Gunther Schadow Regenstrief Institute and Indiana University School of Informatics 
Clement J. McDonald National Library of Medicine, Lister Hill 
Version: 1.8.2
Revision: $Revision: 34693 $
Copyright © 19982009, Regenstrief Institute, Inc. and the UCUM Organization. All rigthts reserved.
CHANGE NOTE
The major change of this release is the establishment of a class of "arbitrary units" which are no longer simply dimensionless. This is to protect the misassumption as if one could convert measurement values expressed in some arbitrary units into other arbitrary or dimensionless units.
1 
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 29551983, ANSI X3.501986, 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 10001981, 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 widespread 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 intersystems communication of units. However, ISO 2599 and ANSI X3.50 currently have severe defects:
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 centiday and
“PEV
” means petavolt and picoelectronvolt.)
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.
2 
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.
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 7bit USASCII 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 nondigit 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 7bit USASCII 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.
§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 prefixless 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 nonmetric.[1–3: ISO 1000, 3; ISO 29551983, 3.7; ANSI X3.501986, 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 KingArmstrong 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
kiloa_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 “halfway” 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 
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 29551983, 3.3f; ANSI X3.501986, 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
nondigit 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 29551983, 3.5f; ANSI X3.501986, 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 lefttoright evaluation can be
overridden with parentheses. ^{ ■2} Parenthesized terms are not considered unit atoms
and hence must not be preceded by a prefix. ^{ ■3} 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.

Figure 1: Pushdownstate automaton describing the syntax.
2.3 
The Predicate “Metric” 
§11 metric and nonmetric 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 nonmetric 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 nonmetric
Not all units from ISO 1000 are metric as degree, minute and second of plane angle are nonmetric 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 differencescale units like the degree Celsius have no multiplication operation, so that the prefix value could be multiplied with the unit. Instead the prefix at nonratio 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 
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 pseudounits. 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 multiword unit symbol.
^{ ■2}
Since units are mathematically defined symbols and not abbreviations
of words, multiword unit symbols should be defined only to reflect
existing habits, not in order to create new ones.
^{ ■3}
Multiword 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 
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' = 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 = { b_{1}, b_{2}, ..., b_{n} }, on which any other unit u ∈ U is defined as u = r_{1}b_{1}^{u1} · r_{2}b_{2}^{u2} · ... · r_{n}b_{n}^{un}, 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.
3.1 
Special Units on nonratio 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 nonmetric 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}(αx') does the reverse. ^{ ■5} Multiplication of a special unit s = (u, f_{s}, f_{s}^{1}, α) with a scalar β is defined as βs = (u, f_{s}, f_{s}^{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 differencescale units like the degree Celsius have no multiplication operation, so that the prefix value could be multiplied with the unit. Instead the prefix at nonratio 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}(αr_{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 <specialunit> ::= <functionsymbol>“(
”<floatingpointnumber>“
”<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 
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 
Tables of Terminal Symbols 
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 petavolt and picoelectronvolt.
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.
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 krypton86 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.
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.
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 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 picoampère.
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.
§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.
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 19671968) 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 15371612 and Pope Gregory XIII 15451563) 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 WorkDay (vs. Holiday) is more important than the
imprecision over 128 years.
[Sources: “Calendar” Britannica Online.http://www.eb.com:180/cgibin/g?DocF=macro/5000/98/toc.html
.
Claus Tondering, Frequently asked questions about
calendars.
Part 1. 1998. http://www.pip.dknet.dk/~ct/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.
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} = 6.0221367 × 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 CentimeterGramSecond (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.
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 
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. “perchecarrée” nl. “vierkanteroede” 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 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”
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 “milliinch” ) 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
]
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}Table 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.
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 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 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].
§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, AngloSaxon weights & measures, URL:
http://members.aol.com/JackProot/met/spvolas.html
].
§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.
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.
There are three systems of typesetter's lengths in use today: FrançcoisAmbroise Didot (17301804), 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 AngloAmerican 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 
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 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.
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 nonambiguity is important one should use the joule to report amounts of heat, just like for any other energy and work kindofquantities.
The gramcalorie, 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 gramcalorie 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 kilogramcalorie (“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 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 “tan100(1 deg)
” 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.
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 nonmetric the inch of mercury or water columns is nonmetric 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 1 mm. In the U.S. the charrière is simply called “french”
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.
The Hounsfield unit is a unit of Xray 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.
It should be 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.
§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 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.
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, andbecause The Unified Code for Units of Measure identifies the mole with
the Avogadro numbercan 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 grampercent (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 semiquantitative 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 U100 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 SIcoherent 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 sideconditions, 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. 533554]
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. 7879. 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 virusspecific 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 invivo callibrated test using the Intradermal Dilution for 50mm sum of Erythema Diameters (ID50EAL) Method. In this meathod. [Source: Turkeltaub PC. Biological Standardization based on Quantitative Skin Testing  The 1D50 EAL Method. Arbeiten aus dem PaulEhrlichInstitut, dem GeorgSpeyerHaus und dem FerdinandBlumInstitut, 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 “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 invitro comparison of a test short ragweed extract to a FDA CBER Amb a 1 reference standard. Amb a 1 is the uptodate 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 105 mg of nitrogen determined to be in the material precipitated from 1 ml of allergenic extract by phosphotungstic acid (microKjeldahl 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 antigenantibody 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 Lfunits for Diphtheria and
Tetanus Toxoids. Biologicals (1990) 18, 1117. 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,
523534.http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2427455
and
personal communication with FDA CBER representatives.]
§46 levels
^{ ■1}
Pseudounits 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.
These units are “pseudounits” because of their standardized definition as being logarithms of a ratio of two measurements with the same kindofquantity: 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 rth 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 belunits 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.
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 hornshaped grain of a locusttree
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/caratdef.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.
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) = 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.
§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  c/s  c/i  value  

kibi  Ki  Ki 
KIB 
1024 
mebi  Mi  Mi 
MIB 
1048576 
gibi  Gi  Gi 
GIB 
1073741824 
tebi  Ti  Ti 
TIB 
1099511627776 
A 
Examples for some NonUnits. 
§50 Nonunits ^{ ■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}Table 24 gives some example for those nonunits but is not normative.
Although customarily cardiac stroke work is notated as "g.m" this is not a true unit of work. Instead one should use gramforce meter.
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 nonmetric 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. 151162.]
C 
Alphabetic Index 
C.1 
Alphabetic Index By Name 
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% 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 Ampère – electric current – A: §30 Becquerel – radioactivity – Bq: §30 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 Coulomb – electric charge – C: §28 Curie – radioactivity – Ci: §33 Dantigen unit – procedure defined amount of an antigen substance – [D'ag'U]: §45 Didot's pica – length – [cicero]: §42 Didot's point – length – [didot]: §42 Dye unit – biologic activity of amylase – [dye'U]: §45 Engineer's chain – length – [rch_us]: §35 Fahrenheit, degree – temperature – [degF]: §43 Farad – electric capacitance – F: §30 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 Gray – energy dose – Gy: §30 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 Henry – inductance – H: §30 Hertz – frequency – Hz: §30 Hounsfield unit – xray attenuation – [hnsf'U]: §44 Joule – energy – J: §30 Julian month, mean – time – mo_j: §31 Julian year, mean – time – a_j: §31 Kayser – lineic number – Ky: §33 Kelvin – temperature – K: §28 KingArmstrong 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 Newton – force – N: §30 Newtonian constant of gravitation – (unclassified) – [G]: §32 Oersted – magnetic field intensity – Oe: §33 Ohm – electric resistance – Ohm: §30 Pascal – pressure – Pa: §30 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 Roentgen – ion dose – R: §33 Siemens – electric conductance – S: §30 Sievert – dose equivalent – Sv: §30 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 Tesla – magnetic flux density – T: §30 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 Volt – electric potential – V: §30 Watt – power – W: §30 Weber – magentic flux – Wb: §30 Wood unit – fluid resistance – [wood'U]: §44 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 invivo 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 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 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 invivo 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 series, homeopathic potency of – homeopathic potency – [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 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 day – time – d: §31 deci – prefix – d: §27 decimal series, homeopathic potency of – homeopathic potency – [hp_X]: §44 degree Celsius – temperature – Cel: §30 degree Fahrenheit – temperature – [degF]: §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% 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 equivalent man, radiation – dose equivalent – REM: §33 equivalent, metabolic – metabolic cost of physical activity – [MET]: §44 equivalents – amount of substance – eq: §45 erg – energy – erg: §33 exa – prefix – E: §27 fall, standard acceleration of free – acceleration – [g]: §32 fathom – depth of water – [fth_i]: §34 fathom – length – [fth_br]: §36 fathom – length – [fth_us]: §35 femto – prefix – f: §27 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 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 gramforce meter per heartbeat – ventricular stroke work – gf.m/{H.B.}: §50 gramforce – force – gf: §32 gravitation, Newtonian constant of – (unclassified) – [G]: §32 hand – height of horses – [hd_i]: §34 heartbeat, gram meter per – proportional to ventricular stroke work – g.m/{H.B.}: §50 heartbeat, gramforce meter per – ventricular stroke work – gf.m/{H.B.}: §50 hecto – prefix – h: §27 high power field – view area in microscope – [HPF]: §45 historical winchester gallon – dry volume – [gal_wi]: §37 homeopathic potency of centesimal series – homeopathic potency – [hp_C]: §44 homeopathic potency of decimal series – homeopathic potency – [hp_X]: §44 homeopathic potency of millesimal series – homeopathic potency – [hp_M]: §44 homeopathic potency of quintamillesimal series – homeopathic potency – [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 infectious dose, 50% cell culture – biologic activity (infectivity) of an infectious agent preparation – [CCID_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 katal – catalytic activity – kat: §45 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 label Calories, nutrition – energy – [Cal]: §43 light, velocity of – velocity – [c]: §32 lightyear – 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, gramforce – ventricular stroke work – gf.m/{H.B.}: §50 meter – length – m: §28 metric carat – mass – [car_m]: §47 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_us]: §35 mile, nautical – length – [nmi_br]: §36 mile, nautical – length – [nmi_i]: §34 mile, square – area – [smi_us]: §35 mile, statute – length – [mi_i]: §34 millesimal series, homeopathic potency of – homeopathic potency – [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 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 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 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 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, gramforce meter – ventricular stroke work – gf.m/{H.B.}: §50 per million, parts – fraction – [ppm]: §29 per sqare inch, pound – pressure – [psi]: §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 series, homeopathic – homeopathic potency – [hp_C]: §44 potency of decimal series, homeopathic – homeopathic potency – [hp_X]: §44 potency of millesimal series, homeopathic – homeopathic potency – [hp_M]: §44 potency of quintamillesimal series, homeopathic – homeopathic potency – [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 series, homeopathic potency of – homeopathic potency – [hp_Q]: §44 radian – plane angle – rad: §28 radiation absorbed dose – energy dose – RAD: §33 radiation equivalent man – dose equivalent – REM: §33 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 scruple – mass – [sc_ap]: §41 second – plane angle – '': §31 second – time – s: §28 section – area – [sct]: §35 series, homeopathic potency of centesimal – homeopathic potency – [hp_C]: §44 series, homeopathic potency of decimal – homeopathic potency – [hp_X]: §44 series, homeopathic potency of millesimal – homeopathic potency – [hp_M]: §44 series, homeopathic potency of quintamillesimal – homeopathic potency – [hp_Q]: §44 short hundredweight – mass – [scwt_av]: §39 short ton – mass – [ston_av]: §39 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 yard – area – [syd_i]: §34 standard acceleration of free fall – acceleration – [g]: §32 standard atmosphere – pressure – atm: §32 statute mile – length – [mi_i]: §34 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 tablets – number – {tbl}: §50 teaspoon – volume – [tsp_us]: §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 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, Dantigen – procedure defined amount of an antigen substance – [D'ag'U]: §45 unit, Dye – biologic activity of amylase – [dye'U]: §45 unit, GPL – biologic activity of anticardiolipin IgG – [GPL'U]: §45 unit, Hounsfield – xray attenuation – [hnsf'U]: §44 unit, KingArmstrong – 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, arbitary – arbitrary – [arb'U]: §45 unit, astronomic – length – AU: §31 unit, bioequivalent allergen – amount of an allergen callibrated through invivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – [BAU]: §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, 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, bel – power level – B[W]: §46 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 
C.2 
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 – Tesla – magnetic flux density: §30 T – tera – prefix : §27 Ti – tebi – prefix : §49 U – Unit – catalytic activity: §45 V – Volt – electric potential: §30 W – Watt – power: §30 Wb – Weber – magentic 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 invivo 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] – Dantigen unit – procedure defined amount of an antigen substance: §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 [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 [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_us] – cup – volume: §37 [cyd_i] – cubic yard – volume: §34 [degF] – degree Fahrenheit – temperature: §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_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 – xray attenuation: §44 [hp_C] – homeopathic potency of centesimal series – homeopathic potency: §44 [hp_M] – homeopathic potency of millesimal series – homeopathic potency: §44 [hp_Q] – homeopathic potency of quintamillesimal series – homeopathic potency: §44 [hp_X] – homeopathic potency of decimal series – homeopathic potency: §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] – KingArmstrong unit – biologic activity of phosphatase: §45 [kn_br] – knot – velocity: §36 [kn_i] – knot – velocity: §34 [knk'U] – Kunkel unit – arbitrary biologic activity: §45 [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] – lightyear – length: §32 [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] – statute 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_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_us] – tablespoon – volume: §37 [todd'U] – Todd unit – biologic activity antistreptolysin O: §45 [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 – gramforce – force: §32 gf.m/{H.B.} – gramforce 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 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 
C.3 
Alphabetic Index By Kind Of Quantity 
(dissolved particles), amount of substance – osmole – osm: §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% tissue culture infectious dose – [TCID_50]: §45 (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through invivo testing based on the ID50EAL method of – bioequivalent allergen unit – [BAU]: §45 (unclassified) – Boltzmann constant – [k]: §32 (unclassified) – Newtonian constant of gravitation – [G]: §32 50mm sum of erythema diameters, amount of an allergen callibrated through invivo testing based on the ID50EAL method of (intradermal dilution for – bioequivalent allergen unit – [BAU]: §45 ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen callibrated through invivo 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 VIII inhibitor, biologic activity of factor – Bethesda unit – [beth'U]: §45 a lens, refraction of – diopter – [diop]: §44 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% 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 phosphatase, biologic – Bodansky unit – [bdsk'U]: §45 activity of phosphatase, biologic – KingArmstrong 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% 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 invivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an – bioequivalent allergen unit – [BAU]: §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 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 invivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters – bioequivalent allergen unit – [BAU]: §45 amount of an allergen using some reference standard, procedure defined – allergen unit – [AU]: §45 amount of an antigen substance, procedure defined – Dantigen unit – [D'ag'U]: §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 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 amylase, biologic activity of – Dye unit – [dye'U]: §45 amylase, biologic activity of – Somogyi unit – [smgy'U]: §45 an allergen callibrated through invivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of – bioequivalent allergen unit – [BAU]: §45 an allergen using some reference standard, procedure defined amount of – allergen unit – [AU]: §45 an antigen substance, procedure defined amount of – Dantigen unit – [D'ag'U]: §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% 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 – Dantigen unit – [D'ag'U]: §45 antigen substance, procedure defined amount of an – Limit of flocculation – [Lf]: §45 antistreptolysin O, biologic activity – Todd unit – [todd'U]: §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, xray – 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 invivo 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% 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 phosphatase – Bodansky unit – [bdsk'U]: §45 biologic activity of phosphatase – KingArmstrong 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 callibrated through invivo testing based on the ID50EAL method of (intradermal dilution for 50mm sum of erythema diameters, amount of an allergen – bioequivalent allergen unit – [BAU]: §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 – Siemens – S: §30 conductance, electric – mho – mho: §47 cost of physical activity, metabolic – metabolic equivalent – [MET]: §44 current, electric – Ampère – A: §30 current, electric – Biot – Bi: §33 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 – Dantigen unit – [D'ag'U]: §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, 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 invivo 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 invivo testing based on the ID50EAL method of (intradermal – bioequivalent allergen unit – [BAU]: §45 dose equivalent – Sievert – Sv: §30 dose equivalent – radiation equivalent man – REM: §33 dose, energy – Gray – Gy: §30 dose, energy – radiation absorbed dose – RAD: §33 dose, ion – Roentgen – R: §33 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 – Siemens – S: §30 electric conductance – mho – mho: §47 electric current – Ampère – A: §30 electric current – Biot – Bi: §33 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 – Joule – J: §30 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 – 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 – Sievert – Sv: §30 equivalent, dose – radiation equivalent man – REM: §33 erythema diameters, amount of an allergen callibrated through invivo 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 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 – 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, magentic – Weber – Wb: §30 force – Newton – N: §30 force – dyne – dyn: §33 force – gramforce – gf: §32 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 – homeopathic potency of centesimal series – [hp_C]: §44 homeopathic potency – homeopathic potency of decimal series – [hp_X]: §44 homeopathic potency – homeopathic potency of millesimal series – [hp_M]: §44 homeopathic potency – homeopathic potency of quintamillesimal series – [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 invivo 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 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% 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, 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 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 – lightyear – [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_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 – statute mile – [mi_i]: §34 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 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 magentic flux – Weber – Wb: §30 magnetic field intensity – Oersted – Oe: §33 magnetic flux density – Gauss – G: §33 magnetic flux density – Tesla – T: §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 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 – 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 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 invivo testing based on the ID50EAL – bioequivalent allergen unit – [BAU]: §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 invivo 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 – KingArmstrong 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 potency, homeopathic – homeopathic potency of centesimal series – [hp_C]: §44 potency, homeopathic – homeopathic potency of decimal series – [hp_X]: §44 potency, homeopathic – homeopathic potency of millesimal series – [hp_M]: §44 potency, homeopathic – homeopathic potency of quintamillesimal series – [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 – Watt – W: §30 power – horsepower – [HP]: §43 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% tissue culture infectious dose – [TCID_50]: §45 pressure level – bel sound pressure – B[SPL]: §46 pressure – Pascal – Pa: §30 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 – 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 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 – Dantigen unit – [D'ag'U]: §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 – Becquerel – Bq: §30 radioactivity – Curie – Ci: §33 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 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 – gramforce 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 protein – protein nitrogen unit – [PNU]: §45 substance, procedure defined amount of an antigen – Dantigen unit – [D'ag'U]: §45 substance, procedure defined amount of an antigen – Limit of flocculation – [Lf]: §45 sum of erythema diameters, amount of an allergen callibrated through invivo testing based on the ID50EAL method of (intradermal dilution for 50mm – bioequivalent allergen unit – [BAU]: §45 temperature – Kelvin – K: §28 temperature – degree Celsius – Cel: §30 temperature – degree Fahrenheit – [degF]: §43 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 invivo – bioequivalent allergen unit – [BAU]: §45 through invivo 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 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 using some reference standard, procedure defined amount of an allergen – allergen unit – [AU]: §45 velocity – knot – [kn_br]: §36 velocity – knot – [kn_i]: §34 velocity – velocity of light – [c]: §32 ventricular stroke work – gramforce 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 – 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 – 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 – gramforce meter per heartbeat – gf.m/{H.B.}: §50 xray attenuation – Hounsfield unit – [hnsf'U]: §44 
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 is as described in Section 2.13.1.3. The canonical form itself consists 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.
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  g1  
/g{HGB}  /g  per gram of hemoglobin  1  g1  
/g{tot'nit}  /g  per gram of total nitrogen  1  g1  
/g{tot'ptot}  /g  per gram of total protein  1  g1  
/g{wet'tis}  /g  per gram of wet tissue  1  g1  
/kg  per kilogram  0.001  g1  
/kg{body'wt}  /kg  per kilogram body weight  1000  g1  
/L  per liter  1000  m3  
/m3  per square meter  1  m3  
/min  per minute  0.0166666666666667  s1  
/mL  per milliliter  1000000  m3  
/mL  per milliliter  1000000  m3  
[iU]/d  international unit per day  1.15740740740741 × 10^{5}  s1  
[iU]/h  international unit per hour  0.000277777777777778  s1  
[iU]/kg  international unit per kilogram  0.001  g1  
[iU]/L  international unit per liter  1000  m3  
[iU]/min  international unit per minute  0.0166666666666667  s1  
[iU]/mL  international unit per milliliter  1000000  m3  
10*12/L  /pL  trillion per liter  1015  m3  
10*3.{RBC}  10*3  thousand red blood cells  1000  1  
10*3/L  /mL  thousand per liter  1000000  m3  
10*3/mL  /uL  thousand per milliliter  1000000000  m3  
10*3/mm3  /nL  thousand cubic millimeter  white blood cell count  1000000000000  m3  
10*6/L  /uL  million per liter  1000000000  m3  
10*6/mL  /nL  million per milliliter  1000000000000  m3  
10*6/mm3  /pL  million per cubic millimeter  1015  m3  
10*9/L  /nL  billion per liter  1000000000000  m3  
10*9/mL  /pL  billion per milliliter  1015  m3  
10*9/mm3  /fL  billion per cubic millimeter  1018  m3  
10.L/(min.m2)  daL/min/m2  ten liter per minute and square meter (dekaliter per minute and square meter)  0.000166666666666667  m.s1  
10.L/min  daL/min  ten liter per minute (dekaliter per minute)  0.000166666666666667  m3.s1  
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  m6.g.s1  
10.uN.s/cm5  dyn.s/cm5  dyne second per centimeter5  systemic vascular resistance  100000000  m4.g.s1  
A/m  Ampere per meter  1  m1.s1.C  
cm  centimeter  0.01  m  
cm[H2O]  centimeter H2O  98066.5  m1.g.s2  
cm[H2O].s/L  cm[H2O]/(L/s)  centimeter H20 per ( liter per second ) (centimeter H20 second per liter)  mean pulmonary resistance  98066500  m4.g.s1  
cm[H2O]/(s.m)  cm[H2O]/s/m  centimeter H20 per second and meter  pulmonary pressure time product  98066.5  m2.g.s3  
cm2/s  square centimeter per second  0.0001  m2.s1  
dB  decibel  1  1  LG  
dm2/s2  square dekameter per square second  0.01  m2.s2  
fg  femtogram  1015  g  
fL  femtoliter  1018  m3  
fmol  femtomole  602213670  1  
g.m  gram meter  1  m.g  
gf.m  gramforce meter  9.80665  m2.s2.g  
gf.m/({hb}.m2)  gf.m/{hb}/m2 gf/m  gramforce meter per heartbeat and square meter  9.80665  s2.g  
gf.m/{hb}  gf.m  gramforce meter per heartbeat  ventricular stroke work  9.80665  m2.s2.g  
g/(8.h)  gram per 8hour shift  3.47222222222222 × 10^{5}  g.s1  
g/(8.kg.h)  g/kg/(8.h) 125/h  gram per kilogram and 8hour shift  mass dose rate per body mass  3.47222222222222 × 10^{8}  s1  
g/(kg.d)  g/kg/d  10*3/d  gram per kilogram and day  mass dose rate per body mass  1.15740740740741 × 10^{8}  s1 
g/(kg.h)  g/kg/h 10*3/h  gram per kilogram and hour  mass dose rate per body mass  2.77777777777778 × 10^{7}  s1  
g/(kg.min)  g/kg/min 10*3/min  gram per kilogram and minute  mass dose rate per body mass  1.66666666666667 × 10^{5}  s1  
g/d  gram per day  1.15740740740741 × 10^{5}  g.s1  
g/dL  gram per deciliter  10000  m3.g  
g/h  gram per hour  0.000277777777777778  g.s1  
g/kg  1/1000  gram per kilogram  mass dose per body mass  0.001  1  
g/L  gram per liter  1000  m3.g  
g/m2  gram per square meter  mass does per body surface area  1  m2.g  
g/min  gram per minute  0.0166666666666667  g.s1  
hL  hectoliter  0.1  m3  
J/L  joule per liter  work of breathing  1000000  m1.g.s2  
K/W  kelvin per watt  0.001  m2.g1.s3.K  
kat/kg  katal per kilogram  6.0221367 × 10^{20}  g1.s1  
kat/L  katal per liter  6.0221367 × 10^{26}  m3.s1  
kcal  kilocalorie  4184000  m2.g.s2  
kcal/(8.h)  kilocalorie per 8hour shift  145.277777777778  m2.g.s3  
kcal/d  kilocalorie per day  48.4259259259259  m2.g.s3  
kcal/h  kilocalorie per hour  1162.22222222222  m2.g.s3  
kg  kilogram  1000  g  
kg.m/s  kilogram meter per second  1000  m.g.s1  
kg/(s.m2)  kilogram per second and square meter  1000  m2.g.s1  
kg/h  kilogram per hour  0.277777777777778  g.s1  
kg/L  kilogram per liter  1000000  m3.g  
kg/m2  kilogram per square meter  1000  m2.g  
kg/m3  kilogram per cubic meter  1000  m3.g  
kg/min  kilogram per minute  16.6666666666667  g.s1  
kg/mol  kilogram per mole  1.66054018667494 × 10^{21}  g  
kg/s  kilogram per second  1000  g.s1  
kPa  kilopascal  1000000  m1.g.s2  
ks  kilosecond  1000  s  
L.s2/s  L.s  liter square second per second  0.001  m3.s  
L/(8.h)  liter per 8hour shift  3.47222222222222 × 10^{8}  m3.s1  
L/(min.m2)  liter per minute and square meter  cardiac index (cardiac output per body surface area)  1.66666666666667 × 10^{5}  m.s1  
L/d  liter per day  1.15740740740741 × 10^{8}  m3.s1  
L/h  liter per hour  2.77777777777778 × 10^{7}  m3.s1  
L/kg  liter per kilogram  106  m3.g1  
L/min  liter per minute  1.66666666666667 × 10^{5}  m3.s1  
L/s  liter per second  peak expiratory flow  0.001  m3.s1  
lm/m2  lumen per square meter  1  m2.rad2.cd  
m/s  meter per second  1  m.s1  
m/s2  meter per square second  1  m.s2  
m[iU]/mL  milliinternational unit per milliliter  1000  m3  
m2  square meter  body surface area  1  m2  
m2/s  square meter per second  1  m2.s1  
m3/s  cubic meter per second  1  m3.s1  
mbar  millibar  100000  m1.g.s2  
mbar.s/L  mbar/(L.s)  millibar per (liter per second) = millibar second per liter  expiratory resistance  100000000  m4.g.s1  
meq  milliequivalent  6.0221367 × 10^{20}  1  
meq/(8.h)  milliequivalent per 8hour shift  2.0910196875 × 10^{16}  s1  
meq/(8.h.kg)  meq/kg/(8.h)  milliequivalent per kilogram and 8hour shift  dose rate per patient body mass  20910196875000  g1.s1  
meq/(kg.d)  meq/kg/d  milliequivalent per kilogram per day  dose rate per patient body mass  6970065625000  g1.s1  
meq/(kg.h)  meq/kg/h  milliequivalent per kilogram per hour  dose rate per patient body mass  167281575000000  g1.s1  
meq/(kg.min)  meq/kg/min  milliequivalent per kilogram and minute  dose rate per patient body mass  1.00368945 × 10^{16}  g1.s1  
meq/d  milliequivalent per day  6.970065625 × 10^{15}  s1  
meq/h  milliequivalent per hour  1.67281575 × 10^{17}  s1  
meq/kg  milliequivalent per kilogram  dose per patient body mass  6.0221367 × 10^{17}  g1  
meq/L  milliequivalent per liter  6.0221367 × 10^{23}  m3  
meq/m2  milliequivalent per square meter  dose per patient body surface area  6.0221367 × 10^{20}  m2  
meq/min  milliequivalent per minute  1.00368945 × 10^{19}  s1  
mg  milligram  0.001  g  
mg/(8.h)  milligram per 8hour shift  3.47222222222222 × 10^{8}  g.s1  
mg/(8.h.kg)  mg/kg/(8.h) 10*6/(8.h)  milligram per kilogram and 8hour shift  mass dose rate per patient body mass  3.47222222222222 × 10^{11}  s1  
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}  s1  
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}  s1  
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}  s1  
mg/d  milligram per day  1.15740740740741 × 10^{8}  g.s1  
mg/dL  milligram per deciliter  10  m3.g  
mg/h  milligram per hour  2.77777777777778 × 10^{7}  g.s1  
mg/kg  10*6  milligram per kilogram  106  1  
mg/L  milligram per liter  1  m3.g  
mg/m2  milligram per square meter  mass dose per patient body surface area  0.001  m2.g  
mg/m3  milligram per cubic meter  0.001  m3.g  
mg/min  milligram per minute  1.66666666666667 × 10^{5}  g.s1  
mL  milliliter  106  m3  
mL/({h'b}.m2)  mL/m2  milliliter per heartbeat per square meter  ventricular stroke volume index  106  m  
mL/(8.h)  milliliter per 8hour shift  3.47222222222222 × 10^{11}  m3.s1  
mL/(8.h.kg)  mL/kg/(8.h)  milliliter per kilogram and 8hour shift  renal excretion volume rate per body mass  3.47222222222222 × 10^{14}  m3.g1.s1  
mL/(kg.d)  mL/kg/d  milliliter per kilogram and day  renal excretion volume rate per body mass  1.15740740740741 × 10^{14}  m3.g1.s1  
mL/(kg.h)  mL/kg/h  milliliter per kilogram and hour  renal excretion volume rate per body mass  2.77777777777778 × 10^{13}  m3.g1.s1  
mL/(kg.min)  mL/kg/min  milliliter per kilogram and minute  respiratory volume rate per body mass  1.66666666666667 × 10^{11}  m3.g1.s1  
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.s1  
mL/{h'b}  milliliter per heartbeat  stroke volume  106  m3  
mL/cm[H2O]  milliliter per centimeters H20  dynamic lung compliance  1.01971621297793 × 10^{11}  m4.g1.s2  
mL/d  milliliter per day  1.15740740740741 × 10^{11}  m3.s1  
mL/h  milliliter per hour  2.77777777777778 × 10^{10}  m3.s1  
mL/kg  milliliter per kilogram  tidal volume per body mass  109  m3.g1  
mL/m2  milliliter per square meter  volume per patient body surface area  106  m  
mL/mbar  milliliter per millibar  dynamic lung compliance  1011  m4.g1.s2  
mL/min  milliliter per minute  1.66666666666667 × 10^{8}  m3.s1  
mL/s  milliliter per second  106  m3.s1  
mm  millimeter  0.001  m  
mm/h  millimeter hour  2.77777777777778 × 10^{7}  m.s1  
mm[Hg]  millimeter Mercury column  133322  m1.g.s2  
mmol/(8.h)  millimole per 8hour shift  2.0910196875 × 10^{16}  s1  
mmol/(8.h.kg)  mmol/kg/(8.h)  millimole per kilogram and 8hour shift  molar dose rate per patient body mass  20910196875000  g1.s1  
mmol/(kg.d)  mmol/kg/d  millimole per kilogram and day  molar dose rate per patient body mass  6970065625000  g1.s1  
mmol/(kg.h)  mmol/kg/h  millimole per kilogram and hour  molar dose rate per patient body mass  167281575000000  g1.s1  
mmol/(kg.min)  mmol/kg/min  millimole per kilogram and minute  molar dose rate per patient body mass  1.00368945 × 10^{16}  g1.s1  
mmol/h  millimole per hour  1.67281575 × 10^{17}  s1  
mmol/kg  millimole per kilogram  molar dose per patient body mass  6.0221367 × 10^{17}  g1  
mmol/L  millimole per liter  6.0221367 × 10^{23}  m3  
mmol/m2  millimole per square meter  molar dose per patient body surface area  6.0221367 × 10^{20}  m2  
mmol/min  millimole per minute  1.00368945 × 10^{19}  s1  
mol/(kg.s)  mol/kg/s  mole per kilogram and second  6.0221367 × 10^{20}  g1.s1  
mol/kg  mole per Kilogram  6.0221367 × 10^{20}  g1  
mol/L  mole per liter  6.0221367 × 10^{26}  m3  
mol/m3  mole per cubic meter  6.0221367 × 10^{23}  m3  
mol/s  mole per second  6.0221367 × 10^{23}  s1  
mosm/L  milliosmole per liter  6.0221367 × 10^{23}  m3  
Ms  megasecond  1000000  s  
ms  millisecond  0.001  s  
mV  millivolt  1  m2.g.s2.C1  
N.s  newton second  1000  m.g.s1  
ng  nanogram  109  g  
ng/(8.h)  nanogram per 8hour shift  3.47222222222222 × 10^{14}  g.s1  
ng/(8.h.kg)  ng/kg/(8.h)  nanogram per kilogram and 8hour shift  mass dose rate per patient body mass  3.47222222222222 × 10^{17}  s1  
ng/(kg.d)  ng/kg/d  nanogram per kilogram and day  mass dose rate per patient body mass  1.15740740740741 × 10^{17}  s1  
ng/(kg.h)  ng/kg/h  nanogram per kilogram and hour  mass dose rate per patient body mass  2.77777777777778 × 10^{16}  s1  
ng/(kg.min)  ng/kg/min  nanogram per kilogram and minute  mass dose rate per patient body mass  1.66666666666667 × 10^{14}  s1  
ng/d  nanogram per day  1.15740740740741 × 10^{14}  g.s1  
ng/h  nanogram per hour  2.77777777777778 × 10^{13}  g.s1  
ng/kg  nanogram per kilogram  mass dose per patient body mass  1012  1  
ng/L  nanogram per liter  106  m3.g  
ng/m2  nanogram per square meter  mass dose per patient body surface area  109  m2.g  
ng/min  nanogram per minute  1.66666666666667 × 10^{11}  g.s1  
ng/mL  nanogram per milliliter  0.001  m3.g  
ng/s  nanogram per second  109  g.s1  
nkat  nanokatal  602213670000000  s1  
nm  nanometer  109  m  
nmol/s  nanomole per second  602213670000000  s1  
ns  nanosecond  109  s  
Ohm.m  ohm meter  1000  m3.g.s1.C2  
osm/kg  osmole per kilogram  6.0221367 × 10^{20}  g1  
osm/L  osmole per liter  6.0221367 × 10^{26}  m3  
pA  picoampere  1012  s1.C  
pg  picogram  1012  g  
pg/L  picogram per liter  109  m3.g  
pg/mL  picogram per milliliter  106  m3.g  
pkat  picokatal  602213670000  s1  
pm  picometer  1012  m  
pmol  picomole  602213670000  1  
ps  picosecond  1012  s  
pT  picotesla  109  g.s1.C1  
u[iU]  micro international unit  106  1  
ueq  microequivalents  6.0221367 × 10^{17}  1  
ug  microgram  106  g  
ug/(8.h)  microgram per 8hour shift  3.47222222222222 × 10^{11}  g.s1  
ug/(kg.d)  ug/kg/d  microgram per kilogram and day  mass dose rate per patient body mass  1.15740740740741 × 10^{14}  s1  
ug/(kg.h)  ug/kg/h  microgram per kilogram and hour  mass dose rate per patient body mass  2.77777777777778 × 10^{13}  s1  
ug/(kg.min)  ug/kg/min  microgram per kilogram and minute  mass dose rate per patient body mass  1.66666666666667 × 10^{11}  s1  
ug/d  microgram per day  1.15740740740741 × 10^{11}  g.s1  
ug/dL  microgram per deciliter  0.01  m3.g  
ug/g  microgram per gram  106  1  
ug/h  microgram per hour  2.77777777777778 × 10^{10}  g.s1  
ug/kg  microgram per kilogram  109  1  
ug/kg/(8.h)  microgram per kilogram and 8hour shift  mass dose rate per patient body mass  3.47222222222222 × 10^{14}  s1  
ug/L  microgram per liter  0.001  m3.g  
ug/m2  microgram per square meter  mass dose per patient body surface area  106  m2.g  
ug/min  microgram per minute  1.66666666666667 × 10^{8}  g.s1  
ukat  microkatal  6.0221367 × 10^{17}  s1  
um  micrometer  106  m  
umol  micromole  6.0221367 × 10^{17}  1  
umol/d  micromole per day  6970065625000  s1  
umol/L  micromole per liter  6.0221367 × 10^{20}  m3  
umol/min  micromole per minute  1.00368945 × 10^{16}  s1  
us  microsecond  106  s  
uV  microvolt  0.001  m2.g.s2.C1 
E 
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