EN ISO 80000-3:2020

Quantities and units - Part 3: Space and time (ISO 80000-3:2019)

This document gives names, symbols, definitions and units for quantities of space and time. Where appropriate, conversion factors are also given.

Größen und Einheiten - Teil 3: Raum und Zeit (ISO 80000-3:2019)

Dieses Dokument legt Benennungen, Formelzeichen, Definitionen und Einheiten für Größen des Raumes und der Zeit fest. Wo benötigt, sind auch Umrechnungsfaktoren aufgeführt.

Grandeurs et unités - Partie 3: Espace et temps (ISO 80000-3:2019)

Le présent document donne les noms, les symboles, les définitions et les unités des grandeurs d'espace et de temps. Des facteurs de conversion sont également indiqués, s'il y a lieu.

Veličine in enote - 3. del: Prostor in čas (ISO 80000-3:2019)

General Information

• Status: Published
• Publication Date: 30-Jan-2021
• Withdrawal Date: 29-Apr-2021
• ICS: 01.060 - Quantities and units
• Technical Committee: CEN/SS F02 - Units and symbols
• Drafting Committee: CEN/SS F02 - Units and symbols
• Current Stage: 6060 - Definitive text made available (DAV) - Publishing
• Start Date: 28-Oct-2020
• Completion Date: 28-Oct-2020
• Ref Project: SIST EN ISO 80000-3:2020 - Quantities and units - Part 3: Space and time (ISO 80000-3:2019)

Relations

• Replaces: EN ISO 80000-3:2013 - Quantities and units - Part 3: Space and time (ISO 80000-3:2006)
• Effective Date: 04-Nov-2020

Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 80000-3:2020
01-december-2020
Nadomešča:
SIST EN ISO 80000-3:2013
SIST ISO 80000-3:2012
Veličine in enote - 3. del: Prostor in čas (ISO 80000-3:2019)
Quantities and units - Part 3: Space and time (ISO 80000-3:2019)
Größen und Einheiten - Teil 3: Raum und Zeit (ISO 80000-3:2019)
Grandeurs et unités - Partie 3: Espace et temps (ISO 80000-3:2019)
Ta slovenski standard je istoveten z: EN ISO 80000-3:2020
ICS:
01.060 Veličine in enote Quantities and units
07.030 Fizika. Kemija Physics. Chemistry
SIST EN ISO 80000-3:2020 en,fr,de

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

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SIST EN ISO 80000-3:2020
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SIST EN ISO 80000-3:2020
EN ISO 80000-3
EUROPEAN STANDARD
NORME EUROPÉENNE
October 2020
EUROPÄISCHE NORM
ICS 01.060 Supersedes EN ISO 80000-3:2013
English Version
Quantities and units - Part 3: Space and time (ISO 80000-
3:2019)

Grandeurs et unités - Partie 3: Espace et temps (ISO Größen und Einheiten - Teil 3: Raum und Zeit (ISO

80000-3:2019) 80000-3:2019)
This European Standard was approved by CEN on 21 October 2020.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this

European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references

concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN

member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by

translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management

Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,

Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,

Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and

United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels

© 2020 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-3:2020 E

worldwide for CEN national Members.
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SIST EN ISO 80000-3:2020
EN ISO 80000-3:2020 (E)
Contents Page

European foreword ....................................................................................................................................................... 3

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SIST EN ISO 80000-3:2020
EN ISO 80000-3:2020 (E)
European foreword

The text of ISO 80000-3:2019 has been prepared by Technical Committee ISO/TC 12 "Quantities and

units” of the International Organization for Standardization (ISO) and has been taken over as

EN ISO 80000-3:2020 by Technical Committee CEN/SS F02 “Units and symbols” the secretariat of which

is held by CCMC.

This European Standard shall be given the status of a national standard, either by publication of an

identical text or by endorsement, at the latest by April 2021, and conflicting national standards shall be

withdrawn at the latest by April 2021.

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

patent rights. CEN shall not be held responsible for identifying any or all such patent rights.

This document supersedes EN ISO 80000-3:2013.

According to the CEN-CENELEC Internal Regulations, the national standards organizations of the

following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,

Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,

Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of

North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the

United Kingdom.
Endorsement notice

The text of ISO 80000-3:2019 has been approved by CEN as EN ISO 80000-3:2020 without any

modification.
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SIST EN ISO 80000-3:2020
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SIST EN ISO 80000-3:2020
INTERNATIONAL ISO
STANDARD 80000-3
Second edition
2019-10
Quantities and units —
Part 3:
Space and time
Grandeurs et unités —
Partie 3: Espace et temps
Reference number
ISO 80000-3:2019(E)
ISO 2019
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SIST EN ISO 80000-3:2020
ISO 80000-3:2019(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2019

All rights reserved. Unless otherwise specified, or required in the context of its implementation, 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
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: [phone]
Fax: [phone]
Email: [e-mail]
Website: www.iso.org
Published in Switzerland
ii © ISO 2019 – All rights reserved
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SIST EN ISO 80000-3:2020
ISO 80000-3:2019(E)
Contents Page

Foreword ........................................................................................................................................................................................................................................iv

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

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

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

Bibliography .............................................................................................................................................................................................................................10

Index ................................................................................................................................................................................................................................................11

© ISO 2019 – All rights reserved iii
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SIST EN ISO 80000-3:2020
ISO 80000-3:2019(E)
Foreword

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 carried out

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

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

organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.

ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of

electrotechnical standardization.

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

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

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

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

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

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

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

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

constitute an endorsement.

For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and

expressions related to conformity assessment, as well as information about ISO's adherence to the

World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see www .iso .org/

iso/ foreword .html.

This document was prepared by Technical Committee ISO/TC 12, Quantities and units, in collaboration

with Technical Committee IEC/TC 25, Quantities and units.

This second edition cancels and replaces the first edition (ISO 80000-3:2006), which has been

technically revised.
The main changes compared to the previous edition are as follows:
— the table giving the quantities and units has been simplified;
— some definitions and the remarks have been stated physically more precisely.

A list of all parts in the ISO 80000 and IEC 80000 series can be found on the ISO and IEC websites.

Any feedback or questions on this document should be directed to the user’s national standards body. A

complete listing of these bodies can be found at www .iso .org/ members .html.
iv © ISO 2019 – All rights reserved
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SIST EN ISO 80000-3:2020
INTERNATIONAL STANDARD ISO 80000-3:2019(E)
Quantities and units —
Part 3:
Space and time
1 Scope

This document gives names, symbols, definitions and units for quantities of space and time. Where

appropriate, conversion factors are also given.
2 Normative references
There are no normative references in this document.
3 Terms and definitions

Names, symbols, definitions and units for quantities of space and time are given in Table 1.

ISO and IEC maintain terminological databases for use in standardization at the following addresses:

— ISO Online browsing platform: available at https:// www .iso .org/ obp
— IEC Electropedia: available at http:// www .electropedia .org/
© ISO 2019 – All rights reserved 1
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SIST EN ISO 80000-3:2020
ISO 80000-3:2019(E)
2 © ISO 2019 – All rights reserved
Table 1 — Quantities and units of space and time
Item No. Quantity Unit Remarks
Name Symbol Definition

3-1.1 length l, L linear extent in space between any two points m Length does not need to be measured along a

straight line.
Length is one of the seven base quantities in the Inter-
national System of Units (ISO 80000-1).

3-1.2 width, b, B minimum length of a straight line segment m This quantity is non-negative.

between two parallel straight lines (in two
breadth
dimensions) or planes (in three dimensions)
that enclose a given geometrical shape

3-1.3 height, h, H minimum length of a straight line segment m This quantity is usually signed. The sign expresses

between a point and a reference line or refer- the position of the particular point with respect to the

depth,
ence surface reference line or surface and is chosen by convention.
altitude
The symbol H is often used to denote altitude, i.e.
height above sea level.
3-1.4 thickness d, δ width (item 3-1.2) m This quantity is non-negative.

3-1.5 diameter d, D width (item 3-1.2) of a circle, cylinder or sphere m This quantity is non-negative.

3-1.6 radius r, R half of a diameter (item 3-1.5) m This quantity is non-negative.

3-1.7 path length, s length of a rectifiable curve between two of m The differential path length at a given point of a

its points curve is:
arc length
222
ddsx= + ddyz+
() () ()
where x, y, and z denote the Cartesian coordinates
(ISO 80000-2) of the particular point.
There are curves which are not rectifiable, for exam-
ple fractal curves.

3-1.8 distance d, r shortest path length (item 3-1.7) between two m A metric space might be curved. An example of a

points in a metric space curved metric space is the surface of the Earth.
In this case, distances are measured along great
circles.
A metric is not necessarily Euclidean.
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SIST EN ISO 80000-3:2020
ISO 80000-3:2019(E)
© ISO 2019 – All right
...

SLOVENSKI STANDARD
oSIST prEN ISO 80000-3:2017
01-oktober-2017
9HOLþLQHLQHQRWHGHO3URVWRULQþDV,62',6
Quantities and units - Part 3: Space and time (ISO/DIS 80000-3:2017)
Größen und Einheiten - Teil 3: Raum und Zeit (ISO/DIS 80000-3:2017)
Grandeurs et unités - Partie 3: Espace et temps (ISO/DIS 80000-3:2017)
Ta slovenski standard je istoveten z: prEN ISO 80000-3
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
07.030 Fizika. Kemija Physics. Chemistry
oSIST prEN ISO 80000-3:2017 en,fr,de

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

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oSIST prEN ISO 80000-3:2017
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oSIST prEN ISO 80000-3:2017
DRAFT INTERNATIONAL STANDARD
ISO/DIS 80000-3
ISO/TC 12 Secretariat: SIS
Voting begins on: Voting terminates on:
2017-07-14 2017-10-05
Quantities and units —
Part 3:
Space and time
Grandeurs et unités —
Partie 3: Espace et temps
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 80000-3:2017(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 80000-3:2017
ISO/DIS 80000-3:2017(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
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. [phone]
Fax [phone]
[e-mail]
www.iso.org
ii © ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
ISO/DIS 80000-3:2017(E)
Contents Page

Foreword ......................................................................................................................................................................... iv

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

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

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

© ISO 2017 – All rights reserved
iii
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oSIST prEN ISO 80000-3:2017
ISO/DIS 80000-3:2017(E)
Foreword

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 carried out

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

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

organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO

collaborates closely with the International Electrotechnical Commission (IEC) on all matters of

electrotechnical standardization.

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

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

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

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

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

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

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

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

constitute an endorsement.

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

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

principles in the Technical Barriers to Trade (TBT) see the following URL:
www.iso.org/iso/foreword.html.

The committee responsible for this document is ISO/TC 12, Quantities, units, symbols.

This second edition cancels and replaces the first edition (ISO 80000-3:2006).

ISO 80000 consists of the following parts, under the general title Quantities and units:

 Part 1: General
 Part 2: Mathematics
 Part 3: Space and time
 Part 4: Mechanics
 Part 5: Thermodynamics
 Part 7: Light and Radiation
 Part 8: Acoustics
 Part 9: Physical chemistry and molecular physics
 Part 10: Atomic and nuclear physics
 Part 11: Characteristic numbers
 Part 12: Condensed matter physics

IEC 80000 consists of the following parts, under the general title Quantities and units:

© ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
ISO/DIS 80000-3:2017(E)
 Part 6: Electromagnetism
 Part 13: Information science and technology
© ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
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oSIST prEN ISO 80000-3:2017
DRAFT INTERNATIONAL STANDARD ISO/DIS 80000-3:2017(E)
Quantities and units — Part 3: Space and time
1 Scope

ISO 80000-3 gives names, symbols, definitions, and units for quantities of space and time.

2 Normative references

The following documents, in whole or in part, are normatively referenced in this document and are

indispensable for its application. For dated references, only the edition cited applies. For undated

references, the latest edition of the referenced document (including any amendments) applies.

ISO 80000-2, Quantities and units — Part 2: Mathematics
3 Terms and definitions
For the purposes of this document, the following terms and definitions apply.

The names, symbols, definitions, and units for quantities of space and time are given on the following

pages.
© ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
DRAFT INTERNATIONAL STANDARD ISO/DIS 80000-3:2017(E)
Quantity Unit
Item No. Remarks
Name Symbol Definition Symbol

3-1.1 length l, L linear extent in space between any two m Length need not necessarily be measured along a

points straight line.
Length is one of the seven base quantities in the
International System of Quantities, ISQ,
(ISO 80000-1).

3-1.2 width, b, B minimum length of a straight line segment m This quantity is non-negative.

breadth between two parallel straight lines (in two
The geometrical shape need not necessarily be a
dimensions) or planes (in three
material body, but can also be empty space.
dimensions) that enclose a given
geometrical shape

3-1.3 height, h, H minimum length of a straight line segment m This quantity is usually signed. The sign expresses

depth, between a point and a reference line or the position of the particular point with respect to

altitude reference surface the reference line or surface and is chosen by
convention.
The symbol H is often used to denote altitude, i.e.
height above sea level.
3-1.4 thickness d, δ width (item 3-1.2) m This quantity is non-negative.

3-1.5 diameter d, D width (item 3-1.2) of a circle, cylinder or m This quantity is non-negative.

sphere
(3-1.7)

3-1.6 radius r, R half of a diameter (item 3-1.5) m This quantity is non-negative.

(3-1.5)
© ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
ISO/DIS 80000-3:2017(E)
Quantity Unit
Item No. Remarks
Name Symbol Definition Symbol

3-1.7 path length, s length of a rectifiable curve between two of m The differential path length at a given point of a

arc length its points curve is
(3-1.8)
2 2 2
d𝑠 = √(d𝑥) + (d𝑦) + (d𝑧)
where x, y, and z denote the Cartesian coordinates
(ISO 80000-2) of the particular point.
There are curves which are not rectifiable, for
example fractal curves.

3-1.8 distance d, r shortest path length (item 3-1.7) between m A metric space might be curved. An example of a

two points in a metric space curved metric space is the surface of the Earth.
(3-1.9)
In this case distances are measured along great
circles.
A metric is not necessarily Euclidean.

3-1.9 radial distance r , ρ distance (item 3-1.8), where one point is m The subscript Q denotes the point from which the

located on an axis or within a closed non radial distance is measured.
(3-1.6)
self-intersecting curve or surface
Examples of closed non self-intersecting curves are
circles or ellipses.
Examples of closed non self-intersecting surfaces
are surfaces of spheres or egg-shaped objects.

3-1.10 position vector r vector (ISO 80000-2) from the origin of a m Position vectors are so-called bounded vectors, i. e.

co-ordinate system to a point in space their magnitude and direction depends on the

(3-1.11)
particular co-ordinate system used.

3-1.11 displacement Δr vector (ISO 80000-2) between any two m Displacement vectors are so-called free vectors, i. e.

points in space their magnitude and direction does not depend on a
(3-1.12)
particular co-ordinate system.
© ISO 2017 – All rights reserved
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oSIST prEN ISO 80000-3:2017
ISO/DIS 80000-3:2017(E)
Quantity Unit
Item No. Remarks
Name
...