd_br]: §36 length – rod – [rd_us]: §35 length – yard – [yd_br]: §36 length – yard – [yd_i]: §34 length – yard – [yd_us]: §35 length – Ångström – Ao: §47 lens, refraction of a – diopter – [diop]: §44 level – bel – B: §46 level – neper – Np: §46 level, electric potential – bel 10 nanovolt – B[10.nV]: §46 level, electric potential – bel microvolt – B[uV]: §46 level, electric potential – bel millivolt – B[mV]: §46 level, electric potential – bel volt – B[V]: §46 level, power – bel kilowatt – B[kW]: §46 level, power – bel watt – B[W]: §46 level, pressure – bel sound pressure – B[SPL]: §46 linear mass density (of textile thread) – Denier – [den]: §43 linear mass density (of textile thread) – tex – tex: §43 lineic number – Kayser – Ky: §33 lineic number – mesh – [mesh_i]: §44 lum. intensity density – stilb – sb: §33 luminous flux – lumen – lm: §30 luminous intensity – candela – cd: §28 magnetic field intensity – Oersted – Oe: §33 magnetic flux density – Gauss – G: §33 magnetic flux density – tesla – T: §30 magnetic flux – weber – Wb: §30 magnetic induction, flux of – Maxwell – Mx: §33 magnetic permeability – permeability of vacuum – [mu_0]: §32 magnetic tension – Gilbert – Gb: §33 major allergen of ragweed., procedure defined amount of the – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 mass concentration – gram percent – g%: §45 mass density (of textile thread), linear – Denier – [den]: §43 mass density (of textile thread), linear – tex – tex: §43 mass fraction – carat of gold alloys – [car_Au]: §47 mass – dram drachm – [dr_ap]: §41 mass – dram – [dr_av]: §39 mass – electron mass – [m_e]: §32 mass – grain – [gr]: §39 mass – gram – g: §28 mass – kilogram of wet tissue – kg{wet'tis}: §50 mass – long hunderdweight British hundredweight – [lcwt_av]: §39 mass – long ton British ton – [lton_av]: §39 mass – metric carat – [car_m]: §47 mass – metric ounce – [oz_m]: §41 mass – milligram of creatinine – mg{creat}: §50 mass – ounce – [oz_ap]: §41 mass – ounce – [oz_av]: §39 mass – ounce – [oz_tr]: §40 mass – pennyweight – [pwt_tr]: §40 mass – pound – [lb_ap]: §41 mass – pound – [lb_av]: §39 mass – pound – [lb_tr]: §40 mass – proton mass – [m_p]: §32 mass – scruple – [sc_ap]: §41 mass – short hundredweight U.S. hundredweight – [scwt_av]: §39 mass – short ton U.S. ton – [ston_av]: §39 mass – stone British stone – [stone_av]: §39 mass – tonne – t: §31 mass – unified atomic mass unit – u: §31 measured d-dimers, amount of fibrinogen broken down into the – fibrinogen equivalent unit – [FEU]: §45 metabolic cost of physical activity – metabolic equivalent – [MET]: §44 method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL – bioequivalent allergen unit – [BAU]: §45 method., amount of an allergen callibrated through in-vivo testing using the Stallergenes® – index of reactivity – [IR]: §45 microscope, view area in – high power field – [HPF]: §45 microscope, view area in – low power field – [LPF]: §45 number – particles total count – {tot}: §50 number – red blood cell count – {rbc}: §50 number – tablets – {tbl}: §50 number – the number pi – [pi]: §29 number – the number ten for arbitrary powers – 10*: §29 number – the number ten for arbitrary powers – 10^: §29 number, lineic – Kayser – Ky: §33 number, lineic – mesh – [mesh_i]: §44 on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based – bioequivalent allergen unit – [BAU]: §45 organism, amount of a proliferating – colony forming units – [CFU]: §45 particles), amount of substance (dissolved – osmole – osm: §45 permeability, magnetic – permeability of vacuum – [mu_0]: §32 permittivity, electric – permittivity of vacuum – [eps_0]: §32 phosphatase, biologic activity of – Bodansky unit – [bdsk'U]: §45 phosphatase, biologic activity of – King-Armstrong unit – [ka'U]: §45 physical activity, metabolic cost of – metabolic equivalent – [MET]: §44 plane angle – circle – circ: §47 plane angle – degree – deg: §31 plane angle – gon grade – gon: §31 plane angle – minute – ': §31 plane angle – radian – rad: §28 plane angle – second – '': §31 poliomyelitis d-antigen substance, procedure defined amount of a – D-antigen unit – [D'ag'U]: §45 potency (Hahnemann), homeopathic – homeopathic potency of centesimal hahnemannian series – [hp_C]: §44 potency (Hahnemann), homeopathic – homeopathic potency of decimal hahnemannian series – [hp_X]: §44 potency (Hahnemann), homeopathic – homeopathic potency of millesimal hahnemannian series – [hp_M]: §44 potency (Hahnemann), homeopathic – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]: §44 potency (Korsakov), homeopathic – homeopathic potency of centesimal korsakovian series – [kp_C]: §44 potency (Korsakov), homeopathic – homeopathic potency of decimal korsakovian series – [kp_X]: §44 potency (Korsakov), homeopathic – homeopathic potency of millesimal korsakovian series – [kp_M]: §44 potency (Korsakov), homeopathic – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]: §44 potency (retired), homeopathic – homeopathic potency of centesimal series (retired) – [hp'_C]: §44 potency (retired), homeopathic – homeopathic potency of decimal series (retired) – [hp'_X]: §44 potency (retired), homeopathic – homeopathic potency of millesimal series (retired) – [hp'_M]: §44 potency (retired), homeopathic – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]: §44 potential level, electric – bel 10 nanovolt – B[10.nV]: §46 potential level, electric – bel microvolt – B[uV]: §46 potential level, electric – bel millivolt – B[mV]: §46 potential level, electric – bel volt – B[V]: §46 potential, electric – volt – V: §30 power level – bel kilowatt – B[kW]: §46 power level – bel watt – B[W]: §46 power – horsepower – [HP]: §43 power – watt – W: §30 preparation, biologic activity (infectivity) of an infectious agent – 50% cell culture infectious dose – [CCID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% embryo infectious dose – [EID_50]: §45 preparation, biologic activity (infectivity) of an infectious agent – 50% tissue culture infectious dose – [TCID_50]: §45 pressure level – bel sound pressure – B[SPL]: §46 pressure – bar – bar: §31 pressure – inch of mercury column – [in_i'Hg]: §44 pressure – inch of water column – [in_i'H2O]: §44 pressure – meter of mercury column – m[Hg]: §44 pressure – meter of water column – m[H2O]: §44 pressure – pascal – Pa: §30 pressure – pound per sqare inch – [psi]: §47 pressure – standard atmosphere – atm: §32 pressure – technical atmosphere – att: §47 prism, refraction of a – prism diopter – [p'diop]: §44 procedure defined amount of a poliomyelitis d-antigen substance – D-antigen unit – [D'ag'U]: §45 procedure defined amount of a protein substance – protein nitrogen unit – [PNU]: §45 procedure defined amount of an allergen using some reference standard – allergen unit – [AU]: §45 procedure defined amount of an antigen substance – Limit of flocculation – [Lf]: §45 procedure defined amount of the major allergen of ragweed. – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 proliferating organism, amount of a – colony forming units – [CFU]: §45 proportional to ventricular stroke work – gram meter per heartbeat – g.m/{H.B.}: §50 protein substance, procedure defined amount of a – protein nitrogen unit – [PNU]: §45 radioactivity – Curie – Ci: §33 radioactivity – becquerel – Bq: §30 ragweed., procedure defined amount of the major allergen of – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]: §45 rate, signal transmission – baud – Bd: §48 reference standard, procedure defined amount of an allergen using some – allergen unit – [AU]: §45 refraction of a lens – diopter – [diop]: §44 refraction of a prism – prism diopter – [p'diop]: §44 resistance, electric – ohm – Ohm: §30 resistance, fluid – Wood unit – [wood'U]: §44 resistance, fluid – peripheral vascular resistance unit – [PRU]: §44 sedimentation coefficient – Svedberg unit – [S]: §45 signal transmission rate – baud – Bd: §48 slope – percent of slope – %[slope]: §44 solid angle – spere – sph: §47 solid angle – steradian – sr: §30 some reference standard, procedure defined amount of an allergen using – allergen unit – [AU]: §45 spectral density, amplitude – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]: §47 standard, procedure defined amount of an allergen using some reference – allergen unit – [AU]: §45 stroke work, proportional to ventricular – gram meter per heartbeat – g.m/{H.B.}: §50 stroke work, ventricular – gram-force meter per heartbeat – gf.m/{H.B.}: §50 substance (dissolved particles), amount of – osmole – osm: §45 substance, amount of – equivalents – eq: §45 substance, amount of – mole – mol: §30 substance, procedure defined amount of a poliomyelitis d-antigen – D-antigen unit – [D'ag'U]: §45 substance, procedure defined amount of a protein – protein nitrogen unit – [PNU]: §45 substance, procedure defined amount of an antigen – Limit of flocculation – [Lf]: §45 sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm – bioequivalent allergen unit – [BAU]: §45 temperature – degree Celsius – Cel: §30 temperature – degree Fahrenheit – [degF]: §43 temperature – degree Rankine – [degR]: §43 temperature – degree Réaumur – [degRe]: §43 temperature – kelvin – K: §28 tension, magnetic – Gilbert – Gb: §33 testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo – bioequivalent allergen unit – [BAU]: §45 testing using the Stallergenes® method., amount of an allergen callibrated through in-vivo – index of reactivity – [IR]: §45 textile thread), linear mass density (of – Denier – [den]: §43 textile thread), linear mass density (of – tex – tex: §43 thread), linear mass density (of textile – Denier – [den]: §43 thread), linear mass density (of textile – tex – tex: §43 through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated – bioequivalent allergen unit – [BAU]: §45 through in-vivo testing using the Stallergenes® method., amount of an allergen callibrated – index of reactivity – [IR]: §45 time – day – d: §31 time – hour – h: §31 time – mean Gregorian month – mo_g: §31 time – mean Gregorian year – a_g: §31 time – mean Julian month – mo_j: §31 time – mean Julian year – a_j: §31 time – minute – min: §31 time – month – mo: §31 time – second – s: §28 time – synodal month – mo_s: §31 time – tropical year – a_t: §31 time – week – wk: §31 time – year – a: §31 transmission rate, signal – baud – Bd: §48 tuberculin, biologic activity of – tuberculin unit – [tb'U]: §45 unit, Ehrlich – Ehrlich unit – [EU]: §45 unit, arbitrary ELISA – ELISA unit – [ELU]: §45 using some reference standard, procedure defined amount of an allergen – allergen unit – [AU]: §45 using the Stallergenes® method., amount of an allergen callibrated through in-vivo testing – index of reactivity – [IR]: §45 velocity – knot – [kn_br]: §36 velocity – knot – [kn_i]: §34 velocity – velocity of light – [c]: §32 ventricular stroke work – gram-force meter per heartbeat – gf.m/{H.B.}: §50 ventricular stroke work, proportional to – gram meter per heartbeat – g.m/{H.B.}: §50 view area in microscope – high power field – [HPF]: §45 view area in microscope – low power field – [LPF]: §45 viscosity, dynamic – Poise – P: §33 viscosity, kinematic – Stokes – St: §33 volume – board foot – [bf_i]: §34 volume – bushel – [bu_br]: §38 volume – cord – [cr_i]: §34 volume – cubic foot – [cft_i]: §34 volume – cubic inch – [cin_i]: §34 volume – cubic yard – [cyd_i]: §34 volume – cup – [cup_us]: §37 volume – drop – [drp]: §44 volume – fluid dram – [fdr_br]: §38 volume – fluid ounce – [foz_br]: §38 volume – gallon – [gal_br]: §38 volume – gill – [gil_br]: §38 volume – liter – L: §31 volume – liter – l: §31 volume – metric cup – [cup_m]: §37 volume – metric tablespoon – [tbs_m]: §37 volume – metric teaspoon – [tsp_m]: §37 volume – minim – [min_br]: §38 volume – peck – [pk_br]: §38 volume – pint – [pt_br]: §38 volume – quart – [qt_br]: §38 volume – stere – st: §47 volume – tablespoon – [tbs_us]: §37 volume – teaspoon – [tsp_us]: §37 volume, dry – bushel – [bu_us]: §37 volume, dry – dry pint – [dpt_us]: §37 volume, dry – dry quart – [dqt_us]: §37 volume, dry – historical winchester gallon – [gal_wi]: §37 volume, dry – peck – [pk_us]: §37 volume, fluid – Queen Anne's wine gallon – [gal_us]: §37 volume, fluid – barrel – [bbl_us]: §37 volume, fluid – cord – [crd_us]: §37 volume, fluid – fluid dram – [fdr_us]: §37 volume, fluid – fluid ounce – [foz_us]: §37 volume, fluid – gill – [gil_us]: §37 volume, fluid – metric fluid ounce – [foz_m]: §37 volume, fluid – minim – [min_us]: §37 volume, fluid – pint – [pt_us]: §37 volume, fluid – quart – [qt_us]: §37 water, depth of – fathom – [fth_i]: §34 work, proportional to ventricular stroke – gram meter per heartbeat – g.m/{H.B.}: §50 work, ventricular stroke – gram-force meter per heartbeat – gf.m/{H.B.}: §50 x-ray attenuation – Hounsfield unit – [hnsf'U]: §44
Example Unit Terms
-The following table lists example unit terms that are commonly used in
-medicine. Since the space of possible unit terms is infinite in theory
-and very large in practice, no attempt has been made on a systematic
-coverage of possible units. All necessary units can be built from the
-rules of The Unified Code for Units of Measure and there is no need of a particular term to be
-enumerated in order to be valid.
-
-The source of this table is the HL7 V2.4 table of units in chapter 7
-with many corrections and some modifications.
-
-The columns are: (1) the case sensitive unit term and variants; (2) a
-plain text reading; (3) example use; (4) canonical form. The canonical
-form, consisting of 3 columns: (4.1) the magnitude value of the unit term in
-terms of the canonical unit; (4.2) a canonical unit term; (4.3) if
-applicable a special conversion function code.
-
-When a special conversion function is specified, the conversion takes
-more than multiplication with a factor. Implementers should consult
-the UCUM specification or the reference implementation for details on
-how to apply these conversion functions.
-
-The example unit terms are given with alternatives for the following
-reason. The source of the example terms is the HL7 version 2.4
-specification of chapter 7. To show the essential differences between
-UCUM and the HL7 version 2.4 codes, the first column shows unit terms
-that are as similar to the HL7 2.4 published terms as
-possible. However, the HL7 version 2.4 suggested unit terms were
-sometimes unnecessarily complicated (e.g., the unit 1 dyn cast as 10
-μN; decimal factors instead of the standard multiplier prefixes,
-nested parenthetical terms in divisions, etc.), even sometimes
-suggesting deprecated conventional habits (e.g., using annotations
-like "/g{HGB}" instead of just "/g".) Hence, the second column
-"alternative suggestions" lists equivalent unit terms that are either
-more straightforward or more appropriate or both.
-
Example Unit Terms by Term
unit term
suggested alternatives
name or "reading"
example use
canonical form value
canonical form unit
c.f. func
/[arb'U]
per arbitrary unit
1
1
/[HPF]
per high power field
1
1
/[iU]
per international unit
1
1
/{tot}
per total count
1
1
/g{creat}
/g
per gram of creatinine
1
g-1
/g{HGB}
/g
per gram of hemoglobin
1
g-1
/g{tot'nit}
/g
per gram of total nitrogen
1
g-1
/g{tot'ptot}
/g
per gram of total protein
1
g-1
/g{wet'tis}
/g
per gram of wet tissue
1
g-1
/kg
per kilogram
0.001
g-1
/kg{body'wt}
/kg
per kilogram body weight
.001
g-1
/L
per liter
1000
m-3
/m3
per square meter
1
m-3
/min
per minute
0.0166666666666667
s-1
/mL
per milliliter
1000000
m-3
/mL
per milliliter
1000000
m-3
[iU]/d
international unit per day
1.15740740740741 × 10-5
s-1
[iU]/h
international unit per hour
0.000277777777777778
s-1
[iU]/kg
international unit per kilogram
0.001
g-1
[iU]/L
international unit per liter
1000
m-3
[iU]/min
international unit per minute
0.0166666666666667
s-1
[iU]/mL
international unit per milliliter
1000000
m-3
10*12/L
/pL
trillion per liter
1015
m-3
10*3.{RBC}
10*3
thousand red blood cells
1000
1
10*3/L
/mL
thousand per liter
1000000
m-3
10*3/mL
/uL
thousand per milliliter
1000000000
m-3
10*3/mm3
/nL
thousand cubic millimeter
white blood cell count
1000000000000
m-3
10*6/L
/uL
million per liter
1000000000
m-3
10*6/mL
/nL
million per milliliter
1000000000000
m-3
10*6/mm3
/pL
million per cubic millimeter
1015
m-3
10*9/L
/nL
billion per liter
1000000000000
m-3
10*9/mL
/pL
billion per milliliter
1015
m-3
10*9/mm3
/fL
billion per cubic millimeter
1018
m-3
10.L/(min.m2)
daL/min/m2
ten liter per minute and square meter (dekaliter per minute and square meter)
0.000166666666666667
m.s-1
10.L/min
daL/min
ten liter per minute (dekaliter per minute)
0.000166666666666667
m3.s-1
10.uN.s/(cm5.m2)
dyn.s/(cm5.m2) dyn.s/cm5/m2
dyne second per centimeter5 and square meter
systemic vascular resistance/body surface area
100000000
m-6.g.s-1
10.uN.s/cm5
dyn.s/cm5
dyne second per centimeter5
systemic vascular resistance
100000000
m-4.g.s-1
A/m
ampere per meter
1
m-1.s-1.C
cm
centimeter
0.01
m
cm[H2O]
centimeter H2O
98066.5
m-1.g.s-2
cm[H2O].s/L
cm[H2O]/(L/s)
centimeter H20 per ( liter per second ) (centimeter H20 second per liter)
mean pulmonary resistance
98066500
m-4.g.s-1
cm[H2O]/(s.m)
cm[H2O]/s/m
centimeter H20 per second and meter
pulmonary pressure time product
98066.5
m-2.g.s-3
cm2/s
square centimeter per second
0.0001
m2.s-1
dm2/s2
square dekameter per square second
0.01
m2.s-2
fg
femtogram
10-15
g
fL
femtoliter
10-18
m3
fmol
femtomole
602213670
1
g.m
gram meter
1
m.g
gf.m
gram-force meter
9.80665
m2.s-2.g
gf.m/({hb}.m2)
gf.m/{hb}/m2 gf/m
gram-force meter per heartbeat and square meter
9.80665
s-2.g
gf.m/{hb}
gf.m
gram-force meter per heartbeat
ventricular stroke work
9.80665
m2.s-2.g
g/(8.h)
gram per 8-hour shift
3.47222222222222 × 10-5
g.s-1
g/(8.kg.h)
g/kg/(8.h) 125/h
gram per kilogram and 8-hour shift
mass dose rate per body mass
3.47222222222222 × 10-8
s-1
g/(kg.d)
g/kg/d
gram per kilogram and day
mass dose rate per body mass
1.15740740740741 × 10-8
s-1
g/(kg.h)
g/kg/h 10*-3/h
gram per kilogram and hour
mass dose rate per body mass
2.77777777777778 × 10-7
s-1
g/(kg.min)
g/kg/min 10*-3/min
gram per kilogram and minute
mass dose rate per body mass
1.66666666666667 × 10-5
s-1
g/d
gram per day
1.15740740740741 × 10-5
g.s-1
g/dL
gram per deciliter
10000
m-3.g
g/h
gram per hour
0.000277777777777778
g.s-1
g/kg
1/1000
gram per kilogram
mass dose per body mass
0.001
1
g/L
gram per liter
1000
m-3.g
g/m2
gram per square meter
mass does per body surface area
1
m-2.g
g/min
gram per minute
0.0166666666666667
g.s-1
hL
hectoliter
0.1
m3
J/L
joule per liter
work of breathing
1000000
m-1.g.s-2
K/W
kelvin per watt
0.001
m-2.g-1.s3.K
kat/kg
katal per kilogram
6.02214076 × 1020
g-1.s-1
kat/L
katal per liter
6.02214076 × 1026
m-3.s-1
kcal
kilocalorie
4184000
m2.g.s-2
kcal/(8.h)
kilocalorie per 8-hour shift
145.277777777778
m2.g.s-3
kcal/d
kilocalorie per day
48.4259259259259
m2.g.s-3
kcal/h
kilocalorie per hour
1162.22222222222
m2.g.s-3
kg
kilogram
1000
g
kg.m/s
kilogram meter per second
1000
m.g.s-1
kg/(s.m2)
kilogram per second and square meter
1000
m-2.g.s-1
kg/h
kilogram per hour
0.277777777777778
g.s-1
kg/L
kilogram per liter
1000000
m-3.g
kg/m2
kilogram per square meter
1000
m-2.g
kg/m3
kilogram per cubic meter
1000
m-3.g
kg/min
kilogram per minute
16.6666666666667
g.s-1
kg/mol
kilogram per mole
1.66054018667494 × 10-21
g
kg/s
kilogram per second
1000
g.s-1
kPa
kilopascal
1000000
m-1.g.s-2
ks
kilosecond
1000
s
L.s2/s
L.s
liter square second per second
0.001
m3.s
L/(8.h)
liter per 8-hour shift
3.47222222222222 × 10-8
m3.s-1
L/(min.m2)
liter per minute and square meter
cardiac index (cardiac output per body surface area)
1.66666666666667 × 10-5
m.s-1
L/d
liter per day
1.15740740740741 × 10-8
m3.s-1
L/h
liter per hour
2.77777777777778 × 10-7
m3.s-1
L/kg
liter per kilogram
10-6
m3.g-1
L/min
liter per minute
1.66666666666667 × 10-5
m3.s-1
L/s
liter per second
peak expiratory flow
0.001
m3.s-1
lm/m2
lumen per square meter
1
m-2.rad2.cd
m/s
meter per second
1
m.s-1
m/s2
meter per square second
1
m.s-2
m[iU]/mL
milli-international unit per milliliter
1000
m-3
m2
square meter
body surface area
1
m2
m2/s
square meter per second
1
m2.s-1
m3/s
cubic meter per second
1
m3.s-1
mbar
millibar
100000
m-1.g.s-2
mbar.s/L
mbar/(L.s)
millibar per (liter per second) = millibar second per liter
expiratory resistance
100000000
m-4.g.s-1
meq
milliequivalent
6.02214076 × 1020
1
meq/(8.h)
milliequivalent per 8-hour shift
2.0910196875 × 1016
s-1
meq/(8.h.kg)
meq/kg/(8.h)
milliequivalent per kilogram and 8-hour shift
dose rate per patient body mass
20910196875000
g-1.s-1
meq/(kg.d)
meq/kg/d
milliequivalent per kilogram per day
dose rate per patient body mass
6970065625000
g-1.s-1
meq/(kg.h)
meq/kg/h
milliequivalent per kilogram per hour
dose rate per patient body mass
167281575000000
g-1.s-1
meq/(kg.min)
meq/kg/min
milliequivalent per kilogram and minute
dose rate per patient body mass
1.00368945 × 1016
g-1.s-1
meq/d
milliequivalent per day
6.970065625 × 1015
s-1
meq/h
milliequivalent per hour
1.67281575 × 1017
s-1
meq/kg
milliequivalent per kilogram
dose per patient body mass
6.02214076 × 1017
g-1
meq/L
milliequivalent per liter
6.02214076 × 1023
m-3
meq/m2
milliequivalent per square meter
dose per patient body surface area
6.02214076 × 1020
m-2
meq/min
milliequivalent per minute
1.00368945 × 1019
s-1
mg
milligram
0.001
g
mg/(8.h)
milligram per 8-hour shift
3.47222222222222 × 10-8
g.s-1
mg/(8.h.kg)
mg/kg/(8.h) 10*-6/(8.h)
milligram per kilogram and 8-hour shift
mass dose rate per patient body mass
3.47222222222222 × 10-11
s-1
mg/(kg.d)
mg/kg/d 10*-6/d
milligram per kilogram and day
mass dose rate per patient body mass
1.15740740740741 × 10-11
s-1
mg/(kg.h)
mg/kg/h 10*-6/h
milligram per kilogram and hour
mass dose rate per patient body mass
2.77777777777778 × 10-10
s-1
mg/(kg.min)
mg/kg/min 10*-6/min
milligram per kilogram and minute
mass dose rate per patient body mass
1.66666666666667 × 10-8
s-1
mg/d
milligram per day
1.15740740740741 × 10-8
g.s-1
mg/dL
milligram per deciliter
10
m-3.g
mg/h
milligram per hour
2.77777777777778 × 10-7
g.s-1
mg/kg
10*-6
milligram per kilogram
10-6
1
mg/L
milligram per liter
1
m-3.g
mg/m2
milligram per square meter
mass dose per patient body surface area
0.001
m-2.g
mg/m3
milligram per cubic meter
0.001
m-3.g
mg/min
milligram per minute
1.66666666666667 × 10-5
g.s-1
mL
milliliter
10-6
m3
mL/({h'b}.m2)
mL/m2
milliliter per heartbeat per square meter
ventricular stroke volume index
10-6
m
mL/(8.h)
milliliter per 8-hour shift
3.47222222222222 × 10-11
m3.s-1
mL/(8.h.kg)
mL/kg/(8.h)
milliliter per kilogram and 8-hour shift
renal excretion volume rate per body mass
3.47222222222222 × 10-14
m3.g-1.s-1
mL/(kg.d)
mL/kg/d
milliliter per kilogram and day
renal excretion volume rate per body mass
1.15740740740741 × 10-14
m3.g-1.s-1
mL/(kg.h)
mL/kg/h
milliliter per kilogram and hour
renal excretion volume rate per body mass
2.77777777777778 × 10-13
m3.g-1.s-1
mL/(kg.min)
mL/kg/min
milliliter per kilogram and minute
respiratory volume rate per body mass
1.66666666666667 × 10-11
m3.g-1.s-1
mL/(min.m2)
mL/m2/min
milliliter per minute and square meter
volume per body surface area; oxygen consumption index
-Regenstrief Institute, Inc. and the Unified Codes for Units of Measures (UCUM) Organization are hereunder collectively referred to as "The Organization".
-
-Permission is hereby granted in perpetuity, without payment of license fees or royalties, to use, copy, or distribute the UCUM codes, UCUM Specification, and UCUM table (in all formats in which it is distributed by The Organization and the UCUM Organization) (collectively, the "Licensed Materials") for any commercial or non-commercial purpose, subject to the following terms and conditions:
-
+ The Unified Code for Units of Measure
+ is a code system intended to include
+ all
+ units of
+ measures being contemporarily used in international science,
+ engineering, and business. The purpose is to facilitate unambiguous
+ electronic communication of quantities together with their units. The
+ focus is on electronic communication, as opposed to communication
+ between humans. A typical application of
+ The Unified Code for Units of Measure
+ are electronic data
+ interchange (EDI) protocols, but there is nothing that prevents it
+ from being used in other types of machine communication.
+
+
+
+ The Unified Code for Units of Measure
+ is inspired by and heavily based on ISO 2955-1983, ANSI
+ X3.50-1986, and HL7's extensions called “ISO+”. The
+ respective ISO and ANSI standards are both entitled
+ “Representation of [...] units in systems with limited
+ character sets” where ISO 2955 refers to SI and other units
+ provided by ISO 1000-1981, while ANSI X3.50 extends ISO 2955 to
+ include U.S. customary units. Because these standards carry the
+ restriction of “limited character sets” in their names
+ they seem to be of less value today, when graphical user interfaces and
+ laser printers are in wide-spread use. For this reason, the european
+ standard ENV 12435 in its clause 7.3 declares ISO 2955 obsolete.
+
+
+
+
+ ENV 12435 is dedicated exclusively to the communication of
+ measurements between humans in display and print, and does not provide
+ codes that can be used in communication between systems. It does not
+ even provide a specification that would allow communication of units
+ from one system to the screen or printer of another system. The issue
+ about displaying units in the common style defined by the 9th
+ Conférence Générale des Poids et Mesures
+
+ (CGPM) in 1947 is not just the character set. Although the
+ Unicode
+ standard and its predecessor ISO/IEC 10646 is
+ the richest character set ever, it is still not enough to specify the
+ presentation of units, because there are important typographical
+ details such as superscripts, subscripts, roman and
+ italics.
+
+
+ Interestingly the authors of ENV 12435 forgot to include
+ superscripts in the minimum requirements as given by subclause 7.1.4
+ for which they do not specify an alternative.
+
+
+
+
+ The real value of the restriction on the character set and
+ typographical details, however, is not to cope with legacy systems and
+ less powerful technology, but to facilitate unambiguous communication
+ and interpretation of the meaning of units from one computer system to
+ another. In this respect, ISO 2955 and ANSI X3.50 are not
+ obsolete because there is no other standard that would fill in for
+ inter-systems communication of units. However, ISO 2599 and ANSI
+ X3.50 currently have severe defects:
+
+
+
+
+
+ ISO 2955 and ANSI X3.50 contain numerous name conflicts,
+ both direct conflicts (e.g., “
+ a
+ ” being used
+ for both “year” and “are”) and conflicts
+ that are generated through combination of unit symbols with prefixes
+ (e.g., “
+ cd
+ ” means candela and centi-day and
+ “
+ PEV
+ ” means peta-volt and pico-electronvolt.)
+
+
+
+
+
+
+ Neither ISO 2955 nor ANSI X3.50 cover all units that are
+ currently used in practice. There are many more units in use than what
+ is allowed by the
+ Système International
+ d'Unités
+ (SI) and accompanying standards. For example,
+ the older CGM-units dyne and erg are still used in the science of
+ physiology. Although ANSI X3.50 extends ISO 2955 with some
+ U.S. customary units, it is still not complete in this respect. For
+ example it does not define the degree Fahrenheit.
+
+
+
+
+
+ ANSI X3.50 is semantically ambiguous with respect to customary
+ units, even if we do not consider the history and international
+ aspects of customary units. Three systems of mass units are used in
+ the U.S., avoirdupois used generally, apothecaries' used by
+ pharmacists, and troy used in trade with Gold and other precious
+ metals. ANSI X3.50 has no way to select any one of those
+ specifically, which is bad in medicine, where both apothecaries' and
+ avoirdupois weights are being used frequently.
+
+
+
+
+
+ ISO 2955 and all standards that do only look for the resolutions
+ and recommendations of the CGPM and the
+ Comité
+ International des Poids et Mesures
+ (CIPM) as published by the
+ Bureau International des Poids et Mesures
+ (BIPM) and various
+ ISO standards (ISO 1000 and ISO 31) fail to recognize that
+ the needs in practice are often different from the ideal propositions
+ of the CGPM. Although not allowed by the CGPM and related ISO
+ standards, many other units are used in international sciences,
+ healthcare, engineering, and business, both meaningfully and some
+ units of questionable meaning. A coding system that is to be useful in
+ practice must cover the requirements and habits of the
+ practice—even some of the bad habits.
+
+
+
+ None of the current standards attempt to specify a semantics of units
+ that can be deployed in information systems with moderate
+ requirements. Metrological standards such as those published by the
+ BIPM are dedicated to maximal scientific correctness of reproducible
+ definitions of units. These definitions make sense only to human
+ specialists and can hardly be deployed to their full extent by any
+ information system that is not dedicated to metrology. On the other
+ hand, ISO 2955 and ANSI X3.50 provide no semantics at all for the
+ codes they define.
+
+
+ The Unified Code for Units of Measure
+ provides a single coding system for units that is complete,
+ free of all ambiguities, and that assigns to each defined unit a
+ concise semantics. In communication it is not only important that all
+ communicating parties have the same repertoir of symbols, but also that
+ all attach the same meaning to the symbols they exchange. The common
+ meaning must be computationally verifiable.
+ The Unified Code for Units of Measure
+ assumes a
+ semantics for units based on dimensional analysis.
+
+
+
+ A more extensive introduction into this semantics of units can be
+ found in: Schadow G, McDonald CJ et al: Units of Measure in Clinical
+ Information Systems;
+ JAMIA
+ 6(2); Mar/Apr 1999;
+ p. 151–162.
+
+
+
+
+
+
+
+ In short, each unit is defined relative to a system of base units by a
+ numeric factor and a vector of exponents by which the base units
+ contribute to the unit to be defined. Although we can reflect all the
+ meaning of units covered by dimensional analysis with this vector
+ notation, the following tables do not show these vectors. One reason
+ is that the vectors depend on the base system chosen and even on the
+ ordering of the base units. The other reason is that these vectors are
+ hard to understand to human readers while they can be easily derived
+ computationally. Therefore we define new unit symbols using algebraic
+ terms of other units. Those algebraic terms are also valid codes of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
+ Grammar of Units and Unit Terms
+
+
+ §1
+ preliminaries
+
+
+
+ ■1
+
+ The Unified Code for Units of Measure
+ consists of a basic set of terminal symbols for units, called
+ atomic unit symbols
+ or
+ unit atoms
+ , and multiplier
+ prefixes. It also consists of an expression syntax by which these
+ symbols can be combined to yield valid units.
+
+
+ ■2
+
+
+ The tables of terminal symbols are fixed as of every revision of
+ The Unified Code for Units of Measure
+ , additions, deletions or changes are
+ not
+ allowed.
+
+
+ ■3
+
+
+ All expression that can be derived from these terminal symbols and the
+ expression syntax are valid codes. Any expression of
+ The Unified Code for Units of Measure
+ has a
+ precisely defined semantics.
+
+
+
+
+ The expression syntax of
+ The Unified Code for Units of Measure
+ generates an infinite number of codes
+ with the consequence that it is impossible to compile a table of all
+ valid units.
+
+
+
+
+ That the tables of terminal symbols may not be extended does not mean
+ that missing symbols will never be available in
+ The Unified Code for Units of Measure
+ . Suggestions
+ for additions of new symbols are welcome and revisions of
+ The Unified Code for Units of Measure
+ will be released as soon as a change request has been approved.
+
+
+
+
+
+ §2
+ full and limited conformance
+
+
+
+ ■1
+
+
+ The semantics of
+ The Unified Code for Units of Measure
+ implies equivalence classes such that
+ different expressions may have the same meaning.
+
+
+ ■2
+
+
+ Programs that declare
+ full conformance
+ with
+ The Unified Code for Units of Measure
+ must
+ compare unit expressions by their semantics, i.e. they must detect
+ equivalence for different expressions with the same meaning.
+
+
+ ■3
+
+
+ Programs with
+ limited conformance
+ may compare unit expressions
+ literally and thus may not detect equivalence of unit expressions.
+
+
+
+
+ The option for “limited conformace” allows
+ The Unified Code for Units of Measure
+ to be adopted
+ even by less powerful systems that can not or do not want to deal with
+ the full semantics of units. Those systems typically have a table of
+ fixed unit expression literals that may be related to other literals
+ with fixed conversion factors. Although these systems will have
+ difficulties to receive unit expressions from various sources, they
+ will at least send out valid expressions of
+ The Unified Code for Units of Measure
+ , which is an
+ important step towards a commonly used coding scheme for units.
+
+
+
+
+ Character Set and Lexical Rules
+
+
+ §3
+ character set
+
+
+
+ ■1
+
+ All expressions of
+ The Unified Code for Units of Measure
+ shall be built from characters of
+ the 7-bit US-ASCII character set exclusively.
+
+
+ ■2
+
+ Terminal unit symbols can consist of all ASCII characters in
+ the range of 33–126 (0x21–0x7E) excluding
+
+ double quotes (‘
+ "
+ ’),
+ parentheses (‘
+ (
+ ’ and ‘
+ )
+ ’),
+ plus sign (‘
+ +
+ ’'),
+ minus sign (‘
+ -
+ ’'),
+ period (‘
+ .
+ ’'),
+ solidus (‘
+ /
+ ’'),
+ equal sign (‘
+ =
+ ’'),
+ square brackets (‘
+ [
+ ’
+ and ‘
+ ]
+ ’), and
+ curly braces (‘
+ {
+ ’ and ‘
+ }
+ ’),
+
+ which have special meaning.
+
+
+ ■3
+
+ A terminal unit symbol can not consist of only digits
+ (‘
+ 0
+ ’–‘
+ 9
+ ’) because
+ those digit strings are interpreted as positive integer
+ numbers. However, a symbol “
+ 10*
+ ” is allowed
+ because it ends with a non-digit allowed to be part of a symbol.
+
+
+ ■4
+
+ For every terminal symbol there is a case insensitive variant
+ defined, to be used when there is a risk of upper and lower case to be
+ confused. Although upper and lower case can be mixed in case
+ insensitive symbols there is no meaning to the case. Case insensitive
+ symbols are incompatible to the case senitive symbols.
+
+
+
+ The 7-bit US-ASCII character code is the greatest common denominator
+ that can be expected to be available in any communication environment.
+ Only very few units normally require symbols from the greek alphabet
+ and thus the cost of requiring Unicode does not outweigh the benefit.
+ As explained above, the real issue about writing unit terms naturally
+ is not the character set but the ability to write subscripts and
+ superscripts and distinguish roman letters from italics.
+
+
+
+ Some computer systems or programming languages still have the
+ requirement of case insensitivity and some humans who are not familiar
+ with SI units tend to confuse upper and lower case or can not
+ interpret the difference in upper and lower case correctly. For this
+ reason the case insensitive symbols are defined. Although
+ The Unified Code for Units of Measure
+
+ does not encourage use of case insensitive symbols where not
+ absolutely necessary, in some circumstances the case insensitive
+ representation may be the greatest common denominator. Thus some
+ systems that can handle case sensitivity may end up using case
+ insensitive symbols in order to communicate with less powerful
+ systems.
+
+
+
+
+ ISO 2955 and ANSI X3.50 call case sensitive symbols “mixed
+ case” and case insensitive symbols “single case” and
+ list two columns for “single case” symbols, one for upper
+ case and one for lower case. In
+ The Unified Code for Units of Measure
+ all units can be written in
+ mixed upper and lower case, but in the case insensitive variant the
+ mixing of case does not matter.
+
+
+
+ White space is not recognized in a a unit term and should generally
+ not occur. UCUM implementations may flag whitespace as an error
+ rather than ignore it. Whitespace is not used as a separator of
+ otherwise ambiguous parts of a unit term.
+
+
+
+
+ §4
+ prefixes
+
+
+
+ ■1
+
+ Metric units (cf.
+ §11
+ ) may be
+ combinations of a unit symbol with a prefix symbol.
+
+
+ ■2
+
+ The unit symbol to be combined with the prefix must not itself
+ contain a prefix. Such a prefix-less unit symbol is called
+ unit
+ atom
+ .
+
+
+ ■3
+
+ Prefix and atom are connected immediately without any
+ delimiter. Separation of an optional prefix from the atom occurs on
+ the lexical level by finding a matching combination of an optional
+ prefix and a unit atom.
+
+
+ ■4
+
+ The prefix is the longest leading substring that matches a
+ valid prefix where the remainder is a valid metric unit atom. If no
+ such prefix can be matched, the unit atom is without prefix and may be
+ both metric or non-metric.
+ [1–3: ISO 1000, 3; ISO 2955-1983, 3.7;
+ ANSI X3.50-1986, 3.7 (Rule No. 6).]
+
+
+
+ §5
+ square brackets
+
+
+
+ ■1
+
+ Square brackets (‘
+ [
+ ’ and
+ ‘
+ ]
+ ’) may be part of a
+ unit atom at any place but only as matched pairs. Square brackets are
+ lexical elements and not separate syntactical tokens.
+
+ ■2
+
+ Within a matching pair of square brackets the full range of
+ characters 33–126 can be used.
+
+
+
+ see the section about style in
+ §§12ff
+ , to find out
+ how square brackets are actually used. Note, however, that the user
+ has no choice about square bracket symbols, as these are fixed in the
+ list of atomic unit symbols.
+
+
+
+
+ ■3
+
+ Square brackets do
+ not
+ determine the boundary between
+ prefix and unit atom, but they never span the boundary of unit atoms.
+
+
+ ■4
+
+
+ Square brackets must not be nested.
+
+
+
+
+ For example
+ %
+ “
+ [abc+ef]
+ ”,
+ “
+ ab[c+ef]
+ ”,
+ “
+ [abc+]ef
+ ”, and
+ “
+ ab[c+ef]
+ ”
+ %
+ could all be valid symbols if defined in the tables.
+ In “
+ ab[c+ef]
+ ” either
+ “
+ a
+ ” or “
+ ab
+ ”
+ could be defined as a prefix, but not “
+ ab[c
+ ”.
+
+
+
+
+ Square brackets take on one task of round parentheses in HL7's
+ “ISO+” code, where one use of parentheses is to augment
+ unit symbols with suffixes, as in “
+ mm(Hg)
+ ”.
+ Another use is to enclose one full unit symbol into parentheses, as
+ “
+ (ka_u)
+ ” (for the King-Armstrong unit of
+ catalytic amount of phosphatase). Apparently, in a unit symbol such
+ enclosed one is supposed not to expect a prefix. Thus, even if
+ “
+ a_u
+ ” would have been defined,
+ “
+ (ka_u)
+ ” should not be matched against
+ kilo-
+ a_u
+ .
+
+
+
+
+ Parentheses, however, were also used for the nesting of terms since
+ HL7 version 2.3. At this point it became ambiguous whether parentheses
+ are part of the unit symbol or whether they are syntactic tokens. For
+ instance, “
+ (ka_u)
+ ” could mean a nested
+ “
+ ka_u
+ ” (where “
+ k
+ ”
+ could possibly be a prefix), but also the proper symbol
+ “
+ (ka_u)
+ ” that happens to have parentheses as
+ part of the symbol.
+ The Unified Code for Units of Measure
+ uses parentheses for the usual meaning of
+ term nesting and uses square brackets where HL7's “ISO+”
+ assumes parentheses to be part of the unit symbol.
+
+
+
+
+
+ §6
+ curly braces
+
+
+
+ ■1
+
+ The full range of characters 33–126 can be used within a
+ pair of curly braces (‘
+ {
+ ’ and
+ ‘
+ }
+ ’). The material enclosed in curly braces is
+ called
+ annotation
+ .
+
+
+ ■2
+
+
+ Annotations do not contribute to the semantics of the unit but are
+ meaningless by definition. Therefore, any fully conformant parser must
+ discard all annotations. Parsers of limited conformace
+ should
+
+ not value annotations in comparison of units.
+
+
+ ■3
+
+
+ Annotations do, however, signify the end of a unit symbol.
+
+
+ ■4
+
+ An annotation without a leading symbol implies the default
+ unit
+ 1
+ (the unity).
+
+
+ ■5
+
+
+ Curly braces must not be nested.
+
+
+
+ Curly braces are here because people want annotations and deeply
+ believe that they need annotations. Especially in chemistry and
+ biomedical sciences, there are traditional habits to write annotations
+ at units or instead of units, such as “%vol.”,
+ “RBC”, “CFU”, “kg(wet tis.)”, or
+ “mL(total)”. These habits are hard to overcome. Any
+ attempt of a coding scheme to restrict this percieved expressiveness
+ will ultimately result in the coding scheme not being adopted, or just
+ “half-way” adopted (which is as bad as not adopted).
+
+
+
+ Two alternative responses to this reality exist: either give in to the
+ bad habits and blow up of the code with dimension- and meaningless
+ unit atoms, or canalize this habit so that it does no harm.
+ The Unified Code for Units of Measure
+
+ canalizes this habit using curly braces. Nevertheless we do continuing
+ efforts to upgrade doubtful units to genuine units of
+ The Unified Code for Units of Measure
+ by
+ defining and linking them to the other units as good as
+ possible. Thus, “
+ g%
+ ” is a valid metric unit
+ atom (so that “
+ mg%
+ ” is a valid unit too.)
+ A
+ drops
+ , although quite imprecise, is a valid unit of volume
+ “
+ [drp]
+ ”. Even HPF and LPF (the so called
+ “high-” and “low power field” in the
+ microscope) have been defined so that at least they relate to each
+ other.
+
+
+
+
+
+ Syntax Rules
+
+
+ §7
+ algebraic unit terms
+
+
+
+ ■1
+
+ All units can be combined in an algebraic term using the
+ operators for multiplication (period ‘
+ .
+ ‘) and
+ division (solidus ‘
+ /
+ ’).
+
+ ■2
+
+ The multiplication operator is mandatory it must not be
+ omitted or replaced by a space. The multiplication operator is a
+ strict binary operator that may occur only
+ between two
+ unit
+ terms.
+
+ ■3
+
+ The division operator can be used as a binary and unary
+ operator, i.e. a leading solidus will invert the unit that directly
+ follows it.
+
+ ■4
+
+ Terms are evaluated from left to right with the period and the
+ solidus having the same operator precedence. Multiple division
+ operators are allowed within one term.
+ [ISO 1000, 4.5.2; ISO 2955-1983, 3.3f; ANSI X3.50-1986, 3.3f
+ (Rule No. 2f).]
+
+
+
+
+ The use of the period instead of the asterisk
+ (‘
+ *
+ ’) as a multiplication operator continues a
+ tradition codified in ISO 1000 and maintained in ISO 2955. Because
+ floating point numbers may not occur in unit terms the period is not
+ ambiguous. A period in a unit term has no other meaning than to be the
+ multiplication operator.
+
+
+
+
+ Since Resolution 7 of the 9th CGPM in 1948 the myth of ambiguity being
+ introduced by more than one solidus lives on and is quoted in all
+ standards concerning the writing of SI units. However, when the strict
+ left to right rule is followed there is no ambiguity, neither with one
+ solidus nor with more than one solidus. However, in human practice we
+ find the tendency to assign a lower precedence to the solidus which
+ misleads people to write
+ a
+ /
+ b
+ ·
+ c
+ when they
+ really mean
+ a
+ /(
+ b
+ ·
+ c
+ ). When this is
+ rewritten as
+ a
+ /
+ b
+ /
+ c
+ there is actually less
+ ambiguity that in
+ a
+ /
+ b
+ ·
+ c
+ . So the real
+ source of ambiguity is when a multiplication operator follows a
+ solidus, not when there is more than one solidus in a term. Hence, we
+ remove the restriction for only one solidus and introduce parentheses
+ which may be used to remove any perceived ambiguity.
+
+
+
+
+
+ §8
+ integer numbers
+
+
+
+ ■1
+
+ A positive integer number may appear in place of a simple unit
+ symbol.
+
+ ■2
+
+ Only a pure string of decimal digits
+ (‘
+ 0
+ ’–‘
+ 9
+ ’)
+ is interpreted as a number. If after one or more digits there is any
+ non-digit character found that is valid for unit atoms, all the
+ characters (including the digits) will be interpreted as a simple unit
+ symbol.
+
+
+
+
+ For example, the string “
+ 123
+ ” is a positive
+ integer number while “
+ 12a
+ ” is a symbol.
+
+
+
+
+ Note that the period is only used as a multiplication operator, thus
+ “
+ 2.5
+ ” means 2 × 5 and is not equal to 5/2.
+
+
+
+
+
+ §9
+ exponents
+
+
+
+ ■1
+
+ Simple units may be raised to a power. The exponent is an
+ integer number and is written immediately behind the unit
+ term. Negative exponents must be preceded by a minus sign
+ (‘
+ -
+ ’ positive exponents may be preceded by an
+ optional plus sign (‘
+ +
+ ’).
+
+ ■2
+
+ If the simple unit raised to a power is a combination of a
+ prefix and a unit atom, both are raised to the power, e.g. “1
+ cm3
+ ” equals “10
+ -6
+ m3
+ ” not “10
+ -2
+ m3
+ ”.
+ [ISO 2955-1983, 3.5f; ANSI X3.50-1986, 3.5f (Rule
+ No. 4f).]
+
+
+
+
+ ISO 2955 and ANSI X3.50 actually do not allow a plus sign leading a
+ positive exponent. However, if there can be any perceived ambiguities,
+ an explicit leading plus sign may be of help sometimes.
+ The
+ Unified Code for Units of Measures
+ therefore allows such plus signs
+ at exponents. The plus sign on positive exponents can be used to
+ delimit exponents from integer numbers used as simple units. Thus,
+ 2+10
+ means 2
+ 10
+ = 1024.
+
+
+
+
+
+ §10
+ nested terms
+
+
+
+ ■1
+
+ Unit terms with operators may be enclosed in parentheses
+ (‘
+ (
+ ’ and ‘
+ )
+ ’) and used
+ in place of simple units. Normal left-to-right evaluation can be
+ overridden with parentheses.
+
+ ■2
+
+ Parenthesized terms are
+ not
+ considered unit atoms
+ and hence must not be preceded by a prefix.
+
+
+
+
+ Up until revision 1.9 there was a third clause
+ “Since a unit term in parenthesis can be used in place of
+ a simple unit, an exponent may follow on a closing parenthesis which
+ raises the whole term within the parentheses to the power.”
+ However this feature was inconsistent with any BNF or other syntax
+ description ever provided, was never used and seems to have no
+ relevant use case. For this reason this clause has been stricken.
+ This is a
+ tentative
+ change. Users who have used this
+ feature in the past, should please comment on this deprecation.
+ If we receive indication that this feature was used by anyone, we
+ would undo the deprecation. If no comments are received, the
+ deprecation continues to take effect.
+
+
+
+ §11
+ metric and non-metric unit atoms
+
+
+
+ ■1
+
+ Only metric unit atoms may be combined with a prefix.
+
+
+ ■2
+
+ To be metric or not to be metric is a predicate assigned to
+ each unit atom where that unit atom is defined.
+
+
+ ■3
+
+ All base units are metric. No non-metric unit can be part of
+ the basis.
+
+
+ ■4
+
+ A unit must be a quantity on a ratio scale in order to be
+ metric.
+
+
+
+ The metric predicate accounts for the fact that there are units that
+ are prefixed and others that are not. This helps to disambiguate the
+ parsing of simple units into prefix and atom.
+
+
+ To determine whether a given unit atom is metric or not is not
+ trivial. It is a cultural phenomenon, subject to change, just like
+ language, the meaning of words and how words can be used. At one time
+ we can clearly tell right or wrong useage of words, but these
+ decisions may need to be revised with the passage of time.
+
+
+ Generally, metric units are those defined “in the spirit”
+ of the metric system, that emerged in France of the 18th century and
+ was rapidly adopted by scientists. Metric units are usually based on
+ reproducible natural phenomena and are usually not part of a system of
+ compareable units with different magintudes, especially not if the
+ ratios of these units are not powers of 10. Instead, metric units use
+ multiplier prefixes that magnify or diminish the value of the unit
+ by powers of ten.
+
+
+ Conversely, customary units are in the spirit of the middle age as
+ most of them can be traced back into a time around the 10th century,
+ some are even older from the Roman and Babylonian empires. Most
+ customary units are based on the average size of human anatomical or
+ botanic structures (e.g., foot, ell, fathom, grain, rod) and come in
+ series of comparable units with ratios 1/2, 1/4, 1/12, 1/16, and
+ others. Thus all customary units are non-metric
+
+
+ Not all units from ISO 1000 are metric as degree, minute and second of
+ plane angle are non-metric as well as minute, hour, day, month, and
+ year. The second is a metric unit because it is a part of the SI
+ basis, although it used to be part of a series of customary units
+ (originating in the Babylonian era).
+
+
+
+ Furthermore, for a unit to be metric it must be a quantity on a ratio
+ scale where multiplication and division with scalars are defined. The
+ Comité Consultatif d'Unités
+ (CCU) decided
+ in February 1995 that SI prefixes may be used with the degree
+ Celsius. This statement has not been made explicitly before. This is
+ an unfortunate decision because difference-scale units like the degree
+ Celsius have no multiplication operation, so that the prefix value
+ could be multiplied with the unit. Instead the prefix at non-ratio
+ units scales the measurement value. One dekameter is 10 times of a
+ meter, but there is no meaning to 10 times of 1 °C in the
+ same way as 30 °C are not 3 times as much as
+ 10 °C. See
+ §§21ff
+ on how
+ The Unified Code for Units of Measure
+ finds a
+ way to accomodate this different use of prefixes at units such as the
+ degree Celsius, bel or neper.
+
+
+
+
+
+ Style
+
+
+
+ Except for the rule on curly braces (
+ §12
+ ), the
+ rules on style govern the creation of the tables of unit atoms not
+ their individual use. Users of
+ The Unified Code for Units of Measure
+ need not care about style rules
+ (
+ §§13–15
+ ) because users
+ just use the symbols defined in the tables. Hence, style rules do not
+ affect conformance to
+ The Unified Code for Units of Measure
+ . New submissions of unit atoms, however,
+ must conform to the style rules.
+
+
+
+
+
+ §12
+ curly braces
+
+
+
+ ■1
+
+
+ Curly braces may be used to enclose annotations that are often written
+ in place of units or behind units but that do not have a proper
+ meaning of a unit and do not change the meaning of a unit.
+
+
+ ■2
+
+
+ Annotations have no semantic value.
+
+
+
+
+ For example one can write “
+ %{vol}
+ ”,
+ “
+ kg{total}
+ ”, or “
+ {RBC}
+ ”
+ (for “red blood cells”) as pseudo-units. However, these
+ annotations do not have any effect on the semantics, which is why
+ these example expressions are equivalent to
+ “
+ %
+ ”, “
+ kg
+ ”, and
+ “
+ 1
+ ” respectively.
+
+
+
+
+
+ §13
+ underscore
+
+
+
+ ■1
+
+ When in print a unit would have a subscript, an underscore
+ (‘
+ _
+ ’) is used to separate the subscript from
+ the stem of the unit symbol.
+
+ ■2
+
+
+ The subscript is part of the unit atom.
+
+
+ ■3
+
+ subscripts are used to disambiguate the two units with the
+ same name but different meanings.
+
+
+
+
+ For example when distinguishing the International Table calorie from
+ the thermochemical calorie, we would use 1 cal
+ IT
+ or
+ 1 cal
+ th
+ in print.
+ The Unified Code for Units of Measure
+ defines the symbols
+ “
+ cal_IT
+ ” and
+ “
+ cal_th
+ ” with the underscore signifying that
+ “IT” and “th” are subscripts. Other examples
+ are the distinctions between the Julian and Gregorian calendar year
+ from the tropical year or the british imperial gallon from the U.S.
+ gallon (see
+ §31
+ and
+ §§37ff
+ ).
+
+
+
+
+
+ §14
+ square brackets
+
+
+
+ ■1
+
+ Square brackets enclose suffixes of unit symbols that change
+ the meaning of a unit stem.
+
+
+ ■2
+
+ All customary units shall be enclosed completely by square
+ brackets.
+
+
+ ■3
+
+
+ Other unit atoms shall be enclosed in square brackets if they are very
+ rare, if they will conflict with other units, or if they are normally
+ not used as a unit symbol but do have a proper meaning as a unit in
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ Square brackets are part of the unit atom.
+
+
+
+
+ For example 1 m H
+ 2
+ O is written as
+ “
+ m[H2O]
+ ” in
+ The Unified Code for Units of Measure
+ because the suffix
+ H
+ 2
+ O changes the meaning of the unit atom for meter (length)
+ to a unit of pressure.
+
+
+
+
+ Customary units are defined in
+ The Unified Code for Units of Measure
+ in order to accomodate
+ practical needs. However metric units are still prefered and the
+ customary symbols should not interfere with metric symbols in any
+ way. Thus, customary units are “stigmatized” by enclosing
+ them into square brackets.
+
+
+
+
+ If unit symbols for the purpose of display and print are derived from
+ The Unified Code for Units of Measure
+ units, the square brackets can be removed. However, display
+ units are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
+
+ §15
+ apostrophe
+
+
+
+ ■1
+
+
+ The apostrophe (‘
+ '
+ ’) is used to separate words
+ or abbreviated words in a multi-word unit symbol.
+
+
+ ■2
+
+
+ Since units are mathematically defined symbols and not abbreviations
+ of words, multi-word unit symbols should be defined only to reflect
+ existing habits, not in order to create new ones.
+
+
+ ■3
+
+
+ Multi-word units should always be enclosed in square brackets.
+
+
+
+
+ For example, such legacy units called “Bodansky unit” or
+ “Todd unit” have the unit symbols
+ “
+ [bdsk'U]
+ ”, and
+ “
+ [todd'U]
+ ” respectively.
+
+
+
+
+
+
+ Semantics
+
+
+ §16
+ preliminaries
+
+
+
+ ■1
+
+ The semantics of
+ The Unified Code for Units of Measure
+ is defined by the algebraic
+ operations of multiplication, division and exponentiation between
+ units, by the equivalence relations of equality and commensurability
+ of units, and by the multiplication of a unit with a scalar.
+
+
+ ■2
+
+ Every expression in
+ The Unified Code for Units of Measure
+ is mapped to one and only one
+ semantic element. But every semantic element may have more than one
+ valid representant in
+ The Unified Code for Units of Measure
+ .
+
+
+ ■3
+
+
+ The set of expressions in
+ The Unified Code for Units of Measure
+ is infinite.
+
+
+
+ §17
+ equality and commensurability
+
+
+
+ ■1
+
+ The set of expressions in
+ The Unified Code for Units of Measure
+ has two binary, symmetric,
+ reflexive, and transitive relations (equivalence relations)
+ “equals” = and “is commensurable with”
+ ~. All expressions that are equal are also commensurable but not
+ all commensurable expressions are equal.
+
+
+
+ §18
+ algebra of units
+
+
+
+ ■1
+
+ The equivalence classes generated by the equality relation =
+ are called
+ units
+ .
+
+
+ ■2
+
+ The set of units
+ U
+ has a binary multiplication operator
+ · that is associative and commutative and has the neutral
+ element
+ 1
+ (so called
+ the unity
+ ). For each unit
+ u
+ ∈
+ U
+ there is an inverse unit
+ u
+ -1
+ such that
+ u
+ ·
+ u
+ -1
+ =
+ 1
+ . Thus, (
+ U
+ , ·) is
+ an Abelian group.
+
+
+ ■3
+
+ The division operation
+ u
+ /
+ v
+ is defined as
+ u
+ ·
+ v
+ -1
+ .
+
+ ■4
+
+ The exponentiation operation with integer exponents
+ n
+
+ is defined as
+ u
+
+ n
+
+ =
+ Π
+ 1
+ n
+ u
+ .
+
+
+ ■5
+
+
+ The product
+ u
+ ' =
+ r
+ u
+ of a real number scalar
+
+ with the unit
+ u
+ is also a
+ unit, where
+ u
+ ' ~
+ u
+ .
+
+
+
+ §19
+ dimension and magnitude
+
+
+
+ ■1
+
+ The equivalence classes generated by the commensurability
+ relation ~ are called
+ dimensions
+ . The set
+ D
+
+ of dimensions is infinite in principle, but only a finite subset of
+ dimensions are used in practice. Thus, implementations of
+ The Unified Code for Units of Measure
+ need
+ not be able to represent the infinite set of dimensions.
+
+
+ ■2
+
+
+ Two commensurable units that are not equal differ only by their
+ magnitude.
+
+
+ ■3
+
+ The quotient
+ u
+ /
+ v
+ of any two commensurable
+ units
+ u
+ ~
+ v
+ is of the same dimension as the
+ unity (
+ u
+ /
+ v
+ ~
+ 1
+ ). This quotient is
+ also equal to the unity multiplied with a scalar
+ r
+
+ :
+ u
+ /
+ v
+ =
+ r
+ 1
+ ,
+ where
+ r
+ is called the
+ relative magnitude
+ of
+ u
+ regarding
+ v
+ .
+
+
+
+ §20
+ base units
+
+
+
+ ■1
+
+
+ Any system of units is constructed from a finite set
+ B
+ of
+ mutually independent base units
+ B
+ = {
+ b
+ 1
+ ,
+ b
+ 2
+ , ...,
+ b
+
+ n
+
+ }, on which any other unit
+ u
+
+ ∈
+ U
+ is defined as
+ u
+ =
+ r
+ 1
+ b
+ 1
+
+ u
+ 1
+
+ ·
+ r
+ 2
+ b
+ 2
+
+ u
+ 2
+
+ ·
+ ... ·
+ r
+
+ n
+
+ b
+
+ n
+
+
+ u
+
+ n
+
+
+ ,
+ where
+ r
+ =
+ r
+ 1
+ ·
+ r
+ 2
+
+ ·· ·
+ r
+
+ n
+
+ is called the
+ magnitude
+ of the unit
+ u
+ regarding
+ B
+ .
+
+
+ ■2
+
+
+ With respect to a basis
+ B
+ every unit can thus be
+ represented as a pair (
+ r
+ ,
+ û
+ ) of magnitude
+ r
+
+ and dimension
+ û
+ =
+ (
+ u
+ 1
+ ,
+ u
+ 2
+ , ...,
+ u
+
+ n
+
+ ).
+
+
+ ■3
+
+
+ Two sets of base units are equivalent if there is an isomorphism
+ between the sets of units that they generate.
+
+
+
+ §19
+ .1 allows to limit the set of
+ supported dimensions. Most practically used units contain exponents of
+ -4 to +4.
+ Thus if memory is
+ limited, 4 bit per component of the dimension vector could be
+ sufficient.
+
+
+
+
+ Special Units on non-ratio Scales
+
+
+ §21
+ special units
+
+
+
+ ■1
+
+
+ Those symbols that are used as units that imply a measurement on a
+ scale other than a ratio scale (e.g., interval scale, logarithmic
+ scale) are defined differently. These do not represent proper units as
+ elements of the group (
+ U
+ ,·). Therefore those special
+ semantic entities are called
+ special units
+ , as opposed to
+ proper units
+ . The set of special units is denoted
+ S
+ , where
+ S
+ ∩
+ U
+ = {}.
+
+
+ ■2
+
+
+ A special unit
+ s
+ ∈
+ S
+ is defined as
+ the triple (
+ u
+ ,
+ f
+
+ s
+
+ ,
+ f
+
+ s
+
+ -1
+ ) where
+ u
+
+ ∈
+ U
+ is the “corresponding” proper unit of
+ s
+ and where
+ f
+
+ s
+
+ and
+ f
+
+ s
+
+ -1
+ are mutually inverse
+ real functions converting the measurement value to and from the
+ special unit.
+
+
+ ■3
+
+
+ Although not elements of
+ U
+ , special units are said to be
+ “of the same dimension” or “commensurable
+ with” their corresponding proper unit
+ u
+ and the class
+ of units commensurable with
+ u
+ . This can be expressed by means
+ of a binary, symmetric, transitive and reflexive relation ≈
+ on
+ U
+ ∪
+ S
+ .
+
+
+
+
+ The functions
+ f
+
+ s
+
+ and
+ f
+
+ s
+
+ -1
+ are applied as follows: let
+ r
+
+ s
+
+ be the numeric measurement value
+ expressed in the special unit
+ s
+ and let
+ m
+ be the
+ corresponding dimensioned quantity, i.e., the measurement with proper
+ unit
+ u
+ . Now,
+ r
+
+ s
+
+ =
+ f
+
+ s
+
+ (
+ m
+ /
+ u
+ ) converts the proper
+ measurement to the special unit and
+ m
+ =
+ f
+
+ s
+
+ -1
+ (
+ r
+
+ s
+
+ )
+ ×
+ u
+ does the inverse.
+
+
+
+
+
+ §22
+ operations on special units
+
+
+
+ ■1
+
+
+ In theory, special units cannot take part in any algebraic operations,
+ neither involving other units, nor themselves (exponentiation) nor
+ involving scalars.
+
+
+ ■2
+
+
+ Special units are therefore non-metric units.
+
+
+ ■3
+
+
+ However, due to the requirement of the SI that does allow prefixes on
+ the degree Celsius, special units may be
+ scaled
+ trough a prefix
+ or an arbitrary numeric factor.
+
+
+ ■4
+
+ The scale factor
+ α
+
+ is an
+ additional component of the special unit, which in turn is defined by
+ a quadruple
+ s
+ = (
+ u
+ ,
+ f
+
+ s
+
+ ,
+ f
+
+ s
+
+ -1
+ ,
+ α
+ ). When the
+ functions
+ f
+
+ s
+
+ and
+ f
+
+ s
+
+ -1
+ are applied to a measurement value
+ x
+ to convert to and from the special unit the scale factor is
+ applied as follows:
+ x
+ ' =
+ f
+
+ s
+
+ (
+ x
+ ) /
+ α
+ converts from
+ x
+ expressed in the corresponding
+ proper unit to
+ x
+ ' in terms of the special unit and
+ x
+ =
+ f
+
+ s
+
+ -1
+ (
+ α
+ x
+ ') does
+ the reverse.
+
+
+ ■5
+
+
+ Multiplication of a special unit
+ s
+ = (
+ u
+ ,
+ f
+
+ s
+
+ ,
+ f
+
+ s
+
+ -1
+ ,
+ α
+ ) with a
+ scalar
+ β
+
+ is defined as
+ β
+ s
+ = (
+ u
+ ,
+ f
+
+ s
+
+ ,
+ f
+
+ s
+
+ -1
+ ,
+ β
+ α
+ ). Multiplication of a special unit
+ s
+ with a
+ dimensionless unit
+ r
+ 1
+ is defined as
+ r
+ s
+ .
+
+
+
+ Since prefixes have a scalar value that multiplies the unit atom, a
+ unit must at least have a defined multiplication operation with a
+ scalar in order to be a candidate for the metric predicate. All proper
+ units are candidates for the metric property, special units are no
+ such candidates.
+
+
+
+ The
+ Comité Consultatif d'Unités
+ (CCU)
+ decided in February 1995 that any SI prefix may be used with degree
+ Celsius. This statement has not been made explicitly before. This is
+ an unfortunate decision because difference-scale units like the degree
+ Celsius have no multiplication operation, so that the prefix value
+ could be multiplied with the unit. Instead the prefix at non-ratio
+ units scales the measurement value. One wonders why the CGPM keeps the
+ celsius temperature in the SI as it is superfluous and in a unique way
+ incoherent with the SI.
+
+
+
+
+ The scale factor
+ α
+ is applied with the functions
+ f
+
+ s
+
+ and
+ f
+
+ s
+
+ -1
+
+ as follows: let
+ r
+
+ s
+
+ be the numeric measurement
+ value expressed in the special unit
+ s
+ and let
+ m
+ be the
+ corresponding dimensioned quantity, i.e., the measurement with proper
+ unit
+ u
+ . Now,
+ r
+
+ s
+
+ =
+ f
+
+ s
+
+ (
+ m
+ /
+ u
+ ) /
+ α
+
+ converts the proper measurement to the special unit and
+ m
+ =
+ f
+
+ s
+
+ -1
+ (
+ α
+ r
+
+ s
+
+ ) ×
+ u
+ does the reverse.
+
+
+
+
+
+ §23
+ definition of special units
+
+
+
+ ■1
+
+
+ Special units are marked in the definition tables for unit atoms by a
+ bullet (‘•’) in the column titled “value”
+ and a special expression in the column titled
+ “definition”. The BNF for the special expression is <
+ special-unit
+ > ::= <
+ function-symbol
+ >“
+ (
+ ”<
+ floating-point-number
+ >“
+
+ ”<
+ term
+ >“
+ )
+ ” The function symbols are defined as
+ needed.
+
+
+ ■2
+
+
+ Special expressions are
+ not
+ valid expressions in
+ The Unified Code for Units of Measure
+ ,
+ they are
+ only
+ used for defining special units.
+
+
+
+ Arbitrary Units
+
+
+ §24
+ arbitrary units
+
+
+
+ ■1
+
+
+ Arbitrary or procedure defined units are units whose meaning entirely
+ depends on the measurement procedure (assay). These units have no
+ general meaning in relation with any other unit in the SI. Therefore those arbitrary
+ semantic entities are called
+ arbitrary units
+ , as opposed to
+ proper units
+ . The set of arbitrary units is denoted
+ A
+ , where
+ A
+ ∩
+ U
+ = {}.
+
+
+ ■2
+
+
+ An arbitrary unit has no further definition in the semantic framework of
+ The Unified Code for Units of Measure
+
+ ■3
+
+
+ Arbitrary units are not “of any specific dimension” and are
+ not “commensurable with” any other unit.
+
+
+
+
+ Until version 1.6
+ The Unified Code for Units of Measure
+ has dealt with arbitrary units as dimensionless,
+ but as an effect the semantics of
+ The Unified Code for Units of Measure
+ made all arbitrary units
+ commensurable. Since version 1.7 of
+ The Unified Code for Units of Measure
+ it is no longer possible to
+ convert or compare arbitrary units with any other arbitrary unit.
+
+
+
+
+
+ §25
+ operations on arbitrary units
+
+
+
+ ■1
+
+
+ Any term involving arbitrary units, is itself an arbitrary unit and is not
+ comparable with any other arbitrary unit or term.
+
+
+
+ §26
+ definition of arbitrary units
+
+
+
+ ■1
+
+
+ Arbitrary units are marked in the definition tables for unit atoms by a
+ bullet (‘•’) in the column titled “value”
+ and a bullet in the column titled “definition”.
+
+
+
+
+ Tables of Terminal Symbols
+
+ Prefixes
+
+
+ §27
+ prefixes
+
+
+
+ ■1
+
+
+ Prefix symbols are those defined in
+
+ .
+
+
+ ■2
+
+ There are five columns titled “name,”
+ “print,” “c/s,” “c/i,” and
+ “value” The name is the full (official) name of the
+ unit. The official symbol used in print this is listed in the column
+ “print” “C/s,” and “c/i” list the
+ symbol in the case sensitive and the case insensitive variants
+ respectively. “Value” is the scalar value by which the
+ unit atom is multiplied if combined with the prefix.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,” and
+ “value,” are normative. Full name and print symbol are
+ defined by the CGPM and are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
+ The case insensitive prefix symbols are slightly different from those
+ defined by ISO 2955 and ANSI X3.50, where “giga-,”
+ “tera-,” and “peta-” have been
+ “
+ G
+ ,” “
+ T
+ ,” and
+ “
+ PE
+ .”
+ The Unified Code for Units of Measure
+ has a larger set of unit atoms
+ and needs to prevent more name conflicts. Tera and giga have a second
+ letter to be safe in the future. The change of
+ “
+ PE
+ ” to “
+ PT
+ ” would
+ be the way to go for ISO 2955 which currently has a name conflict
+ (among others) with peta-volt and pico-electronvolt.
+
+
+
+ The new prefixes “yotta-,” “zetta-,”
+ “yocto-,” and “zepto-” that were adopted by
+ the 19th CGPM (1990) have a second letter ‘A’ and
+ ‘O’ resp. to avoid current and future conflicts and to
+ disambiguate among themselves. The other submultiples
+ “micro-” to “atto-” are represented by a
+ single letter to keep with the tradition.
+
+
+
+
+
name
+
print
+
c/s
+
c/i
+
value
+
+
The prefix symbols
+
+
yotta
+
Y
+
+ Y
+
+
+ YA
+
+
+ 1 × 10
+ 24
+
+
+
+
zetta
+
Z
+
+ Z
+
+
+ ZA
+
+
+ 1 × 10
+ 21
+
+
+
+
exa
+
E
+
+ E
+
+
+ EX
+
+
+ 1 × 10
+ 18
+
+
+
+
peta
+
P
+
+ P
+
+
+ PT
+
+
+ 1 × 10
+ 15
+
+
+
+
tera
+
T
+
+ T
+
+
+ TR
+
+
+ 1 × 10
+ 12
+
+
+
+
giga
+
G
+
+ G
+
+
+ GA
+
+
+ 1 × 10
+ 9
+
+
+
+
mega
+
M
+
+ M
+
+
+ MA
+
+
+ 1 × 10
+ 6
+
+
+
+
kilo
+
k
+
+ k
+
+
+ K
+
+
+ 1 × 10
+ 3
+
+
+
+
hecto
+
h
+
+ h
+
+
+ H
+
+
+ 1 × 10
+ 2
+
+
+
+
deka
+
da
+
+ da
+
+
+ DA
+
+
+ 1 × 10
+ 1
+
+
+
+
deci
+
d
+
+ d
+
+
+ D
+
+
+ 1 × 10
+ -1
+
+
+
+
centi
+
c
+
+ c
+
+
+ C
+
+
+ 1 × 10
+ -2
+
+
+
+
milli
+
m
+
+ m
+
+
+ M
+
+
+ 1 × 10
+ -3
+
+
+
+
micro
+
μ
+
+ u
+
+
+ U
+
+
+ 1 × 10
+ -6
+
+
+
+
nano
+
n
+
+ n
+
+
+ N
+
+
+ 1 × 10
+ -9
+
+
+
+
pico
+
p
+
+ p
+
+
+ P
+
+
+ 1 × 10
+ -12
+
+
+
+
femto
+
f
+
+ f
+
+
+ F
+
+
+ 1 × 10
+ -15
+
+
+
+
atto
+
a
+
+ a
+
+
+ A
+
+
+ 1 × 10
+ -18
+
+
+
+
zepto
+
z
+
+ z
+
+
+ ZO
+
+
+ 1 × 10
+ -21
+
+
+
+
yocto
+
y
+
+ y
+
+
+ YO
+
+
+ 1 × 10
+ -24
+
+
+
+
+
+ Base Units
+
+
+ §28
+ base units
+
+
+
+ ■1
+
+ The base units shown in
+
+ are used to
+ define all the unit atoms of
+ The Unified Code for Units of Measure
+ according to its grammar and
+ semantics.
+
+
+ ■2
+
+ There are five columns titled “name,” “kind
+ of quantity,” “print,” “c/s,” and
+ “c/i.” The name is the full (official) name of the
+ unit. The official symbol used in print this is listed in the column
+ “print” “C/s,” and “c/i” list the
+ symbol in the case sensitive and the case insensitive variants
+ respectively.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” and “c/i,” are
+ normative. Full name and print symbol are defined by other bodies and
+ are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+ The selection of base units and the particular order are not
+ normative. Any other basis
+ B
+ ' that generates an
+ isomorphic group of units is conformant with
+ The Unified Code for Units of Measure
+ .
+
+
+ ■5
+
+
+ If the other base
+ B
+ ' generates a different system of units
+ U
+ ' it conforms to
+ The Unified Code for Units of Measure
+ only if there is an homomorphism that maps
+ U
+ ' onto
+ U
+ .
+
+
+ ■6
+
+
+ Base units must be metric units only. Special units can not be base
+ units.
+
+
+
+
+ As can be seen the base system used to define
+ The Unified Code for Units of Measure
+ is different
+ from the system used by the
+ Système International
+ d'Unités
+ (SI) The SI base unit kilogram has been
+ replaced by gram and the mole has been replaced by the radian that is
+ defined dimensionless in the SI. Because of the latter change
+ The Unified Code for Units of Measure
+
+ is not isomorphic with the SI.
+
+
+
+ The replacement of the kilogram is trivial. In order to bring syntax
+ and semantics in line we can not have a unit with prefix in the
+ base. We need a valid unit of mass before we can combine it with the
+ prefix “kilo-” This change does not have any effect on the
+ semantics whatsoever. The base unit kilogram is one of the oddities
+ of the SI: if the gram would have been chosen as a base units the CGPM
+ could have saved the rather annoying exception of the prefixing rules
+ with the kilogram. At times where we have to multiply the wavelength
+ of excited krypton-86 atoms by 1650763.73 to yield one meter, it seems
+ trivial to divide the prototype of the kilogram by thousand to yield a
+ base unit gram.
+
+
+ The rationale for removing the mole from the base is that the mole is
+ essentially a count of particles expressed in a unit of very high
+ magnitude (Avogadro's number). There is no fundamental difference
+ between the count of particles and the count other things.
+
+
+
+ The radian has been adopted as the base unit of plane angle
+ α
+ to facilitate the distinction from the solid angle
+ Ω
+ by the relation
+ Ω
+ =
+ α
+ 2
+ and to distinguish rotational frequency
+ f
+ from angular velocity
+ ω
+ = 2
+ π
+ ·
+ rad ·
+ f
+ .
+
+
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
+
+ The base units upon which the semantics of all the unit
+ atoms in
+ The Unified Code for Units of Measure
+ are defined. The selection of the base and the order
+ of the units in the base are not normative. Any other base is
+ acceptable as long as there is an isomorphism between the group of
+ units generated by the other base system and this one. All base units
+ are metric.
+
+
+
meter
+
length
+
m
+
+ m
+
+
+ M
+
+
+
+
second
+
time
+
s
+
+ s
+
+
+ S
+
+
+
+
gram
+
mass
+
g
+
+ g
+
+
+ G
+
+
+
+
radian
+
plane angle
+
rad
+
+ rad
+
+
+ RAD
+
+
+
+
kelvin
+
temperature
+
K
+
+ K
+
+
+ K
+
+
+
+
coulomb
+
electric charge
+
C
+
+ C
+
+
+ C
+
+
+
+
candela
+
luminous intensity
+
cd
+
+ cd
+
+
+ CD
+
+
+
+
+
+ Derived Unit Atoms
+
+
+ §29
+ dimensionless units
+
+
+
+ ■1
+
+
+ Dimensionless unit atoms are defined in
+
+ .
+
+
+ ■2
+
+ There are seven columns titled “name,”
+ “print,” “c/s,” “c/i,”
+ “M,” “value,” and “definition.”
+ The name is the full (official) name of the unit. The symbol
+ recommended for use in print this is listed in the column
+ “print.” “C/s,” and “c/i” list the
+ symbol in the case sensitive and the case insensitive variants
+ respectively.
+ The column “M” specifies whether this is a
+ metric unit.
+ The definition is a valid case sensitive expression of
+ The Unified Code for Units of Measure
+ that defines the unit atom.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ The units named “parts per
+ N
+ ” are provided to be used
+ where absolutely nessecary but are not endorsed. Especially
+ “ppb” and “pptr” are deprecated since
+ “billion” and “trillion” are ambiguous names
+ internationally. The explicit powers of ten should be given instead.
+
+
+
+
name
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
+ Dimensionless units. The units ppb and ppt are deprecated
+ because the names “billion” and “trillion” are
+ ambiguous. The expression “
+ 10*-9
+ ” or
+ “
+ 10*-12
+ ” should be used instead. When the
+ units percent or “parts per
+ N
+ ” are used for
+ concentrations specific units are prefered, e.g.,
+ “
+ ug/l
+ ” for mass concentration. The expression
+ “
+ ug/kg
+ ” for ppb is also valid.
+
+
+
+
the number ten for arbitrary powers
+
+ 10
+ n
+
+
+ 10*
+
+
+ 10*
+
+
no
+
10
+
+ 1
+
+
+
+
the number ten for arbitrary powers
+
+ 10
+ n
+
+
+ 10^
+
+
+ 10^
+
+
no
+
10
+
+ 1
+
+
+
+
the number pi
+
π
+
+ [pi]
+
+
+ [PI]
+
+
no
+
π
+
+ 1
+
+
+
+
percent
+
%
+
+ %
+
+
+ %
+
+
no
+
1
+
+ 10*-2
+
+
+
+
parts per thousand
+
ppth
+
+ [ppth]
+
+
+ [PPTH]
+
+
no
+
1
+
+ 10*-3
+
+
+
+
parts per million
+
ppm
+
+ [ppm]
+
+
+ [PPM]
+
+
no
+
1
+
+ 10*-6
+
+
+
+
parts per billion
+
ppb
+
+ [ppb]
+
+
+ [PPB]
+
+
no
+
1
+
+ 10*-9
+
+
+
+
parts per trillion
+
pptr
+
+ [pptr]
+
+
+ [PPTR]
+
+
no
+
1
+
+ 10*-12
+
+
+
+
+
+
+ The notation “
+ 10*
+ ” for powers of ten
+ originated in the HL7 “ISO+“ extension of ISO 2955.
+ In HL7 the character carat (‘
+ ^
+ ’) was thought as
+ reserved. Since most people would expect to see
+ “
+ 10^3
+ ” for the “third power of
+ ten” and might in fact confuse “
+ 10*3
+ ”
+ to mean “ten times 3”, the symbol using the carat was
+ later added to
+ The Unified Code for Units of Measure
+ .
+
+
+
+
+
+ §30
+ SI units
+
+
+
+ ■1
+
+
+ SI units are defined by the international
+ Conférence
+ Générale des Poids et Mesures
+ (CGPM).
+ The Unified Code for Units of Measure
+ definitions
+ for those units are given in
+
+ .
+
+
+ ■2
+
+ There are seven columns titled “name,”
+ “print,” “c/s,” “c/i,”
+ “M,” “value,” and “definition.”
+ The name is the full (official) name of the unit. The symbol
+ recommended for use in print this is listed in the column
+ “print.” “C/s,” and “c/i” list the
+ symbol in the case sensitive and the case insensitive variants
+ respectively.
+ The column “M” specifies whether this is a
+ metric unit.
+ The definition
+ is a valid case sensitive expression of
+ The Unified Code for Units of Measure
+ that defines the unit
+ atom.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are defined by the CGPM and are
+ out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ The function pair denoted “
+ cel(1 K)
+ ” is
+ defined as
+ f
+ C
+ (
+ x
+ ) =
+ x
+ - 273.15 to
+ convert from kelvin to degree Celsius, and
+ f
+ C
+ -1
+ (
+ x
+ ) =
+ x
+ + 273.15 to
+ convert from degree Celsius back to kelvin.
+
+
+
+
+ The case insensitive symbol for pascal is
+ “
+ PAL
+ ” which conforms to ISO 2955 and prevents
+ the name conflict between pascal and pico-ampère.
+
+
+
+ Without reference to history, it is difficult to explain that the
+ degree Celsius is part of the SI, because the degree Celsius is in a
+ unique way incoherent with the SI, and is even superfluous since the
+ base unit kelvin measures the same kind of quantity.
+
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
SI units
+
+
mole
+
amount of substance
+
mol
+
+ mol
+
+
+ MOL
+
+
yes
+
6.02214076
+
+ 10*23
+
+
+
+
steradian
+
solid angle
+
sr
+
+ sr
+
+
+ SR
+
+
yes
+
1
+
+ rad2
+
+
+
+
hertz
+
frequency
+
Hz
+
+ Hz
+
+
+ HZ
+
+
yes
+
1
+
+ s-1
+
+
+
+
newton
+
force
+
N
+
+ N
+
+
+ N
+
+
yes
+
1
+
+ kg.m/s2
+
+
+
+
pascal
+
pressure
+
Pa
+
+ Pa
+
+
+ PAL
+
+
yes
+
1
+
+ N/m2
+
+
+
+
joule
+
energy
+
J
+
+ J
+
+
+ J
+
+
yes
+
1
+
+ N.m
+
+
+
+
watt
+
power
+
W
+
+ W
+
+
+ W
+
+
yes
+
1
+
+ J/s
+
+
+
+
ampère
+
electric current
+
A
+
+ A
+
+
+ A
+
+
yes
+
1
+
+ C/s
+
+
+
+
volt
+
electric potential
+
V
+
+ V
+
+
+ V
+
+
yes
+
1
+
+ J/C
+
+
+
+
farad
+
electric capacitance
+
F
+
+ F
+
+
+ F
+
+
yes
+
1
+
+ C/V
+
+
+
+
ohm
+
electric resistance
+
Ω
+
+ Ohm
+
+
+ OHM
+
+
yes
+
1
+
+ V/A
+
+
+
+
siemens
+
electric conductance
+
S
+
+ S
+
+
+ SIE
+
+
yes
+
1
+
+ Ohm-1
+
+
+
+
weber
+
magnetic flux
+
Wb
+
+ Wb
+
+
+ WB
+
+
yes
+
1
+
+ V.s
+
+
+
+
degree Celsius
+
temperature
+
°C
+
+ Cel
+
+
+ CEL
+
+
yes
+
•
+
+ cel(1 K)
+
+
+
+
tesla
+
magnetic flux density
+
T
+
+ T
+
+
+ T
+
+
yes
+
1
+
+ Wb/m2
+
+
+
+
henry
+
inductance
+
H
+
+ H
+
+
+ H
+
+
yes
+
1
+
+ Wb/A
+
+
+
+
lumen
+
luminous flux
+
lm
+
+ lm
+
+
+ LM
+
+
yes
+
1
+
+ cd.sr
+
+
+
+
lux
+
illuminance
+
lx
+
+ lx
+
+
+ LX
+
+
yes
+
1
+
+ lm/m2
+
+
+
+
becquerel
+
radioactivity
+
Bq
+
+ Bq
+
+
+ BQ
+
+
yes
+
1
+
+ s-1
+
+
+
+
gray
+
energy dose
+
Gy
+
+ Gy
+
+
+ GY
+
+
yes
+
1
+
+ J/kg
+
+
+
+
sievert
+
dose equivalent
+
Sv
+
+ Sv
+
+
+ SV
+
+
yes
+
1
+
+ J/kg
+
+
+
+
+
+ §31
+ other units from ISO 1000, ISO 2955 and ANSI X3.50
+
+
+
+ ■1
+
+
+ Those unit atoms listed by ISO 2955 under the heading “other
+ units from ISO 1000” and some units from ANSI X3.50 are defined
+ in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are defined by ISO 1000 and are
+ out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Other units from ISO 1000, ISO 2955, and some from ANSI X3.50.
+
+
gon, grade
+
plane angle
+
+ □
+ g
+
+
+ gon
+
+
+ GON
+
+
no
+
0.9
+
+ deg
+
+
+
+
degree
+
plane angle
+
°
+
+ deg
+
+
+ DEG
+
+
no
+
2
+
+ [pi].rad/360
+
+
+
+
minute
+
plane angle
+
'
+
+ '
+
+
+ '
+
+
no
+
1
+
+ deg/60
+
+
+
+
second
+
plane angle
+
''
+
+ ''
+
+
+ ''
+
+
no
+
1
+
+ '/60
+
+
+
+
liter
+
volume
+
l
+
+ l
+
+
+ L
+
+
yes
+
1
+
+ dm3
+
+
+
+
liter
+
volume
+
L
+
+ L
+
+
+
+
+
yes
+
1
+
+ l
+
+
+
+
are
+
area
+
a
+
+ ar
+
+
+ AR
+
+
yes
+
100
+
+ m2
+
+
+
+
minute
+
time
+
min
+
+ min
+
+
+ MIN
+
+
no
+
60
+
+ s
+
+
+
+
hour
+
time
+
h
+
+ h
+
+
+ HR
+
+
no
+
60
+
+ min
+
+
+
+
day
+
time
+
d
+
+ d
+
+
+ D
+
+
no
+
24
+
+ h
+
+
+
+
tropical year
+
time
+
+ a
+ t
+
+
+ a_t
+
+
+ ANN_T
+
+
no
+
365.24219
+
+ d
+
+
+
+
mean Julian year
+
time
+
+ a
+ j
+
+
+ a_j
+
+
+ ANN_J
+
+
no
+
365.25
+
+ d
+
+
+
+
mean Gregorian year
+
time
+
+ a
+ g
+
+
+ a_g
+
+
+ ANN_G
+
+
no
+
365.2425
+
+ d
+
+
+
+
year
+
time
+
a
+
+ a
+
+
+ ANN
+
+
no
+
1
+
+ a_j
+
+
+
+
week
+
time
+
wk
+
+ wk
+
+
+ WK
+
+
no
+
7
+
+ d
+
+
+
+
synodal month
+
time
+
+ mo
+ s
+
+
+ mo_s
+
+
+ MO_S
+
+
no
+
29.53059
+
+ d
+
+
+
+
mean Julian month
+
time
+
+ mo
+ j
+
+
+ mo_j
+
+
+ MO_J
+
+
no
+
1
+
+ a_j/12
+
+
+
+
mean Gregorian month
+
time
+
+ mo
+ g
+
+
+ mo_g
+
+
+ MO_G
+
+
no
+
1
+
+ a_g/12
+
+
+
+
month
+
time
+
mo
+
+ mo
+
+
+ MO
+
+
no
+
1
+
+ mo_j
+
+
+
+
tonne
+
mass
+
t
+
+ t
+
+
+ TNE
+
+
yes
+
+ 1 × 10
+ 3
+
+
+ kg
+
+
+
+
bar
+
pressure
+
bar
+
+ bar
+
+
+ BAR
+
+
yes
+
+ 1 × 10
+ 5
+
+
+ Pa
+
+
+
+
unified atomic mass unit
+
mass
+
u
+
+ u
+
+
+ AMU
+
+
yes
+
+ 1.66053906660 × 10
+ -24
+
+
+ g
+
+
+
+
electronvolt
+
energy
+
eV
+
+ eV
+
+
+ EV
+
+
yes
+
1
+
+ [e].V
+
+
+
+
astronomic unit
+
length
+
AU
+
+ AU
+
+
+ ASU
+
+
no
+
149597.870691
+
+ Mm
+
+
+
+
parsec
+
length
+
pc
+
+ pc
+
+
+ PRS
+
+
yes
+
+ 3.085678 × 10
+ 16
+
+
+ m
+
+
+
+
+
+
+ In the case sensitive variant the liter is defined both with an upper
+ case ‘
+ L
+ ” and a lower case
+ ‘
+ l
+ ’. NIST [63 FR 40338] declares the upper case
+ ‘L’ as the prefered symbol for the U.S., while in many other
+ countries the lower case ‘l’ is used. In fact the lower case
+ ‘l’ was in effect since 1879. A hundred years later in 1979
+ the 16th CGPM decided to adopt the upper case ‘L’ as a
+ second symbol for the liter. In the case insensitive variant there is
+ only one symbol defined since there is no difference between upper
+ case ‘L’ and lower case ‘l’.
+
+
+
+
+ The unit “are” competes with year for the symbol
+ “a” not only in ISO 2955, and ANSI X3.50, but also in
+ ISO 1000 as stating the official CGPM approved symbols. This is why
+ the symbol for are is “
+ ar
+ ” in
+ The Unified Code for Units of Measure
+ . ISO 2955 explicitly adds the unit atom
+ “
+ ha
+ ” for hectare, while “hectare”
+ is just the correct spelling of the compositum of “hecto”
+ and “are” and thus would not require a separate unit
+ atom. Nevertheless, ISO 2955 in its case insensitive variant assigns
+ “
+ ARE
+ ” to the are and
+ “
+ har
+ ” to the hectare. This is obviously an
+ anomality which
+ The Unified Code for Units of Measure
+ will not follow. As a metric unit,
+ “
+ ar
+ ” can be prefixed with
+ “
+ h
+ ” to yield “
+ har
+ ”
+
+
+
+
+ ANSI X3.50 had two different series of symbols for the units of time,
+ the ones from ISO 2955 as adopted by
+ The Unified Code for Units of Measure
+ and the symbols
+ “
+ yr
+ ” “
+ mo
+ ”
+ “
+ wk
+ ” “
+ hr
+ ” and
+ “
+ sec
+ ” while “
+ d
+ ” and
+ “
+ min
+ ” were defined twice.
+ The Unified Code for Units of Measure
+ does not
+ define these synonyms of ISO 2955 symbols, but does adopt those units
+ from ANSI X3.50 that are not part of ISO 2955, namely
+ “
+ mo
+ ” and “
+ wk
+ ” Month
+ and week are useful units mainly in business or clinical medicine.
+
+
+
+
+ The semantics of the units of time is difficult to capture. The
+ difficulties start with the day: There is the sidereal and the solar
+ day that depend on the earth's rotation. The earth's rotation is
+ variable during one day and is continually slowing down in the long
+ run. The usual subdivisions of the day in 24 hours of 60 minutes and
+ 60 seconds originated in Babylonia. The earth's rotation was too
+ inexact to measure time, which is why the 11th CGPM (1954) defined the
+ second based on a standarized historical tropical year (see below)
+ which was later (13th CGPM 1967-1968) replaced by frequency
+ measurement. Thus the second came to be the base unit of time and the
+ day is now 864000 s exactly with the
+ Universal Coordinated
+ Time
+ (UTC) adding leap seconds every now and then.
+
+
+
+ For the year we have to distinguish the “tropical” (solar,
+ sidereal) year from the calendar year. And both are difficult. The
+ tropical year is the year defined by time the earth travels around the
+ sun. This is difficult to measure and varies over time. Around 1900
+ it was 365.242196 d, currently it is 365.242190 d and around
+ 2100 it will be 365.242184 d. In addition these durations are
+ averages. The actual length of each year may vary by several minutes
+ due to the gravitational influence of other planets. Thus there is
+ quite a high uncertainty already in the fourth decimal digit.
+
+
+
+ The calendar year is also difficult because there is the Julian
+ calendar (Sosigenes of Alexandria and Julius Caesar, 45 BC) with a
+ slightly too long year of 365.25 d that causes the calendar to be
+ one day ahead of the tropical year in 128 years. The Gregorian
+ calendar (Christopher Clavius 1537-1612 and Pope Gregory XIII
+ 1545-1563) leaves out three leap years in 400 years (let
+ n
+ be the
+ year number, the leap year is dropped if
+ n
+ mod 100 = 0 but not
+ n
+
+ mod 400 = 0.) The Gregorian mean year is thus 365.2425 d.
+ This leap year arithmetic seems to be too much even for astronomers,
+ which is why the light year ends up being defined based on the Julian
+ year [NIST Sp. Pub. 811, 1995 Edition]. For this reason
+ The Unified Code for Units of Measure
+
+ defines Tropical, Julian and Gregorian year by means of subscripts,
+ but assigns the default year symbol to the Julian year.
+
+
+
+ The week is 7 days, this is a biblic truth we can count on (it is
+ actually quite plausible that the week of seven days originated in
+ Babylonia and entered Jewish tradition during the Babylonian exile.)
+
+
+ The difficultiy continues with the month. The lunar (so called
+ “synodal” month is variable. Around 1900 it was
+ 29.5305886 d currently it is 29.5305889 d and in 2100 it
+ will be 29.5305891 d, which we fixate in the 5th decimal digit
+ with a considerable uncertainty. The calendar month is difficult
+ because of the uneven distribution of days in a month over the year,
+ and because of the two different calendar years. But we will usually
+ use the mean calendar month, which is the Julian calendar year divided
+ by 12.
+
+
+
+ As a conclusion, great care has to be taken when the “customary
+ units” of time are used to measure time. The SI has fixated the
+ second which should be used whenever accuracy is required. For
+ business purposes the Julian calendar is sufficient especially since
+ the notion of the Work-Day (vs. Holiday) is more important than the
+ imprecision over 128 years.
+
+ [Sources: “Calendar”
+ Britannica Online.
+ http://www.eb.com:180/cgi-bin/g?DocF=macro/5000/98/toc.html
+ .
+ Claus Tondering,
+ Frequently asked questions about
+ calendars.
+
+ Part 1. 1998.
+ http://www.pip.dknet.dk/~c-t/calendar.faq1.txt
+ ]
+
+
+
+
+
+ §32
+ natural units
+
+
+
+ ■1
+
+
+ Fundamental constants of nature and units derived from these constants
+ are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are defined by ISO 1000 and are
+ out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Natural units.
+
+
velocity of light
+
velocity
+
+ c
+
+
+ [c]
+
+
+ [C]
+
+
yes
+
299792458
+
+ m/s
+
+
+
+
Planck constant
+
action
+
+ h
+
+
+ [h]
+
+
+ [H]
+
+
yes
+
+ 6.6260755 × 10
+ -34
+
+
+ J.s
+
+
+
+
Boltzmann constant
+
(unclassified)
+
+ k
+
+
+ [k]
+
+
+ [K]
+
+
yes
+
+ 1.380658 × 10
+ -23
+
+
+ J/K
+
+
+
+
permittivity of vacuum
+
electric permittivity
+
+
+ ε
+
+ 0
+
+
+
+
+ [eps_0]
+
+
+ [EPS_0]
+
+
yes
+
+ 8.854187817 × 10
+ -12
+
+
+ F/m
+
+
+
+
permeability of vacuum
+
magnetic permeability
+
+
+ μ
+
+ 0
+
+
+
+
+ [mu_0]
+
+
+ [MU_0]
+
+
yes
+
1
+
+ 4.[pi].10*-7.N/A2
+
+
+
+
elementary charge
+
electric charge
+
+ e
+
+
+ [e]
+
+
+ [E]
+
+
yes
+
+ 1.60217733 × 10
+ -19
+
+
+ C
+
+
+
+
electron mass
+
mass
+
+
+ m
+
+ e
+
+
+
+
+ [m_e]
+
+
+ [M_E]
+
+
yes
+
+ 9.1093897 × 10
+ -28
+
+
+ g
+
+
+
+
proton mass
+
mass
+
+
+ m
+
+ p
+
+
+
+
+ [m_p]
+
+
+ [M_P]
+
+
yes
+
+ 1.6726231 × 10
+ -24
+
+
+ g
+
+
+
+
Newtonian constant of gravitation
+
(unclassified)
+
+ G
+
+
+ [G]
+
+
+ [GC]
+
+
yes
+
+ 6.67259 × 10
+ -11
+
+
+ m3.kg-1.s-2
+
+
+
+
standard acceleration of free fall
+
acceleration
+
+
+ g
+ n
+
+
+
+ [g]
+
+
+ [G]
+
+
yes
+
9.80665
+
+ m/s2
+
+
+
+
standard atmosphere
+
pressure
+
atm
+
+ atm
+
+
+ ATM
+
+
no
+
101325
+
+ Pa
+
+
+
+
light-year
+
length
+
l.y.
+
+ [ly]
+
+
+ [LY]
+
+
yes
+
1
+
+ [c].a_j
+
+
+
+
gram-force
+
force
+
gf
+
+ gf
+
+
+ GF
+
+
yes
+
1
+
+ g.[g]
+
+
+
+
pound force
+
force
+
lbf
+
+ [lbf_av]
+
+
+ [LBF_AV]
+
+
no
+
1
+
+ [lb_av].[g]
+
+
+
+
+
+
+ This list is not complete. It does not list all constants but only
+ those that are fundamental and from which many other constants can be
+ derived. The source of this table is
+ The NIST Reference on
+ Constants, Units, and Uncertainty
+ Version 2.1, 21 May 1998. NIST
+ Physics
+ Laboratory.
+ http://physics.nist.gov/cuu/Constants/index.html
+
+
+
+ In the base system of
+ The Unified Code for Units of Measure
+ , the general gas constant
+ R
+ is
+ identical to the Boltzman constant
+ k
+ . In the SI both are related
+ through
+ R
+ =
+ k
+ ×
+ N
+ A
+ , where
+ N
+ A
+ = 6.02214076 × 10
+ 23
+ /mol is
+ the Avogadro constant. Because
+ The Unified Code for Units of Measure
+ defines the mole to be the
+ dimensionless Avogadro number (number of particles in 1 g of
+ 12
+ C itself, there is no difference anymore if the Boltzman
+ constant is given as
+ k
+ = 1.380658 ×
+ 10
+ 23
+ J/K or
+ R
+ =
+ 8.314511 J mol
+ -1
+ K
+ -1
+ .
+
+
+
+
+
+ §33
+ CGS units
+
+
+
+ ■1
+
+
+ The units of the older Centimeter-Gram-Second (CGS) system are defined
+ in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
CGS units
+
+
Kayser
+
lineic number
+
K
+
+ Ky
+
+
+ KY
+
+
yes
+
1
+
+ cm-1
+
+
+
+
Gal
+
acceleration
+
Gal
+
+ Gal
+
+
+ GL
+
+
yes
+
1
+
+ cm/s2
+
+
+
+
dyne
+
force
+
dyn
+
+ dyn
+
+
+ DYN
+
+
yes
+
1
+
+ g.cm/s2
+
+
+
+
erg
+
energy
+
erg
+
+ erg
+
+
+ ERG
+
+
yes
+
1
+
+ dyn.cm
+
+
+
+
Poise
+
dynamic viscosity
+
P
+
+ P
+
+
+ P
+
+
yes
+
1
+
+ dyn.s/cm2
+
+
+
+
Biot
+
electric current
+
Bi
+
+ Bi
+
+
+ BI
+
+
yes
+
10
+
+ A
+
+
+
+
Stokes
+
kinematic viscosity
+
St
+
+ St
+
+
+ ST
+
+
yes
+
1
+
+ cm2/s
+
+
+
+
Maxwell
+
flux of magnetic induction
+
Mx
+
+ Mx
+
+
+ MX
+
+
yes
+
+ 1 × 10
+ -8
+
+
+ Wb
+
+
+
+
Gauss
+
magnetic flux density
+
Gs, G
+
+ G
+
+
+ GS
+
+
yes
+
+ 1 × 10
+ -4
+
+
+ T
+
+
+
+
Oersted
+
magnetic field intensity
+
Oe
+
+ Oe
+
+
+ OE
+
+
yes
+
250
+
+ /[pi].A/m
+
+
+
+
Gilbert
+
magnetic tension
+
Gb
+
+ Gb
+
+
+ GB
+
+
yes
+
1
+
+ Oe.cm
+
+
+
+
stilb
+
lum. intensity density
+
sb
+
+ sb
+
+
+ SB
+
+
yes
+
1
+
+ cd/cm2
+
+
+
+
Lambert
+
brightness
+
L
+
+ Lmb
+
+
+ LMB
+
+
yes
+
1
+
+ cd/cm2/[pi]
+
+
+
+
phot
+
illuminance
+
ph
+
+ ph
+
+
+ PHT
+
+
yes
+
+ 1 × 10
+ -4
+
+
+ lx
+
+
+
+
Curie
+
radioactivity
+
Ci
+
+ Ci
+
+
+ CI
+
+
yes
+
+ 3.7 × 10
+ 10
+
+
+ Bq
+
+
+
+
Roentgen
+
ion dose
+
R
+
+ R
+
+
+ ROE
+
+
yes
+
+ 2.58 × 10
+ -4
+
+
+ C/kg
+
+
+
+
radiation absorbed dose
+
energy dose
+
RAD
+
+ RAD
+
+
+ [RAD]
+
+
yes
+
100
+
+ erg/g
+
+
+
+
radiation equivalent man
+
dose equivalent
+
REM
+
+ REM
+
+
+ [REM]
+
+
yes
+
1
+
+ RAD
+
+
+
+
+
+ Although the CGPM “accepts” only very few CGS units “for use with
+ the SI,” CGS units are proper metric units. CGS units are still used
+ in many physiological laboratories and in clinical diagnostics (e.g.,
+ cardiology). In addition CGS units ackquired a special dignity as this
+ was the system of units used by the great physicists of the early 20th
+ century, Albert Einstein, Max Planck, and many others who worked on
+ the scientific revolution that had quite a cultural impact.
+
+
+ The CGS system defined electric and magnetic phenomena differently
+ which is why the units named “oersted” and “maxwell” have no
+ proper SI counterpart. This table was compiled from various sources
+ and is not complete and not very systematic. We therefore welcome
+ suggestions and advice as to how this table could be completed.
+
+
+
+
+ Customary Unit Atoms
+
+
+ Customary units have once been used all over Europe. Units were taken
+ from nature: anatomical structures (e.g., arm, foot, finger),
+ botanical objects (e.g., grains of various sorts, rod), or processes
+ of everyday life (e.g., amount of land one could plow in a morning,
+ the length of 1000 steps, an hour of walking, etc.).
+
+
+ Many of these units can be traced back in history to the Romans
+ (mile), Greeks (carat) and even more ancient times. It is thus no
+ wonder that this heritage was in some way ordered. Indeed, one finds
+ the same names for units used in different countries and most of these
+ units where divided into smaller or multiplied to larger units in the
+ same way.
+
+
+
+ For example, there was the foot (de. “Fuß”
+ fr. “pied” nl. “voet”) that was divided into
+ 12 inches (de. “Zoll” fr. “pouce”). An inch
+ was divided into 12 lines (de. “Linie”
+ fr. “ligne” ). Two feet was one ell
+ (de. “Elle” da. “Alen”
+ sv. “Aln”). The ell was, however, not very popular in
+ England, as opposed to the rest of Europe. Conversely, the yard is
+ hard to find elsewhere, aside from the Argentinian “vara.”
+ But it is perhaps no accident that the meter ended up as the 40 ×
+ 10
+ -6
+ of an earth's meridian, which is approximately one
+ yard (43.7 × 10
+ -6
+ ). The rod (de. “Rute”
+ fr. “perche” nl. “roede”
+ sv. “stång”) was very popular all over Europe and so
+ was the fathom (de. “Klafter”).
+
+
+
+ The square rod (de. “Quadratrute” fr. “perche-carrée”
+ nl. “vierkante-roede” was mainly used to measure land. The acre as
+ the legnedary land to sow in one morning (or day) is also widespread
+ (de. “Morgen, Tagwerk, Acker” fr. “arpent” sv. “tunnland” ,
+ although the exact amount in square rod varies considerably from
+ region ro region. Interestingly, even the special purpose measures
+ such as the “hand” for measuring horses have international equivalents
+ (de. “faust”).
+
+
+
+ One can indeed say that there was once a “
+ système
+ international d'unités coutumières
+ “ but the
+ magnitudes of the units were not standardized internationally. Of
+ course, Great Britain had the most impact in standardizing the
+ customary system, because of its colonies, including its most
+ important colony, America. However, after the customary units were
+ established in the U.S. a major reform took place through the British
+ Weights and Measures Act of 1824. For instance, Queen Anne's wine
+ Gallon of 231 cubic inches, still used in the U.S., was discarded
+ then, and the older bushel was standardized differently in Great
+ Britain. Other deviations between the English and U.S. measures are
+ due to various alignments with the metric system. Thus, in the U.S.,
+ the yard was standardized as 3600/3937 m and the inch was
+ 2.540005 cm while in England the inch was still 2.539998 cm.
+
+
+
+ In 1959 major parts of the U.S. and British system of customary units
+ were standardized internationally, again aligned to the metric system
+ which is why the international yard is 0.9144 m exactly and the
+ nautical mile became 1852 m exactly. However, traditional
+ subdivisions and multiples have not been abolished in favor of the
+ international standard. Furthermore the old U.S. standard for the yard
+ is still legally used for land surveying.
+
+
+ Conclusively, there are different systems of customary units that are
+ in use today. These systems use the same names for units that have
+ different equivalents in the metric system, because the customary
+ systems are based on different reference quantities but multiples and
+ subdivisions of the reference quantities are very similar, though with
+ notable exceptions.
+
+
+ In the following tables we tried to give the original definitions to
+ the customary units. This means in general that the references to the
+ metric system are as few as possible, with most of the units of one
+ system defined as multiples and subdivisions of one reference unit.
+
+
+
+ We use the subscript notation to disambiguate units with same names in
+ the different systems. Subscript notation means, for instance that if
+ the print symbol for foot is “ft” we use subscripts to
+ distinguish the international foot “ft
+ i
+ ” the
+ U.S. survey foot “ft
+ us
+ ” and the British
+ Imperial foot “ft
+ br
+ ” We do not actually list
+ print symbols for customary units, because there seems to be no
+ standard for it, and because defining print symbols is out of scope of
+ The Unified Code for Units of Measure
+ . However, we presume that subscripts be used to disambiguate
+ whatever print symbols are being used. According to
+ §§13ff
+ ,
+ The Unified Code for Units of Measure
+ uses the underscore to denote those
+ subscripts, and also encloses the entire unit atom into square
+ brackets. Hence, the symbols for the international foot, the
+ U.S. survey foot and the British Imperial foot are defined as
+ “
+ [ft_i]
+ ,” “
+ [ft_us]
+ ,”
+ and “
+ [ft_br]
+ ” respectively.
+
+
+
+
+ Prospective users of
+ The Unified Code for Units of Measure
+ may be disappointed by the fact that
+ there are many different symbols for foot and inch defined but all of
+ them have a subscript and thus none of them are equal to the
+ ANSI X3.50 symbols. We considered to define default symbols for
+ customary units, where, e.g., the common units of length (foot, inch)
+ would default to the international customary units, while mass units
+ (pound, ounce) would default to the avoirdupois system. However,
+ because the customary system is quite complex, and units by the same
+ names can differ by more than 20%, defining defaults will probably
+ cause even more confusion. There is no denial: a gallon is not just a
+ gallon and a pound is not just a pound, this is the disadvantage of
+ dealing with a unit system of medieval origin.
+
+
+
+
+
+ §34
+ international customary units
+
+
+
+ ■1
+
+
+ The unified U.S. and British Imperial customary units, so called
+ “international” customary units are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2. With the exception that the column named
+ “print” is not available.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. The full name is out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ The special symbols for “square inch,” “cubic
+ foot,” etc. are deprecated. The preferred expressions use the
+ exponents 2 and 3 respectively as shown in the column
+ “definition”
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
International customary units
+
+
inch
+
length
+
+ [in_i]
+
+
+ [IN_I]
+
+
no
+
2.54
+
+ cm
+
+
+
+
foot
+
length
+
+ [ft_i]
+
+
+ [FT_I]
+
+
no
+
12
+
+ [in_i]
+
+
+
+
yard
+
length
+
+ [yd_i]
+
+
+ [YD_I]
+
+
no
+
3
+
+ [ft_i]
+
+
+
+
mile
+
length
+
+ [mi_i]
+
+
+ [MI_I]
+
+
no
+
5280
+
+ [ft_i]
+
+
+
+
fathom
+
depth of water
+
+ [fth_i]
+
+
+ [FTH_I]
+
+
no
+
6
+
+ [ft_i]
+
+
+
+
nautical mile
+
length
+
+ [nmi_i]
+
+
+ [NMI_I]
+
+
no
+
1852
+
+ m
+
+
+
+
knot
+
velocity
+
+ [kn_i]
+
+
+ [KN_I]
+
+
no
+
1
+
+ [nmi_i]/h
+
+
+
+
square inch
+
area
+
+ [sin_i]
+
+
+ [SIN_I]
+
+
no
+
1
+
+ [in_i]2
+
+
+
+
square foot
+
area
+
+ [sft_i]
+
+
+ [SFT_I]
+
+
no
+
1
+
+ [ft_i]2
+
+
+
+
square yard
+
area
+
+ [syd_i]
+
+
+ [SYD_I]
+
+
no
+
1
+
+ [yd_i]2
+
+
+
+
cubic inch
+
volume
+
+ [cin_i]
+
+
+ [CIN_I]
+
+
no
+
1
+
+ [in_i]3
+
+
+
+
cubic foot
+
volume
+
+ [cft_i]
+
+
+ [CFT_I]
+
+
no
+
1
+
+ [ft_i]3
+
+
+
+
cubic yard
+
volume
+
+ [cyd_i]
+
+
+ [CYD_I]
+
+
no
+
1
+
+ [yd_i]3
+
+
+
+
board foot
+
volume
+
+ [bf_i]
+
+
+ [BF_I]
+
+
no
+
144
+
+ [in_i]3
+
+
+
+
cord
+
volume
+
+ [cr_i]
+
+
+ [CR_I]
+
+
no
+
128
+
+ [ft_i]3
+
+
+
+
mil
+
length
+
+ [mil_i]
+
+
+ [MIL_I]
+
+
no
+
+ 1 × 10
+ -3
+
+
+ [in_i]
+
+
+
+
circular mil
+
area
+
+ [cml_i]
+
+
+ [CML_I]
+
+
no
+
1
+
+ [pi]/4.[mil_i]2
+
+
+
+
hand
+
height of horses
+
+ [hd_i]
+
+
+ [HD_I]
+
+
no
+
4
+
+ [in_i]
+
+
+
+
+
+ In general the international customary units are effective in the
+ U.S. and in Great Britain since 1959. We are unsure, however, about
+ this in countries that formerly or at present belong to the
+ Commonwealth. We therefore appreciate advice and reference to original
+ sources on this transition. Conceivably other countries may have made
+ exceptions in the transition to the international definitions of
+ customary units, such as the U.S. where the old definitions have been
+ retained for the purpose of land surveying.
+
+
+
+ It is not quite clear exactly what units the international customary
+ system comprises. According to the Encyclopedia Britannica
+ [
+ British Imperial System. Britannica Online
+ ], the rod was
+ removed in Great Britain in 1963. Since the definition of the acre is
+ based on the rod, we did not include rod and acre in the international
+ customary system. In the U.S. the acre is still defined on the older
+ U.S. customary system as of 1893.
+
+
+
+
+ In general, we did not include special customary units of area and
+ volume in
+
+ , since these are still used
+ differently in the U.S. Special symbols such as suqare inch and cubic
+ foot have been included according to ANSI X3.50. Generally the
+ “square-” and “cubic-” prefixes are
+ unnecessary in ISO 2955 and ANSI X3.50 and are deprecated by
+ The Unified Code for Units of Measure
+ . We placed the board foot, cord and circular mil into the
+ international table because these units are suggested by
+ ANSI X3.50 but we were not sure in what sense they are still
+ used. We did, however, not include the square mile in the
+ international table because in the U.S. measurements in square miles
+ are most likely based on the survey mile that is part of the older
+ system, see
+ §35
+ .
+
+
+
+
+ The circular mil is exactly the area of a circle with a diameter of
+ one mil. One mil, in turn, equals 1/1000 inch (“mil” is the
+ etymological equivalent of “milli-inch” ) The mil has been
+ defined in
+
+ to support the exact definition of
+ the circular mil.
+
+
+
+ ANSI X3.50 does not define a symbol for the “hand,” but this unit is
+ mentioned in the table given by the Encyclopedia Britannica. The hand
+ is used in measuring the height of horses from foot to shoulder. It
+ was probably not subject to the internationalization of customary
+ units. Any advice as whether the hand is used based on an older
+ British or U.S. definition is appreciated.
+
+
+
+
+ §35
+ U.S. survey lengths
+
+
+
+ ■1
+
+
+ The older U.S. units according to the definition of the inch in the
+ U.S. Metric Law of 1866 and the definition of foot and yard that was
+ valid from 1893 until 1959.
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+ [Barry N. Taylor,
+ Guide to the Use of the International Stsyem of
+ Units (SI)
+ [NIST Special Publication 811], National Institute for
+ Standards and Technology (NIST), 1995. Available from: URL:
+ http://physics.nist.gov/Document/sp811.pdf
+ ]
+
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Older U.S. “survey” lengths (also called "statute" lengths)
+
+
foot
+
length
+
+ [ft_us]
+
+
+ [FT_US]
+
+
no
+
1200
+
+ m/3937
+
+
+
+
yard
+
length
+
+ [yd_us]
+
+
+ [YD_US]
+
+
no
+
3
+
+ [ft_us]
+
+
+
+
inch
+
length
+
+ [in_us]
+
+
+ [IN_US]
+
+
no
+
1
+
+ [ft_us]/12
+
+
+
+
rod
+
length
+
+ [rd_us]
+
+
+ [RD_US]
+
+
no
+
16.5
+
+ [ft_us]
+
+
+
+
Gunter's chain, Surveyor's chain
+
length
+
+ [ch_us]
+
+
+ [CH_US]
+
+
no
+
4
+
+ [rd_us]
+
+
+
+
link for Gunter's chain
+
length
+
+ [lk_us]
+
+
+ [LK_US]
+
+
no
+
1
+
+ [ch_us]/100
+
+
+
+
Ramden's chain, Engineer's chain
+
length
+
+ [rch_us]
+
+
+ [RCH_US]
+
+
no
+
100
+
+ [ft_us]
+
+
+
+
link for Ramden's chain
+
length
+
+ [rlk_us]
+
+
+ [RLK_US]
+
+
no
+
1
+
+ [rch_us]/100
+
+
+
+
fathom
+
length
+
+ [fth_us]
+
+
+ [FTH_US]
+
+
no
+
6
+
+ [ft_us]
+
+
+
+
furlong
+
length
+
+ [fur_us]
+
+
+ [FUR_US]
+
+
no
+
40
+
+ [rd_us]
+
+
+
+
mile
+
length
+
+ [mi_us]
+
+
+ [MI_US]
+
+
no
+
8
+
+ [fur_us]
+
+
+
+
acre
+
area
+
+ [acr_us]
+
+
+ [ACR_US]
+
+
no
+
160
+
+ [rd_us]2
+
+
+
+
square rod
+
area
+
+ [srd_us]
+
+
+ [SRD_US]
+
+
no
+
1
+
+ [rd_us]2
+
+
+
+
square mile
+
area
+
+ [smi_us]
+
+
+ [SMI_US]
+
+
no
+
1
+
+ [mi_us]2
+
+
+
+
section
+
area
+
+ [sct]
+
+
+ [SCT]
+
+
no
+
1
+
+ [mi_us]2
+
+
+
+
township
+
area
+
+ [twp]
+
+
+ [TWP]
+
+
no
+
36
+
+ [sct]
+
+
+
+
mil
+
length
+
+ [mil_us]
+
+
+ [MIL_US]
+
+
no
+
+ 1 × 10
+ -3
+
+
+ [in_us]
+
+
+
+
+
+ After the 1959 international agreement changed the definition of the yard in the US to be 0.9144 m exactly, surveyors and civil engineers complained that volumnious legacy surveys and so forth used the previous definition of (1200/3937) m and that this change would be disruptive. So, by statute, Congress created a survey foot of (1200/3937) m (the old 1893 Mendenhall Order definition). Thus, by statute, miles used in surveying are referred to as statute miles of 5280 survey feet each. The fathom, rod, and furlong are likewise based on the survey foot.
+
+
+ According to NIST, the acre as normally used in the U.S. is defined
+ in terms of U.S. survey lengths, and not in terms of the
+ international custormary system. This older U.S. customary system of
+ survey lengths is still used for geodesic measurements.
+
+
+
+
+ §36
+ British Imperial lengths
+
+
+
+ ■1
+
+
+ defines symbols for the older British Imperial lengths as of
+ the British Weights and Measures Act of 1824.
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
British Imperial lengths
+
+
inch
+
length
+
+ [in_br]
+
+
+ [IN_BR]
+
+
no
+
2.539998
+
+ cm
+
+
+
+
foot
+
length
+
+ [ft_br]
+
+
+ [FT_BR]
+
+
no
+
12
+
+ [in_br]
+
+
+
+
rod
+
length
+
+ [rd_br]
+
+
+ [RD_BR]
+
+
no
+
16.5
+
+ [ft_br]
+
+
+
+
Gunter's chain
+
length
+
+ [ch_br]
+
+
+ [CH_BR]
+
+
no
+
4
+
+ [rd_br]
+
+
+
+
link for Gunter's chain
+
length
+
+ [lk_br]
+
+
+ [LK_BR]
+
+
no
+
1
+
+ [ch_br]/100
+
+
+
+
fathom
+
length
+
+ [fth_br]
+
+
+ [FTH_BR]
+
+
no
+
6
+
+ [ft_br]
+
+
+
+
pace
+
length
+
+ [pc_br]
+
+
+ [PC_BR]
+
+
no
+
2.5
+
+ [ft_br]
+
+
+
+
yard
+
length
+
+ [yd_br]
+
+
+ [YD_BR]
+
+
no
+
3
+
+ [ft_br]
+
+
+
+
mile
+
length
+
+ [mi_br]
+
+
+ [MI_BR]
+
+
no
+
5280
+
+ [ft_br]
+
+
+
+
nautical mile
+
length
+
+ [nmi_br]
+
+
+ [NMI_BR]
+
+
no
+
6080
+
+ [ft_br]
+
+
+
+
knot
+
velocity
+
+ [kn_br]
+
+
+ [KN_BR]
+
+
no
+
1
+
+ [nmi_br]/h
+
+
+
+
acre
+
area
+
+ [acr_br]
+
+
+ [ACR_BR]
+
+
no
+
4840
+
+ [yd_br]2
+
+
+
+
+
+ The older British Imperial system is predominantly of historical
+ interest. However, it may be that some former members of the
+ Commonwealth have retained this system after 1959, when the unified
+ international definitions where established, and after 1963, when the
+ British system was revised in England.
+
+
+ The chain was proposed by Edmund Gunter in England of the 17th
+ century. It is possible that Gunter's chain and Ramden's chain are
+ related to other European traditional units such as the English
+ “rope” (measuring 20 feet) or the old German
+ “Landseil” (measuring 52 ells or 104 feet) named after
+ ropes or chains that could be spanned in order to measure land. The
+ difference in the definitions of those units is no surprise as there
+ is nothing that restricts a chain or rope to a praticular
+ length. However, these units are still similar in magnitude.
+
+
+
+
+ §37
+ U.S. volumes
+
+
+
+ ■1
+
+
+ The U.S. volumes, so called “capacity” measures, which
+ are different for fluid goods (wine) and dry goods (grain), are
+ defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
U.S. volumes including so called “dry measures”
+
+
Queen Anne's wine gallon
+
fluid volume
+
+ [gal_us]
+
+
+ [GAL_US]
+
+
no
+
231
+
+ [in_i]3
+
+
+
+
barrel
+
fluid volume
+
+ [bbl_us]
+
+
+ [BBL_US]
+
+
no
+
42
+
+ [gal_us]
+
+
+
+
quart
+
fluid volume
+
+ [qt_us]
+
+
+ [QT_US]
+
+
no
+
1
+
+ [gal_us]/4
+
+
+
+
pint
+
fluid volume
+
+ [pt_us]
+
+
+ [PT_US]
+
+
no
+
1
+
+ [qt_us]/2
+
+
+
+
gill
+
fluid volume
+
+ [gil_us]
+
+
+ [GIL_US]
+
+
no
+
1
+
+ [pt_us]/4
+
+
+
+
fluid ounce
+
fluid volume
+
+ [foz_us]
+
+
+ [FOZ_US]
+
+
no
+
1
+
+ [gil_us]/4
+
+
+
+
fluid dram
+
fluid volume
+
+ [fdr_us]
+
+
+ [FDR_US]
+
+
no
+
1
+
+ [foz_us]/8
+
+
+
+
minim
+
fluid volume
+
+ [min_us]
+
+
+ [MIN_US]
+
+
no
+
1
+
+ [fdr_us]/60
+
+
+
+
cord
+
fluid volume
+
+ [crd_us]
+
+
+ [CRD_US]
+
+
no
+
128
+
+ [ft_i]3
+
+
+
+
bushel
+
dry volume
+
+ [bu_us]
+
+
+ [BU_US]
+
+
no
+
2150.42
+
+ [in_i]3
+
+
+
+
historical winchester gallon
+
dry volume
+
+ [gal_wi]
+
+
+ [GAL_WI]
+
+
no
+
1
+
+ [bu_us]/8
+
+
+
+
peck
+
dry volume
+
+ [pk_us]
+
+
+ [PK_US]
+
+
no
+
1
+
+ [bu_us]/4
+
+
+
+
dry quart
+
dry volume
+
+ [dqt_us]
+
+
+ [DQT_US]
+
+
no
+
1
+
+ [pk_us]/8
+
+
+
+
dry pint
+
dry volume
+
+ [dpt_us]
+
+
+ [DPT_US]
+
+
no
+
1
+
+ [dqt_us]/2
+
+
+
+
tablespoon
+
volume
+
+ [tbs_us]
+
+
+ [TBS_US]
+
+
no
+
1
+
+ [foz_us]/2
+
+
+
+
teaspoon
+
volume
+
+ [tsp_us]
+
+
+ [TSP_US]
+
+
no
+
1
+
+ [tbs_us]/3
+
+
+
+
cup
+
volume
+
+ [cup_us]
+
+
+ [CUP_US]
+
+
no
+
16
+
+ [tbs_us]
+
+
+
+
metric fluid ounce
+
fluid volume
+
+ [foz_m]
+
+
+ [FOZ_M]
+
+
no
+
30
+
+ mL
+
+
+
+
metric cup
+
volume
+
+ [cup_m]
+
+
+ [CUP_M]
+
+
no
+
240
+
+ mL
+
+
+
+
metric teaspoon
+
volume
+
+ [tsp_m]
+
+
+ [TSP_M]
+
+
no
+
5
+
+ mL
+
+
+
+
metric tablespoon
+
volume
+
+ [tbs_m]
+
+
+ [TBS_M]
+
+
no
+
15
+
+ mL
+
+
+
+
+
+ The U.S. fluid volumes have been defined based on Queen Anne's wine
+ gallon which was in turn defined exactly as 231 cubic inch. Although
+ we used international inch, we are not sure what inch definition is
+ actually used for defining the exact size of a U.S. gallon. However,
+ the differences between the various inches are minimal, even when
+ raised to the 3rd power (i.e., the difference between the U.S. inch
+ and the British Imperial inch remains in the sixth decimal digit.)
+
+
+
+ Dry measures are based on the bushel (corn bushel), originally defined
+ in 1701 as “any round measure with a plain and even bottom, being
+ 18.5 inches wide throughout and 8 inches deep.” This definition,
+ being (18.5/2)
+ 2
+ π × 8 = 2150.42017138221... cubic
+ inch was later truncated to 2150.42 cubic inch exactly. At times the
+ bushel was closely related with the Winchester gallon (corn gallon),
+ which has been mentioned as an historical curiosity.
+
+
+
+ ANSI X3.50 defines symbols for the units cup, tablespoon and teaspoon
+ which are predominantly used in cooking recipies but also in practical
+ medicine. Similar units can often be found in European cook books, but
+ are usually translated into metric units outside the U.S. For
+ practical medicine these are still very handy units to give
+ instructions to patients.
+
+
+
+
+ §38
+ British Imperial volumes
+
+
+
+ ■1
+
+
+ British Imperial volumes according to the Weights and Measures Act of
+ 1824 are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
British Imperial volumes
+
+
gallon
+
volume
+
+ [gal_br]
+
+
+ [GAL_BR]
+
+
no
+
4.54609
+
+ l
+
+
+
+
peck
+
volume
+
+ [pk_br]
+
+
+ [PK_BR]
+
+
no
+
2
+
+ [gal_br]
+
+
+
+
bushel
+
volume
+
+ [bu_br]
+
+
+ [BU_BR]
+
+
no
+
4
+
+ [pk_br]
+
+
+
+
quart
+
volume
+
+ [qt_br]
+
+
+ [QT_BR]
+
+
no
+
1
+
+ [gal_br]/4
+
+
+
+
pint
+
volume
+
+ [pt_br]
+
+
+ [PT_BR]
+
+
no
+
1
+
+ [qt_br]/2
+
+
+
+
gill
+
volume
+
+ [gil_br]
+
+
+ [GIL_BR]
+
+
no
+
1
+
+ [pt_br]/4
+
+
+
+
fluid ounce
+
volume
+
+ [foz_br]
+
+
+ [FOZ_BR]
+
+
no
+
1
+
+ [gil_br]/5
+
+
+
+
fluid dram
+
volume
+
+ [fdr_br]
+
+
+ [FDR_BR]
+
+
no
+
1
+
+ [foz_br]/8
+
+
+
+
minim
+
volume
+
+ [min_br]
+
+
+ [MIN_BR]
+
+
no
+
1
+
+ [fdr_br]/60
+
+
+
+
+
+ The British Weights and Measures Act of 1824 removed the medieval
+ distiction between wine and grain measures and defined one unified
+ system of volumes based on a new Gallon that was defined similarly as
+ the metric unit liter: “10 imperial pounds weight of distilled
+ water weighed in air against brass weights with the water and the air
+ at a temperature of 62 degrees of Fahrenheit's thermometer and with
+ the barometer at 30 inches.”
+
+
+ With the current definition of the gallon as 277.421 cubic inches
+ (approximately) and a density of water of 0.99878 kg/l according
+ to NIST data, the inch must have been approximately 2.5371 cm at
+ that time. Because of this difficulty with the original definition of
+ the British gallon we based the British Imperial volumes on the gallon
+ for which there is an exact metric equivalence, according to NIST,
+ which provides usually well researched data.
+
+
+ Note that the subdivisions of the British Imperial system of volumes
+ differs from the U.S. system of fluid volumes between gill and fluid
+ ounce: in the British system 1 oz fl equals 1/5 gill where
+ in the U.S. system 1 oz fl equals 1/4 gill. Thus, although
+ the british system starts out with a 20% larger gallon, the British
+ fluid ounce, fluid dram and minim are 4% smaller than the U.S. units
+ with the same name.
+
+
+
+
+ §39
+ avoirdupois weights
+
+
+
+ ■1
+
+
+ The avoirdupois system of mass units is defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
+ The avoirdupois system is used in the U.S. as well as in coutries that
+ use the British Imperial system. Avoirdupois is the default system of
+ mass units used for all goods that “have weight”
+ (fr.
+ avoir du poids
+ ). Interestingly all three systems of
+ weight are based on the same grain of barley, standardized to
+ 64.79891 mg exactly [NIST].
+
+
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Avoirdupois weights
+
+
grain
+
mass
+
+ [gr]
+
+
+ [GR]
+
+
no
+
64.79891
+
+ mg
+
+
+
+
pound
+
mass
+
+ [lb_av]
+
+
+ [LB_AV]
+
+
no
+
7000
+
+ [gr]
+
+
+
+
ounce
+
mass
+
+ [oz_av]
+
+
+ [OZ_AV]
+
+
no
+
1
+
+ [lb_av]/16
+
+
+
+
dram
+
mass
+
+ [dr_av]
+
+
+ [DR_AV]
+
+
no
+
1
+
+ [oz_av]/16
+
+
+
+
short hundredweight, U.S. hundredweight
+
mass
+
+ [scwt_av]
+
+
+ [SCWT_AV]
+
+
no
+
100
+
+ [lb_av]
+
+
+
+
long hunderdweight, British hundredweight
+
mass
+
+ [lcwt_av]
+
+
+ [LCWT_AV]
+
+
no
+
112
+
+ [lb_av]
+
+
+
+
short ton, U.S. ton
+
mass
+
+ [ston_av]
+
+
+ [STON_AV]
+
+
no
+
20
+
+ [scwt_av]
+
+
+
+
long ton, British ton
+
mass
+
+ [lton_av]
+
+
+ [LTON_AV]
+
+
no
+
20
+
+ [lcwt_av]
+
+
+
+
stone, British stone
+
mass
+
+ [stone_av]
+
+
+ [STONE_AV]
+
+
no
+
14
+
+ [lb_av]
+
+
+
+
+
+ §40
+ troy weights
+
+
+
+ ■1
+
+
+ The troy system of mass units is defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
+ The troy system originates in Troyes, a City in the Champagne (France)
+ that hosted a major European fair. The troy system was later used for
+ measuring precious metals. The World Monetary Fund valued all
+ currencies against the troy ounce of gold at least until the 1960s
+ (advice appreciated). The troy ounce is still used in worldwide trade
+ with gold, even in countries that otherwise use metric units
+ (de. “feinunze”). The troy system retains the original Roman
+ subdivision of the pound in 12 ounces. The Roman
+ uncia
+ was “one
+ twelfth” of a
+ libra
+ (hence the symbol “lb” for the pound),
+ just as the inch (also originating from la. “libra” is one twelfth
+ of a foot. The subdivision of 12 ounces/inches per pound/foot and 2
+ foot per ell (la. “cubit” apparently originated in the ancient
+ Egypt and was carried on by the Greeks and Romans into the medieval
+ Europe. However, there was always an ambiguity such that the
+ subdivision of 1/12 could become 1/16 and vice versa, hence the
+ avoirdupois ounce of 1/16 pound.
+
+
+
+
+ Note also that the troy pound was abolished in England on January 6,
+ 1879 [Jacques J. Proot,
+ Anglo-Saxon weights & measures
+ , URL:
+ http://members.aol.com/JackProot/met/spvolas.html
+ ].
+
+
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Troy weights
+
+
pennyweight
+
mass
+
+ [pwt_tr]
+
+
+ [PWT_TR]
+
+
no
+
24
+
+ [gr]
+
+
+
+
ounce
+
mass
+
+ [oz_tr]
+
+
+ [OZ_TR]
+
+
no
+
20
+
+ [pwt_tr]
+
+
+
+
pound
+
mass
+
+ [lb_tr]
+
+
+ [LB_TR]
+
+
no
+
12
+
+ [oz_tr]
+
+
+
+
+
+ §41
+ apothecaries' weights.
+
+
+
+ ■1
+
+
+ The apothecaries' system of mass units is defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Apothecaries' weights
+
+
scruple
+
mass
+
+ [sc_ap]
+
+
+ [SC_AP]
+
+
no
+
20
+
+ [gr]
+
+
+
+
dram, drachm
+
mass
+
+ [dr_ap]
+
+
+ [DR_AP]
+
+
no
+
3
+
+ [sc_ap]
+
+
+
+
ounce
+
mass
+
+ [oz_ap]
+
+
+ [OZ_AP]
+
+
no
+
8
+
+ [dr_ap]
+
+
+
+
pound
+
mass
+
+ [lb_ap]
+
+
+ [LB_AP]
+
+
no
+
12
+
+ [oz_ap]
+
+
+
+
metric ounce
+
mass
+
+ [oz_m]
+
+
+ [OZ_M]
+
+
no
+
28
+
+ g
+
+
+
+
+
+ Note that some U.S. pharmacies still use this system of apothecaries'
+ weights when measuring the amount of drugs. This system is very
+ different from the avoirdupois system though based on the same
+ grain. The apothecaries' dram is more than twice as much as the
+ avoirdupois dram, the ounce is still 10% greater than the avoirdupois
+ ounce while the pound is 20% less than the avoirdupois pound. The
+ apothecaries' system, just as the troy system, keeps the original
+ Roman subdivision of an ounce (la. “uncia” to be 1/12 pound
+ (la. “libra”). Hence is the apothecaries' pound about 22% smaller
+ than the avoirdupois pound, while its subdivisions are greater than
+ the respective avoirdupois subdivisions (ounce 10%, dram 119%). This
+ difference in the weight systems is the most important reason why
+ ANSI X3.50 should not be applied in medicine, where both systems are
+ being used and therefore misinterpreations are inevitable.
+
+
+
+
+ §42
+ typesetter's lengths
+
+
+
+ ■1
+
+
+ The units of length as used in typesetting are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+
+
name
+
kind of quantity
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Units used in typesetting
+
+
line
+
length
+
+ [lne]
+
+
+ [LNE]
+
+
no
+
1
+
+ [in_i]/12
+
+
+
+
point
+
length
+
+ [pnt]
+
+
+ [PNT]
+
+
no
+
1
+
+ [lne]/6
+
+
+
+
pica
+
length
+
+ [pca]
+
+
+ [PCA]
+
+
no
+
12
+
+ [pnt]
+
+
+
+
Printer's point
+
length
+
+ [pnt_pr]
+
+
+ [PNT_PR]
+
+
no
+
0.013837
+
+ [in_i]
+
+
+
+
Printer's pica
+
length
+
+ [pca_pr]
+
+
+ [PCA_PR]
+
+
no
+
12
+
+ [pnt_pr]
+
+
+
+
pied, French foot
+
length
+
+ [pied]
+
+
+ [PIED]
+
+
no
+
32.48
+
+ cm
+
+
+
+
pouce, French inch
+
length
+
+ [pouce]
+
+
+ [POUCE]
+
+
no
+
1
+
+ [pied]/12
+
+
+
+
ligne, French line
+
length
+
+ [ligne]
+
+
+ [LIGNE]
+
+
no
+
1
+
+ [pouce]/12
+
+
+
+
didot, Didot's point
+
length
+
+ [didot]
+
+
+ [DIDOT]
+
+
no
+
1
+
+ [ligne]/6
+
+
+
+
cicero, Didot's pica
+
length
+
+ [cicero]
+
+
+ [CICERO]
+
+
no
+
12
+
+ [didot]
+
+
+
+
+
+
+ There are three systems of typesetter's lengths in use today:
+ Françcois-Ambroise Didot (1730-1804), a publisher in Paris,
+ invented this system based on the traditional subdivisions of the
+ customary units: 1 line was 1/12 inch and 1/6 line was one
+ point. Henceforth the size of letters were measured in point. However,
+ the Didot system is based on the
+ pouce
+ , i.e. the french
+ inch, which, just as the English inch, is 1/12
+ pied
+
+ (foot). But the French foot was about 6.5% greater than the British
+ Imperial foot. In the Anglo-American realm the typesetter's point was
+ based on the British Imperial inch, with the same
+ subdivisions. However, in the type foundries' industry the original
+ definition of a point drifted apart, and in the late 19th century
+ U.S. type foundries reestablished a slightly (0.375%) greater standard
+ point. This point made its way back to the British. However, recently,
+ the computer typesetting industry readjusted the point to its original
+ size of 1/72 inch. All three systems, however, are still being used
+ today.
+
+
+
+
+
+ Other Legacy Units
+
+
+ §43
+ legacy units for heat and temperature
+
+
+
+ ■1
+
+
+ Older units of heat (energy) and temperature are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are either not standardized or
+ standarized by other bodies and are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ The function pair denoted “
+ degf(5 K/9)
+ ” is
+ defined as
+ f
+ F
+ (
+ x
+ ) = 9/5
+ x
+ - 459.67 to convert
+ from kelvin to degree Fahrenheit, and
+ f
+ F
+ -1
+ (
+ x
+ ) = 5/9 (
+ x
+ + 459.67) to
+ convert from degree Fahrenheit back to kelvin.
+
+
+ ■5
+
+
+ The function pair denoted “
+ degre(5 K/4)
+ ” is
+ defined as
+ f
+ Ré
+ (
+ x
+ ) = 4/5
+ x
+ - 218.52 to convert
+ from kelvin to degree Réaumur, and
+ f
+ Ré
+ -1
+ (
+ x
+ ) = 5/4 (
+ x
+ + 218.52) to
+ convert from degree Réaumur back to kelvin.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Other Units for Heat and Temperature
+
+
degree Fahrenheit
+
temperature
+
°F
+
+ [degF]
+
+
+ [DEGF]
+
+
no
+
•
+
+ degf(5 K/9)
+
+
+
+
degree Rankine
+
temperature
+
°R
+
+ [degR]
+
+
+ [degR]
+
+
no
+
5
+
+ K/9
+
+
+
+
degree Réaumur
+
temperature
+
°Ré
+
+ [degRe]
+
+
+ [degRe]
+
+
no
+
•
+
+ degre(5 K/4)
+
+
+
+
calorie at 15 °C
+
energy
+
+ cal
+ 15°C
+
+
+ cal_[15]
+
+
+ CAL_[15]
+
+
yes
+
4.18580
+
+ J
+
+
+
+
calorie at 20 °C
+
energy
+
+ cal
+ 20°C
+
+
+ cal_[20]
+
+
+ CAL_[20]
+
+
yes
+
4.18190
+
+ J
+
+
+
+
mean calorie
+
energy
+
+ cal
+ m
+
+
+ cal_m
+
+
+ CAL_M
+
+
yes
+
4.19002
+
+ J
+
+
+
+
international table calorie
+
energy
+
+ cal
+ IT
+
+
+ cal_IT
+
+
+ CAL_IT
+
+
yes
+
4.1868
+
+ J
+
+
+
+
thermochemical calorie
+
energy
+
+ cal
+ th
+
+
+ cal_th
+
+
+ CAL_TH
+
+
yes
+
4.184
+
+ J
+
+
+
+
calorie
+
energy
+
cal
+
+ cal
+
+
+ CAL
+
+
yes
+
1
+
+ cal_th
+
+
+
+
nutrition label Calories
+
energy
+
Cal
+
+ [Cal]
+
+
+ [CAL]
+
+
no
+
1
+
+ kcal_th
+
+
+
+
British thermal unit at 39 °F
+
energy
+
+ Btu
+ 39°F
+
+
+ [Btu_39]
+
+
+ [BTU_39]
+
+
no
+
1.05967
+
+ kJ
+
+
+
+
British thermal unit at 59 °F
+
energy
+
+ Btu
+ 59°F
+
+
+ [Btu_59]
+
+
+ [BTU_59]
+
+
no
+
1.05480
+
+ kJ
+
+
+
+
British thermal unit at 60 °F
+
energy
+
+ Btu
+ 60°F
+
+
+ [Btu_60]
+
+
+ [BTU_60]
+
+
no
+
1.05468
+
+ kJ
+
+
+
+
mean British thermal unit
+
energy
+
+ Btu
+ m
+
+
+ [Btu_m]
+
+
+ [BTU_M]
+
+
no
+
1.05587
+
+ kJ
+
+
+
+
international table British thermal unit
+
energy
+
+ Btu
+ IT
+
+
+ [Btu_IT]
+
+
+ [BTU_IT]
+
+
no
+
1.05505585262
+
+ kJ
+
+
+
+
thermochemical British thermal unit
+
energy
+
+ Btu
+ th
+
+
+ [Btu_th]
+
+
+ [BTU_TH]
+
+
no
+
1.054350
+
+ kJ
+
+
+
+
British thermal unit
+
energy
+
btu
+
+ [Btu]
+
+
+ [BTU]
+
+
no
+
1
+
+ [Btu_th]
+
+
+
+
horsepower
+
power
+
+
+ [HP]
+
+
+ [HP]
+
+
no
+
550
+
+ [ft_i].[lbf_av]/s
+
+
+
+
tex
+
linear mass density (of textile thread)
+
tex
+
+ tex
+
+
+ TEX
+
+
yes
+
1
+
+ g/km
+
+
+
+
Denier
+
linear mass density (of textile thread)
+
den
+
+ [den]
+
+
+ [DEN]
+
+
no
+
1
+
+ g/9/km
+
+
+
+
+
+
+ The degree Fahrenheit was missing in ANSI X3.50. HL7's
+ “ISO+/ANS+” code defined the degree Fahrenheit under the
+ symbol “
+ DEGF
+ ” which is reflected here. This
+ is the reason why
+ The Unified Code for Units of Measure
+ does not define a new symbol
+ “
+ Fah
+ ” similar to
+ “
+ Cel
+ ” of
+ ISO 2955 for the degree Celsius.
+
+
+
+ Defining precise semantics for legacy units for “quantity of
+ heat” is difficult. The many variants of these units are
+ frequently confused because there is not just a calorie and not just a
+ british thermal unit. The different calories usually being used vary
+ by 1% but the confusion can result in an error as high as 100000%!
+ Thus, if exactness and non-ambiguity is important one should use the
+ joule to report amounts of heat, just like for any other energy and
+ work kind-of-quantities.
+
+
+
+ The gram-calorie, sometimes called “small calorie” is
+ defined as the amount of heat required to raise the temperature of 1
+ gram of Water from 14.5 °C to 15.5 °C. According to
+ Encyclopedia Britannica
+ , this is the calorie most often used in
+ engineering. There is also a less frequently used gram-calorie at
+ 19.5 °C to 20.5 °C and a mean calorie that is 1/100
+ of the amount of heat required to raise the temperature from
+ 0 °C to 100 °C. The
+ International Table
+
+ calorie is defined by the
+ International Conference on the
+ Properties of Steam
+ (1956) and is used in steam engineering. In
+ chemistry a “thermochemical” calorie is used for reaction
+ enthalpies.
+
+
+
+
+ To complete the confusion, there is also a kilogram-calorie (“large
+ calorie” , that has a similar definition based on a kilogram
+ instead of a gram of water. This kilocalorie has also been called
+ “calorie” in the sloppy speech of everyday life about
+ food. U.S. “Nutrition Facts” that label almost every
+ American food say “Calories: xxx” The
+ International
+ Union of Nutritional Sciences
+ recommends using either the joule
+ or a kilocalorie based on the thermochemical calorie. Because of a
+ perceived popular demand
+ The Unified Code for Units of Measure
+ defines the nutrition Calorie as
+ “
+ Cal
+ ” with the conventional captital first
+ letter. For the case insensitive variant of
+ The Unified Code for Units of Measure
+ , the symbol is
+ enclosed in square brackets (“
+ [CAL]
+ ”).
+
+
+
+
+ Only the International Table calorie and the thermochemical calorie
+ have exact definitions. To give some guidance in the confusing plenty
+ of different calories,
+ The Unified Code for Units of Measure
+ defines a default symbol
+ “
+ cal
+ ” as an alias for the thermochemical
+ calorie, because the calorie is mostly used today in medicine and
+ biochemistry. On the other hand, we consider engineers smart enough to
+ select the precise calorie they mean.
+
+
+
+
+ Similar to the calories, various “British Thermal Unit”
+ (Btu) are defined and the confusion continues. One Btu is defined as
+ the amount of heat necessary to raise the temperature of one
+ avoirdupois pound of water by one degree Fahrenheit beginning from
+ various temperatures (39 °F, 59 °F, or
+ 60 °F). There is also the International Table Btu and the
+ thermochemical Btu. Just as with the calorie we define a default
+ symbol “
+ Btu
+ ” as an alias for the
+ thermochemical Btu.
+
+
+
+
+
+ §44
+ units used predominantly in clinical medicine
+
+
+
+ ■1
+
+
+ Units used mainly in clinical medicine are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §34
+ .
+
+
+ ■3
+
+
+ The function pair denoted “
+ hpX(1 l)
+ ” is
+ defined as
+ f
+ hp X
+ (
+ x
+ ) = - lg
+ x
+ to
+ convert from a number fraction (dillution) per liter to the
+ homeopathic potency value of the decimal (X) series, and
+ f
+ hp
+ X
+ -1
+ (
+ x
+ ) = 10
+
+ -
+ x
+
+ to convert
+ from the potency value back to the number fraction. Likewise, the
+ function pair denoted “
+ hpC(1 l)
+ ” is defined
+ as
+ f
+ hp C
+ (
+ x
+ ) = - ln(
+ x
+ ) / ln(100)
+ to convert from a number fraction (dillution) per liter to the
+ homeopathic potency value of the centesimal (C) series, and
+ f
+ hp
+ C
+ -1
+ (
+ x
+ ) = 100
+
+ -
+ x
+
+ to convert
+ from the potency value back to the number fraction. Aanalogous
+ functions are defined for the millesimal (M) series with basis 1,000
+ and the series and the quintamillesimal (Q) series with basis 50,000.
+
+
+ ■4
+
+
+ The function pair denoted “
+ 100tan(1 rad)
+ ” is
+ defined as
+ f
+ PD
+ (
+ α
+ ) = tan(
+ α
+ ) * 100 to
+ convert from a plane angle
+ α
+ to a prism diopter value (or a
+ slope percent value) and
+ f
+ PD
+ -1
+ (
+ x
+ ) = arctan(
+ x / 100
+ ) to
+ convert from prism diopter (or slope percent) value
+ x
+ back to a plane angle.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Units Used Predominantly in Clinical Medicine
+
+
meter of water column
+
pressure
+
+ m H
+
+ 2
+
+ O
+
+
+ m[H2O]
+
+
+ M[H2O]
+
+
yes
+
9.80665
+
+ kPa
+
+
+
+
meter of mercury column
+
pressure
+
m Hg
+
+ m[Hg]
+
+
+ M[HG]
+
+
yes
+
133.3220
+
+ kPa
+
+
+
+
inch of water column
+
pressure
+
+ in H
+
+ 2
+
+ O
+
+
+ [in_i'H2O]
+
+
+ [IN_I'H2O]
+
+
no
+
1
+
+ m[H2O].[in_i]/m
+
+
+
+
inch of mercury column
+
pressure
+
in Hg
+
+ [in_i'Hg]
+
+
+ [IN_I'HG]
+
+
no
+
1
+
+ m[Hg].[in_i]/m
+
+
+
+
peripheral vascular resistance unit
+
fluid resistance
+
P.R.U.
+
+ [PRU]
+
+
+ [PRU]
+
+
no
+
1
+
+ mm[Hg].s/ml
+
+
+
+
Wood unit
+
fluid resistance
+
Wood U.
+
+ [wood'U]
+
+
+ [WOOD'U]
+
+
no
+
1
+
+ mm[Hg].min/L
+
+
+
+
diopter
+
refraction of a lens
+
dpt
+
+ [diop]
+
+
+ [DIOP]
+
+
no
+
1
+
+ /m
+
+
+
+
prism diopter
+
refraction of a prism
+
PD
+
+ [p'diop]
+
+
+ [P'DIOP]
+
+
no
+
•
+
+ 100tan(1 rad)
+
+
+
+
percent of slope
+
slope
+
%
+
+ %[slope]
+
+
+ %[SLOPE]
+
+
no
+
•
+
+ 100tan(1 rad)
+
+
+
+
mesh
+
lineic number
+
+
+ [mesh_i]
+
+
+ [MESH_I]
+
+
no
+
1
+
+ /[in_i]
+
+
+
+
Charrière, french
+
gauge of catheters
+
Ch
+
+ [Ch]
+
+
+ [CH]
+
+
no
+
1
+
+ mm/3
+
+
+
+
drop
+
volume
+
drp
+
+ [drp]
+
+
+ [DRP]
+
+
no
+
1
+
+ ml/20
+
+
+
+
Hounsfield unit
+
x-ray attenuation
+
HF
+
+ [hnsf'U]
+
+
+ [HNSF'U]
+
+
no
+
1
+
+ 1
+
+
+
+
metabolic equivalent
+
metabolic cost of physical activity
+
MET
+
+ [MET]
+
+
+ [MET]
+
+
no
+
3.5
+
+ mL/min/kg
+
+
+
+
homeopathic potency of decimal series (retired)
+
homeopathic potency (retired)
+
X
+
+ [hp'_X]
+
+
+ [HP'_X]
+
+
no
+
•
+
+ hpX(1 1)
+
+
+
+
homeopathic potency of centesimal series (retired)
+
homeopathic potency (retired)
+
C
+
+ [hp'_C]
+
+
+ [HP'_C]
+
+
no
+
•
+
+ hpC(1 1)
+
+
+
+
homeopathic potency of millesimal series (retired)
+
homeopathic potency (retired)
+
M
+
+ [hp'_M]
+
+
+ [HP'_M]
+
+
no
+
•
+
+ hpM(1 1)
+
+
+
+
homeopathic potency of quintamillesimal series (retired)
+
homeopathic potency (retired)
+
Q
+
+ [hp'_Q]
+
+
+ [HP'_Q]
+
+
no
+
•
+
+ hpQ(1 1)
+
+
+
+
homeopathic potency of decimal hahnemannian series
+
homeopathic potency (Hahnemann)
+
X
+
+ [hp_X]
+
+
+ [HP_X]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of centesimal hahnemannian series
+
homeopathic potency (Hahnemann)
+
C
+
+ [hp_C]
+
+
+ [HP_C]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of millesimal hahnemannian series
+
homeopathic potency (Hahnemann)
+
M
+
+ [hp_M]
+
+
+ [HP_M]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of quintamillesimal hahnemannian series
+
homeopathic potency (Hahnemann)
+
Q
+
+ [hp_Q]
+
+
+ [HP_Q]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of decimal korsakovian series
+
homeopathic potency (Korsakov)
+
X
+
+ [kp_X]
+
+
+ [KP_X]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of centesimal korsakovian series
+
homeopathic potency (Korsakov)
+
C
+
+ [kp_C]
+
+
+ [KP_C]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of millesimal korsakovian series
+
homeopathic potency (Korsakov)
+
M
+
+ [kp_M]
+
+
+ [KP_M]
+
+
no
+
•
+
•
+
+
+
homeopathic potency of quintamillesimal korsakovian series
+
homeopathic potency (Korsakov)
+
Q
+
+ [kp_Q]
+
+
+ [KP_Q]
+
+
no
+
•
+
•
+
+
+
+
+
+ Clinical medicine all over the world still uses mm Hg to
+ measure arterial blood pressure, and often the instruments used are
+ real mercury columns. Likewise, the central venous blood pressure is
+ often measured using simple water columns which is very practical for
+ the routine. The units m H
+ 2
+ O and m Hg
+ are metric units even though they are “not accepted” for
+ use with the SI for quite a while. Although more and more hospitals in
+ Europe switch to using the pascal to measure partial pressures in
+ blood gas analysis, the older units will not vanish any time soon.
+
+
+
+ In the U.S. the inch is sometimes used instead of the millimeter, and
+ because the inch is non-metric the inch of mercury or water columns is
+ non-metric as well.
+
+
+ The peripheral vascular resistance unit is the vascular resistance on
+ which a perfusion pressure of 1 mm Hg causes a flow of
+ 1 ml/s.
+
+
+ The “mesh” occurs in the NIST Guide to the SI. It seems like it is
+ the customary counterpart of the diopter.
+
+
+ The unit “charrière” originates from a French manufacturer of
+ medical instruments by that name. One charrière is the gauge of a
+ catheter with a circumference of approximately 1 mm
+ such that it is by convention exactly one third of a millimeter.
+ In the U.S. the charrière is simply called “french”
+
+
+
+
+ Note that
+ Unified Code for Units of Measure
+ versions prior to 1.9 defined this unit as 1/π, this use,
+ however this was never common use of the unit.
+ This is why the definition has been corrected instead of adding another one.
+
+
+
+
+ A drop is a variable amount of fluid and depends on the device and
+ technique used to produce the drop and on the physical properties of
+ the fluid. This is similar to units like cup, tablespoon, and teaspoon
+ that depend on the spoon or cup and are not exact either. However, in
+ clinical medicine medication is dispensed by drops and unlike a
+ “tablet” a drop refers to a real physical kind of quantity, volume,
+ though not very exact.
+
+
+
+
+ Note that
+ Unified Code for Units of Measure
+ versions prior to 1.9 defined this unit as mL/12, this use,
+ however this was not common use of the unit.
+ This is why the definition has been corrected instead of adding another one.
+ Typically it is stated as mL/20.
+ Original research using a 20 mL syringe filled to 5 mL shows that
+ 1 mL has 25 drops of water,
+ when tensides are added, the number goes up to 45.
+ A saturated saline solution required 30 and plant oil 35.
+ The speed of dropping, pressure and position of the syringe or the lumen of the outlet,
+ open or partially clogged with wax,
+ did not have a significant influence on the number of drops.
+ While the original research suggests that the division should be by 25 or more, we use the common notion.
+ It is discouraged to use the drop as any standard unit.
+
+
+
+
+ The Hounsfield unit is a unit of X-ray attenuation used in evaluating
+ CT scans. It is defined on an interval scale where air is -1000 HF,
+ water is 0 HF and bone is +1000 HF. Any advice as to how this unit can
+ be related to metric units of radiant intensity decremence is
+ appreciated.
+
+
+ We have always pointed out that the homeopathic teaching takes potency
+ not as equivalent to dillution and the C and X series would not equate
+ to each other in the strictly numerical manner. Homeopathic potency
+ includes the “agitation” (a vigorous shaking) that needs
+ to occur in every step of the dilluting process. Therefore as of April 2010,
+ the hoemeopathic units are declared "arbitrary units", that is, they
+ are no longer convertible. Therefore, also, we discontinue defining them
+ using the dillution functions. The dillution functions sometimes cause
+ truly astronomical values, leading to overflow conditions, e.g. in
+ such potencies as 30 C or 100 X or 10 M, which do actually occur in
+ hoemeopathics that are on the market. The previous units continue to
+ exist as "retired", but their symbols now have a prime (apostrophe) in
+ them.
+
+
+
+
+ §45
+ chemical and biochemical units
+
+
+
+ ■1
+
+
+ Units used mainly in chemical and biochemical laboratories are defined
+ in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §43
+ .
+
+
+ ■3
+
+
+ The function pair denoted “
+ ph(1 mol/l)
+ ” is
+ defined as
+ f
+ pH
+ (
+ x
+ ) = - lg
+ x
+ to
+ convert from moles per liter to the pH value, and
+ f
+ pH
+ -1
+ (
+ x
+ ) = 10
+
+ -
+ x
+
+
+ to convert from the pH value back to moles per liter.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Units used in Chemical and Biomedical Laboratories
+
+
equivalents
+
amount of substance
+
eq
+
+ eq
+
+
+ EQ
+
+
yes
+
1
+
+ mol
+
+
+
+
osmole
+
amount of substance (dissolved particles)
+
osm
+
+ osm
+
+
+ OSM
+
+
yes
+
1
+
+ mol
+
+
+
+
pH
+
acidity
+
pH
+
+ [pH]
+
+
+ [PH]
+
+
no
+
•
+
+ pH(1 mol/l)
+
+
+
+
gram percent
+
mass concentration
+
g%
+
+ g%
+
+
+ G%
+
+
yes
+
1
+
+ g/dl
+
+
+
+
Svedberg unit
+
sedimentation coefficient
+
S
+
+ [S]
+
+
+ [S]
+
+
no
+
1
+
+ 10*-13.s
+
+
+
+
high power field
+
view area in microscope
+
HPF
+
+ [HPF]
+
+
+ [HPF]
+
+
no
+
1
+
+ 1
+
+
+
+
low power field
+
view area in microscope
+
LPF
+
+ [LPF]
+
+
+ [LPF]
+
+
no
+
100
+
+ 1
+
+
+
+
katal
+
catalytic activity
+
kat
+
+ kat
+
+
+ KAT
+
+
yes
+
1
+
+ mol/s
+
+
+
+
Unit
+
catalytic activity
+
U
+
+ U
+
+
+ U
+
+
yes
+
1
+
+ umol/min
+
+
+
+
international unit
+
arbitrary
+
IU
+
+ [iU]
+
+
+ [IU]
+
+
yes
+
•
+
•
+
+
+
international unit
+
arbitrary
+
i.U.
+
+ [IU]
+
+
+ [IU]
+
+
yes
+
•
+
•
+
+
+
arbitary unit
+
arbitrary
+
arb. U
+
+ [arb'U]
+
+
+ [ARB'U]
+
+
no
+
•
+
•
+
+
+
United States Pharmacopeia unit
+
arbitrary
+
U.S.P.
+
+ [USP'U]
+
+
+ [USP'U]
+
+
no
+
•
+
•
+
+
+
GPL unit
+
biologic activity of anticardiolipin IgG
+
+
+ [GPL'U]
+
+
+ [GPL'U]
+
+
no
+
•
+
•
+
+
+
MPL unit
+
biologic activity of anticardiolipin IgM
+
+
+ [MPL'U]
+
+
+ [MPL'U]
+
+
no
+
•
+
•
+
+
+
APL unit
+
biologic activity of anticardiolipin IgA
+
+
+ [APL'U]
+
+
+ [APL'U]
+
+
no
+
•
+
•
+
+
+
Bethesda unit
+
biologic activity of factor VIII inhibitor
+
+
+ [beth'U]
+
+
+ [BETH'U]
+
+
no
+
•
+
•
+
+
+
anti factor Xa unit
+
biologic activity of factor Xa inhibitor (heparin)
+
+
+ [anti'Xa'U]
+
+
+ [ANTI'XA'U]
+
+
no
+
•
+
•
+
+
+
Todd unit
+
biologic activity antistreptolysin O
+
+
+ [todd'U]
+
+
+ [TODD'U]
+
+
no
+
•
+
•
+
+
+
Dye unit
+
biologic activity of amylase
+
+
+ [dye'U]
+
+
+ [DYE'U]
+
+
no
+
•
+
•
+
+
+
Somogyi unit
+
biologic activity of amylase
+
+
+ [smgy'U]
+
+
+ [SMGY'U]
+
+
no
+
•
+
•
+
+
+
Bodansky unit
+
biologic activity of phosphatase
+
+
+ [bdsk'U]
+
+
+ [BDSK'U]
+
+
no
+
•
+
•
+
+
+
King-Armstrong unit
+
biologic activity of phosphatase
+
+
+ [ka'U]
+
+
+ [KA'U]
+
+
no
+
•
+
•
+
+
+
Kunkel unit
+
arbitrary biologic activity
+
+
+ [knk'U]
+
+
+ [KNK'U]
+
+
no
+
•
+
•
+
+
+
Mac Lagan unit
+
arbitrary biologic activity
+
+
+ [mclg'U]
+
+
+ [MCLG'U]
+
+
no
+
•
+
•
+
+
+
tuberculin unit
+
biologic activity of tuberculin
+
+
+ [tb'U]
+
+
+ [TB'U]
+
+
no
+
•
+
•
+
+
+
50% cell culture infectious dose
+
biologic activity (infectivity) of an infectious agent preparation
+
+ CCID
+ 50
+
+
+ [CCID_50]
+
+
+ [CCID_50]
+
+
no
+
•
+
•
+
+
+
50% tissue culture infectious dose
+
biologic activity (infectivity) of an infectious agent preparation
+
+ TCID
+ 50
+
+
+ [TCID_50]
+
+
+ [TCID_50]
+
+
no
+
•
+
•
+
+
+
50% embryo infectious dose
+
biologic activity (infectivity) of an infectious agent preparation
+
+ EID
+ 50
+
+
+ [EID_50]
+
+
+ [EID_50]
+
+
no
+
•
+
•
+
+
+
plaque forming units
+
amount of an infectious agent
+
PFU
+
+ [PFU]
+
+
+ [PFU]
+
+
no
+
•
+
•
+
+
+
focus forming units
+
amount of an infectious agent
+
FFU
+
+ [FFU]
+
+
+ [FFU]
+
+
no
+
•
+
•
+
+
+
colony forming units
+
amount of a proliferating organism
+
CFU
+
+ [CFU]
+
+
+ [CFU]
+
+
no
+
•
+
•
+
+
+
index of reactivity
+
amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.
+
IR
+
+ [IR]
+
+
+ [IR]
+
+
no
+
•
+
•
+
+
+
bioequivalent allergen unit
+
amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters
+
BAU
+
+ [BAU]
+
+
+ [BAU]
+
+
no
+
•
+
•
+
+
+
allergen unit
+
procedure defined amount of an allergen using some reference standard
+
AU
+
+ [AU]
+
+
+ [AU]
+
+
no
+
•
+
•
+
+
+
allergen unit for Ambrosia artemisiifolia
+
procedure defined amount of the major allergen of ragweed.
+
Amb a 1 U
+
+ [Amb'a'1'U]
+
+
+ [AMB'A'1'U]
+
+
no
+
•
+
•
+
+
+
protein nitrogen unit
+
procedure defined amount of a protein substance
+
PNU
+
+ [PNU]
+
+
+ [PNU]
+
+
no
+
•
+
•
+
+
+
Limit of flocculation
+
procedure defined amount of an antigen substance
+
Lf
+
+ [Lf]
+
+
+ [LF]
+
+
no
+
•
+
•
+
+
+
D-antigen unit
+
procedure defined amount of a poliomyelitis d-antigen substance
+
+
+ [D'ag'U]
+
+
+ [D'AG'U]
+
+
no
+
•
+
•
+
+
+
fibrinogen equivalent unit
+
amount of fibrinogen broken down into the measured d-dimers
+
+
+ [FEU]
+
+
+ [FEU]
+
+
no
+
•
+
•
+
+
+
ELISA unit
+
arbitrary ELISA unit
+
+
+ [ELU]
+
+
+ [ELU]
+
+
no
+
•
+
•
+
+
+
Ehrlich unit
+
Ehrlich unit
+
+
+ [EU]
+
+
+ [EU]
+
+
no
+
•
+
•
+
+
+
+
+
+ The amount of electrolytes (including acids and bases) is often
+ reported as
+ equivalents
+ instead of amount of substance. This
+ habit originates in the measuring technique of titration.
+ The Unified Code for Units of Measure
+
+ does not endorse using equivalents. We rather recommend to calculate
+ the proper amount of substance after titration, so that
+ 1 eq of Na
+ +
+ ions is 1 mol, but
+ 1 eq of Ca
+ ++
+ ions is
+ 0.5 mol. The problem with equivalents is that the measurement
+ results are difficult to compare because their magnitude depends on
+ the degree of ionization of the substance. That is to say, the meaning
+ of equivalents depend not only on the substance, but also on the state
+ that the substance is in. For example, in iron we have to distinguish
+ Fe
+ 2+
+ from Fe
+ 3+
+ , so that noone can be sure how much 1 eq
+ of iron really is.
+
+
+
+
+ Degrees of acidity are normally measured as “the pH value” that is
+ the negative decadic logarithmus of the concentration of free protons
+ (or hydronium ions) expressed in 1 mol/l. Usually the pH value
+ is considered a dimensionless quantity. With the semantics of special
+ units (
+ §§21ff
+ ).
+ The Unified Code for Units of Measure
+ can link the pH value tighter to the system
+ of proper units. Thus “
+ [pH]
+ ” is defined as a unit symbol with
+ the corresponding unit 1 mol/l. This allows conversions between
+ pH and concentrations, and---because
+ The Unified Code for Units of Measure
+ identifies the mole with
+ the Avogadro number---can be converted to an absolute number of
+ protons: for example, pH 7.4 converts instantly to 0.04 μmol/l
+ and approximately 23975 protons per picoliter.
+
+
+
+ The unit osmol as the amount of dissolved particles is to be used with
+ caution because it interferes with “osmolar” which is the amount of
+ dissolved particles per liter.
+
+
+
+ The gram-percent (g%) is a metric unit that has the same origin as
+ %vol. Originally it was a dimensionless quanitiy expressing a ratio of
+ two masses and thus equal to 1/100 g/g. Because water is the most
+ important solvent in biochemistry and 1 g of a solution in water
+ has a volume of approximately 1 ml, the meaning of the unit
+ 1 g% drifted towards 1/100 g/ml and farther off to
+ 1 g/dl. That way, the unit 1 g% regained a proper dimension
+ (mass concentration,
+ M
+ /
+ L
+ 3
+ ). Most
+ often it is used as 1 mg% = 1 mg/dl but all other SI
+ prefixes are possible.
+
+
+
+ The Svedberg unit S is used to classify macromolecules (e.g.,
+ ribosomes) in different phases of a centrifugate.
+
+
+ The units “high power field” (HPF) and “low power field” (LPF) are
+ used in microscopic analysis mostly of urine sediments. These units
+ are used in semi-quantitative estimations of the abundance of things
+ like crystals, bacteria or red and white blood cells. The number of
+ the objects of interest is counted in one view field in the microscope
+ with a 10 times (low) or 100 times (high) magnifying objective lens
+ and then reported as the number per LPF or per HPF
+ respectively. Obviously the number of objects seen depends on the way
+ the slide is prepared: the amount of emulgate dropped, its initial
+ dilution, and the way the drop is smeared. These preparations of the
+ slides are usually carried out with great routine but little
+ exactness, hence LPF and HPF can hardly relate to any exact and
+ meaningful volume.
+
+
+
+ The best we could do is to define LPF and HPF as areas of the viewed
+ field. However, the area of the field varies with the kind of eyepiece
+ used in the microscope. The so called “field number” of
+ the eyepiece, i.e., the diameter of the view area is typically between
+ 18 mm and 25 mm which is divided by the magnification of the
+ objective lense to yield the actual field diameter
+ d
+ . Because the
+ area
+ A
+ = π d
+ 2
+ , the LPF can be anywhere
+ between 2.5 mm^2 and 5 mm^2 and the HPF between
+ 0.025 mm^2 and 0.05 mm^2. Because of this inexactness, we
+ define LPF and HPF as dimensionless quantities with magnitudes that
+ reflect the ratio of the view areas, i.e. 100:1. This allows at least
+ to convert between numbers per LPF and per HPF and vice versa.
+
+
+
+
+ The unit “U” of enzymatic activity was defined in 1964 by
+ the
+ International Union of Biochemistry
+ as the catalytic
+ activity that catalyzes the transformation of 1 μmol of the
+ substrate per minute. This unit is defined so that normal biological
+ enzyme activities are in the range of 1 U-100 U. This unit
+ could not be adopted by the CGPM because it violates the style rules
+ of the SI, i.e. “unit” is a very indistinctive word,
+ “U” is a capital letter, and the definition is not
+ coherent with the SI.
+
+
+
+ An SI-coherent unit katal 1 kat = 1 mol/s, had been proposed
+ for adoption into the SI over 30 years ago and was finally adopted by
+ the CGPM in 1999. However, perhaps because the unit katal is 7 orders
+ of magnitudes greater than normal catalytic activities, in practice
+ the katal has not gained much in popularity over the unit
+ “U”.
+
+
+
+ In its 1999 decision to add the katal to the SI, the CGPM explicitly
+ “recommends that when the katal is used, the measurand be
+ specified by reference to the measurement procedure; the measurement
+ procedure must identify the indicator reaction.” The general
+ problem with catalytic activities is that these heavily depend not
+ only on the substance but on many side-conditions, such as
+ temperature, acidity of the solution, presence or absence of
+ cofactors, inhibitors or activators, and the amount of substrate.
+ Particularly a catalytic activity measured
+ in vitro
+ says
+ little about the activity
+ in vivo
+ . Hence the use of katal
+ alone without specifying exactly the measurement method, is not
+ sufficient to improve comparability of the measurement of catalytic
+ substances.
+
+
+
+
+ Because of the influence of the measurement method, results of
+ biologic activity measurement cannot usually be converted. This is a
+ particular problem with the many named arbitrary units that are still
+ used.
+ The Unified Code for Units of Measure
+ initially defined all arbitrary units as
+ dimensionless. But since this leads to the false conclusion that all
+ arbitrary units are the same, the
+ Unified Code for Units of Measure
+ now accounts for arbitrary units
+ using a special flag. When a unit is marked as arbitrary, it is
+ isolated from all other units, and no result can be converted from
+ and to that unit (See
+ §24
+ ).
+
+
+
+
+ The unit “TCID
+ 50
+ ” expresses the result of
+ quantifying an infectious agent in tissue culture. It is a titer, expressing the
+ highest dilution of the specimen which produces a cytopathic effect in
+ 50% of the cell cultures or wells inoculated.
+
+ [Sources: Clinical Microbiology Reviews, July 1998, Vol. 11(3), p. 533-554]
+
+
+
+
+ The unit “CCID
+ 50
+ ” expresses the result of
+ quantifying an infectious agent in a cell culture. It is a titer, expressing the
+ highest dilution of the specimen which produces a cytopathic effect in
+ 50% of the cell cultures or wells inoculated.
+
+ [Sources: Schmidt NJ. Cell culture procedures for diagnostic
+ virology, p. 78-79. In Schmidt NJ, Emmons RW (ed.),
+ Diagnostic procedures for viral, rickettsial and chlamydial
+ infections
+ , 5th ed. American Public Health Association, Inc.,
+ Washington, D.C.]
+
+
+
+ The unit “PFU” measures viral infectivity in a sensitive assay in cell
+ culture where the titer is determined by counting the number of
+ visible plaques developed following viral infection of a sensitive
+ cell culture and results recorded as PFU/ml.
+
+
+
+ The unit “FFU” measures viral infectivity in a sensitive
+ assay in cell culture, for example, using immunofocus or vital dyes
+ technology. For example, the titer is determined by visualizing
+ infected areas of a cell monolayer by probing with virus-specific
+ antibodies and results are recorded as FFU/ml.
+
+ [Sources:
+ WHO expert committee on biological standardization (55th Edition).
+ WHO Technical Report #932;]
+
+
+
+
+ The unit “BAU” measures amount of an allergen based on an in-vivo callibrated test using the Intradermal Dilution for 50mm sum of Erythema Diameters (ID50EAL) Method.
+
+ [Source:
+ Turkeltaub PC. Biological Standardization based on
+ Quantitative Skin Testing - The 1D50 EAL Method. Arbeiten aus dem
+ Paul-Ehrlich-Institut, dem Georg-Speyer-Haus und dem
+ Ferdinand-Blum-Institut, Band 80 Gustav Fischer Verlag' Stuttgart, New
+ York. 1987
+ ]
+
+
+
+ EDITORIAL NOTE: This method needs to be further investigated to
+ determine a quantitative model which relates that would relate 1 BAU
+ with a standardized amount of substance of the standardized allergenic
+ protein. The situation is not unlike the titer and is not worse than
+ for many of the arbitrary units listed already. In a future revision a
+ stronger formalized metrologic model will be added to this
+ specification.
+
+
+
+ The unit “AU” (for allergen unit) is for the amount of an
+ allergen based some procedure defined and allergen specific reference
+ standard. Note, do not confuse with astronomical unit, distinguish
+ [AU]
+ from
+ AU
+
+
+ The unit “IR” has been defined to measure the
+ allergenicity of an allergen extract. The allergen extract contains
+ 100 IR/ml when, on a skin prick-test using a Stallerpoint®, it induces
+ a wheal diameter of 7 mm in 30 patients sensitized to this allergen,
+ (geometric mean). The cutaneous reactivity of these patients is
+ simultaneously demonstrated by a positive skin prick-test to either 9
+ % codeine phosphate or 10 mg/ml histamine. The IR unit of Stallergenes
+ is not comparable to the units used by other allergen manufacturers.
+
+
+ EDITORIAL NOTE: Should more manufacturer specific units come up in the
+ future, we will include a manufacturer abbreviation in the unit symbol.
+
+
+ The unit “Amb a 1 U” is an arbitrary unit for the
+ amount of Amb a 1, a 38 kD glycoprotein that is the major allergen in
+ short ragweed (Ambrosia artemisiifolia) pollen allergen extracts. The
+ amount of Amb a 1 units are determined by an in-vitro comparison of a
+ test short ragweed extract to a FDA CBER Amb a 1 reference standard.
+ Amb a 1 is the up-to-date term for the short ragweed pollen allergen
+ that was originally described as Antigen E. They are
+ synonyms. Although Antigen E is no longer used in the scientific
+ literature, its meaning is unambiguous. The manufacturers are still
+ licensed to use Antigen E as the designation. Therefore, Amb a 1 U =
+ AgE U. There is an empiric relationship between Amb a 1 U and BAU
+ (350 Amb a 1 U/mL = 100,000 BAU/mL). It was based on studies done
+ decades ago on 15 study subjects. FDA's CBER considered mandating a
+ conversion to BAU/mL in the labeling of short ragweed pollen products,
+ based on AgE content, but this was never implemented. CBER provides
+ two US standard reagents to manufacturers for their determination of
+ Amb a 1 content, a reference standard and a reference serum. The assay
+ used is a radial immunodiffusion assay (RID). Solid references
+ discussing the relationship between Antigen E U/mL/Amb a 1 U/mL and
+ micrograms of Antigen E U/mL/Amb a 1/mL are being researched.
+
+
+ EDITORIAL NOTE: The University of Texas' Structural Database of
+ Allergenic Proteins (SDAP) contains close to 1000 allergens,
+ isoallergens. Comparing the prospect of thousands of such special
+ units for every allergen, one begins to appreciate even the
+ metrologically comlex BAU unit.
+
+
+ The unit “PNU” is defined as follows: 1 PNU/ml is
+ equivalent to 1 x 10-5 mg of nitrogen determined to be in the material
+ precipitated from 1 ml of allergenic extract by phosphotungstic acid
+ (micro-Kjeldahl method). Typically, 1 mg of protein nitrogen equals
+ 100,000 PNU. The unit “PNU” is an old protein unit
+ unrelated to SI units. Several hundred products, from several
+ manufacturers, are labeled in PNUs, and a switch to SI units for
+ protein content is impractical.
+
+
+ The unit “Lf” is called the “Limit of
+ Floculation” or “limes flocculationis”. It is based
+ on an antigen-antibody precipitation reaction and used for the
+ quantification of the antigenic content of tetanus and diphteria toxin
+ and toxoid. The limes flocculationis is the smallest amount of antigen
+ that when mixed with one unit (Ramon) of antitoxin (antibody),
+ produces the most rapid floccules in the flocculation test. For a
+ purified crystalline tetanus or diphteria toxin 1 Lf is equivalent to
+ ~ 2 μg of protein. For tetanus and diphtheria toxoids, antigenic
+ purity is defined and controlled by Lf units per mg of protein
+ nitrogen.
+
+
+
+ Many sources describe the unit of antitoxin as "international unit"
+ (IU), however, this is no longer correct. It was correct for the first
+ international standard for antitoxin, established in 1920s. It had an
+ arbitrary unit defined as IU for in vivo antitoxic activity and that
+ unit was also used for establishing Lf units of toxins and toxoids,
+ that is why this standard had a ratio of 1 between flocculating
+ activity (Lf) and antitoxic activity (IU). When WHO replaced that
+ standard in 1970s, the second international standard related to Lf by
+ a factor of 1.4 instead of 1. Ultimately, WHO decided to move to the
+ toxoid standards and calibrated tetanus toxoid for flocculation using
+ Lf unit (not IU). With the implementation of WHO standards for
+ flocculation as tetanus and diphtheria toxoids, antitoxin standards
+ were discontinued by the WHO. [Source:
+ Lyng J. Quantitative
+ Estimation of Diphtheria and Tetanus Toxoids - 4 - Toxoids as
+ International Reference Materials Defining Lf-units for Diphtheria and
+ Tetanus Toxoids. Biologicals (1990) 18, 11-17.
+ Also on the
+ definition of the IU for antitoxin:
+ Spaun J, Lyng J. Replacement
+ of the International Standard for Tetanus Antitoxin and the Use of the
+ Standard in the Flocculation Test. Bull. Wid Hith Org. 1970, 42,
+ 523-534.
+ http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2427455
+ and
+ personal communication with FDA CBER representatives.]
+
+
+
+
+
+ §46
+ levels
+
+
+
+ ■1
+
+
+ Pseudo-units defined to express logarithms of ratios between two
+ quantities of the same kind are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §43
+ .
+
+
+ ■3
+
+
+ The function pairs denoted “
+ ln
+ ”
+ “
+ lg
+ ” and “
+ 2lg
+ ” are
+ defined as the natural logarithm, the decadic logarithm, and the
+ decadic logarithm times two with their respective inverse functions.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Levels
+
+
neper
+
level
+
Np
+
+ Np
+
+
+ NEP
+
+
yes
+
•
+
+ ln(1 1)
+
+
+
+
bel
+
level
+
B
+
+ B
+
+
+ B
+
+
yes
+
•
+
+ lg(1 1)
+
+
+
+
bel sound pressure
+
pressure level
+
B(SPL)
+
+ B[SPL]
+
+
+ B[SPL]
+
+
yes
+
•
+
+ 2lg(2 10*-5.Pa)
+
+
+
+
bel volt
+
electric potential level
+
B(V)
+
+ B[V]
+
+
+ B[V]
+
+
yes
+
•
+
+ 2lg(1 V)
+
+
+
+
bel millivolt
+
electric potential level
+
B(mV)
+
+ B[mV]
+
+
+ B[MV]
+
+
yes
+
•
+
+ 2lg(1 mV)
+
+
+
+
bel microvolt
+
electric potential level
+
B(μV)
+
+ B[uV]
+
+
+ B[UV]
+
+
yes
+
•
+
+ 2lg(1 uV)
+
+
+
+
bel 10 nanovolt
+
electric potential level
+
B(10 nV)
+
+ B[10.nV]
+
+
+ B[10.NV]
+
+
yes
+
•
+
+ 2lg(10 nV)
+
+
+
+
bel watt
+
power level
+
B(W)
+
+ B[W]
+
+
+ B[W]
+
+
yes
+
•
+
+ lg(1 W)
+
+
+
+
bel kilowatt
+
power level
+
B(kW)
+
+ B[kW]
+
+
+ B[KW]
+
+
yes
+
•
+
+ lg(1 kW)
+
+
+
+
+
+
+ These units are “pseudo-units” because of their standardized
+ definition as being logarithms of a ratio of two measurements with the
+ same kind-of-quantity: first, the units cancel out, and second, the
+ logarithm does not produce a new unit. These units were defined as
+ “metric” because they are used as such, although a multiplication
+ operation is not defined on these quantities. Multiplication of the
+ measurement value with a scalar
+ r
+ is equivalent to raising the
+ original ratio to the
+ r
+ -th power.
+
+
+
+ According to NIST, the neper is used as the ratio level of field
+ quantities and the bel is used for the level of power quantities. The
+ factor 2 comes into play when field quantities (like electric
+ potential) are expressed in decibel. The specialized bel-units B(V),
+ B(mV), B(W), etc. are defined as the level of the measured quantity
+ with reference quantities 1 V, 1 mV, and 1 W
+ respectively. [NIST Sp. Pub. 811, 1995 Edition]
+
+
+ Given the sound pressure level expressed in dB(SPL) it is feasible to
+ define dB(A) for the A scale of loudness. Similar units such as phon
+ and sone could be defined as well if a good approximation for the
+ respective characteristic functions are available. Any advice is
+ welcome.
+
+
+
+
+ §47
+ miscellaneous units
+
+
+
+ ■1
+
+
+ Not otherwise classified units are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §30
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,”
+ “M,” “value,” and “definition” are
+ normative. Full name and print symbol are either not standardized or
+ standarized by other bodies and are out of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ The function pair denoted “
+ sqrt
+ ” is defined as
+ the square root with its respective inverse function, the square.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Miscellaneous Units
+
+
stere
+
volume
+
st
+
+ st
+
+
+ STR
+
+
yes
+
1
+
+ m3
+
+
+
+
Ångström
+
length
+
Å
+
+ Ao
+
+
+ AO
+
+
no
+
0.1
+
+ nm
+
+
+
+
barn
+
action area
+
b
+
+ b
+
+
+ BRN
+
+
no
+
100
+
+ fm2
+
+
+
+
technical atmosphere
+
pressure
+
at
+
+ att
+
+
+ ATT
+
+
no
+
1
+
+ kgf/cm2
+
+
+
+
mho
+
electric conductance
+
mho
+
+ mho
+
+
+ MHO
+
+
yes
+
1
+
+ S
+
+
+
+
pound per sqare inch
+
pressure
+
psi
+
+ [psi]
+
+
+ [PSI]
+
+
no
+
1
+
+ [lbf_av]/[in_i]2
+
+
+
+
circle
+
plane angle
+
circ
+
+ circ
+
+
+ CIRC
+
+
no
+
2
+
+ [pi].rad
+
+
+
+
spere
+
solid angle
+
sph
+
+ sph
+
+
+ SPH
+
+
no
+
4
+
+ [pi].sr
+
+
+
+
metric carat
+
mass
+
+ ct
+ m
+
+
+ [car_m]
+
+
+ [CAR_M]
+
+
no
+
0.2
+
+ g
+
+
+
+
carat of gold alloys
+
mass fraction
+
+ ct
+
+ Au
+
+
+
+ [car_Au]
+
+
+ [CAR_AU]
+
+
no
+
1
+
+ /24
+
+
+
+
Smoot
+
length
+
+
+ [smoot]
+
+
+ [SMOOT]
+
+
no
+
67
+
+ [in_i]
+
+
+
+
meter per square seconds per square root of hertz
+
amplitude spectral density
+
+
+ [m/s2/Hz^(1/2)]
+
+
+ [M/S2/HZ^(1/2)]
+
+
no
+
•
+
+ sqrt(1 m2/s4/Hz)
+
+
+
+
+
+
+ Although called “metric carat,” the carat really is a
+ customary unit, still used for precious gems. The word carat comes
+ from greek
+ κερατίκον (small
+ horn) that originally was the horn-shaped grain of a locust-tree
+ species in the pea family, hence the carat grain is about three barley
+ grain that the other English systems of weights are based on. The arab
+ carat was 1/24 of an ounce, the Imperial carat (1877) was
+ 205.3 mg or 3.168 grain. In other European cities, the carat
+ was 205.8 mg (Hamburg, Lisboa) but there were great variations
+ from 188.5 mg (Bologna) to 213.5 mg (Torino). Due to these
+ variations no customary carat has gained importance today aside from
+ the “metric carat” defined as 200 mg exactly.
+ [
+ All About Carats
+ URL:
+ http://www.channel1.com/users/scales/carat-def.htm
+ ]
+
+
+
+ The “Mark” was a mass unit for precious metals (Köln 234 g,
+ Paris 245 g, Wien 277 g). A mark of gold was subdivided into
+ 24 “karat,” a mark of silver into 16 “lot.” This led to the other
+ use of the unit “carat” to mean 1/24 in measuring the finesse of
+ pure gold in an alloy. For example, an 8 carat gold alloy contains 8
+ parts of gold on 16 parts of silver = 8/24 = 1/3, or 333 per
+ mille. This carat is spelled “karat” in the U.S. while other
+ countries do not use different spellings.
+
+
+
+ The unit “
+ [m/s2/Hz^(1/2)]
+ ” is defined as a special unit to represent the odd fractional exponent of the second obtaining for the unit of the amplitude spectral density (ASD). It is defined based on the unit for the power spectral density (PSD), that is 1 (m/s2)
+ 2
+ /Hz or 1 m
+ 2
+ · s
+ -3
+ . Since the two measurements are directly comparable, PSD = ASD
+ 2
+ .
+
+
+
+
+
+ Prefixes and Units Used in Information Technology
+
+
+ §48
+ units used in information technology
+
+
+
+ ■1
+
+
+ Units used in information technology are defined in table 22.
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §43
+ .
+
+
+ ■3
+
+
+ The function pair denoted “
+ ld
+ ” is defined as
+ the dual logarithm with its respective inverse function
+ f
+ -1
+ (
+ x
+ ) = 2
+ x
+ ).
+
+
+
+ This table is not complete. There are other units such as shannon
+ (Sh), erlang (E), or hartley (Hart), for which we had no quantitative
+ definitions. Any advice is appreciated.
+
+
+ The bit is defined twice. One definition with a subscript letter
+ ‘s‘ is defined as the logarithmus dualis of the number of
+ distinct signals. However this unit can not practically be used to
+ express more than 1000 bits. Especially when the bit is used to
+ express transmission rate or memory capacities, floating point
+ registers would quickly overflow. Therefore we define a second symbol
+ for bit, without the suffix, to be the dimensionless unit 1.
+
+
+
+ The baud (Bd) is the number of distict signals transmitted per second,
+ it is
+ not
+ the same as bits per second since one distinct signal
+ usually carries more than one bit of information.
+
+
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Units used in Information Science and Technology
+
+
bit
+
amount of information
+
+ bit
+ s
+
+
+ bit_s
+
+
+ BIT_S
+
+
no
+
•
+
+ ld(1 1)
+
+
+
+
bit
+
amount of information
+
bit
+
+ bit
+
+
+ BIT
+
+
yes
+
1
+
+ 1
+
+
+
+
byte
+
amount of information
+
B
+
+ By
+
+
+ BY
+
+
yes
+
8
+
+ bit
+
+
+
+
baud
+
signal transmission rate
+
Bd
+
+ Bd
+
+
+ BD
+
+
yes
+
1
+
+ /s
+
+
+
+
+
+ §49
+ prefixes
+
+
+
+ ■1
+
+
+ The prefix symbols based on powers of two for use in information
+ technology as proposed by the IEEE are defined in
+
+ .
+
+
+ ■2
+
+
+ The meaning of the columns is declared in
+ §49
+ .2.
+
+
+ ■3
+
+
+ Only the columns titled “c/s,” “c/i,” and
+ “value,” are normative. Full name and print symbol are out
+ of scope of
+ The Unified Code for Units of Measure
+ .
+
+
+
+
+ This table reflects proposed prefixes which are not yet standardized.
+ [Bruce Barrow,
+ A Lesson in Megabytes.
+ IEEE Standards
+ Bearer, January 1997]
+
+
+
+
+
+
name
+
print
+
c/s
+
c/i
+
value
+
+
The special prefix symbols for powers of 2
+
+
kibi
+
Ki
+
+ Ki
+
+
+ KIB
+
+
1024
+
+
+
mebi
+
Mi
+
+ Mi
+
+
+ MIB
+
+
1048576
+
+
+
gibi
+
Gi
+
+ Gi
+
+
+ GIB
+
+
1073741824
+
+
+
tebi
+
Ti
+
+ Ti
+
+
+ TIB
+
+
1099511627776
+
+
+
+
+
+
+
+ Examples for some Non-Units.
+
+
+ §50
+ Non-units
+
+
+
+ ■1
+
+
+ Symbols commonly used as units that are no real units of measurements
+ are not defined by
+ The Unified Code for Units of Measure
+ .
+
+
+ ■2
+
+
+ Users are free to use curly braces expressions (
+ §12
+ ) if they think it is important to use symbols
+ rather than the default unit
+ 1
+ .
+
+
+ ■3
+
+
+ Curly braces expressions are equivalent to the unit
+ 1
+ . The
+ details of the annotations in the curly braces have no defined meaning
+ in
+ The Unified Code for Units of Measure
+ .
+
+
+ ■4
+
+
+ gives some example for those non-units but is not
+ normative.
+
+
+
+
name
+
kind of quantity
+
print
+
c/s
+
c/i
+
M
+
definition value
+
definition unit
+
+
Examples for Non-Units
+
+
particles total count
+
number
+
tot.
+
+ {tot}
+
+
+ {TOT}
+
+
no
+
+
+ 1
+
+
+
+
tablets
+
number
+
tbl.
+
+ {tbl}
+
+
+ {TBL}
+
+
no
+
+
+ 1
+
+
+
+
red blood cell count
+
number
+
R.B.C.
+
+ {rbc}
+
+
+ {RBC}
+
+
no
+
+
+ 1
+
+
+
+
gram meter per heartbeat
+
proportional to ventricular stroke work
+
g· m/H.B.
+
+ g.m/{H.B.}
+
+
+ G.M/{H.B.}
+
+
no
+
+
+ g.m
+
+
+
+
gram-force meter per heartbeat
+
ventricular stroke work
+
gf· m/H.B.
+
+ gf.m/{H.B.}
+
+
+ GF.M/{H.B.}
+
+
no
+
+
+ gf.m
+
+
+
+
kilogram of wet tissue
+
mass
+
kg(wet tissue)
+
+ kg{wet'tis}
+
+
+ KG{wet'tis}
+
+
no
+
+
+ kg
+
+
+
+
milligram of creatinine
+
mass
+
mg(creat.)
+
+ mg{creat}
+
+
+ MG{creat}
+
+
no
+
+
+ mg
+
+
+
+
+
+
+ Although customarily cardiac stroke work is notated as "g.m" this is not a true unit of work. Instead one should use gram-force meter.
+
+
+
+ Summary of Conflicts
+
+ The Unified Code for Units of Measure
+ is designed and maintained so that severe name conflicts do
+ not occur. However, avoiding all conflicts is possible only at the
+ cost of defining very unusual symbols for those units. As the
+
+ shows, all current conflicts are of type IVa between
+ metric and nonmetric units. This means that there is only a conflict
+ if the metric predicate is violated so that non-metric units are used
+ with a prefix.
+
+
+ [Schadow G, McDonald CJ et al: Units of Measure in
+ Clinical Information Systems.
+ JAMIA
+ 6(2); Mar/Apr
+ 1999. p. 151-162.]
+
+
+
+
Summary of name conflicts
+
+
Gb
+
G-b
+
Type IVa (metric-nonmetric)
+
+
+
Pa
+
P-a
+
Type IVa (metric-nonmetric)
+
+
+
ph
+
p-h
+
Type IVa (metric-nonmetric)
+
+
+
cd
+
c-d
+
Type IVa (metric-nonmetric)
+
+
+
CD
+
C-D
+
Type IVa (metric-nonmetric)
+
+
+
+
+ Alphabetic Index
+
+ Alphabetic Index By Name
+
+
+
+ (retired), homeopathic potency of centesimal series – homeopathic potency (retired) – [hp'_C]:
+ §44
+
+ (retired), homeopathic potency of decimal series – homeopathic potency (retired) – [hp'_X]:
+ §44
+
+ (retired), homeopathic potency of millesimal series – homeopathic potency (retired) – [hp'_M]:
+ §44
+
+ (retired), homeopathic potency of quintamillesimal series – homeopathic potency (retired) – [hp'_Q]:
+ §44
+
+ 10 nanovolt, bel – electric potential level – B[10.nV]:
+ §46
+
+ 15 °C, calorie at – energy – cal_[15]:
+ §43
+
+ 20 °C, calorie at – energy – cal_[20]:
+ §43
+
+ 39 °F, British thermal unit at – energy – [Btu_39]:
+ §43
+
+ 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]:
+ §45
+
+ 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation – [EID_50]:
+ §45
+
+ 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]:
+ §45
+
+ 59 °F, British thermal unit at – energy – [Btu_59]:
+ §43
+
+ 60 °F, British thermal unit at – energy – [Btu_60]:
+ §43
+
+ APL unit – biologic activity of anticardiolipin IgA – [APL'U]:
+ §45
+
+ Ambrosia artemisiifolia, allergen unit for – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]:
+ §45
+
+ Bethesda unit – biologic activity of factor VIII inhibitor – [beth'U]:
+ §45
+
+ Biot – electric current – Bi:
+ §33
+
+ Bodansky unit – biologic activity of phosphatase – [bdsk'U]:
+ §45
+
+ Boltzmann constant – (unclassified) – [k]:
+ §32
+
+ British hundredweight – mass – [lcwt_av]:
+ §39
+
+ British stone – mass – [stone_av]:
+ §39
+
+ British thermal unit at 39 °F – energy – [Btu_39]:
+ §43
+
+ British thermal unit at 59 °F – energy – [Btu_59]:
+ §43
+
+ British thermal unit at 60 °F – energy – [Btu_60]:
+ §43
+
+ British thermal unit – energy – [Btu]:
+ §43
+
+ British thermal unit, international table – energy – [Btu_IT]:
+ §43
+
+ British thermal unit, mean – energy – [Btu_m]:
+ §43
+
+ British thermal unit, thermochemical – energy – [Btu_th]:
+ §43
+
+ British ton – mass – [lton_av]:
+ §39
+
+ Calories, nutrition label – energy – [Cal]:
+ §43
+
+ Celsius, degree – temperature – Cel:
+ §30
+
+ Charrière – gauge of catheters – [Ch]:
+ §44
+
+ Curie – radioactivity – Ci:
+ §33
+
+ D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]:
+ §45
+
+ Denier – linear mass density (of textile thread) – [den]:
+ §43
+
+ Didot's pica – length – [cicero]:
+ §42
+
+ Didot's point – length – [didot]:
+ §42
+
+ Dye unit – biologic activity of amylase – [dye'U]:
+ §45
+
+ ELISA unit – arbitrary ELISA unit – [ELU]:
+ §45
+
+ Ehrlich unit – Ehrlich unit – [EU]:
+ §45
+
+ Engineer's chain – length – [rch_us]:
+ §35
+
+ Fahrenheit, degree – temperature – [degF]:
+ §43
+
+ French foot – length – [pied]:
+ §42
+
+ French inch – length – [pouce]:
+ §42
+
+ French line – length – [ligne]:
+ §42
+
+ GPL unit – biologic activity of anticardiolipin IgG – [GPL'U]:
+ §45
+
+ Gal – acceleration – Gal:
+ §33
+
+ Gauss – magnetic flux density – G:
+ §33
+
+ Gilbert – magnetic tension – Gb:
+ §33
+
+ Gregorian month, mean – time – mo_g:
+ §31
+
+ Gregorian year, mean – time – a_g:
+ §31
+
+ Gunter's chain – length – [ch_br]:
+ §36
+
+ Gunter's chain – length – [ch_us]:
+ §35
+
+ Gunter's chain, link for – length – [lk_br]:
+ §36
+
+ Gunter's chain, link for – length – [lk_us]:
+ §35
+
+ Hounsfield unit – x-ray attenuation – [hnsf'U]:
+ §44
+
+ Julian month, mean – time – mo_j:
+ §31
+
+ Julian year, mean – time – a_j:
+ §31
+
+ Kayser – lineic number – Ky:
+ §33
+
+ King-Armstrong unit – biologic activity of phosphatase – [ka'U]:
+ §45
+
+ Kunkel unit – arbitrary biologic activity – [knk'U]:
+ §45
+
+ Lagan unit, Mac – arbitrary biologic activity – [mclg'U]:
+ §45
+
+ Lambert – brightness – Lmb:
+ §33
+
+ Limit of flocculation – procedure defined amount of an antigen substance – [Lf]:
+ §45
+
+ MPL unit – biologic activity of anticardiolipin IgM – [MPL'U]:
+ §45
+
+ Mac Lagan unit – arbitrary biologic activity – [mclg'U]:
+ §45
+
+ Maxwell – flux of magnetic induction – Mx:
+ §33
+
+ Newtonian constant of gravitation – (unclassified) – [G]:
+ §32
+
+ Oersted – magnetic field intensity – Oe:
+ §33
+
+ Pharmacopeia unit, United States – arbitrary – [USP'U]:
+ §45
+
+ Planck constant – action – [h]:
+ §32
+
+ Poise – dynamic viscosity – P:
+ §33
+
+ Printer's pica – length – [pca_pr]:
+ §42
+
+ Printer's point – length – [pnt_pr]:
+ §42
+
+ Queen Anne's wine gallon – fluid volume – [gal_us]:
+ §37
+
+ Ramden's chain – length – [rch_us]:
+ §35
+
+ Ramden's chain, link for – length – [rlk_us]:
+ §35
+
+ Rankine, degree – temperature – [degR]:
+ §43
+
+ Roentgen – ion dose – R:
+ §33
+
+ Réaumur, degree – temperature – [degRe]:
+ §43
+
+ Smoot – length – [smoot]:
+ §47
+
+ Somogyi unit – biologic activity of amylase – [smgy'U]:
+ §45
+
+ States Pharmacopeia unit, United – arbitrary – [USP'U]:
+ §45
+
+ Stokes – kinematic viscosity – St:
+ §33
+
+ Surveyor's chain – length – [ch_us]:
+ §35
+
+ Svedberg unit – sedimentation coefficient – [S]:
+ §45
+
+ Todd unit – biologic activity antistreptolysin O – [todd'U]:
+ §45
+
+ U.S. hundredweight – mass – [scwt_av]:
+ §39
+
+ U.S. ton – mass – [ston_av]:
+ §39
+
+ Unit – catalytic activity – U:
+ §45
+
+ United States Pharmacopeia unit – arbitrary – [USP'U]:
+ §45
+
+ Wood unit – fluid resistance – [wood'U]:
+ §44
+
+ Xa unit, anti factor – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]:
+ §45
+
+ absorbed dose, radiation – energy dose – RAD:
+ §33
+
+ acceleration of free fall, standard – acceleration – [g]:
+ §32
+
+ acre – area – [acr_br]:
+ §36
+
+ acre – area – [acr_us]:
+ §35
+
+ allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]:
+ §45
+
+ allergen unit – procedure defined amount of an allergen using some reference standard – [AU]:
+ §45
+
+ allergen unit, bioequivalent – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]:
+ §45
+
+ alloys, carat of gold – mass fraction – [car_Au]:
+ §47
+
+ ampère – electric current – A:
+ §30
+
+ anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]:
+ §45
+
+ arbitary unit – arbitrary – [arb'U]:
+ §45
+
+ arbitrary powers, the number ten for – number – 10*:
+ §29
+
+ arbitrary powers, the number ten for – number – 10^:
+ §29
+
+ are – area – ar:
+ §31
+
+ artemisiifolia, allergen unit for Ambrosia – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]:
+ §45
+
+ astronomic unit – length – AU:
+ §31
+
+ atmosphere, standard – pressure – atm:
+ §32
+
+ atmosphere, technical – pressure – att:
+ §47
+
+ atomic mass unit, unified – mass – u:
+ §31
+
+ atto – prefix – a:
+ §27
+
+ bar – pressure – bar:
+ §31
+
+ barn – action area – b:
+ §47
+
+ barrel – fluid volume – [bbl_us]:
+ §37
+
+ baud – signal transmission rate – Bd:
+ §48
+
+ becquerel – radioactivity – Bq:
+ §30
+
+ bel 10 nanovolt – electric potential level – B[10.nV]:
+ §46
+
+ bel kilowatt – power level – B[kW]:
+ §46
+
+ bel microvolt – electric potential level – B[uV]:
+ §46
+
+ bel millivolt – electric potential level – B[mV]:
+ §46
+
+ bel sound pressure – pressure level – B[SPL]:
+ §46
+
+ bel volt – electric potential level – B[V]:
+ §46
+
+ bel watt – power level – B[W]:
+ §46
+
+ bel – level – B:
+ §46
+
+ billion, parts per – fraction – [ppb]:
+ §29
+
+ bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]:
+ §45
+
+ bit – amount of information – bit:
+ §48
+
+ bit – amount of information – bit_s:
+ §48
+
+ blood cell count, red – number – {rbc}:
+ §50
+
+ board foot – volume – [bf_i]:
+ §34
+
+ bushel – dry volume – [bu_us]:
+ §37
+
+ bushel – volume – [bu_br]:
+ §38
+
+ byte – amount of information – By:
+ §48
+
+ calorie at 15 °C – energy – cal_[15]:
+ §43
+
+ calorie at 20 °C – energy – cal_[20]:
+ §43
+
+ calorie – energy – cal:
+ §43
+
+ calorie, international table – energy – cal_IT:
+ §43
+
+ calorie, mean – energy – cal_m:
+ §43
+
+ calorie, thermochemical – energy – cal_th:
+ §43
+
+ candela – luminous intensity – cd:
+ §28
+
+ carat of gold alloys – mass fraction – [car_Au]:
+ §47
+
+ carat, metric – mass – [car_m]:
+ §47
+
+ cell count, red blood – number – {rbc}:
+ §50
+
+ cell culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]:
+ §45
+
+ centesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_C]:
+ §44
+
+ centesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_C]:
+ §44
+
+ centesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_C]:
+ §44
+
+ centi – prefix – c:
+ §27
+
+ chain, Engineer's – length – [rch_us]:
+ §35
+
+ chain, Gunter's – length – [ch_br]:
+ §36
+
+ chain, Gunter's – length – [ch_us]:
+ §35
+
+ chain, Ramden's – length – [rch_us]:
+ §35
+
+ chain, Surveyor's – length – [ch_us]:
+ §35
+
+ chain, link for Gunter's – length – [lk_br]:
+ §36
+
+ chain, link for Gunter's – length – [lk_us]:
+ §35
+
+ chain, link for Ramden's – length – [rlk_us]:
+ §35
+
+ charge, elementary – electric charge – [e]:
+ §32
+
+ cicero – length – [cicero]:
+ §42
+
+ circle – plane angle – circ:
+ §47
+
+ circular mil – area – [cml_i]:
+ §34
+
+ colony forming units – amount of a proliferating organism – [CFU]:
+ §45
+
+ column, inch of mercury – pressure – [in_i'Hg]:
+ §44
+
+ column, inch of water – pressure – [in_i'H2O]:
+ §44
+
+ column, meter of mercury – pressure – m[Hg]:
+ §44
+
+ column, meter of water – pressure – m[H2O]:
+ §44
+
+ constant of gravitation, Newtonian – (unclassified) – [G]:
+ §32
+
+ constant, Boltzmann – (unclassified) – [k]:
+ §32
+
+ constant, Planck – action – [h]:
+ §32
+
+ cord – fluid volume – [crd_us]:
+ §37
+
+ cord – volume – [cr_i]:
+ §34
+
+ coulomb – electric charge – C:
+ §28
+
+ count, particles total – number – {tot}:
+ §50
+
+ count, red blood cell – number – {rbc}:
+ §50
+
+ creatinine, milligram of – mass – mg{creat}:
+ §50
+
+ cubic foot – volume – [cft_i]:
+ §34
+
+ cubic inch – volume – [cin_i]:
+ §34
+
+ cubic yard – volume – [cyd_i]:
+ §34
+
+ culture infectious dose, 50% cell – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]:
+ §45
+
+ culture infectious dose, 50% tissue – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]:
+ §45
+
+ cup – volume – [cup_us]:
+ §37
+
+ cup, metric – volume – [cup_m]:
+ §37
+
+ day – time – d:
+ §31
+
+ deci – prefix – d:
+ §27
+
+ decimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_X]:
+ §44
+
+ decimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_X]:
+ §44
+
+ decimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_X]:
+ §44
+
+ degree Celsius – temperature – Cel:
+ §30
+
+ degree Fahrenheit – temperature – [degF]:
+ §43
+
+ degree Rankine – temperature – [degR]:
+ §43
+
+ degree Réaumur – temperature – [degRe]:
+ §43
+
+ degree – plane angle – deg:
+ §31
+
+ deka – prefix – da:
+ §27
+
+ didot – length – [didot]:
+ §42
+
+ diopter – refraction of a lens – [diop]:
+ §44
+
+ diopter, prism – refraction of a prism – [p'diop]:
+ §44
+
+ dose, 50% cell culture infectious – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]:
+ §45
+
+ dose, 50% embryo infectious – biologic activity (infectivity) of an infectious agent preparation – [EID_50]:
+ §45
+
+ dose, 50% tissue culture infectious – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]:
+ §45
+
+ dose, radiation absorbed – energy dose – RAD:
+ §33
+
+ drachm – mass – [dr_ap]:
+ §41
+
+ dram – mass – [dr_ap]:
+ §41
+
+ dram – mass – [dr_av]:
+ §39
+
+ dram, fluid – fluid volume – [fdr_us]:
+ §37
+
+ dram, fluid – volume – [fdr_br]:
+ §38
+
+ drop – volume – [drp]:
+ §44
+
+ dry pint – dry volume – [dpt_us]:
+ §37
+
+ dry quart – dry volume – [dqt_us]:
+ §37
+
+ dyne – force – dyn:
+ §33
+
+ electron mass – mass – [m_e]:
+ §32
+
+ electronvolt – energy – eV:
+ §31
+
+ elementary charge – electric charge – [e]:
+ §32
+
+ embryo infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [EID_50]:
+ §45
+
+ equivalent man, radiation – dose equivalent – REM:
+ §33
+
+ equivalent unit, fibrinogen – amount of fibrinogen broken down into the measured d-dimers – [FEU]:
+ §45
+
+ equivalent, metabolic – metabolic cost of physical activity – [MET]:
+ §44
+
+ equivalents – amount of substance – eq:
+ §45
+
+ erg – energy – erg:
+ §33
+
+ exa – prefix – E:
+ §27
+
+ factor Xa unit, anti – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]:
+ §45
+
+ fall, standard acceleration of free – acceleration – [g]:
+ §32
+
+ farad – electric capacitance – F:
+ §30
+
+ fathom – depth of water – [fth_i]:
+ §34
+
+ fathom – length – [fth_br]:
+ §36
+
+ fathom – length – [fth_us]:
+ §35
+
+ femto – prefix – f:
+ §27
+
+ fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers – [FEU]:
+ §45
+
+ field, high power – view area in microscope – [HPF]:
+ §45
+
+ field, low power – view area in microscope – [LPF]:
+ §45
+
+ flocculation, Limit of – procedure defined amount of an antigen substance – [Lf]:
+ §45
+
+ fluid dram – fluid volume – [fdr_us]:
+ §37
+
+ fluid dram – volume – [fdr_br]:
+ §38
+
+ fluid ounce – fluid volume – [foz_us]:
+ §37
+
+ fluid ounce – volume – [foz_br]:
+ §38
+
+ fluid ounce, metric – fluid volume – [foz_m]:
+ §37
+
+ focus forming units – amount of an infectious agent – [FFU]:
+ §45
+
+ foot – length – [ft_br]:
+ §36
+
+ foot – length – [ft_i]:
+ §34
+
+ foot – length – [ft_us]:
+ §35
+
+ foot, French – length – [pied]:
+ §42
+
+ foot, board – volume – [bf_i]:
+ §34
+
+ foot, cubic – volume – [cft_i]:
+ §34
+
+ foot, square – area – [sft_i]:
+ §34
+
+ force, pound – force – [lbf_av]:
+ §32
+
+ forming units, colony – amount of a proliferating organism – [CFU]:
+ §45
+
+ forming units, focus – amount of an infectious agent – [FFU]:
+ §45
+
+ forming units, plaque – amount of an infectious agent – [PFU]:
+ §45
+
+ free fall, standard acceleration of – acceleration – [g]:
+ §32
+
+ french – gauge of catheters – [Ch]:
+ §44
+
+ furlong – length – [fur_us]:
+ §35
+
+ gallon – volume – [gal_br]:
+ §38
+
+ gallon, Queen Anne's wine – fluid volume – [gal_us]:
+ §37
+
+ gallon, historical winchester – dry volume – [gal_wi]:
+ §37
+
+ gibi – prefix – Gi:
+ §49
+
+ giga – prefix – G:
+ §27
+
+ gill – fluid volume – [gil_us]:
+ §37
+
+ gill – volume – [gil_br]:
+ §38
+
+ gold alloys, carat of – mass fraction – [car_Au]:
+ §47
+
+ gon – plane angle – gon:
+ §31
+
+ grade – plane angle – gon:
+ §31
+
+ grain – mass – [gr]:
+ §39
+
+ gram meter per heartbeat – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50
+
+ gram percent – mass concentration – g%:
+ §45
+
+ gram – mass – g:
+ §28
+
+ gram-force meter per heartbeat – ventricular stroke work – gf.m/{H.B.}:
+ §50
+
+ gram-force – force – gf:
+ §32
+
+ gravitation, Newtonian constant of – (unclassified) – [G]:
+ §32
+
+ gray – energy dose – Gy:
+ §30
+
+ hahnemannian series, homeopathic potency of centesimal – homeopathic potency (Hahnemann) – [hp_C]:
+ §44
+
+ hahnemannian series, homeopathic potency of decimal – homeopathic potency (Hahnemann) – [hp_X]:
+ §44
+
+ hahnemannian series, homeopathic potency of millesimal – homeopathic potency (Hahnemann) – [hp_M]:
+ §44
+
+ hahnemannian series, homeopathic potency of quintamillesimal – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44
+
+ hand – height of horses – [hd_i]:
+ §34
+
+ heartbeat, gram meter per – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50
+
+ heartbeat, gram-force meter per – ventricular stroke work – gf.m/{H.B.}:
+ §50
+
+ hecto – prefix – h:
+ §27
+
+ henry – inductance – H:
+ §30
+
+ hertz – frequency – Hz:
+ §30
+
+ hertz, meter per square seconds per square root of – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ high power field – view area in microscope – [HPF]:
+ §45
+
+ historical winchester gallon – dry volume – [gal_wi]:
+ §37
+
+ homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_C]:
+ §44
+
+ homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov) – [kp_C]:
+ §44
+
+ homeopathic potency of centesimal series (retired) – homeopathic potency (retired) – [hp'_C]:
+ §44
+
+ homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_X]:
+ §44
+
+ homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov) – [kp_X]:
+ §44
+
+ homeopathic potency of decimal series (retired) – homeopathic potency (retired) – [hp'_X]:
+ §44
+
+ homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_M]:
+ §44
+
+ homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov) – [kp_M]:
+ §44
+
+ homeopathic potency of millesimal series (retired) – homeopathic potency (retired) – [hp'_M]:
+ §44
+
+ homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44
+
+ homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov) – [kp_Q]:
+ §44
+
+ homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired) – [hp'_Q]:
+ §44
+
+ horsepower – power – [HP]:
+ §43
+
+ hour – time – h:
+ §31
+
+ hunderdweight, long – mass – [lcwt_av]:
+ §39
+
+ hundredweight, British – mass – [lcwt_av]:
+ §39
+
+ hundredweight, U.S. – mass – [scwt_av]:
+ §39
+
+ hundredweight, short – mass – [scwt_av]:
+ §39
+
+ inch of mercury column – pressure – [in_i'Hg]:
+ §44
+
+ inch of water column – pressure – [in_i'H2O]:
+ §44
+
+ inch – length – [in_br]:
+ §36
+
+ inch – length – [in_i]:
+ §34
+
+ inch – length – [in_us]:
+ §35
+
+ inch, French – length – [pouce]:
+ §42
+
+ inch, cubic – volume – [cin_i]:
+ §34
+
+ inch, pound per sqare – pressure – [psi]:
+ §47
+
+ inch, square – area – [sin_i]:
+ §34
+
+ index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]:
+ §45
+
+ infectious dose, 50% cell culture – biologic activity (infectivity) of an infectious agent preparation – [CCID_50]:
+ §45
+
+ infectious dose, 50% embryo – biologic activity (infectivity) of an infectious agent preparation – [EID_50]:
+ §45
+
+ infectious dose, 50% tissue culture – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]:
+ §45
+
+ international table British thermal unit – energy – [Btu_IT]:
+ §43
+
+ international table calorie – energy – cal_IT:
+ §43
+
+ international unit – arbitrary – [IU]:
+ §45
+
+ international unit – arbitrary – [iU]:
+ §45
+
+ joule – energy – J:
+ §30
+
+ katal – catalytic activity – kat:
+ §45
+
+ kelvin – temperature – K:
+ §28
+
+ kibi – prefix – Ki:
+ §49
+
+ kilo – prefix – k:
+ §27
+
+ kilogram of wet tissue – mass – kg{wet'tis}:
+ §50
+
+ kilowatt, bel – power level – B[kW]:
+ §46
+
+ knot – velocity – [kn_br]:
+ §36
+
+ knot – velocity – [kn_i]:
+ §34
+
+ korsakovian series, homeopathic potency of centesimal – homeopathic potency (Korsakov) – [kp_C]:
+ §44
+
+
+
+
+ korsakovian series, homeopathic potency of decimal – homeopathic potency (Korsakov) – [kp_X]:
+ §44
+
+ korsakovian series, homeopathic potency of millesimal – homeopathic potency (Korsakov) – [kp_M]:
+ §44
+
+ korsakovian series, homeopathic potency of quintamillesimal – homeopathic potency (Korsakov) – [kp_Q]:
+ §44
+
+ label Calories, nutrition – energy – [Cal]:
+ §43
+
+ light, velocity of – velocity – [c]:
+ §32
+
+ light-year – length – [ly]:
+ §32
+
+ ligne – length – [ligne]:
+ §42
+
+ line – length – [lne]:
+ §42
+
+ line, French – length – [ligne]:
+ §42
+
+ link for Gunter's chain – length – [lk_br]:
+ §36
+
+ link for Gunter's chain – length – [lk_us]:
+ §35
+
+ link for Ramden's chain – length – [rlk_us]:
+ §35
+
+ liter – volume – L:
+ §31
+
+ liter – volume – l:
+ §31
+
+ long hunderdweight – mass – [lcwt_av]:
+ §39
+
+ long ton – mass – [lton_av]:
+ §39
+
+ low power field – view area in microscope – [LPF]:
+ §45
+
+ lumen – luminous flux – lm:
+ §30
+
+ lux – illuminance – lx:
+ §30
+
+ man, radiation equivalent – dose equivalent – REM:
+ §33
+
+ mass unit, unified atomic – mass – u:
+ §31
+
+ mass, electron – mass – [m_e]:
+ §32
+
+ mass, proton – mass – [m_p]:
+ §32
+
+ mean British thermal unit – energy – [Btu_m]:
+ §43
+
+ mean Gregorian month – time – mo_g:
+ §31
+
+ mean Gregorian year – time – a_g:
+ §31
+
+ mean Julian month – time – mo_j:
+ §31
+
+ mean Julian year – time – a_j:
+ §31
+
+ mean calorie – energy – cal_m:
+ §43
+
+ mebi – prefix – Mi:
+ §49
+
+ mega – prefix – M:
+ §27
+
+ mercury column, inch of – pressure – [in_i'Hg]:
+ §44
+
+ mercury column, meter of – pressure – m[Hg]:
+ §44
+
+ mesh – lineic number – [mesh_i]:
+ §44
+
+ metabolic equivalent – metabolic cost of physical activity – [MET]:
+ §44
+
+ meter of mercury column – pressure – m[Hg]:
+ §44
+
+ meter of water column – pressure – m[H2O]:
+ §44
+
+ meter per heartbeat, gram – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50
+
+ meter per heartbeat, gram-force – ventricular stroke work – gf.m/{H.B.}:
+ §50
+
+ meter per square seconds per square root of hertz – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ meter – length – m:
+ §28
+
+ metric carat – mass – [car_m]:
+ §47
+
+ metric cup – volume – [cup_m]:
+ §37
+
+ metric fluid ounce – fluid volume – [foz_m]:
+ §37
+
+ metric ounce – mass – [oz_m]:
+ §41
+
+ metric tablespoon – volume – [tbs_m]:
+ §37
+
+ metric teaspoon – volume – [tsp_m]:
+ §37
+
+ mho – electric conductance – mho:
+ §47
+
+ micro – prefix – u:
+ §27
+
+ microvolt, bel – electric potential level – B[uV]:
+ §46
+
+ mil – length – [mil_i]:
+ §34
+
+ mil – length – [mil_us]:
+ §35
+
+ mil, circular – area – [cml_i]:
+ §34
+
+ mile – length – [mi_br]:
+ §36
+
+ mile – length – [mi_i]:
+ §34
+
+ mile – length – [mi_us]:
+ §35
+
+ mile, nautical – length – [nmi_br]:
+ §36
+
+ mile, nautical – length – [nmi_i]:
+ §34
+
+ mile, square – area – [smi_us]:
+ §35
+
+ millesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_M]:
+ §44
+
+ millesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_M]:
+ §44
+
+ millesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_M]:
+ §44
+
+ milli – prefix – m:
+ §27
+
+ milligram of creatinine – mass – mg{creat}:
+ §50
+
+ million, parts per – fraction – [ppm]:
+ §29
+
+ millivolt, bel – electric potential level – B[mV]:
+ §46
+
+ minim – fluid volume – [min_us]:
+ §37
+
+ minim – volume – [min_br]:
+ §38
+
+ minute – plane angle – ':
+ §31
+
+ minute – time – min:
+ §31
+
+ mole – amount of substance – mol:
+ §30
+
+ month – time – mo:
+ §31
+
+ month, mean Gregorian – time – mo_g:
+ §31
+
+ month, mean Julian – time – mo_j:
+ §31
+
+ month, synodal – time – mo_s:
+ §31
+
+ nano – prefix – n:
+ §27
+
+ nanovolt, bel 10 – electric potential level – B[10.nV]:
+ §46
+
+ nautical mile – length – [nmi_br]:
+ §36
+
+ nautical mile – length – [nmi_i]:
+ §34
+
+ neper – level – Np:
+ §46
+
+ newton – force – N:
+ §30
+
+ nitrogen unit, protein – procedure defined amount of a protein substance – [PNU]:
+ §45
+
+ number pi, the – number – [pi]:
+ §29
+
+ number ten for arbitrary powers, the – number – 10*:
+ §29
+
+ number ten for arbitrary powers, the – number – 10^:
+ §29
+
+ nutrition label Calories – energy – [Cal]:
+ §43
+
+ ohm – electric resistance – Ohm:
+ §30
+
+ osmole – amount of substance (dissolved particles) – osm:
+ §45
+
+ ounce – mass – [oz_ap]:
+ §41
+
+ ounce – mass – [oz_av]:
+ §39
+
+ ounce – mass – [oz_tr]:
+ §40
+
+ ounce, fluid – fluid volume – [foz_us]:
+ §37
+
+ ounce, fluid – volume – [foz_br]:
+ §38
+
+ ounce, metric fluid – fluid volume – [foz_m]:
+ §37
+
+ ounce, metric – mass – [oz_m]:
+ §41
+
+ pH – acidity – [pH]:
+ §45
+
+ pace – length – [pc_br]:
+ §36
+
+ parsec – length – pc:
+ §31
+
+ particles total count – number – {tot}:
+ §50
+
+ parts per billion – fraction – [ppb]:
+ §29
+
+ parts per million – fraction – [ppm]:
+ §29
+
+ parts per thousand – fraction – [ppth]:
+ §29
+
+ parts per trillion – fraction – [pptr]:
+ §29
+
+ pascal – pressure – Pa:
+ §30
+
+ peck – dry volume – [pk_us]:
+ §37
+
+ peck – volume – [pk_br]:
+ §38
+
+ pennyweight – mass – [pwt_tr]:
+ §40
+
+ per billion, parts – fraction – [ppb]:
+ §29
+
+ per heartbeat, gram meter – proportional to ventricular stroke work – g.m/{H.B.}:
+ §50
+
+ per heartbeat, gram-force meter – ventricular stroke work – gf.m/{H.B.}:
+ §50
+
+ per million, parts – fraction – [ppm]:
+ §29
+
+ per sqare inch, pound – pressure – [psi]:
+ §47
+
+ per square root of hertz, meter per square seconds – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ per square seconds per square root of hertz, meter – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ per thousand, parts – fraction – [ppth]:
+ §29
+
+ per trillion, parts – fraction – [pptr]:
+ §29
+
+ percent of slope – slope – %[slope]:
+ §44
+
+ percent – fraction – %:
+ §29
+
+ percent, gram – mass concentration – g%:
+ §45
+
+ peripheral vascular resistance unit – fluid resistance – [PRU]:
+ §44
+
+ permeability of vacuum – magnetic permeability – [mu_0]:
+ §32
+
+ permittivity of vacuum – electric permittivity – [eps_0]:
+ §32
+
+ peta – prefix – P:
+ §27
+
+ phot – illuminance – ph:
+ §33
+
+ pi, the number – number – [pi]:
+ §29
+
+ pica – length – [pca]:
+ §42
+
+ pica, Didot's – length – [cicero]:
+ §42
+
+ pica, Printer's – length – [pca_pr]:
+ §42
+
+ pico – prefix – p:
+ §27
+
+ pied – length – [pied]:
+ §42
+
+ pint – fluid volume – [pt_us]:
+ §37
+
+ pint – volume – [pt_br]:
+ §38
+
+ pint, dry – dry volume – [dpt_us]:
+ §37
+
+ plaque forming units – amount of an infectious agent – [PFU]:
+ §45
+
+ point – length – [pnt]:
+ §42
+
+ point, Didot's – length – [didot]:
+ §42
+
+ point, Printer's – length – [pnt_pr]:
+ §42
+
+ potency of centesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_C]:
+ §44
+
+ potency of centesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_C]:
+ §44
+
+ potency of centesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_C]:
+ §44
+
+ potency of decimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_X]:
+ §44
+
+ potency of decimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_X]:
+ §44
+
+ potency of decimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_X]:
+ §44
+
+ potency of millesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_M]:
+ §44
+
+ potency of millesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_M]:
+ §44
+
+ potency of millesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_M]:
+ §44
+
+ potency of quintamillesimal hahnemannian series, homeopathic – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44
+
+ potency of quintamillesimal korsakovian series, homeopathic – homeopathic potency (Korsakov) – [kp_Q]:
+ §44
+
+ potency of quintamillesimal series (retired), homeopathic – homeopathic potency (retired) – [hp'_Q]:
+ §44
+
+ pouce – length – [pouce]:
+ §42
+
+ pound force – force – [lbf_av]:
+ §32
+
+ pound per sqare inch – pressure – [psi]:
+ §47
+
+ pound – mass – [lb_ap]:
+ §41
+
+ pound – mass – [lb_av]:
+ §39
+
+ pound – mass – [lb_tr]:
+ §40
+
+ power field, high – view area in microscope – [HPF]:
+ §45
+
+ power field, low – view area in microscope – [LPF]:
+ §45
+
+ powers, the number ten for arbitrary – number – 10*:
+ §29
+
+ powers, the number ten for arbitrary – number – 10^:
+ §29
+
+ pressure, bel sound – pressure level – B[SPL]:
+ §46
+
+ prism diopter – refraction of a prism – [p'diop]:
+ §44
+
+ protein nitrogen unit – procedure defined amount of a protein substance – [PNU]:
+ §45
+
+ proton mass – mass – [m_p]:
+ §32
+
+ quart – fluid volume – [qt_us]:
+ §37
+
+ quart – volume – [qt_br]:
+ §38
+
+ quart, dry – dry volume – [dqt_us]:
+ §37
+
+ quintamillesimal hahnemannian series, homeopathic potency of – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44
+
+ quintamillesimal korsakovian series, homeopathic potency of – homeopathic potency (Korsakov) – [kp_Q]:
+ §44
+
+ quintamillesimal series (retired), homeopathic potency of – homeopathic potency (retired) – [hp'_Q]:
+ §44
+
+ radian – plane angle – rad:
+ §28
+
+ radiation absorbed dose – energy dose – RAD:
+ §33
+
+ radiation equivalent man – dose equivalent – REM:
+ §33
+
+ reactivity, index of – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – [IR]:
+ §45
+
+ red blood cell count – number – {rbc}:
+ §50
+
+ resistance unit, peripheral vascular – fluid resistance – [PRU]:
+ §44
+
+ rod – length – [rd_br]:
+ §36
+
+ rod – length – [rd_us]:
+ §35
+
+ rod, square – area – [srd_us]:
+ §35
+
+ root of hertz, meter per square seconds per square – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ scruple – mass – [sc_ap]:
+ §41
+
+ second – plane angle – '':
+ §31
+
+ second – time – s:
+ §28
+
+ seconds per square root of hertz, meter per square – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ section – area – [sct]:
+ §35
+
+ series (retired), homeopathic potency of centesimal – homeopathic potency (retired) – [hp'_C]:
+ §44
+
+ series (retired), homeopathic potency of decimal – homeopathic potency (retired) – [hp'_X]:
+ §44
+
+ series (retired), homeopathic potency of millesimal – homeopathic potency (retired) – [hp'_M]:
+ §44
+
+ series (retired), homeopathic potency of quintamillesimal – homeopathic potency (retired) – [hp'_Q]:
+ §44
+
+ series, homeopathic potency of centesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_C]:
+ §44
+
+ series, homeopathic potency of centesimal korsakovian – homeopathic potency (Korsakov) – [kp_C]:
+ §44
+
+ series, homeopathic potency of decimal hahnemannian – homeopathic potency (Hahnemann) – [hp_X]:
+ §44
+
+ series, homeopathic potency of decimal korsakovian – homeopathic potency (Korsakov) – [kp_X]:
+ §44
+
+ series, homeopathic potency of millesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_M]:
+ §44
+
+ series, homeopathic potency of millesimal korsakovian – homeopathic potency (Korsakov) – [kp_M]:
+ §44
+
+ series, homeopathic potency of quintamillesimal hahnemannian – homeopathic potency (Hahnemann) – [hp_Q]:
+ §44
+
+ series, homeopathic potency of quintamillesimal korsakovian – homeopathic potency (Korsakov) – [kp_Q]:
+ §44
+
+ short hundredweight – mass – [scwt_av]:
+ §39
+
+ short ton – mass – [ston_av]:
+ §39
+
+ siemens – electric conductance – S:
+ §30
+
+ sievert – dose equivalent – Sv:
+ §30
+
+ slope, percent of – slope – %[slope]:
+ §44
+
+ sound pressure, bel – pressure level – B[SPL]:
+ §46
+
+ spere – solid angle – sph:
+ §47
+
+ sqare inch, pound per – pressure – [psi]:
+ §47
+
+ square foot – area – [sft_i]:
+ §34
+
+ square inch – area – [sin_i]:
+ §34
+
+ square mile – area – [smi_us]:
+ §35
+
+ square rod – area – [srd_us]:
+ §35
+
+ square root of hertz, meter per square seconds per – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ square seconds per square root of hertz, meter per – amplitude spectral density – [m/s2/Hz^(1/2)]:
+ §47
+
+ square yard – area – [syd_i]:
+ §34
+
+ standard acceleration of free fall – acceleration – [g]:
+ §32
+
+ standard atmosphere – pressure – atm:
+ §32
+
+ steradian – solid angle – sr:
+ §30
+
+ stere – volume – st:
+ §47
+
+ stilb – lum. intensity density – sb:
+ §33
+
+ stone – mass – [stone_av]:
+ §39
+
+ stone, British – mass – [stone_av]:
+ §39
+
+ synodal month – time – mo_s:
+ §31
+
+ table British thermal unit, international – energy – [Btu_IT]:
+ §43
+
+ table calorie, international – energy – cal_IT:
+ §43
+
+ tablespoon – volume – [tbs_us]:
+ §37
+
+ tablespoon, metric – volume – [tbs_m]:
+ §37
+
+ tablets – number – {tbl}:
+ §50
+
+ teaspoon – volume – [tsp_us]:
+ §37
+
+ teaspoon, metric – volume – [tsp_m]:
+ §37
+
+ tebi – prefix – Ti:
+ §49
+
+ technical atmosphere – pressure – att:
+ §47
+
+ ten for arbitrary powers, the number – number – 10*:
+ §29
+
+ ten for arbitrary powers, the number – number – 10^:
+ §29
+
+ tera – prefix – T:
+ §27
+
+ tesla – magnetic flux density – T:
+ §30
+
+ tex – linear mass density (of textile thread) – tex:
+ §43
+
+ thermal unit at 39 °F, British – energy – [Btu_39]:
+ §43
+
+ thermal unit at 59 °F, British – energy – [Btu_59]:
+ §43
+
+ thermal unit at 60 °F, British – energy – [Btu_60]:
+ §43
+
+ thermal unit, British – energy – [Btu]:
+ §43
+
+ thermal unit, international table British – energy – [Btu_IT]:
+ §43
+
+ thermal unit, mean British – energy – [Btu_m]:
+ §43
+
+ thermal unit, thermochemical British – energy – [Btu_th]:
+ §43
+
+ thermochemical British thermal unit – energy – [Btu_th]:
+ §43
+
+ thermochemical calorie – energy – cal_th:
+ §43
+
+ thousand, parts per – fraction – [ppth]:
+ §29
+
+ tissue culture infectious dose, 50% – biologic activity (infectivity) of an infectious agent preparation – [TCID_50]:
+ §45
+
+ tissue, kilogram of wet – mass – kg{wet'tis}:
+ §50
+
+ ton, British – mass – [lton_av]:
+ §39
+
+ ton, U.S. – mass – [ston_av]:
+ §39
+
+ ton, long – mass – [lton_av]:
+ §39
+
+ ton, short – mass – [ston_av]:
+ §39
+
+ tonne – mass – t:
+ §31
+
+ total count, particles – number – {tot}:
+ §50
+
+ township – area – [twp]:
+ §35
+
+ trillion, parts per – fraction – [pptr]:
+ §29
+
+ tropical year – time – a_t:
+ §31
+
+ tuberculin unit – biologic activity of tuberculin – [tb'U]:
+ §45
+
+ unified atomic mass unit – mass – u:
+ §31
+
+ unit at 39 °F, British thermal – energy – [Btu_39]:
+ §43
+
+ unit at 59 °F, British thermal – energy – [Btu_59]:
+ §43
+
+ unit at 60 °F, British thermal – energy – [Btu_60]:
+ §43
+
+ unit for Ambrosia artemisiifolia, allergen – procedure defined amount of the major allergen of ragweed. – [Amb'a'1'U]:
+ §45
+
+ unit, APL – biologic activity of anticardiolipin IgA – [APL'U]:
+ §45
+
+ unit, Bethesda – biologic activity of factor VIII inhibitor – [beth'U]:
+ §45
+
+ unit, Bodansky – biologic activity of phosphatase – [bdsk'U]:
+ §45
+
+ unit, British thermal – energy – [Btu]:
+ §43
+
+ unit, D-antigen – procedure defined amount of a poliomyelitis d-antigen substance – [D'ag'U]:
+ §45
+
+ unit, Dye – biologic activity of amylase – [dye'U]:
+ §45
+
+ unit, ELISA – arbitrary ELISA unit – [ELU]:
+ §45
+
+ unit, Ehrlich – Ehrlich unit – [EU]:
+ §45
+
+ unit, GPL – biologic activity of anticardiolipin IgG – [GPL'U]:
+ §45
+
+ unit, Hounsfield – x-ray attenuation – [hnsf'U]:
+ §44
+
+ unit, King-Armstrong – biologic activity of phosphatase – [ka'U]:
+ §45
+
+ unit, Kunkel – arbitrary biologic activity – [knk'U]:
+ §45
+
+ unit, MPL – biologic activity of anticardiolipin IgM – [MPL'U]:
+ §45
+
+ unit, Mac Lagan – arbitrary biologic activity – [mclg'U]:
+ §45
+
+ unit, Somogyi – biologic activity of amylase – [smgy'U]:
+ §45
+
+ unit, Svedberg – sedimentation coefficient – [S]:
+ §45
+
+ unit, Todd – biologic activity antistreptolysin O – [todd'U]:
+ §45
+
+ unit, United States Pharmacopeia – arbitrary – [USP'U]:
+ §45
+
+ unit, Wood – fluid resistance – [wood'U]:
+ §44
+
+ unit, allergen – procedure defined amount of an allergen using some reference standard – [AU]:
+ §45
+
+ unit, anti factor Xa – biologic activity of factor Xa inhibitor (heparin) – [anti'Xa'U]:
+ §45
+
+ unit, arbitary – arbitrary – [arb'U]:
+ §45
+
+ unit, astronomic – length – AU:
+ §31
+
+ unit, bioequivalent allergen – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]:
+ §45
+
+ unit, fibrinogen equivalent – amount of fibrinogen broken down into the measured d-dimers – [FEU]:
+ §45
+
+ unit, international table British thermal – energy – [Btu_IT]:
+ §43
+
+ unit, international – arbitrary – [IU]:
+ §45
+
+ unit, international – arbitrary – [iU]:
+ §45
+
+ unit, mean British thermal – energy – [Btu_m]:
+ §43
+
+ unit, peripheral vascular resistance – fluid resistance – [PRU]:
+ §44
+
+ unit, protein nitrogen – procedure defined amount of a protein substance – [PNU]:
+ §45
+
+ unit, thermochemical British thermal – energy – [Btu_th]:
+ §43
+
+ unit, tuberculin – biologic activity of tuberculin – [tb'U]:
+ §45
+
+ unit, unified atomic mass – mass – u:
+ §31
+
+ units, colony forming – amount of a proliferating organism – [CFU]:
+ §45
+
+ units, focus forming – amount of an infectious agent – [FFU]:
+ §45
+
+ units, plaque forming – amount of an infectious agent – [PFU]:
+ §45
+
+ vacuum, permeability of – magnetic permeability – [mu_0]:
+ §32
+
+ vacuum, permittivity of – electric permittivity – [eps_0]:
+ §32
+
+ vascular resistance unit, peripheral – fluid resistance – [PRU]:
+ §44
+
+ velocity of light – velocity – [c]:
+ §32
+
+ volt – electric potential – V:
+ §30
+
+ volt, bel – electric potential level – B[V]:
+ §46
+
+ water column, inch of – pressure – [in_i'H2O]:
+ §44
+
+ water column, meter of – pressure – m[H2O]:
+ §44
+
+ watt – power – W:
+ §30
+
+ watt, bel – power level – B[W]:
+ §46
+
+ weber – magnetic flux – Wb:
+ §30
+
+ week – time – wk:
+ §31
+
+ wet tissue, kilogram of – mass – kg{wet'tis}:
+ §50
+
+ winchester gallon, historical – dry volume – [gal_wi]:
+ §37
+
+ wine gallon, Queen Anne's – fluid volume – [gal_us]:
+ §37
+
+ yard – length – [yd_br]:
+ §36
+
+ yard – length – [yd_i]:
+ §34
+
+ yard – length – [yd_us]:
+ §35
+
+ yard, cubic – volume – [cyd_i]:
+ §34
+
+ yard, square – area – [syd_i]:
+ §34
+
+ year – time – a:
+ §31
+
+ year, mean Gregorian – time – a_g:
+ §31
+
+ year, mean Julian – time – a_j:
+ §31
+
+ year, tropical – time – a_t:
+ §31
+
+ yocto – prefix – y:
+ §27
+
+ yotta – prefix – Y:
+ §27
+
+ zepto – prefix – z:
+ §27
+
+ zetta – prefix – Z:
+ §27
+
+ Ångström – length – Ao:
+ §47
+
+
+
+
+
+
+ Alphabetic Index By Symbol
+
+
+
+ % – percent – fraction:
+ §29
+
+ %[slope] – percent of slope – slope:
+ §44
+
+ ' – minute – plane angle:
+ §31
+
+ '' – second – plane angle:
+ §31
+
+ 10* – the number ten for arbitrary powers – number:
+ §29
+
+ 10^ – the number ten for arbitrary powers – number:
+ §29
+
+ A – ampère – electric current:
+ §30
+
+ AU – astronomic unit – length:
+ §31
+
+ Ao – Ångström – length:
+ §47
+
+ B – bel – level:
+ §46
+
+ B[10.nV] – bel 10 nanovolt – electric potential level:
+ §46
+
+ B[SPL] – bel sound pressure – pressure level:
+ §46
+
+ B[V] – bel volt – electric potential level:
+ §46
+
+ B[W] – bel watt – power level:
+ §46
+
+ B[kW] – bel kilowatt – power level:
+ §46
+
+ B[mV] – bel millivolt – electric potential level:
+ §46
+
+ B[uV] – bel microvolt – electric potential level:
+ §46
+
+ Bd – baud – signal transmission rate:
+ §48
+
+ Bi – Biot – electric current:
+ §33
+
+ Bq – becquerel – radioactivity:
+ §30
+
+ By – byte – amount of information:
+ §48
+
+ C – coulomb – electric charge:
+ §28
+
+ Cel – degree Celsius – temperature:
+ §30
+
+ Ci – Curie – radioactivity:
+ §33
+
+ E – exa – prefix :
+ §27
+
+ F – farad – electric capacitance:
+ §30
+
+ G – Gauss – magnetic flux density:
+ §33
+
+ G – giga – prefix :
+ §27
+
+ Gal – Gal – acceleration:
+ §33
+
+ Gb – Gilbert – magnetic tension:
+ §33
+
+ Gi – gibi – prefix :
+ §49
+
+ Gy – gray – energy dose:
+ §30
+
+ H – henry – inductance:
+ §30
+
+ Hz – hertz – frequency:
+ §30
+
+ J – joule – energy:
+ §30
+
+ K – kelvin – temperature:
+ §28
+
+ Ki – kibi – prefix :
+ §49
+
+ Ky – Kayser – lineic number:
+ §33
+
+ L – liter – volume:
+ §31
+
+ Lmb – Lambert – brightness:
+ §33
+
+ M – mega – prefix :
+ §27
+
+ Mi – mebi – prefix :
+ §49
+
+ Mx – Maxwell – flux of magnetic induction:
+ §33
+
+ N – newton – force:
+ §30
+
+ Np – neper – level:
+ §46
+
+ Oe – Oersted – magnetic field intensity:
+ §33
+
+ Ohm – ohm – electric resistance:
+ §30
+
+ P – Poise – dynamic viscosity:
+ §33
+
+ P – peta – prefix :
+ §27
+
+ Pa – pascal – pressure:
+ §30
+
+ R – Roentgen – ion dose:
+ §33
+
+ RAD – radiation absorbed dose – energy dose:
+ §33
+
+ REM – radiation equivalent man – dose equivalent:
+ §33
+
+ S – siemens – electric conductance:
+ §30
+
+ St – Stokes – kinematic viscosity:
+ §33
+
+ Sv – sievert – dose equivalent:
+ §30
+
+ T – tera – prefix :
+ §27
+
+ T – tesla – magnetic flux density:
+ §30
+
+ Ti – tebi – prefix :
+ §49
+
+ U – Unit – catalytic activity:
+ §45
+
+ V – volt – electric potential:
+ §30
+
+ W – watt – power:
+ §30
+
+ Wb – weber – magnetic flux:
+ §30
+
+ Y – yotta – prefix :
+ §27
+
+ Z – zetta – prefix :
+ §27
+
+ [APL'U] – APL unit – biologic activity of anticardiolipin IgA:
+ §45
+
+ [AU] – allergen unit – procedure defined amount of an allergen using some reference standard:
+ §45
+
+ [Amb'a'1'U] – allergen unit for Ambrosia artemisiifolia – procedure defined amount of the major allergen of ragweed.:
+ §45
+
+ [BAU] – bioequivalent allergen unit – amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters:
+ §45
+
+ [Btu] – British thermal unit – energy:
+ §43
+
+ [Btu_39] – British thermal unit at 39 °F – energy:
+ §43
+
+ [Btu_59] – British thermal unit at 59 °F – energy:
+ §43
+
+ [Btu_60] – British thermal unit at 60 °F – energy:
+ §43
+
+ [Btu_IT] – international table British thermal unit – energy:
+ §43
+
+ [Btu_m] – mean British thermal unit – energy:
+ §43
+
+ [Btu_th] – thermochemical British thermal unit – energy:
+ §43
+
+ [CCID_50] – 50% cell culture infectious dose – biologic activity (infectivity) of an infectious agent preparation:
+ §45
+
+ [CFU] – colony forming units – amount of a proliferating organism:
+ §45
+
+ [Cal] – nutrition label Calories – energy:
+ §43
+
+ [Ch] – Charrière french – gauge of catheters:
+ §44
+
+ [D'ag'U] – D-antigen unit – procedure defined amount of a poliomyelitis d-antigen substance:
+ §45
+
+ [EID_50] – 50% embryo infectious dose – biologic activity (infectivity) of an infectious agent preparation:
+ §45
+
+ [ELU] – ELISA unit – arbitrary ELISA unit:
+ §45
+
+ [EU] – Ehrlich unit – Ehrlich unit:
+ §45
+
+ [FEU] – fibrinogen equivalent unit – amount of fibrinogen broken down into the measured d-dimers:
+ §45
+
+ [FFU] – focus forming units – amount of an infectious agent:
+ §45
+
+ [GPL'U] – GPL unit – biologic activity of anticardiolipin IgG:
+ §45
+
+ [G] – Newtonian constant of gravitation – (unclassified):
+ §32
+
+ [HPF] – high power field – view area in microscope:
+ §45
+
+ [HP] – horsepower – power:
+ §43
+
+ [IR] – index of reactivity – amount of an allergen callibrated through in-vivo testing using the Stallergenes® method.:
+ §45
+
+ [IU] – international unit – arbitrary:
+ §45
+
+ [LPF] – low power field – view area in microscope:
+ §45
+
+ [Lf] – Limit of flocculation – procedure defined amount of an antigen substance:
+ §45
+
+ [MET] – metabolic equivalent – metabolic cost of physical activity:
+ §44
+
+ [MPL'U] – MPL unit – biologic activity of anticardiolipin IgM:
+ §45
+
+ [PFU] – plaque forming units – amount of an infectious agent:
+ §45
+
+ [PNU] – protein nitrogen unit – procedure defined amount of a protein substance:
+ §45
+
+ [PRU] – peripheral vascular resistance unit – fluid resistance:
+ §44
+
+ [S] – Svedberg unit – sedimentation coefficient:
+ §45
+
+ [TCID_50] – 50% tissue culture infectious dose – biologic activity (infectivity) of an infectious agent preparation:
+ §45
+
+ [USP'U] – United States Pharmacopeia unit – arbitrary:
+ §45
+
+ [acr_br] – acre – area:
+ §36
+
+ [acr_us] – acre – area:
+ §35
+
+ [anti'Xa'U] – anti factor Xa unit – biologic activity of factor Xa inhibitor (heparin):
+ §45
+
+ [arb'U] – arbitary unit – arbitrary:
+ §45
+
+ [bbl_us] – barrel – fluid volume:
+ §37
+
+ [bdsk'U] – Bodansky unit – biologic activity of phosphatase:
+ §45
+
+ [beth'U] – Bethesda unit – biologic activity of factor VIII inhibitor:
+ §45
+
+ [bf_i] – board foot – volume:
+ §34
+
+ [bu_br] – bushel – volume:
+ §38
+
+ [bu_us] – bushel – dry volume:
+ §37
+
+ [c] – velocity of light – velocity:
+ §32
+
+ [car_Au] – carat of gold alloys – mass fraction:
+ §47
+
+ [car_m] – metric carat – mass:
+ §47
+
+ [cft_i] – cubic foot – volume:
+ §34
+
+ [ch_br] – Gunter's chain – length:
+ §36
+
+ [ch_us] – Gunter's chain Surveyor's chain – length:
+ §35
+
+ [cicero] – cicero Didot's pica – length:
+ §42
+
+ [cin_i] – cubic inch – volume:
+ §34
+
+ [cml_i] – circular mil – area:
+ §34
+
+ [cr_i] – cord – volume:
+ §34
+
+ [crd_us] – cord – fluid volume:
+ §37
+
+ [cup_m] – metric cup – volume:
+ §37
+
+ [cup_us] – cup – volume:
+ §37
+
+ [cyd_i] – cubic yard – volume:
+ §34
+
+ [degF] – degree Fahrenheit – temperature:
+ §43
+
+ [degR] – degree Rankine – temperature:
+ §43
+
+ [degRe] – degree Réaumur – temperature:
+ §43
+
+ [den] – Denier – linear mass density (of textile thread):
+ §43
+
+ [didot] – didot Didot's point – length:
+ §42
+
+ [diop] – diopter – refraction of a lens:
+ §44
+
+ [dpt_us] – dry pint – dry volume:
+ §37
+
+ [dqt_us] – dry quart – dry volume:
+ §37
+
+ [dr_ap] – dram drachm – mass:
+ §41
+
+ [dr_av] – dram – mass:
+ §39
+
+ [drp] – drop – volume:
+ §44
+
+ [dye'U] – Dye unit – biologic activity of amylase:
+ §45
+
+ [e] – elementary charge – electric charge:
+ §32
+
+ [eps_0] – permittivity of vacuum – electric permittivity:
+ §32
+
+ [fdr_br] – fluid dram – volume:
+ §38
+
+ [fdr_us] – fluid dram – fluid volume:
+ §37
+
+ [foz_br] – fluid ounce – volume:
+ §38
+
+ [foz_m] – metric fluid ounce – fluid volume:
+ §37
+
+ [foz_us] – fluid ounce – fluid volume:
+ §37
+
+ [ft_br] – foot – length:
+ §36
+
+ [ft_i] – foot – length:
+ §34
+
+ [ft_us] – foot – length:
+ §35
+
+ [fth_br] – fathom – length:
+ §36
+
+ [fth_i] – fathom – depth of water:
+ §34
+
+ [fth_us] – fathom – length:
+ §35
+
+ [fur_us] – furlong – length:
+ §35
+
+ [g] – standard acceleration of free fall – acceleration:
+ §32
+
+ [gal_br] – gallon – volume:
+ §38
+
+ [gal_us] – Queen Anne's wine gallon – fluid volume:
+ §37
+
+ [gal_wi] – historical winchester gallon – dry volume:
+ §37
+
+ [gil_br] – gill – volume:
+ §38
+
+ [gil_us] – gill – fluid volume:
+ §37
+
+ [gr] – grain – mass:
+ §39
+
+ [h] – Planck constant – action:
+ §32
+
+ [hd_i] – hand – height of horses:
+ §34
+
+ [hnsf'U] – Hounsfield unit – x-ray attenuation:
+ §44
+
+ [hp'_C] – homeopathic potency of centesimal series (retired) – homeopathic potency (retired):
+ §44
+
+ [hp'_M] – homeopathic potency of millesimal series (retired) – homeopathic potency (retired):
+ §44
+
+ [hp'_Q] – homeopathic potency of quintamillesimal series (retired) – homeopathic potency (retired):
+ §44
+
+ [hp'_X] – homeopathic potency of decimal series (retired) – homeopathic potency (retired):
+ §44
+
+ [hp_C] – homeopathic potency of centesimal hahnemannian series – homeopathic potency (Hahnemann):
+ §44
+
+ [hp_M] – homeopathic potency of millesimal hahnemannian series – homeopathic potency (Hahnemann):
+ §44
+
+ [hp_Q] – homeopathic potency of quintamillesimal hahnemannian series – homeopathic potency (Hahnemann):
+ §44
+
+ [hp_X] – homeopathic potency of decimal hahnemannian series – homeopathic potency (Hahnemann):
+ §44
+
+ [iU] – international unit – arbitrary:
+ §45
+
+
+
+
+ [in_br] – inch – length:
+ §36
+
+ [in_i'H2O] – inch of water column – pressure:
+ §44
+
+ [in_i'Hg] – inch of mercury column – pressure:
+ §44
+
+ [in_i] – inch – length:
+ §34
+
+ [in_us] – inch – length:
+ §35
+
+ [k] – Boltzmann constant – (unclassified):
+ §32
+
+ [ka'U] – King-Armstrong unit – biologic activity of phosphatase:
+ §45
+
+ [kn_br] – knot – velocity:
+ §36
+
+ [kn_i] – knot – velocity:
+ §34
+
+ [knk'U] – Kunkel unit – arbitrary biologic activity:
+ §45
+
+ [kp_C] – homeopathic potency of centesimal korsakovian series – homeopathic potency (Korsakov):
+ §44
+
+ [kp_M] – homeopathic potency of millesimal korsakovian series – homeopathic potency (Korsakov):
+ §44
+
+ [kp_Q] – homeopathic potency of quintamillesimal korsakovian series – homeopathic potency (Korsakov):
+ §44
+
+ [kp_X] – homeopathic potency of decimal korsakovian series – homeopathic potency (Korsakov):
+ §44
+
+ [lb_ap] – pound – mass:
+ §41
+
+ [lb_av] – pound – mass:
+ §39
+
+ [lb_tr] – pound – mass:
+ §40
+
+ [lbf_av] – pound force – force:
+ §32
+
+ [lcwt_av] – long hunderdweight British hundredweight – mass:
+ §39
+
+ [ligne] – ligne French line – length:
+ §42
+
+ [lk_br] – link for Gunter's chain – length:
+ §36
+
+ [lk_us] – link for Gunter's chain – length:
+ §35
+
+ [lne] – line – length:
+ §42
+
+ [lton_av] – long ton British ton – mass:
+ §39
+
+ [ly] – light-year – length:
+ §32
+
+ [m/s2/Hz^(1/2)] – meter per square seconds per square root of hertz – amplitude spectral density:
+ §47
+
+ [m_e] – electron mass – mass:
+ §32
+
+ [m_p] – proton mass – mass:
+ §32
+
+ [mclg'U] – Mac Lagan unit – arbitrary biologic activity:
+ §45
+
+ [mesh_i] – mesh – lineic number:
+ §44
+
+ [mi_br] – mile – length:
+ §36
+
+ [mi_i] – mile – length:
+ §34
+
+ [mi_us] – mile – length:
+ §35
+
+ [mil_i] – mil – length:
+ §34
+
+ [mil_us] – mil – length:
+ §35
+
+ [min_br] – minim – volume:
+ §38
+
+ [min_us] – minim – fluid volume:
+ §37
+
+ [mu_0] – permeability of vacuum – magnetic permeability:
+ §32
+
+ [nmi_br] – nautical mile – length:
+ §36
+
+ [nmi_i] – nautical mile – length:
+ §34
+
+ [oz_ap] – ounce – mass:
+ §41
+
+ [oz_av] – ounce – mass:
+ §39
+
+ [oz_m] – metric ounce – mass:
+ §41
+
+ [oz_tr] – ounce – mass:
+ §40
+
+ [p'diop] – prism diopter – refraction of a prism:
+ §44
+
+ [pH] – pH – acidity:
+ §45
+
+ [pc_br] – pace – length:
+ §36
+
+ [pca] – pica – length:
+ §42
+
+ [pca_pr] – Printer's pica – length:
+ §42
+
+ [pi] – the number pi – number:
+ §29
+
+ [pied] – pied French foot – length:
+ §42
+
+ [pk_br] – peck – volume:
+ §38
+
+ [pk_us] – peck – dry volume:
+ §37
+
+ [pnt] – point – length:
+ §42
+
+ [pnt_pr] – Printer's point – length:
+ §42
+
+ [pouce] – pouce French inch – length:
+ §42
+
+ [ppb] – parts per billion – fraction:
+ §29
+
+ [ppm] – parts per million – fraction:
+ §29
+
+ [ppth] – parts per thousand – fraction:
+ §29
+
+ [pptr] – parts per trillion – fraction:
+ §29
+
+ [psi] – pound per sqare inch – pressure:
+ §47
+
+ [pt_br] – pint – volume:
+ §38
+
+ [pt_us] – pint – fluid volume:
+ §37
+
+ [pwt_tr] – pennyweight – mass:
+ §40
+
+ [qt_br] – quart – volume:
+ §38
+
+ [qt_us] – quart – fluid volume:
+ §37
+
+ [rch_us] – Ramden's chain Engineer's chain – length:
+ §35
+
+ [rd_br] – rod – length:
+ §36
+
+ [rd_us] – rod – length:
+ §35
+
+ [rlk_us] – link for Ramden's chain – length:
+ §35
+
+ [sc_ap] – scruple – mass:
+ §41
+
+ [sct] – section – area:
+ §35
+
+ [scwt_av] – short hundredweight U.S. hundredweight – mass:
+ §39
+
+ [sft_i] – square foot – area:
+ §34
+
+ [sin_i] – square inch – area:
+ §34
+
+ [smgy'U] – Somogyi unit – biologic activity of amylase:
+ §45
+
+ [smi_us] – square mile – area:
+ §35
+
+ [smoot] – Smoot – length:
+ §47
+
+ [srd_us] – square rod – area:
+ §35
+
+ [ston_av] – short ton U.S. ton – mass:
+ §39
+
+ [stone_av] – stone British stone – mass:
+ §39
+
+ [syd_i] – square yard – area:
+ §34
+
+ [tb'U] – tuberculin unit – biologic activity of tuberculin:
+ §45
+
+ [tbs_m] – metric tablespoon – volume:
+ §37
+
+ [tbs_us] – tablespoon – volume:
+ §37
+
+ [todd'U] – Todd unit – biologic activity antistreptolysin O:
+ §45
+
+ [tsp_m] – metric teaspoon – volume:
+ §37
+
+ [tsp_us] – teaspoon – volume:
+ §37
+
+ [twp] – township – area:
+ §35
+
+ [wood'U] – Wood unit – fluid resistance:
+ §44
+
+ [yd_br] – yard – length:
+ §36
+
+ [yd_i] – yard – length:
+ §34
+
+ [yd_us] – yard – length:
+ §35
+
+ a – atto – prefix :
+ §27
+
+ a – year – time:
+ §31
+
+ a_g – mean Gregorian year – time:
+ §31
+
+ a_j – mean Julian year – time:
+ §31
+
+ a_t – tropical year – time:
+ §31
+
+ ar – are – area:
+ §31
+
+ atm – standard atmosphere – pressure:
+ §32
+
+ att – technical atmosphere – pressure:
+ §47
+
+ b – barn – action area:
+ §47
+
+ bar – bar – pressure:
+ §31
+
+ bit – bit – amount of information:
+ §48
+
+ bit_s – bit – amount of information:
+ §48
+
+ c – centi – prefix :
+ §27
+
+ cal – calorie – energy:
+ §43
+
+ cal_IT – international table calorie – energy:
+ §43
+
+ cal_[15] – calorie at 15 °C – energy:
+ §43
+
+ cal_[20] – calorie at 20 °C – energy:
+ §43
+
+ cal_m – mean calorie – energy:
+ §43
+
+ cal_th – thermochemical calorie – energy:
+ §43
+
+ cd – candela – luminous intensity:
+ §28
+
+ circ – circle – plane angle:
+ §47
+
+ d – day – time:
+ §31
+
+ d – deci – prefix :
+ §27
+
+ da – deka – prefix :
+ §27
+
+ deg – degree – plane angle:
+ §31
+
+ dyn – dyne – force:
+ §33
+
+ eV – electronvolt – energy:
+ §31
+
+ eq – equivalents – amount of substance:
+ §45
+
+ erg – erg – energy:
+ §33
+
+ f – femto – prefix :
+ §27
+
+ g – gram – mass:
+ §28
+
+ g% – gram percent – mass concentration:
+ §45
+
+ g.m/{H.B.} – gram meter per heartbeat – proportional to ventricular stroke work:
+ §50
+
+ gf – gram-force – force:
+ §32
+
+ gf.m/{H.B.} – gram-force meter per heartbeat – ventricular stroke work:
+ §50
+
+ gon – gon grade – plane angle:
+ §31
+
+ h – hecto – prefix :
+ §27
+
+ h – hour – time:
+ §31
+
+ k – kilo – prefix :
+ §27
+
+ kat – katal – catalytic activity:
+ §45
+
+ kg{wet'tis} – kilogram of wet tissue – mass:
+ §50
+
+ l – liter – volume:
+ §31
+
+ lm – lumen – luminous flux:
+ §30
+
+ lx – lux – illuminance:
+ §30
+
+ m – meter – length:
+ §28
+
+ m – milli – prefix :
+ §27
+
+ m[H2O] – meter of water column – pressure:
+ §44
+
+ m[Hg] – meter of mercury column – pressure:
+ §44
+
+ mg{creat} – milligram of creatinine – mass:
+ §50
+
+ mho – mho – electric conductance:
+ §47
+
+ min – minute – time:
+ §31
+
+ mo – month – time:
+ §31
+
+ mo_g – mean Gregorian month – time:
+ §31
+
+ mo_j – mean Julian month – time:
+ §31
+
+ mo_s – synodal month – time:
+ §31
+
+ mol – mole – amount of substance:
+ §30
+
+ n – nano – prefix :
+ §27
+
+ osm – osmole – amount of substance (dissolved particles):
+ §45
+
+ p – pico – prefix :
+ §27
+
+ pc – parsec – length:
+ §31
+
+ ph – phot – illuminance:
+ §33
+
+ rad – radian – plane angle:
+ §28
+
+ s – second – time:
+ §28
+
+ sb – stilb – lum. intensity density:
+ §33
+
+ sph – spere – solid angle:
+ §47
+
+ sr – steradian – solid angle:
+ §30
+
+ st – stere – volume:
+ §47
+
+ t – tonne – mass:
+ §31
+
+ tex – tex – linear mass density (of textile thread):
+ §43
+
+ u – micro – prefix :
+ §27
+
+ u – unified atomic mass unit – mass:
+ §31
+
+ wk – week – time:
+ §31
+
+ y – yocto – prefix :
+ §27
+
+ z – zepto – prefix :
+ §27
+
+ {rbc} – red blood cell count – number:
+ §50
+
+ {tbl} – tablets – number:
+ §50
+
+ {tot} – particles total count – number:
+ §50
+
+
+
+
+
+
+ Alphabetic Index By Kind Of Quantity
+
+
+
+ (Hahnemann), homeopathic potency – homeopathic potency of centesimal hahnemannian series – [hp_C]:
+ §44
+
+ (Hahnemann), homeopathic potency – homeopathic potency of decimal hahnemannian series – [hp_X]:
+ §44
+
+ (Hahnemann), homeopathic potency – homeopathic potency of millesimal hahnemannian series – [hp_M]:
+ §44
+
+ (Hahnemann), homeopathic potency – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]:
+ §44
+
+ (Korsakov), homeopathic potency – homeopathic potency of centesimal korsakovian series – [kp_C]:
+ §44
+
+ (Korsakov), homeopathic potency – homeopathic potency of decimal korsakovian series – [kp_X]:
+ §44
+
+ (Korsakov), homeopathic potency – homeopathic potency of millesimal korsakovian series – [kp_M]:
+ §44
+
+ (Korsakov), homeopathic potency – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]:
+ §44
+
+ (dissolved particles), amount of substance – osmole – osm:
+ §45
+
+ (heparin), biologic activity of factor Xa inhibitor – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ (infectivity) of an infectious agent preparation, biologic activity – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ (infectivity) of an infectious agent preparation, biologic activity – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ (infectivity) of an infectious agent preparation, biologic activity – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of – bioequivalent allergen unit – [BAU]:
+ §45
+
+ (of textile thread), linear mass density – Denier – [den]:
+ §43
+
+ (of textile thread), linear mass density – tex – tex:
+ §43
+
+ (retired), homeopathic potency – homeopathic potency of centesimal series (retired) – [hp'_C]:
+ §44
+
+ (retired), homeopathic potency – homeopathic potency of decimal series (retired) – [hp'_X]:
+ §44
+
+ (retired), homeopathic potency – homeopathic potency of millesimal series (retired) – [hp'_M]:
+ §44
+
+ (retired), homeopathic potency – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]:
+ §44
+
+ (unclassified) – Boltzmann constant – [k]:
+ §32
+
+ (unclassified) – Newtonian constant of gravitation – [G]:
+ §32
+
+ 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for – bioequivalent allergen unit – [BAU]:
+ §45
+
+ ELISA unit, arbitrary – ELISA unit – [ELU]:
+ §45
+
+ Ehrlich unit – Ehrlich unit – [EU]:
+ §45
+
+ ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the – bioequivalent allergen unit – [BAU]:
+ §45
+
+ IgA, biologic activity of anticardiolipin – APL unit – [APL'U]:
+ §45
+
+ IgG, biologic activity of anticardiolipin – GPL unit – [GPL'U]:
+ §45
+
+ IgM, biologic activity of anticardiolipin – MPL unit – [MPL'U]:
+ §45
+
+ O, biologic activity antistreptolysin – Todd unit – [todd'U]:
+ §45
+
+ Stallergenes® method., amount of an allergen callibrated through in-vivo testing using the – index of reactivity – [IR]:
+ §45
+
+ VIII inhibitor, biologic activity of factor – Bethesda unit – [beth'U]:
+ §45
+
+ Xa inhibitor (heparin), biologic activity of factor – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ a lens, refraction of – diopter – [diop]:
+ §44
+
+ a poliomyelitis d-antigen substance, procedure defined amount of – D-antigen unit – [D'ag'U]:
+ §45
+
+ a prism, refraction of – prism diopter – [p'diop]:
+ §44
+
+ a proliferating organism, amount of – colony forming units – [CFU]:
+ §45
+
+ a protein substance, procedure defined amount of – protein nitrogen unit – [PNU]:
+ §45
+
+ acceleration – Gal – Gal:
+ §33
+
+ acceleration – standard acceleration of free fall – [g]:
+ §32
+
+ acidity – pH – [pH]:
+ §45
+
+ action area – barn – b:
+ §47
+
+ action – Planck constant – [h]:
+ §32
+
+ activity (infectivity) of an infectious agent preparation, biologic – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ activity (infectivity) of an infectious agent preparation, biologic – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ activity (infectivity) of an infectious agent preparation, biologic – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ activity antistreptolysin O, biologic – Todd unit – [todd'U]:
+ §45
+
+ activity of amylase, biologic – Dye unit – [dye'U]:
+ §45
+
+ activity of amylase, biologic – Somogyi unit – [smgy'U]:
+ §45
+
+ activity of anticardiolipin IgA, biologic – APL unit – [APL'U]:
+ §45
+
+ activity of anticardiolipin IgG, biologic – GPL unit – [GPL'U]:
+ §45
+
+ activity of anticardiolipin IgM, biologic – MPL unit – [MPL'U]:
+ §45
+
+ activity of factor VIII inhibitor, biologic – Bethesda unit – [beth'U]:
+ §45
+
+ activity of factor Xa inhibitor (heparin), biologic – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ activity of phosphatase, biologic – Bodansky unit – [bdsk'U]:
+ §45
+
+ activity of phosphatase, biologic – King-Armstrong unit – [ka'U]:
+ §45
+
+ activity of tuberculin, biologic – tuberculin unit – [tb'U]:
+ §45
+
+ activity, arbitrary biologic – Kunkel unit – [knk'U]:
+ §45
+
+ activity, arbitrary biologic – Mac Lagan unit – [mclg'U]:
+ §45
+
+ activity, catalytic – Unit – U:
+ §45
+
+ activity, catalytic – katal – kat:
+ §45
+
+ activity, metabolic cost of physical – metabolic equivalent – [MET]:
+ §44
+
+ agent preparation, biologic activity (infectivity) of an infectious – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ agent preparation, biologic activity (infectivity) of an infectious – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ agent preparation, biologic activity (infectivity) of an infectious – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ agent, amount of an infectious – focus forming units – [FFU]:
+ §45
+
+ agent, amount of an infectious – plaque forming units – [PFU]:
+ §45
+
+ allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an – bioequivalent allergen unit – [BAU]:
+ §45
+
+ allergen callibrated through in-vivo testing using the Stallergenes® method., amount of an – index of reactivity – [IR]:
+ §45
+
+ allergen of ragweed., procedure defined amount of the major – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ allergen using some reference standard, procedure defined amount of an – allergen unit – [AU]:
+ §45
+
+ amount of a poliomyelitis d-antigen substance, procedure defined – D-antigen unit – [D'ag'U]:
+ §45
+
+ amount of a proliferating organism – colony forming units – [CFU]:
+ §45
+
+ amount of a protein substance, procedure defined – protein nitrogen unit – [PNU]:
+ §45
+
+ amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – bioequivalent allergen unit – [BAU]:
+ §45
+
+ amount of an allergen callibrated through in-vivo testing using the Stallergenes® method. – index of reactivity – [IR]:
+ §45
+
+ amount of an allergen using some reference standard, procedure defined – allergen unit – [AU]:
+ §45
+
+ amount of an antigen substance, procedure defined – Limit of flocculation – [Lf]:
+ §45
+
+ amount of an infectious agent – focus forming units – [FFU]:
+ §45
+
+ amount of an infectious agent – plaque forming units – [PFU]:
+ §45
+
+ amount of fibrinogen broken down into the measured d-dimers – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ amount of information – bit – bit:
+ §48
+
+ amount of information – bit – bit_s:
+ §48
+
+ amount of information – byte – By:
+ §48
+
+ amount of substance (dissolved particles) – osmole – osm:
+ §45
+
+ amount of substance – equivalents – eq:
+ §45
+
+ amount of substance – mole – mol:
+ §30
+
+ amount of the major allergen of ragweed., procedure defined – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ amplitude spectral density – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]:
+ §47
+
+ amylase, biologic activity of – Dye unit – [dye'U]:
+ §45
+
+ amylase, biologic activity of – Somogyi unit – [smgy'U]:
+ §45
+
+ an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of – bioequivalent allergen unit – [BAU]:
+ §45
+
+ an allergen callibrated through in-vivo testing using the Stallergenes® method., amount of – index of reactivity – [IR]:
+ §45
+
+ an allergen using some reference standard, procedure defined amount of – allergen unit – [AU]:
+ §45
+
+ an antigen substance, procedure defined amount of – Limit of flocculation – [Lf]:
+ §45
+
+ an infectious agent preparation, biologic activity (infectivity) of – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ an infectious agent preparation, biologic activity (infectivity) of – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ an infectious agent preparation, biologic activity (infectivity) of – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ an infectious agent, amount of – focus forming units – [FFU]:
+ §45
+
+ an infectious agent, amount of – plaque forming units – [PFU]:
+ §45
+
+ angle, plane – circle – circ:
+ §47
+
+ angle, plane – degree – deg:
+ §31
+
+ angle, plane – gon grade – gon:
+ §31
+
+ angle, plane – minute – ':
+ §31
+
+ angle, plane – radian – rad:
+ §28
+
+ angle, plane – second – '':
+ §31
+
+ angle, solid – spere – sph:
+ §47
+
+ angle, solid – steradian – sr:
+ §30
+
+ anticardiolipin IgA, biologic activity of – APL unit – [APL'U]:
+ §45
+
+ anticardiolipin IgG, biologic activity of – GPL unit – [GPL'U]:
+ §45
+
+ anticardiolipin IgM, biologic activity of – MPL unit – [MPL'U]:
+ §45
+
+ antigen substance, procedure defined amount of an – Limit of flocculation – [Lf]:
+ §45
+
+ antistreptolysin O, biologic activity – Todd unit – [todd'U]:
+ §45
+
+ arbitrary ELISA unit – ELISA unit – [ELU]:
+ §45
+
+ arbitrary biologic activity – Kunkel unit – [knk'U]:
+ §45
+
+ arbitrary biologic activity – Mac Lagan unit – [mclg'U]:
+ §45
+
+ arbitrary – United States Pharmacopeia unit – [USP'U]:
+ §45
+
+ arbitrary – arbitary unit – [arb'U]:
+ §45
+
+ arbitrary – international unit – [IU]:
+ §45
+
+ arbitrary – international unit – [iU]:
+ §45
+
+ area in microscope, view – high power field – [HPF]:
+ §45
+
+ area in microscope, view – low power field – [LPF]:
+ §45
+
+ area – acre – [acr_br]:
+ §36
+
+ area – acre – [acr_us]:
+ §35
+
+ area – are – ar:
+ §31
+
+ area – circular mil – [cml_i]:
+ §34
+
+ area – section – [sct]:
+ §35
+
+ area – square foot – [sft_i]:
+ §34
+
+ area – square inch – [sin_i]:
+ §34
+
+ area – square mile – [smi_us]:
+ §35
+
+ area – square rod – [srd_us]:
+ §35
+
+ area – square yard – [syd_i]:
+ §34
+
+ area – township – [twp]:
+ §35
+
+ area, action – barn – b:
+ §47
+
+ attenuation, x-ray – Hounsfield unit – [hnsf'U]:
+ §44
+
+ based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing – bioequivalent allergen unit – [BAU]:
+ §45
+
+ biologic activity (infectivity) of an infectious agent preparation – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ biologic activity (infectivity) of an infectious agent preparation – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ biologic activity (infectivity) of an infectious agent preparation – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ biologic activity antistreptolysin O – Todd unit – [todd'U]:
+ §45
+
+ biologic activity of amylase – Dye unit – [dye'U]:
+ §45
+
+ biologic activity of amylase – Somogyi unit – [smgy'U]:
+ §45
+
+ biologic activity of anticardiolipin IgA – APL unit – [APL'U]:
+ §45
+
+ biologic activity of anticardiolipin IgG – GPL unit – [GPL'U]:
+ §45
+
+ biologic activity of anticardiolipin IgM – MPL unit – [MPL'U]:
+ §45
+
+ biologic activity of factor VIII inhibitor – Bethesda unit – [beth'U]:
+ §45
+
+ biologic activity of factor Xa inhibitor (heparin) – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ biologic activity of phosphatase – Bodansky unit – [bdsk'U]:
+ §45
+
+ biologic activity of phosphatase – King-Armstrong unit – [ka'U]:
+ §45
+
+ biologic activity of tuberculin – tuberculin unit – [tb'U]:
+ §45
+
+ biologic activity, arbitrary – Kunkel unit – [knk'U]:
+ §45
+
+ biologic activity, arbitrary – Mac Lagan unit – [mclg'U]:
+ §45
+
+ brightness – Lambert – Lmb:
+ §33
+
+ broken down into the measured d-dimers, amount of fibrinogen – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen – bioequivalent allergen unit – [BAU]:
+ §45
+
+ callibrated through in-vivo testing using the Stallergenes® method., amount of an allergen – index of reactivity – [IR]:
+ §45
+
+ capacitance, electric – farad – F:
+ §30
+
+ catalytic activity – Unit – U:
+ §45
+
+ catalytic activity – katal – kat:
+ §45
+
+ catheters, gauge of – Charrière french – [Ch]:
+ §44
+
+ charge, electric – coulomb – C:
+ §28
+
+ charge, electric – elementary charge – [e]:
+ §32
+
+ coefficient, sedimentation – Svedberg unit – [S]:
+ §45
+
+ concentration, mass – gram percent – g%:
+ §45
+
+ conductance, electric – mho – mho:
+ §47
+
+ conductance, electric – siemens – S:
+ §30
+
+ cost of physical activity, metabolic – metabolic equivalent – [MET]:
+ §44
+
+ current, electric – Biot – Bi:
+ §33
+
+ current, electric – ampère – A:
+ §30
+
+ d-antigen substance, procedure defined amount of a poliomyelitis – D-antigen unit – [D'ag'U]:
+ §45
+
+ d-dimers, amount of fibrinogen broken down into the measured – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ defined amount of a poliomyelitis d-antigen substance, procedure – D-antigen unit – [D'ag'U]:
+ §45
+
+ defined amount of a protein substance, procedure – protein nitrogen unit – [PNU]:
+ §45
+
+ defined amount of an allergen using some reference standard, procedure – allergen unit – [AU]:
+ §45
+
+ defined amount of an antigen substance, procedure – Limit of flocculation – [Lf]:
+ §45
+
+ defined amount of the major allergen of ragweed., procedure – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ density (of textile thread), linear mass – Denier – [den]:
+ §43
+
+ density (of textile thread), linear mass – tex – tex:
+ §43
+
+ density, amplitude spectral – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]:
+ §47
+
+ density, lum. intensity – stilb – sb:
+ §33
+
+ density, magnetic flux – Gauss – G:
+ §33
+
+ density, magnetic flux – tesla – T:
+ §30
+
+ depth of water – fathom – [fth_i]:
+ §34
+
+ diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema – bioequivalent allergen unit – [BAU]:
+ §45
+
+ dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal – bioequivalent allergen unit – [BAU]:
+ §45
+
+ dose equivalent – radiation equivalent man – REM:
+ §33
+
+ dose equivalent – sievert – Sv:
+ §30
+
+ dose, energy – gray – Gy:
+ §30
+
+ dose, energy – radiation absorbed dose – RAD:
+ §33
+
+ dose, ion – Roentgen – R:
+ §33
+
+ down into the measured d-dimers, amount of fibrinogen broken – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ dry volume – bushel – [bu_us]:
+ §37
+
+ dry volume – dry pint – [dpt_us]:
+ §37
+
+ dry volume – dry quart – [dqt_us]:
+ §37
+
+ dry volume – historical winchester gallon – [gal_wi]:
+ §37
+
+ dry volume – peck – [pk_us]:
+ §37
+
+ dynamic viscosity – Poise – P:
+ §33
+
+ electric capacitance – farad – F:
+ §30
+
+ electric charge – coulomb – C:
+ §28
+
+ electric charge – elementary charge – [e]:
+ §32
+
+ electric conductance – mho – mho:
+ §47
+
+ electric conductance – siemens – S:
+ §30
+
+ electric current – Biot – Bi:
+ §33
+
+ electric current – ampère – A:
+ §30
+
+ electric permittivity – permittivity of vacuum – [eps_0]:
+ §32
+
+ electric potential level – bel 10 nanovolt – B[10.nV]:
+ §46
+
+ electric potential level – bel microvolt – B[uV]:
+ §46
+
+ electric potential level – bel millivolt – B[mV]:
+ §46
+
+ electric potential level – bel volt – B[V]:
+ §46
+
+ electric potential – volt – V:
+ §30
+
+ electric resistance – ohm – Ohm:
+ §30
+
+ energy dose – gray – Gy:
+ §30
+
+ energy dose – radiation absorbed dose – RAD:
+ §33
+
+ energy – British thermal unit at 39 °F – [Btu_39]:
+ §43
+
+ energy – British thermal unit at 59 °F – [Btu_59]:
+ §43
+
+ energy – British thermal unit at 60 °F – [Btu_60]:
+ §43
+
+ energy – British thermal unit – [Btu]:
+ §43
+
+ energy – calorie at 15 °C – cal_[15]:
+ §43
+
+ energy – calorie at 20 °C – cal_[20]:
+ §43
+
+ energy – calorie – cal:
+ §43
+
+ energy – electronvolt – eV:
+ §31
+
+ energy – erg – erg:
+ §33
+
+ energy – international table British thermal unit – [Btu_IT]:
+ §43
+
+ energy – international table calorie – cal_IT:
+ §43
+
+ energy – joule – J:
+ §30
+
+ energy – mean British thermal unit – [Btu_m]:
+ §43
+
+ energy – mean calorie – cal_m:
+ §43
+
+ energy – nutrition label Calories – [Cal]:
+ §43
+
+ energy – thermochemical British thermal unit – [Btu_th]:
+ §43
+
+ energy – thermochemical calorie – cal_th:
+ §43
+
+ equivalent, dose – radiation equivalent man – REM:
+ §33
+
+ equivalent, dose – sievert – Sv:
+ §30
+
+ erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of – bioequivalent allergen unit – [BAU]:
+ §45
+
+ factor VIII inhibitor, biologic activity of – Bethesda unit – [beth'U]:
+ §45
+
+ factor Xa inhibitor (heparin), biologic activity of – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ fibrinogen broken down into the measured d-dimers, amount of – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ field intensity, magnetic – Oersted – Oe:
+ §33
+
+ fluid resistance – Wood unit – [wood'U]:
+ §44
+
+ fluid resistance – peripheral vascular resistance unit – [PRU]:
+ §44
+
+ fluid volume – Queen Anne's wine gallon – [gal_us]:
+ §37
+
+ fluid volume – barrel – [bbl_us]:
+ §37
+
+ fluid volume – cord – [crd_us]:
+ §37
+
+ fluid volume – fluid dram – [fdr_us]:
+ §37
+
+ fluid volume – fluid ounce – [foz_us]:
+ §37
+
+ fluid volume – gill – [gil_us]:
+ §37
+
+ fluid volume – metric fluid ounce – [foz_m]:
+ §37
+
+ fluid volume – minim – [min_us]:
+ §37
+
+ fluid volume – pint – [pt_us]:
+ §37
+
+ fluid volume – quart – [qt_us]:
+ §37
+
+ flux density, magnetic – Gauss – G:
+ §33
+
+ flux density, magnetic – tesla – T:
+ §30
+
+ flux of magnetic induction – Maxwell – Mx:
+ §33
+
+ flux, luminous – lumen – lm:
+ §30
+
+ flux, magnetic – weber – Wb:
+ §30
+
+ force – dyne – dyn:
+ §33
+
+ force – gram-force – gf:
+ §32
+
+ force – newton – N:
+ §30
+
+ force – pound force – [lbf_av]:
+ §32
+
+ fraction – parts per billion – [ppb]:
+ §29
+
+ fraction – parts per million – [ppm]:
+ §29
+
+ fraction – parts per thousand – [ppth]:
+ §29
+
+ fraction – parts per trillion – [pptr]:
+ §29
+
+ fraction – percent – %:
+ §29
+
+ fraction, mass – carat of gold alloys – [car_Au]:
+ §47
+
+ frequency – hertz – Hz:
+ §30
+
+ gauge of catheters – Charrière french – [Ch]:
+ §44
+
+ height of horses – hand – [hd_i]:
+ §34
+
+ homeopathic potency (Hahnemann) – homeopathic potency of centesimal hahnemannian series – [hp_C]:
+ §44
+
+ homeopathic potency (Hahnemann) – homeopathic potency of decimal hahnemannian series – [hp_X]:
+ §44
+
+ homeopathic potency (Hahnemann) – homeopathic potency of millesimal hahnemannian series – [hp_M]:
+ §44
+
+ homeopathic potency (Hahnemann) – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]:
+ §44
+
+ homeopathic potency (Korsakov) – homeopathic potency of centesimal korsakovian series – [kp_C]:
+ §44
+
+ homeopathic potency (Korsakov) – homeopathic potency of decimal korsakovian series – [kp_X]:
+ §44
+
+ homeopathic potency (Korsakov) – homeopathic potency of millesimal korsakovian series – [kp_M]:
+ §44
+
+ homeopathic potency (Korsakov) – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]:
+ §44
+
+ homeopathic potency (retired) – homeopathic potency of centesimal series (retired) – [hp'_C]:
+ §44
+
+ homeopathic potency (retired) – homeopathic potency of decimal series (retired) – [hp'_X]:
+ §44
+
+ homeopathic potency (retired) – homeopathic potency of millesimal series (retired) – [hp'_M]:
+ §44
+
+ homeopathic potency (retired) – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]:
+ §44
+
+ horses, height of – hand – [hd_i]:
+ §34
+
+ illuminance – lux – lx:
+ §30
+
+ illuminance – phot – ph:
+ §33
+
+ in microscope, view area – high power field – [HPF]:
+ §45
+
+ in microscope, view area – low power field – [LPF]:
+ §45
+
+ in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through – bioequivalent allergen unit – [BAU]:
+ §45
+
+ in-vivo testing using the Stallergenes® method., amount of an allergen callibrated through – index of reactivity – [IR]:
+ §45
+
+ inductance – henry – H:
+ §30
+
+ induction, flux of magnetic – Maxwell – Mx:
+ §33
+
+ infectious agent preparation, biologic activity (infectivity) of an – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ infectious agent preparation, biologic activity (infectivity) of an – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ infectious agent preparation, biologic activity (infectivity) of an – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ infectious agent, amount of an – focus forming units – [FFU]:
+ §45
+
+ infectious agent, amount of an – plaque forming units – [PFU]:
+ §45
+
+
+
+
+ information, amount of – bit – bit:
+ §48
+
+ information, amount of – bit – bit_s:
+ §48
+
+ information, amount of – byte – By:
+ §48
+
+ inhibitor (heparin), biologic activity of factor Xa – anti factor Xa unit – [anti'Xa'U]:
+ §45
+
+ inhibitor, biologic activity of factor VIII – Bethesda unit – [beth'U]:
+ §45
+
+ intensity density, lum. – stilb – sb:
+ §33
+
+ intensity, luminous – candela – cd:
+ §28
+
+ intensity, magnetic field – Oersted – Oe:
+ §33
+
+ into the measured d-dimers, amount of fibrinogen broken down – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ ion dose – Roentgen – R:
+ §33
+
+ kinematic viscosity – Stokes – St:
+ §33
+
+ length – Gunter's chain Surveyor's chain – [ch_us]:
+ §35
+
+ length – Gunter's chain – [ch_br]:
+ §36
+
+ length – Printer's pica – [pca_pr]:
+ §42
+
+ length – Printer's point – [pnt_pr]:
+ §42
+
+ length – Ramden's chain Engineer's chain – [rch_us]:
+ §35
+
+ length – Smoot – [smoot]:
+ §47
+
+ length – astronomic unit – AU:
+ §31
+
+ length – cicero Didot's pica – [cicero]:
+ §42
+
+ length – didot Didot's point – [didot]:
+ §42
+
+ length – fathom – [fth_br]:
+ §36
+
+ length – fathom – [fth_us]:
+ §35
+
+ length – foot – [ft_br]:
+ §36
+
+ length – foot – [ft_i]:
+ §34
+
+ length – foot – [ft_us]:
+ §35
+
+ length – furlong – [fur_us]:
+ §35
+
+ length – inch – [in_br]:
+ §36
+
+ length – inch – [in_i]:
+ §34
+
+ length – inch – [in_us]:
+ §35
+
+ length – light-year – [ly]:
+ §32
+
+ length – ligne French line – [ligne]:
+ §42
+
+ length – line – [lne]:
+ §42
+
+ length – link for Gunter's chain – [lk_br]:
+ §36
+
+ length – link for Gunter's chain – [lk_us]:
+ §35
+
+ length – link for Ramden's chain – [rlk_us]:
+ §35
+
+ length – meter – m:
+ §28
+
+ length – mil – [mil_i]:
+ §34
+
+ length – mil – [mil_us]:
+ §35
+
+ length – mile – [mi_br]:
+ §36
+
+ length – mile – [mi_i]:
+ §34
+
+ length – mile – [mi_us]:
+ §35
+
+ length – nautical mile – [nmi_br]:
+ §36
+
+ length – nautical mile – [nmi_i]:
+ §34
+
+ length – pace – [pc_br]:
+ §36
+
+ length – parsec – pc:
+ §31
+
+ length – pica – [pca]:
+ §42
+
+ length – pied French foot – [pied]:
+ §42
+
+ length – point – [pnt]:
+ §42
+
+ length – pouce French inch – [pouce]:
+ §42
+
+ length – rod – [rd_br]:
+ §36
+
+ length – rod – [rd_us]:
+ §35
+
+ length – yard – [yd_br]:
+ §36
+
+ length – yard – [yd_i]:
+ §34
+
+ length – yard – [yd_us]:
+ §35
+
+ length – Ångström – Ao:
+ §47
+
+ lens, refraction of a – diopter – [diop]:
+ §44
+
+ level – bel – B:
+ §46
+
+ level – neper – Np:
+ §46
+
+ level, electric potential – bel 10 nanovolt – B[10.nV]:
+ §46
+
+ level, electric potential – bel microvolt – B[uV]:
+ §46
+
+ level, electric potential – bel millivolt – B[mV]:
+ §46
+
+ level, electric potential – bel volt – B[V]:
+ §46
+
+ level, power – bel kilowatt – B[kW]:
+ §46
+
+ level, power – bel watt – B[W]:
+ §46
+
+ level, pressure – bel sound pressure – B[SPL]:
+ §46
+
+ linear mass density (of textile thread) – Denier – [den]:
+ §43
+
+ linear mass density (of textile thread) – tex – tex:
+ §43
+
+ lineic number – Kayser – Ky:
+ §33
+
+ lineic number – mesh – [mesh_i]:
+ §44
+
+ lum. intensity density – stilb – sb:
+ §33
+
+ luminous flux – lumen – lm:
+ §30
+
+ luminous intensity – candela – cd:
+ §28
+
+ magnetic field intensity – Oersted – Oe:
+ §33
+
+ magnetic flux density – Gauss – G:
+ §33
+
+ magnetic flux density – tesla – T:
+ §30
+
+ magnetic flux – weber – Wb:
+ §30
+
+ magnetic induction, flux of – Maxwell – Mx:
+ §33
+
+ magnetic permeability – permeability of vacuum – [mu_0]:
+ §32
+
+ magnetic tension – Gilbert – Gb:
+ §33
+
+ major allergen of ragweed., procedure defined amount of the – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ mass concentration – gram percent – g%:
+ §45
+
+ mass density (of textile thread), linear – Denier – [den]:
+ §43
+
+ mass density (of textile thread), linear – tex – tex:
+ §43
+
+ mass fraction – carat of gold alloys – [car_Au]:
+ §47
+
+ mass – dram drachm – [dr_ap]:
+ §41
+
+ mass – dram – [dr_av]:
+ §39
+
+ mass – electron mass – [m_e]:
+ §32
+
+ mass – grain – [gr]:
+ §39
+
+ mass – gram – g:
+ §28
+
+ mass – kilogram of wet tissue – kg{wet'tis}:
+ §50
+
+ mass – long hunderdweight British hundredweight – [lcwt_av]:
+ §39
+
+ mass – long ton British ton – [lton_av]:
+ §39
+
+ mass – metric carat – [car_m]:
+ §47
+
+ mass – metric ounce – [oz_m]:
+ §41
+
+ mass – milligram of creatinine – mg{creat}:
+ §50
+
+ mass – ounce – [oz_ap]:
+ §41
+
+ mass – ounce – [oz_av]:
+ §39
+
+ mass – ounce – [oz_tr]:
+ §40
+
+ mass – pennyweight – [pwt_tr]:
+ §40
+
+ mass – pound – [lb_ap]:
+ §41
+
+ mass – pound – [lb_av]:
+ §39
+
+ mass – pound – [lb_tr]:
+ §40
+
+ mass – proton mass – [m_p]:
+ §32
+
+ mass – scruple – [sc_ap]:
+ §41
+
+ mass – short hundredweight U.S. hundredweight – [scwt_av]:
+ §39
+
+ mass – short ton U.S. ton – [ston_av]:
+ §39
+
+ mass – stone British stone – [stone_av]:
+ §39
+
+ mass – tonne – t:
+ §31
+
+ mass – unified atomic mass unit – u:
+ §31
+
+ measured d-dimers, amount of fibrinogen broken down into the – fibrinogen equivalent unit – [FEU]:
+ §45
+
+ metabolic cost of physical activity – metabolic equivalent – [MET]:
+ §44
+
+ method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL – bioequivalent allergen unit – [BAU]:
+ §45
+
+ method., amount of an allergen callibrated through in-vivo testing using the Stallergenes® – index of reactivity – [IR]:
+ §45
+
+ microscope, view area in – high power field – [HPF]:
+ §45
+
+ microscope, view area in – low power field – [LPF]:
+ §45
+
+ number – particles total count – {tot}:
+ §50
+
+ number – red blood cell count – {rbc}:
+ §50
+
+ number – tablets – {tbl}:
+ §50
+
+ number – the number pi – [pi]:
+ §29
+
+ number – the number ten for arbitrary powers – 10*:
+ §29
+
+ number – the number ten for arbitrary powers – 10^:
+ §29
+
+ number, lineic – Kayser – Ky:
+ §33
+
+ number, lineic – mesh – [mesh_i]:
+ §44
+
+ on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based – bioequivalent allergen unit – [BAU]:
+ §45
+
+ organism, amount of a proliferating – colony forming units – [CFU]:
+ §45
+
+ particles), amount of substance (dissolved – osmole – osm:
+ §45
+
+ permeability, magnetic – permeability of vacuum – [mu_0]:
+ §32
+
+ permittivity, electric – permittivity of vacuum – [eps_0]:
+ §32
+
+ phosphatase, biologic activity of – Bodansky unit – [bdsk'U]:
+ §45
+
+ phosphatase, biologic activity of – King-Armstrong unit – [ka'U]:
+ §45
+
+ physical activity, metabolic cost of – metabolic equivalent – [MET]:
+ §44
+
+ plane angle – circle – circ:
+ §47
+
+ plane angle – degree – deg:
+ §31
+
+ plane angle – gon grade – gon:
+ §31
+
+ plane angle – minute – ':
+ §31
+
+ plane angle – radian – rad:
+ §28
+
+ plane angle – second – '':
+ §31
+
+ poliomyelitis d-antigen substance, procedure defined amount of a – D-antigen unit – [D'ag'U]:
+ §45
+
+ potency (Hahnemann), homeopathic – homeopathic potency of centesimal hahnemannian series – [hp_C]:
+ §44
+
+ potency (Hahnemann), homeopathic – homeopathic potency of decimal hahnemannian series – [hp_X]:
+ §44
+
+ potency (Hahnemann), homeopathic – homeopathic potency of millesimal hahnemannian series – [hp_M]:
+ §44
+
+ potency (Hahnemann), homeopathic – homeopathic potency of quintamillesimal hahnemannian series – [hp_Q]:
+ §44
+
+ potency (Korsakov), homeopathic – homeopathic potency of centesimal korsakovian series – [kp_C]:
+ §44
+
+ potency (Korsakov), homeopathic – homeopathic potency of decimal korsakovian series – [kp_X]:
+ §44
+
+ potency (Korsakov), homeopathic – homeopathic potency of millesimal korsakovian series – [kp_M]:
+ §44
+
+ potency (Korsakov), homeopathic – homeopathic potency of quintamillesimal korsakovian series – [kp_Q]:
+ §44
+
+ potency (retired), homeopathic – homeopathic potency of centesimal series (retired) – [hp'_C]:
+ §44
+
+ potency (retired), homeopathic – homeopathic potency of decimal series (retired) – [hp'_X]:
+ §44
+
+ potency (retired), homeopathic – homeopathic potency of millesimal series (retired) – [hp'_M]:
+ §44
+
+ potency (retired), homeopathic – homeopathic potency of quintamillesimal series (retired) – [hp'_Q]:
+ §44
+
+ potential level, electric – bel 10 nanovolt – B[10.nV]:
+ §46
+
+ potential level, electric – bel microvolt – B[uV]:
+ §46
+
+ potential level, electric – bel millivolt – B[mV]:
+ §46
+
+ potential level, electric – bel volt – B[V]:
+ §46
+
+ potential, electric – volt – V:
+ §30
+
+ power level – bel kilowatt – B[kW]:
+ §46
+
+ power level – bel watt – B[W]:
+ §46
+
+ power – horsepower – [HP]:
+ §43
+
+ power – watt – W:
+ §30
+
+ preparation, biologic activity (infectivity) of an infectious agent – 50% cell culture infectious dose – [CCID_50]:
+ §45
+
+ preparation, biologic activity (infectivity) of an infectious agent – 50% embryo infectious dose – [EID_50]:
+ §45
+
+ preparation, biologic activity (infectivity) of an infectious agent – 50% tissue culture infectious dose – [TCID_50]:
+ §45
+
+ pressure level – bel sound pressure – B[SPL]:
+ §46
+
+ pressure – bar – bar:
+ §31
+
+ pressure – inch of mercury column – [in_i'Hg]:
+ §44
+
+ pressure – inch of water column – [in_i'H2O]:
+ §44
+
+ pressure – meter of mercury column – m[Hg]:
+ §44
+
+ pressure – meter of water column – m[H2O]:
+ §44
+
+ pressure – pascal – Pa:
+ §30
+
+ pressure – pound per sqare inch – [psi]:
+ §47
+
+ pressure – standard atmosphere – atm:
+ §32
+
+ pressure – technical atmosphere – att:
+ §47
+
+ prism, refraction of a – prism diopter – [p'diop]:
+ §44
+
+ procedure defined amount of a poliomyelitis d-antigen substance – D-antigen unit – [D'ag'U]:
+ §45
+
+ procedure defined amount of a protein substance – protein nitrogen unit – [PNU]:
+ §45
+
+ procedure defined amount of an allergen using some reference standard – allergen unit – [AU]:
+ §45
+
+ procedure defined amount of an antigen substance – Limit of flocculation – [Lf]:
+ §45
+
+ procedure defined amount of the major allergen of ragweed. – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ proliferating organism, amount of a – colony forming units – [CFU]:
+ §45
+
+ proportional to ventricular stroke work – gram meter per heartbeat – g.m/{H.B.}:
+ §50
+
+ protein substance, procedure defined amount of a – protein nitrogen unit – [PNU]:
+ §45
+
+ radioactivity – Curie – Ci:
+ §33
+
+ radioactivity – becquerel – Bq:
+ §30
+
+ ragweed., procedure defined amount of the major allergen of – allergen unit for Ambrosia artemisiifolia – [Amb'a'1'U]:
+ §45
+
+ rate, signal transmission – baud – Bd:
+ §48
+
+ reference standard, procedure defined amount of an allergen using some – allergen unit – [AU]:
+ §45
+
+ refraction of a lens – diopter – [diop]:
+ §44
+
+ refraction of a prism – prism diopter – [p'diop]:
+ §44
+
+ resistance, electric – ohm – Ohm:
+ §30
+
+ resistance, fluid – Wood unit – [wood'U]:
+ §44
+
+ resistance, fluid – peripheral vascular resistance unit – [PRU]:
+ §44
+
+ sedimentation coefficient – Svedberg unit – [S]:
+ §45
+
+ signal transmission rate – baud – Bd:
+ §48
+
+ slope – percent of slope – %[slope]:
+ §44
+
+ solid angle – spere – sph:
+ §47
+
+ solid angle – steradian – sr:
+ §30
+
+ some reference standard, procedure defined amount of an allergen using – allergen unit – [AU]:
+ §45
+
+ spectral density, amplitude – meter per square seconds per square root of hertz – [m/s2/Hz^(1/2)]:
+ §47
+
+ standard, procedure defined amount of an allergen using some reference – allergen unit – [AU]:
+ §45
+
+ stroke work, proportional to ventricular – gram meter per heartbeat – g.m/{H.B.}:
+ §50
+
+ stroke work, ventricular – gram-force meter per heartbeat – gf.m/{H.B.}:
+ §50
+
+ substance (dissolved particles), amount of – osmole – osm:
+ §45
+
+ substance, amount of – equivalents – eq:
+ §45
+
+ substance, amount of – mole – mol:
+ §30
+
+ substance, procedure defined amount of a poliomyelitis d-antigen – D-antigen unit – [D'ag'U]:
+ §45
+
+ substance, procedure defined amount of a protein – protein nitrogen unit – [PNU]:
+ §45
+
+ substance, procedure defined amount of an antigen – Limit of flocculation – [Lf]:
+ §45
+
+ sum of erythema diameters, amount of an allergen callibrated through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm – bioequivalent allergen unit – [BAU]:
+ §45
+
+ temperature – degree Celsius – Cel:
+ §30
+
+ temperature – degree Fahrenheit – [degF]:
+ §43
+
+ temperature – degree Rankine – [degR]:
+ §43
+
+ temperature – degree Réaumur – [degRe]:
+ §43
+
+ temperature – kelvin – K:
+ §28
+
+ tension, magnetic – Gilbert – Gb:
+ §33
+
+ testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through in-vivo – bioequivalent allergen unit – [BAU]:
+ §45
+
+ testing using the Stallergenes® method., amount of an allergen callibrated through in-vivo – index of reactivity – [IR]:
+ §45
+
+ textile thread), linear mass density (of – Denier – [den]:
+ §43
+
+ textile thread), linear mass density (of – tex – tex:
+ §43
+
+ thread), linear mass density (of textile – Denier – [den]:
+ §43
+
+ thread), linear mass density (of textile – tex – tex:
+ §43
+
+ through in-vivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated – bioequivalent allergen unit – [BAU]:
+ §45
+
+ through in-vivo testing using the Stallergenes® method., amount of an allergen callibrated – index of reactivity – [IR]:
+ §45
+
+ time – day – d:
+ §31
+
+ time – hour – h:
+ §31
+
+ time – mean Gregorian month – mo_g:
+ §31
+
+ time – mean Gregorian year – a_g:
+ §31
+
+ time – mean Julian month – mo_j:
+ §31
+
+ time – mean Julian year – a_j:
+ §31
+
+ time – minute – min:
+ §31
+
+ time – month – mo:
+ §31
+
+ time – second – s:
+ §28
+
+ time – synodal month – mo_s:
+ §31
+
+ time – tropical year – a_t:
+ §31
+
+ time – week – wk:
+ §31
+
+ time – year – a:
+ §31
+
+ transmission rate, signal – baud – Bd:
+ §48
+
+ tuberculin, biologic activity of – tuberculin unit – [tb'U]:
+ §45
+
+ unit, Ehrlich – Ehrlich unit – [EU]:
+ §45
+
+ unit, arbitrary ELISA – ELISA unit – [ELU]:
+ §45
+
+ using some reference standard, procedure defined amount of an allergen – allergen unit – [AU]:
+ §45
+
+ using the Stallergenes® method., amount of an allergen callibrated through in-vivo testing – index of reactivity – [IR]:
+ §45
+
+ velocity – knot – [kn_br]:
+ §36
+
+ velocity – knot – [kn_i]:
+ §34
+
+ velocity – velocity of light – [c]:
+ §32
+
+ ventricular stroke work – gram-force meter per heartbeat – gf.m/{H.B.}:
+ §50
+
+ ventricular stroke work, proportional to – gram meter per heartbeat – g.m/{H.B.}:
+ §50
+
+ view area in microscope – high power field – [HPF]:
+ §45
+
+ view area in microscope – low power field – [LPF]:
+ §45
+
+ viscosity, dynamic – Poise – P:
+ §33
+
+ viscosity, kinematic – Stokes – St:
+ §33
+
+ volume – board foot – [bf_i]:
+ §34
+
+ volume – bushel – [bu_br]:
+ §38
+
+ volume – cord – [cr_i]:
+ §34
+
+ volume – cubic foot – [cft_i]:
+ §34
+
+ volume – cubic inch – [cin_i]:
+ §34
+
+ volume – cubic yard – [cyd_i]:
+ §34
+
+ volume – cup – [cup_us]:
+ §37
+
+ volume – drop – [drp]:
+ §44
+
+ volume – fluid dram – [fdr_br]:
+ §38
+
+ volume – fluid ounce – [foz_br]:
+ §38
+
+ volume – gallon – [gal_br]:
+ §38
+
+ volume – gill – [gil_br]:
+ §38
+
+ volume – liter – L:
+ §31
+
+ volume – liter – l:
+ §31
+
+ volume – metric cup – [cup_m]:
+ §37
+
+ volume – metric tablespoon – [tbs_m]:
+ §37
+
+ volume – metric teaspoon – [tsp_m]:
+ §37
+
+ volume – minim – [min_br]:
+ §38
+
+ volume – peck – [pk_br]:
+ §38
+
+ volume – pint – [pt_br]:
+ §38
+
+ volume – quart – [qt_br]:
+ §38
+
+ volume – stere – st:
+ §47
+
+ volume – tablespoon – [tbs_us]:
+ §37
+
+ volume – teaspoon – [tsp_us]:
+ §37
+
+ volume, dry – bushel – [bu_us]:
+ §37
+
+ volume, dry – dry pint – [dpt_us]:
+ §37
+
+ volume, dry – dry quart – [dqt_us]:
+ §37
+
+ volume, dry – historical winchester gallon – [gal_wi]:
+ §37
+
+ volume, dry – peck – [pk_us]:
+ §37
+
+ volume, fluid – Queen Anne's wine gallon – [gal_us]:
+ §37
+
+ volume, fluid – barrel – [bbl_us]:
+ §37
+
+ volume, fluid – cord – [crd_us]:
+ §37
+
+ volume, fluid – fluid dram – [fdr_us]:
+ §37
+
+ volume, fluid – fluid ounce – [foz_us]:
+ §37
+
+ volume, fluid – gill – [gil_us]:
+ §37
+
+ volume, fluid – metric fluid ounce – [foz_m]:
+ §37
+
+ volume, fluid – minim – [min_us]:
+ §37
+
+ volume, fluid – pint – [pt_us]:
+ §37
+
+ volume, fluid – quart – [qt_us]:
+ §37
+
+ water, depth of – fathom – [fth_i]:
+ §34
+
+ work, proportional to ventricular stroke – gram meter per heartbeat – g.m/{H.B.}:
+ §50
+
+ work, ventricular stroke – gram-force meter per heartbeat – gf.m/{H.B.}:
+ §50
+
+ x-ray attenuation – Hounsfield unit – [hnsf'U]:
+ §44
+
+
+
+
+
+
+
+ Example Unit Terms
+
+
+ The following table lists example unit terms that are commonly used in
+ medicine. Since the space of possible unit terms is infinite in theory
+ and very large in practice, no attempt has been made on a systematic
+ coverage of possible units. All necessary units can be built from the
+ rules of
+ The Unified Code for Units of Measure
+ and there is no need of a particular term to be
+ enumerated in order to be valid.
+
+
+
+ The source of this table is the HL7 V2.4 table of units in chapter 7
+ with many corrections and some modifications.
+
+
+ The columns are: (1) the case sensitive unit term and variants; (2) a
+ plain text reading; (3) example use; (4) canonical form. The canonical
+ form, consisting of 3 columns: (4.1) the magnitude value of the unit term in
+ terms of the canonical unit; (4.2) a canonical unit term; (4.3) if
+ applicable a special conversion function code.
+
+
+
+ When a special conversion function is specified, the conversion takes
+ more than multiplication with a factor. Implementers should consult
+ the UCUM specification or the reference implementation for details on
+ how to apply these conversion functions.
+
+
+
+ The example unit terms are given with alternatives for the following
+ reason. The source of the example terms is the HL7 version 2.4
+ specification of chapter 7. To show the essential differences between
+ UCUM and the HL7 version 2.4 codes, the first column shows unit terms
+ that are as similar to the HL7 2.4 published terms as
+ possible. However, the HL7 version 2.4 suggested unit terms were
+ sometimes unnecessarily complicated (e.g., the unit 1 dyn cast as 10
+ μN; decimal factors instead of the standard multiplier prefixes,
+ nested parenthetical terms in divisions, etc.), even sometimes
+ suggesting deprecated conventional habits (e.g., using annotations
+ like "/g{HGB}" instead of just "/g".) Hence, the second column
+ "alternative suggestions" lists equivalent unit terms that are either
+ more straightforward or more appropriate or both.
+
+
+
+
Example Unit Terms by Term
+
+
+
+
+
+
+
+
+
+
unit term
+
suggested alternatives
+
name or "reading"
+
example use
+
canonical form value
+
canonical form unit
+
c.f. func
+
+
+
+
+
/[arb'U]
+
+
per arbitrary unit
+
+
1
+
1
+
+
+
+
/[HPF]
+
+
per high power field
+
+
1
+
1
+
+
+
+
/[iU]
+
+
per international unit
+
+
1
+
1
+
+
+
+
/{tot}
+
+
per total count
+
+
1
+
1
+
+
+
+
/g{creat}
+
/g
+
per gram of creatinine
+
+
1
+
g-1
+
+
+
+
/g{HGB}
+
/g
+
per gram of hemoglobin
+
+
1
+
g-1
+
+
+
+
/g{tot'nit}
+
/g
+
per gram of total nitrogen
+
+
1
+
g-1
+
+
+
+
/g{tot'ptot}
+
/g
+
per gram of total protein
+
+
1
+
g-1
+
+
+
+
/g{wet'tis}
+
/g
+
per gram of wet tissue
+
+
1
+
g-1
+
+
+
+
/kg
+
+
per kilogram
+
+
0.001
+
g-1
+
+
+
+
/kg{body'wt}
+
/kg
+
per kilogram body weight
+
+
.001
+
g-1
+
+
+
+
/L
+
+
per liter
+
+
1000
+
m-3
+
+
+
+
/m3
+
+
per square meter
+
+
1
+
m-3
+
+
+
+
/min
+
+
per minute
+
+
0.0166666666666667
+
s-1
+
+
+
+
/mL
+
+
per milliliter
+
+
1000000
+
m-3
+
+
+
+
/mL
+
+
per milliliter
+
+
1000000
+
m-3
+
+
+
+
[iU]/d
+
+
international unit per day
+
+
+ 1.15740740740741 × 10
+ -5
+
+
s-1
+
+
+
+
[iU]/h
+
+
international unit per hour
+
+
0.000277777777777778
+
s-1
+
+
+
+
[iU]/kg
+
+
international unit per kilogram
+
+
0.001
+
g-1
+
+
+
+
[iU]/L
+
+
international unit per liter
+
+
1000
+
m-3
+
+
+
+
[iU]/min
+
+
international unit per minute
+
+
0.0166666666666667
+
s-1
+
+
+
+
[iU]/mL
+
+
international unit per milliliter
+
+
1000000
+
m-3
+
+
+
+
10*12/L
+
/pL
+
trillion per liter
+
+
+ 10
+ 15
+
+
m-3
+
+
+
+
10*3.{RBC}
+
10*3
+
thousand red blood cells
+
+
1000
+
1
+
+
+
+
10*3/L
+
/mL
+
thousand per liter
+
+
1000000
+
m-3
+
+
+
+
10*3/mL
+
/uL
+
thousand per milliliter
+
+
1000000000
+
m-3
+
+
+
+
10*3/mm3
+
/nL
+
thousand cubic millimeter
+
white blood cell count
+
1000000000000
+
m-3
+
+
+
+
10*6/L
+
/uL
+
million per liter
+
+
1000000000
+
m-3
+
+
+
+
10*6/mL
+
/nL
+
million per milliliter
+
+
1000000000000
+
m-3
+
+
+
+
10*6/mm3
+
/pL
+
million per cubic millimeter
+
+
+ 10
+ 15
+
+
m-3
+
+
+
+
10*9/L
+
/nL
+
billion per liter
+
+
1000000000000
+
m-3
+
+
+
+
10*9/mL
+
/pL
+
billion per milliliter
+
+
+ 10
+ 15
+
+
m-3
+
+
+
+
10*9/mm3
+
/fL
+
billion per cubic millimeter
+
+
+ 10
+ 18
+
+
m-3
+
+
+
+
10.L/(min.m2)
+
daL/min/m2
+
ten liter per minute and square meter (dekaliter per minute and square meter)
+
+
0.000166666666666667
+
m.s-1
+
+
+
+
10.L/min
+
daL/min
+
ten liter per minute (dekaliter per minute)
+
+
0.000166666666666667
+
m3.s-1
+
+
+
+
10.uN.s/(cm5.m2)
+
dyn.s/(cm5.m2) dyn.s/cm5/m2
+
dyne second per centimeter5 and square meter
+
systemic vascular resistance/body surface area
+
100000000
+
m-6.g.s-1
+
+
+
+
10.uN.s/cm5
+
dyn.s/cm5
+
dyne second per centimeter5
+
systemic vascular resistance
+
100000000
+
m-4.g.s-1
+
+
+
+
A/m
+
+
ampere per meter
+
+
1
+
m-1.s-1.C
+
+
+
+
cm
+
+
centimeter
+
+
0.01
+
m
+
+
+
+
cm[H2O]
+
+
centimeter H2O
+
+
98066.5
+
m-1.g.s-2
+
+
+
+
cm[H2O].s/L
+
cm[H2O]/(L/s)
+
centimeter H20 per ( liter per second ) (centimeter H20 second per liter)
+
mean pulmonary resistance
+
98066500
+
m-4.g.s-1
+
+
+
+
cm[H2O]/(s.m)
+
cm[H2O]/s/m
+
centimeter H20 per second and meter
+
pulmonary pressure time product
+
98066.5
+
m-2.g.s-3
+
+
+
+
cm2/s
+
+
square centimeter per second
+
+
0.0001
+
m2.s-1
+
+
+
+
dm2/s2
+
+
square dekameter per square second
+
+
0.01
+
m2.s-2
+
+
+
+
fg
+
+
femtogram
+
+
10-15
+
g
+
+
+
+
fL
+
+
femtoliter
+
+
10-18
+
m3
+
+
+
+
fmol
+
+
femtomole
+
+
602213670
+
1
+
+
+
+
g.m
+
+
gram meter
+
+
1
+
m.g
+
+
+
+
gf.m
+
+
gram-force meter
+
+
9.80665
+
m2.s-2.g
+
+
+
+
gf.m/({hb}.m2)
+
gf.m/{hb}/m2 gf/m
+
gram-force meter per heartbeat and square meter
+
+
9.80665
+
s-2.g
+
+
+
+
gf.m/{hb}
+
gf.m
+
gram-force meter per heartbeat
+
ventricular stroke work
+
9.80665
+
m2.s-2.g
+
+
+
+
g/(8.h)
+
+
gram per 8-hour shift
+
+
+ 3.47222222222222 × 10
+ -5
+
+
g.s-1
+
+
+
+
g/(8.kg.h)
+
g/kg/(8.h) 125/h
+
gram per kilogram and 8-hour shift
+
mass dose rate per body mass
+
+ 3.47222222222222 × 10
+ -8
+
+
s-1
+
+
+
+
g/(kg.d)
+
g/kg/d
+
gram per kilogram and day
+
mass dose rate per body mass
+
+ 1.15740740740741 × 10
+ -8
+
+
s-1
+
+
+
g/(kg.h)
+
g/kg/h 10*-3/h
+
gram per kilogram and hour
+
mass dose rate per body mass
+
+ 2.77777777777778 × 10
+ -7
+
+
s-1
+
+
+
+
g/(kg.min)
+
g/kg/min 10*-3/min
+
gram per kilogram and minute
+
mass dose rate per body mass
+
+ 1.66666666666667 × 10
+ -5
+
+
s-1
+
+
+
+
g/d
+
+
gram per day
+
+
+ 1.15740740740741 × 10
+ -5
+
+
g.s-1
+
+
+
+
g/dL
+
+
gram per deciliter
+
+
10000
+
m-3.g
+
+
+
+
g/h
+
+
gram per hour
+
+
0.000277777777777778
+
g.s-1
+
+
+
+
g/kg
+
1/1000
+
gram per kilogram
+
mass dose per body mass
+
0.001
+
1
+
+
+
+
g/L
+
+
gram per liter
+
+
1000
+
m-3.g
+
+
+
+
g/m2
+
+
gram per square meter
+
mass does per body surface area
+
1
+
m-2.g
+
+
+
+
g/min
+
+
gram per minute
+
+
0.0166666666666667
+
g.s-1
+
+
+
+
hL
+
+
hectoliter
+
+
0.1
+
m3
+
+
+
+
J/L
+
+
joule per liter
+
work of breathing
+
1000000
+
m-1.g.s-2
+
+
+
+
K/W
+
+
kelvin per watt
+
+
0.001
+
m-2.g-1.s3.K
+
+
+
+
kat/kg
+
+
katal per kilogram
+
+
+ 6.02214076 × 10
+ 20
+
+
g-1.s-1
+
+
+
+
kat/L
+
+
katal per liter
+
+
+ 6.02214076 × 10
+ 26
+
+
m-3.s-1
+
+
+
+
kcal
+
+
kilocalorie
+
+
4184000
+
m2.g.s-2
+
+
+
+
kcal/(8.h)
+
+
kilocalorie per 8-hour shift
+
+
145.277777777778
+
m2.g.s-3
+
+
+
+
kcal/d
+
+
kilocalorie per day
+
+
48.4259259259259
+
m2.g.s-3
+
+
+
+
kcal/h
+
+
kilocalorie per hour
+
+
1162.22222222222
+
m2.g.s-3
+
+
+
+
kg
+
+
kilogram
+
+
1000
+
g
+
+
+
+
kg.m/s
+
+
kilogram meter per second
+
+
1000
+
m.g.s-1
+
+
+
+
kg/(s.m2)
+
+
kilogram per second and square meter
+
+
1000
+
m-2.g.s-1
+
+
+
+
kg/h
+
+
kilogram per hour
+
+
0.277777777777778
+
g.s-1
+
+
+
+
kg/L
+
+
kilogram per liter
+
+
1000000
+
m-3.g
+
+
+
+
kg/m2
+
+
kilogram per square meter
+
+
1000
+
m-2.g
+
+
+
+
kg/m3
+
+
kilogram per cubic meter
+
+
1000
+
m-3.g
+
+
+
+
kg/min
+
+
kilogram per minute
+
+
16.6666666666667
+
g.s-1
+
+
+
+
kg/mol
+
+
kilogram per mole
+
+
+
+ 1.66054018667494 × 10
+ -21
+
+
g
+
+
+
+
kg/s
+
+
kilogram per second
+
+
1000
+
g.s-1
+
+
+
+
kPa
+
+
kilopascal
+
+
1000000
+
m-1.g.s-2
+
+
+
+
ks
+
+
kilosecond
+
+
1000
+
s
+
+
+
+
L.s2/s
+
L.s
+
liter square second per second
+
+
0.001
+
m3.s
+
+
+
+
L/(8.h)
+
+
liter per 8-hour shift
+
+
+ 3.47222222222222 × 10
+ -8
+
+
m3.s-1
+
+
+
+
L/(min.m2)
+
+
liter per minute and square meter
+
cardiac index (cardiac output per body surface area)
+
+ 1.66666666666667 × 10
+ -5
+
+
m.s-1
+
+
+
+
L/d
+
+
liter per day
+
+
+ 1.15740740740741 × 10
+ -8
+
+
m3.s-1
+
+
+
+
L/h
+
+
liter per hour
+
+
+ 2.77777777777778 × 10
+ -7
+
+
m3.s-1
+
+
+
+
L/kg
+
+
liter per kilogram
+
+
10-6
+
m3.g-1
+
+
+
+
L/min
+
+
liter per minute
+
+
+ 1.66666666666667 × 10
+ -5
+
+
m3.s-1
+
+
+
+
L/s
+
+
liter per second
+
peak expiratory flow
+
0.001
+
m3.s-1
+
+
+
+
lm/m2
+
+
lumen per square meter
+
+
1
+
m-2.rad2.cd
+
+
+
+
m/s
+
+
meter per second
+
+
1
+
m.s-1
+
+
+
+
m/s2
+
+
meter per square second
+
+
1
+
m.s-2
+
+
+
+
m[iU]/mL
+
+
milli-international unit per milliliter
+
+
1000
+
m-3
+
+
+
+
m2
+
+
square meter
+
body surface area
+
1
+
m2
+
+
+
+
m2/s
+
+
square meter per second
+
+
1
+
m2.s-1
+
+
+
+
m3/s
+
+
cubic meter per second
+
+
1
+
m3.s-1
+
+
+
+
mbar
+
+
millibar
+
+
100000
+
m-1.g.s-2
+
+
+
+
mbar.s/L
+
mbar/(L.s)
+
millibar per (liter per second) = millibar second per liter
+
expiratory resistance
+
100000000
+
m-4.g.s-1
+
+
+
+
meq
+
+
milliequivalent
+
+
+ 6.02214076 × 10
+ 20
+
+
1
+
+
+
+
meq/(8.h)
+
+
milliequivalent per 8-hour shift
+
+
+ 2.0910196875 × 10
+ 16
+
+
s-1
+
+
+
+
meq/(8.h.kg)
+
meq/kg/(8.h)
+
milliequivalent per kilogram and 8-hour shift
+
dose rate per patient body mass
+
20910196875000
+
g-1.s-1
+
+
+
+
meq/(kg.d)
+
meq/kg/d
+
milliequivalent per kilogram per day
+
dose rate per patient body mass
+
6970065625000
+
g-1.s-1
+
+
+
+
meq/(kg.h)
+
meq/kg/h
+
milliequivalent per kilogram per hour
+
dose rate per patient body mass
+
167281575000000
+
g-1.s-1
+
+
+
+
meq/(kg.min)
+
meq/kg/min
+
milliequivalent per kilogram and minute
+
dose rate per patient body mass
+
+ 1.00368945 × 10
+ 16
+
+
g-1.s-1
+
+
+
+
meq/d
+
+
milliequivalent per day
+
+
+ 6.970065625 × 10
+ 15
+
+
s-1
+
+
+
+
meq/h
+
+
milliequivalent per hour
+
+
+ 1.67281575 × 10
+ 17
+
+
s-1
+
+
+
+
meq/kg
+
+
milliequivalent per kilogram
+
dose per patient body mass
+
+ 6.02214076 × 10
+ 17
+
+
g-1
+
+
+
+
meq/L
+
+
milliequivalent per liter
+
+
+ 6.02214076 × 10
+ 23
+
+
m-3
+
+
+
+
meq/m2
+
+
milliequivalent per square meter
+
dose per patient body surface area
+
+ 6.02214076 × 10
+ 20
+
+
m-2
+
+
+
+
meq/min
+
+
milliequivalent per minute
+
+
+ 1.00368945 × 10
+ 19
+
+
s-1
+
+
+
+
mg
+
+
milligram
+
+
0.001
+
g
+
+
+
+
mg/(8.h)
+
+
milligram per 8-hour shift
+
+
+ 3.47222222222222 × 10
+ -8
+
+
g.s-1
+
+
+
+
mg/(8.h.kg)
+
mg/kg/(8.h) 10*-6/(8.h)
+
milligram per kilogram and 8-hour shift
+
mass dose rate per patient body mass
+
+ 3.47222222222222 × 10
+ -11
+
+
s-1
+
+
+
+
mg/(kg.d)
+
mg/kg/d 10*-6/d
+
milligram per kilogram and day
+
mass dose rate per patient body mass
+
+ 1.15740740740741 × 10
+ -11
+
+
s-1
+
+
+
+
mg/(kg.h)
+
mg/kg/h 10*-6/h
+
milligram per kilogram and hour
+
mass dose rate per patient body mass
+
+ 2.77777777777778 × 10
+ -10
+
+
s-1
+
+
+
+
mg/(kg.min)
+
mg/kg/min 10*-6/min
+
milligram per kilogram and minute
+
mass dose rate per patient body mass
+
+ 1.66666666666667 × 10
+ -8
+
+
s-1
+
+
+
+
mg/d
+
+
milligram per day
+
+
+ 1.15740740740741 × 10
+ -8
+
+
g.s-1
+
+
+
+
mg/dL
+
+
milligram per deciliter
+
+
10
+
m-3.g
+
+
+
+
mg/h
+
+
milligram per hour
+
+
+ 2.77777777777778 × 10
+ -7
+
+
g.s-1
+
+
+
+
mg/kg
+
10*-6
+
milligram per kilogram
+
+
10-6
+
1
+
+
+
+
mg/L
+
+
milligram per liter
+
+
1
+
m-3.g
+
+
+
+
mg/m2
+
+
milligram per square meter
+
mass dose per patient body surface area
+
0.001
+
m-2.g
+
+
+
+
mg/m3
+
+
milligram per cubic meter
+
+
0.001
+
m-3.g
+
+
+
+
mg/min
+
+
milligram per minute
+
+
+ 1.66666666666667 × 10
+ -5
+
+
g.s-1
+
+
+
+
mL
+
+
milliliter
+
+
10-6
+
m3
+
+
+
+
mL/({h'b}.m2)
+
mL/m2
+
milliliter per heartbeat per square meter
+
ventricular stroke volume index
+
10-6
+
m
+
+
+
+
mL/(8.h)
+
+
milliliter per 8-hour shift
+
+
+ 3.47222222222222 × 10
+ -11
+
+
m3.s-1
+
+
+
+
mL/(8.h.kg)
+
mL/kg/(8.h)
+
milliliter per kilogram and 8-hour shift
+
renal excretion volume rate per body mass
+
+ 3.47222222222222 × 10
+ -14
+
+
m3.g-1.s-1
+
+
+
+
mL/(kg.d)
+
mL/kg/d
+
milliliter per kilogram and day
+
renal excretion volume rate per body mass
+
+ 1.15740740740741 × 10
+ -14
+
+
m3.g-1.s-1
+
+
+
+
mL/(kg.h)
+
mL/kg/h
+
milliliter per kilogram and hour
+
renal excretion volume rate per body mass
+
+ 2.77777777777778 × 10
+ -13
+
+
m3.g-1.s-1
+
+
+
+
mL/(kg.min)
+
mL/kg/min
+
milliliter per kilogram and minute
+
respiratory volume rate per body mass
+
+ 1.66666666666667 × 10
+ -11
+
+
m3.g-1.s-1
+
+
+
+
mL/(min.m2)
+
mL/m2/min
+
milliliter per minute and square meter
+
volume per body surface area; oxygen consumption index
+ Regenstrief Institute, Inc. and the Unified Codes for Units of Measures (UCUM) Organization are hereunder collectively referred to as "The Organization".
+
+
+ Permission is hereby granted in perpetuity, without payment of license fees or royalties, to use, copy, or distribute the UCUM codes, UCUM Specification, and UCUM table (in all formats in which it is distributed by The Organization and the UCUM Organization) (collectively, the "Licensed Materials") for any commercial or non-commercial purpose, subject to the following terms and conditions:
+