ISO 80000-1

ISO 80000-1:2009 is a standard describing scientific and mathematical quantities and their units. The standard, whose full name is Quantities and units Part 1: General was developed by the International Organization for Standardization (ISO), superseding ISO 31-0.^[1] It provides general information concerning quantities and units and their symbols, especially the International System of Quantities and the International System of Units, and defines these quantities and units. It is a part of a group of standards called ISO/IEC 80000.

Contents list

The standard is divided into the following chapters:

Foreword
Introduction

Scope
Normative references
Terms and definitions
Quantities
Dimensions
Units
Printing rules

Annex A (normative) – Terms in names for physical quantities
Annex B (normative) – Rounding of numbers
Annex C (normative) – Logarithmic quantities and their units
Annex D (informative) – International organizations in the field of quantities and units

Scope

ISO 80000-1 gives "general information and definitions concerning quantities, systems of quantities, units, quantity and unit symbols, and coherent unit systems, especially the International System of Quantities, ISQ, and the International System of Units, SI."

Terms and definitions

The standard includes the following definitions.

quantity: property of a phenomenon, body, or substance, where the property has a magnitude that can be expressed by means of a number and a reference
kind of quantity: aspect common to mutually comparable quantities
system of quantities: set of quantities together with a set of non-contradictory equations relating those quantities
base quantity: quantity in a conventionally chosen subset of a given system of quantities, where no quantity in the subset can be expressed in terms of the other quantities within that subset
derived quantity: quantity, in a system of quantities, defined in terms of the base quantities of that system
International System of Quantities: system of quantities based on the seven base quantities: length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity
quantity dimension: expression of the dependence of a quantity on the base quantities of a system of quantities as a product of powers of factors corresponding to the base quantities, omitting any numerical factor
quantity of dimension one: quantity for which all the exponents of the factors corresponding to the base quantities in its quantity dimension are zero
unit of measurement: real scalar quantity, defined and adopted by convention, with which any other quantity of the same kind can be compared to express the ratio of the second quantity to the first one as a number
base unit: measurement unit that is adopted by convention for a base quantity
derived unit: measurement unit for a derived quantity
coherent derived unit: derived unit that, for a given system of quantities and for a chosen set of base units, is a product of powers of base units with no other proportionality factor than one
system of units: set of base units and derived units, together with their multiples and submultiples, defined in accordance with given rules, for a given system of quantities
coherent system of units: system of units, based on a given system of quantities, in which the measurement unit for each derived quantity is a coherent derived unit
off-system measurement unit: measurement unit that does not belong to a given system of units
International System of Units: system of units, based on the International System of Quantities, their names and symbols, including a series of prefixes and their names and symbols, together with rules for their use, adopted by the General Conference on Weights and Measures (CGPM)
multiple of a unit: measurement unit obtained by multiplying a given measurement unit by an integer greater than one
sub-multiple of a unit: measurement unit obtained by dividing a given measurement unit by an integer greater than one
quantity value: number and reference together expressing magnitude of a quantity
numerical quantity value: number in the expression of a quantity value, other than any number serving as the reference
quantity calculus: set of mathematical rules and operations applied to quantities other than ordinal quantities
quantity equation: mathematical relation between quantities in a given system of quantities, independent of measurement units
unit equation: mathematical relation between base units, coherent derived units or other measurement units
conversion factor between units: ratio of two measurement units for quantities of the same kind
numerical value equation: mathematical relation between numerical quantity values, based on a given quantity equation and specified measurement units
ordinal quantity: quantity, defined by a conventional measurement procedure, for which a total ordering relation can be established, according to magnitude, with other quantities of the same kind, but for which no algebraic operations among those quantities exist
quantity-value scale: ordered set of quantity values of quantities of a given kind of quantity used in ranking, according to magnitude, quantities of that kind
ordinal quantity-value scale: quantity-value scale for ordinal quantities
conventional reference scale: quantity-value scale defined by formal agreement
nominal property: property of a phenomenon, body, or substance, where the property has no magnitude

Quantities

International System of Quantities (ISQ)

The special choice of base quantities and quantity equations, including multipliers, given in ISO 80000 and IEC 80000 defines the International System of Quantities, denoted “ISQ” in all languages. Derived quantities can be defined in terms of the base units by quantity equations. There are seven base quantities in the ISQ: length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity.

Units

Section 6.5 of the standard describes the International System of Units including SI prefixes.

Annex A (normative) – Terms in names for physical quantities

Main article: Level (logarithmic quantity)

According to Annex A, "[t]he logarithm of the ratio of a quantity, Q, and a reference value of that quantity, Q₀, is called a level". For example L_P = ln(P/P₀) is the level of a power quantity P.

Annex C (normative) – Logarithmic quantities and their units

Main article: Field, power, and root-power quantities

Annex C introduces the concepts of power quantities and root-power quantities, and deprecates field quantity.

References

↑ "ISO 80000-1:2009". International Organization for Standardization. Retrieved 20 July 2013.

ISO standards by standard number

List of ISO standards / ISO romanizations / IEC standards

1–9999	1 2 3 4 5 6 7 9 16 31 -0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 128 216 217 226 228 233 259 269 302 306 428 518 519 639 -1 -2 -3 -5 -6 646 690 732 764 843 898 965 1000 1004 1007 1073-1 1413 1538 1745 1989 2014 2015 2022 2047 2108 2145 2146 2240 2281 2709 2711 2788 2852 3029 3103 3166 -1 -2 -3 3297 3307 3602 3864 3901 3977 4031 4157 4217 4909 5218 5428 5775 5776 5800 5964 6166 6344 6346 6385 6425 6429 6438 6523 6709 7001 7002 7098 7185 7200 7498 7736 7810 7811 7812 7813 7816 8000 8178 8217 8571 8583 8601 8632 8652 8691 8807 8820-5 8859 -1 -2 -3 -4 -5 -6 -7 -8 -8-I -9 -10 -11 -12 -13 -14 -15 -16 8879 9000/9001 9075 9126 9293 9241 9362 9407 9506 9529 9564 9594 9660 9897 9945 9984 9985 9995

10000–19999	10006 10116 10118-3 10160 10161 10165 10179 10206 10218 10303 -11 -21 -22 -28 -238 10383 10487 10585 10589 10646 10664 10746 10861 10957 10962 10967 11073 11170 11179 11404 11544 11783 11784 11785 11801 11898 11940 (-2) 11941 11941 (TR) 11992 12006 12182 12207 12234-2 13211 -1 -2 13216 13250 13399 13406-2 13407 13450 13485 13490 13567 13568 13584 13616 14000 14031 14224 14289 14396 14443 14496 -2 -3 -6 -10 -11 -12 -14 -17 -20 14644 -1 -2 -3 -4 -5 -6 -7 -8 -9 14649 14651 14698 -2 14750 14764 14882 14971 15022 15189 15288 15291 15292 15398 15408 15444 -3 15445 15438 15504 15511 15686 15693 15706 -2 15707 15897 15919 15924 15926 15926 WIP 15930 16023 16262 16612-2 16750 16949 (TS) 17024 17025 17203 17369 17799 18000 18004 18014 18245 18629 18916 19005 19011 19092 (-1 -2) 19114 19115 19125 19136 19439 19500 19501 19502 19503 19505 19506 19507 19508 19509 19510 19600 19752 19757 19770 19775-1 19794-5 19831

20000+	20000 20022 20121 21000 21047 21500 21827:2002 22000 23270 23271 23360 24517 24613 24617 24707 25178 25964 26000 26300 26324 27000 series 27000 27001:2005 27001:2013 27002 27003 27004 27005 27006 27007 27729 27799 28000 29110 29148 29199-2 29500 30170 31000 32000 38500 40500 42010 80000 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14

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