Quantities and units - Part 1: General (ISO/DIS 80000-1:2017)

2018-10-09: WI abandoned to follow cancellation of corresponding WI in ISO (ISO notification to dataservice on 2018-10-09).

Größen und Einheiten - Teil 1: Allgemeines (ISO/DIS 80000-1:2017)

Grandeurs et unités - Partie 1: Généralités (ISO/DIS 80000-1:2017)

Veličine in enote - 1. del: Splošno (ISO/DIS 80000-1:2017)

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Publication Date
30-Jun-2019
Withdrawal Date
30-Sep-2019
Current Stage
4098 - Decision to abandon - Enquiry
Completion Date
09-Oct-2018

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SLOVENSKI STANDARD
oSIST prEN ISO 80000-1:2017
01-junij-2017
9HOLþLQHLQHQRWHGHO6SORãQR ,62',6
Quantities and units - Part 1: General (ISO/DIS 80000-1:2017)
Größen und Einheiten - Teil 1: Allgemeines (ISO/DIS 80000-1:2017)
Grandeurs et unités - Partie 1: Généralités (ISO/DIS 80000-1:2017)
Ta slovenski standard je istoveten z: prEN ISO 80000-1
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
oSIST prEN ISO 80000-1:2017 en

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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oSIST prEN ISO 80000-1:2017
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oSIST prEN ISO 80000-1:2017
DRAFT INTERNATIONAL STANDARD
ISO/DIS 80000-1
ISO/TC 12 Secretariat: SIS
Voting begins on: Voting terminates on:
2017-04-14 2017-07-07
Quantities and units —
Part 1:
General
Grandeurs et unités —
Partie 1: Généralités
ICS: 01.060
This document is circulated as received from the committee secretariat.
THIS DOCUMENT IS A DRAFT CIRCULATED
This draft is submitted to a parallel vote in ISO and in IEC.
FOR COMMENT AND APPROVAL. IT IS
THEREFORE SUBJECT TO CHANGE AND MAY
NOT BE REFERRED TO AS AN INTERNATIONAL
STANDARD UNTIL PUBLISHED AS SUCH.
IN ADDITION TO THEIR EVALUATION AS
ISO/CEN PARALLEL PROCESSING
BEING ACCEPTABLE FOR INDUSTRIAL,
TECHNOLOGICAL, COMMERCIAL AND
USER PURPOSES, DRAFT INTERNATIONAL
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN
Reference number
NATIONAL REGULATIONS.
ISO/DIS 80000-1:2017(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
PROVIDE SUPPORTING DOCUMENTATION. ISO 2017
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oSIST prEN ISO 80000-1:2017
ISO/DIS 80000-1:2017(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2017, Published in Switzerland

All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form

or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior

written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of

the requester.
ISO copyright office
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Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
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ii © ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-1:2017
ISO/DIS 80000-1:2017(E)
Contents
Page

Foreword ........................................................................................................................................................................... v

Introduction ................................................................................................................................................................... vi

0.1 Quantities ......................................................................................................................................................... vi

0.2 Units .................................................................................................................................................................... vi

0.3 Realizing the values of units ..................................................................................................................... vii

0.4 Arrangement of the tables ......................................................................................................................... vii

1 Scope ....................................................................................................................................................................1

2 Normative references ....................................................................................................................................1

3 Terms and definitions ....................................................................................................................................1

4 Quantities ........................................................................................................................................................ 12

4.1 The concept of quantity .............................................................................................................................. 12

4.2 Kind of quantity ─ Quantity calculus ..................................................................................................... 12

4.3 System of quantities ─ Base quantities and derived quantities .................................................. 13

4.4 Universal constants and empirical constants .................................................................................... 13

4.5 Constant multipliers in quantity equations ........................................................................................ 14

4.6 International System of Quantities, ISQ ............................................................................................... 14

5 Quantity dimensions ................................................................................................................................... 14

6 Units ................................................................................................................................................................... 15

6.1 Units and numerical values ....................................................................................................................... 15

6.2 Mathematical operations ........................................................................................................................... 16

6.3 Quantity equations and numerical value equations ........................................................................ 17

6.4 Coherent systems of units.......................................................................................................................... 17

6.5 The International System of Units, SI .................................................................................................... 18

6.5.1 General ............................................................................................................................................................. 18

6.5.2 SI base units .................................................................................................................................................... 18

6.5.3 SI derived units .............................................................................................................................................. 18

6.5.4 SI prefixes ........................................................................................................................................................ 21

6.5.5 The unit one .................................................................................................................................................... 22

6.5.6 Other units ...................................................................................................................................................... 23

7 Printing rules ................................................................................................................................................. 24

7.1 Symbols for quantities ................................................................................................................................ 24

7.1.1 General ............................................................................................................................................................. 24

7.1.2 Subscripts ........................................................................................................................................................ 25

7.1.3 Combination of symbols for quantities ................................................................................................. 25

7.1.4 Expressions for quantities ......................................................................................................................... 27

7.2 Names and symbols for units ................................................................................................................... 27

7.2.1 General ............................................................................................................................................................. 27

7.2.2 Combination of symbols for units ........................................................................................................... 28

7.2.3 Prefixes ............................................................................................................................................................. 28

7.2.4 English names of compound units .......................................................................................................... 28

7.2.5 Spelling of names of quantities and of units in the English and French languages .............. 29

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7.3 Numbers .......................................................................................................................................................... 29

7.3.1 General ............................................................................................................................................................. 29

7.3.2 Decimal sign ................................................................................................................................................... 30

7.3.3 Multiplication and division ....................................................................................................................... 30

7.3.4 Error and uncertainty ................................................................................................................................. 31

7.4 Chemical elements and nuclides ............................................................................................................ 32

7.5 Greek alphabet .............................................................................................................................................. 33

Annex A (normative) Terms in names for physical quantities ................................................................. 34

A.1 General ............................................................................................................................................................. 34

A.2 Coefficients, factors ..................................................................................................................................... 34

A.3 Parameters, numbers, ratios ................................................................................................................... 35

A.4 Levels ................................................................................................................................................................ 35

A.5 Constants ......................................................................................................................................................... 36

A.6 Terms with general application .............................................................................................................. 36

Annex B (normative) Rounding of numbers .................................................................................................... 39

Annex C (normative) Logarithmic quantities and their units ................................................................... 41

C.1 General ............................................................................................................................................................. 41

C.2 Logarithmic root-power quantities ....................................................................................................... 41

C.3 Logarithmic power quantities ................................................................................................................. 42

C.4 Logarithmic information-theory quantities ....................................................................................... 42

Annex D (informative) International organizations in the field of quantities and units ................ 43

D.1 JCGM .................................................................................................................................................................. 43

D.2 CGPM ― CIPM ― BIPM ................................................................................................................................. 43

D.3 IEC ― IEC/TC 25 ............................................................................................................................................. 43

D.4 IFCC .................................................................................................................................................................... 43

D.5 ILAC ................................................................................................................................................................... 43

D.6 ISO ― ISO/TC 12 ............................................................................................................................................ 43

D.7 IUPAC ................................................................................................................................................................ 43

D.8 IUPAP ................................................................................................................................................................ 43

D.9 OIML ― CGML ― CIML ― BIML .................................................................................................................. 44

Bibliography ................................................................................................................................................................. 45

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7.3 Numbers .......................................................................................................................................................... 29

7.3.1 General ............................................................................................................................................................. 29

7.3.2 Decimal sign ................................................................................................................................................... 30

7.3.3 Multiplication and division ....................................................................................................................... 30

7.3.4 Error and uncertainty ................................................................................................................................. 31

Foreword

7.4 Chemical elements and nuclides ............................................................................................................ 32

7.5 Greek alphabet .............................................................................................................................................. 33

ISO (the International Organization for Standardization) is a worldwide federation of national

standards bodies (ISO member bodies). The work of preparing International Standards is normally

Annex A (normative) Terms in names for physical quantities ................................................................. 34

carried out through ISO technical committees. Each member body interested in a subject for which a

A.1 General ............................................................................................................................................................. 34

technical committee has been established has the right to be represented on that committee.

A.2 Coefficients, factors ..................................................................................................................................... 34

International organizations, governmental and non-governmental, in liaison with ISO, also take part in

A.3 Parameters, numbers, ratios ................................................................................................................... 35

the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all

A.4 Levels ................................................................................................................................................................ 35

matters of electrotechnical standardization.

A.5 Constants ......................................................................................................................................................... 36

A.6 Terms with general application .............................................................................................................. 36

The procedures used to develop this document and those intended for its further maintenance are

Annex B (normative) Rounding of numbers .................................................................................................... 39

described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the

different types of ISO documents should be noted. This document was drafted in accordance with the

Annex C (normative) Logarithmic quantities and their units ................................................................... 41

editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).

C.1 General ............................................................................................................................................................. 41

C.2 Logarithmic root-power quantities ....................................................................................................... 41

Attention is drawn to the possibility that some of the elements of this document may be the subject of

C.3 Logarithmic power quantities ................................................................................................................. 42

patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of

C.4 Logarithmic information-theory quantities ....................................................................................... 42

any patent rights identified during the development of the document will be in the Introduction and/or

Annex D (informative) International organizations in the field of quantities and units ................ 43

on the ISO list of patent declarations received (see www.iso.org/patents).

D.1 JCGM .................................................................................................................................................................. 43

D.2 CGPM ― CIPM ― BIPM ................................................................................................................................. 43

Any trade name used in this document is information given for the convenience of users and does not

D.3 IEC ― IEC/TC 25 ............................................................................................................................................. 43

constitute an endorsement.

D.4 IFCC .................................................................................................................................................................... 43

D.5 ILAC ................................................................................................................................................................... 43

For an explanation on the meaning of ISO specific terms and expressions related to conformity

D.6 ISO ― ISO/TC 12 ............................................................................................................................................ 43

assessment, as well as information about ISO's adherence to the World Trade Organization (WTO)

D.7 IUPAC ................................................................................................................................................................ 43

principles in the Technical Barriers to Trade (TBT) see the following URL:

D.8 IUPAP ................................................................................................................................................................ 43

www.iso.org/iso/foreword.html.

D.9 OIML ― CGML ― CIML ― BIML .................................................................................................................. 44

The committee responsible for this document is ISO/TC 12, Quantities and units in co-operation with

Bibliography ................................................................................................................................................................. 45

IEC/TC 25, Quantities and units.

This second edition cancels and replaces the first edition (ISO 80000-1:2009), which has been

technically revised.
A list of all parts of the ISO 80000 series can be found on the ISO website.
© ISO 2017 – All rights reserved © ISO 2017 – All rights reserved
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Introduction
0.1 Quantities

Systems of quantities and systems of units can be treated in many consistent, but different, ways. Which

treatment to use is only a matter of convention. The presentation given in this International Standard is

the one that is the basis for the International System of Units, the SI (from the French: Système

international d’unités), adopted by the General Conference on Weights and Measures, the CGPM (from

the French: Conférence générale des poids et mesures).

The quantities and relations among the quantities used here are those almost universally accepted for

use throughout the physical sciences. They are presented in the majority of scientific textbooks today

and are familiar to all scientists and technologists.

The quantities and the relations among them are in principle infinite in number and are continually

evolving as new fields of science and technology are developed. Thus, it is not possible to list all these

quantities and relations in this International Standard; instead, a selection of the more commonly used

quantities and the relations among them is presented.

It is inevitable that some readers working in particular specialized fields may find that the quantities

they are interested in using may not be listed in this International Standard or in another International

Standard. However, provided that they can relate their quantities to more familiar examples that are

listed, this will not prevent them from defining units for their quantities.

Most of the units used to express values of quantities of interest were developed and used long before

the concept of a system of quantities was developed. Nonetheless, the relations among the quantities,

which are simply the equations of the physical sciences, are important, because in any system of units

the relations among the units play an important role and are developed from the relations among the

corresponding quantities.

The system of quantities, including the relations among them the quantities used as the basis of the

units of the SI, is named the International System of Quantities, denoted “ISQ”, in all languages. This

name was not used in ISO 31, from which the present harmonized series has evolved. However, ISQ

[8]

does appear in ISO/IEC Guide 99:2007 and in the SI Brochure , Edition 8:2006. In both cases, this was

to ensure consistency with the new Quantities and units series that was under preparation at the time

they were published; it had already been announced that the new term would be used. It should be

realized, however, that ISQ is simply a convenient notation to assign to the essentially infinite and

continually evolving and expanding system of quantities and equations on which all of modern science

and technology rests. ISQ is a shorthand notation for the “system of quantities on which the SI is based”,

which was the phrase used for this system in ISO 31.
0.2 Units

A system of units is developed by first defining a set of base units for a small set of corresponding base

quantities and then defining derived units as products of powers of the base units corresponding to the

relations defining the derived quantities in terms of the base quantities. In this International Standard

and in the SI, there are seven base quantities and seven base units. The base quantities are length, mass,

time, electric current, thermodynamic temperature, amount of substance, and luminous intensity. The

corresponding base units are the metre, kilogram, second, ampere, kelvin, mole, and candela,

respectively. The definitions of these base units, and their practical realization, are at the heart of the SI

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and are the responsibility of the advisory committees of the International Committee for Weights and

Measures, the CIPM (from the French: Comité international des poids et mesures). The current

definitions of the base units, and advice for their practical realization, are presented in the SI

[8]
Introduction

Brochure , published by and obtainable from the International Bureau of Weights and Measures, the

BIPM (from the French: Bureau international des poids et mesures). Note that in contrast to the base

0.1 Quantities units, each of which has a specific definition, the base quantities are simply chosen by convention and

no attempt is made to define them otherwise then operationally.

Systems of quantities and systems of units can be treated in many consistent, but different, ways. Which

treatment to use is only a matter of convention. The presentation given in this International Standard is 0.3 Realizing the values of units

the one that is the basis for the International System of Units, the SI (from the French: Système

To realize the value of a unit is to use the definition of the unit to make measurements that compare the

international d’unités), adopted by the General Conference on Weights and Measures, the CGPM (from

value of some quantity of the same kind as the unit with the value of the unit. This is the essential step

the French: Conférence générale des poids et mesures).

in making measurements of the value of any quantity in science. Realizing the values of the base units is

The quantities and relations among the quantities used here are those almost universally accepted for of particular importance. Realizing the values of derived units follows in principle from realizing the

use throughout the physical sciences. They are presented in the majority of scientific textbooks today base units.

and are familiar to all scientists and technologists.

There may be many different ways for the practical realization of the value of a unit, and new methods

The quantities and the relations among them are in principle infinite in number and are continually may be developed as science advances. Any method consistent with the laws of physics could be used to

evolving as new fields of science and technology are developed. Thus, it is not possible to list all these realize any SI unit. Nonetheless, it is often helpful to review experimental methods for realizing the

quantities and relations in this International Standard; instead, a selection of the more commonly used units, and the CIPM recommends such methods, which are presented as part of the SI Brochure.

quantities and the relations among them is presented.
0.4 Arrangement of the tables

It is inevitable that some readers working in particular specialized fields may find that the quantities

In parts 3 to 14 of this International Standard, the quantities and relations among them, which are a

they are interested in using may not be listed in this International Standard or in another International

subset of the ISQ, are given on the left-hand pages, and the units of the SI (and some other units) are

Standard. However, provided that they can relate their quantities to more familiar examples that are

given on the right-hand pages. Some additional quantities and units are also given on the left-hand and

listed, this will not prevent them from defining units for their quantities.

right-hand pages, respectively. The item numbers of quantities are written pp-nn.s (pp, part number;

nn, running number in the part, respectively; s, sub-number). The item numbers of units are written

Most of the units used to express values of quantities of interest were developed and used long before

pp-nn.l (pp, part number; nn, running number in the part, respectively; l, sub-letter).

the concept of a system of quantities was developed. Nonetheless, the relations among the quantities,

which are simply the equations of the physical sciences, are important, because in any system of units

the relations among the units play an important role and are developed from the relations among the

corresponding quantities.

The system of quantities, including the relations among them the quantities used as the basis of

...

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