Quantities and units - Part 12: Condensed matter physics (ISO 80000-12:2019)

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

Größen und Einheiten - Teil 12: Physik der kondensierten Materie (ISO 80000-12:2019)

Dieses Dokument enthält Benennungen, Formelzeichen, Definitionen und Einheiten für Größen der Physik der kondensierten Materie. Wo benötigt, sind auch Umrechnungsfaktoren aufgeführt.

Grandeurs et unités - Partie 12: Physique de la matière condensée (ISO 80000-12:2019)

Le présent document donne les noms, les symboles, les définitions et les unités des grandeurs de la physique de la matière condensée. Des facteurs de conversion sont également indiqués, s'il y a lieu.

Veličine in enote - 12. del: Fizika kondenzirane snovi (ISO 80000-12:2019)

Ta dokument podaja imena, simbole, definicije in enote za veličine s področja fizike kondenzirane snovi. Kadar je primerno, so navedeni tudi pretvorniki (pretvorni dejavniki).

General Information

Status
Published
Public Enquiry End Date
03-Jan-2016
Publication Date
05-Nov-2019
Current Stage
6060 - National Implementation/Publication (Adopted Project)
Start Date
27-Aug-2019
Due Date
01-Nov-2019
Completion Date
06-Nov-2019

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SLOVENSKI STANDARD
SIST EN ISO 80000-12:2019
01-december-2019
Nadomešča:
SIST EN ISO 80000-12:2013
Veličine in enote - 12. del: Fizika kondenzirane snovi (ISO 80000-12:2019)
Quantities and units - Part 12: Condensed matter physics (ISO 80000-12:2019)

Größen und Einheiten - Teil 12: Physik der kondensierten Materie (ISO 80000-12:2019)

Grandeurs et unités - Partie 12: Physique de la matière condensée (ISO 80000-12:2019)

Ta slovenski standard je istoveten z: EN ISO 80000-12:2019
ICS:
01.060 Veličine in enote Quantities and units
07.030 Fizika. Kemija Physics. Chemistry
SIST EN ISO 80000-12:2019 en,fr,de

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

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SIST EN ISO 80000-12:2019
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SIST EN ISO 80000-12:2019
EN ISO 80000-12
EUROPEAN STANDARD
NORME EUROPÉENNE
October 2019
EUROPÄISCHE NORM
ICS 01.060 Supersedes EN ISO 80000-12:2013
English Version
Quantities and units - Part 12: Condensed matter physics
(ISO 80000-12:2019)

Grandeurs et unités - Partie 12: Physique de la matière Größen und Einheiten - Teil 12: Physik der

condensée (ISO 80000-12:2019) kondensierten Materie (ISO 80000-12:2019)
This European Standard was approved by CEN on 5 May 2019.

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

© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-12:2019 E

worldwide for CEN national Members.
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SIST EN ISO 80000-12:2019
EN ISO 80000-12:2019 (E)
Contents Page

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

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SIST EN ISO 80000-12:2019
EN ISO 80000-12:2019 (E)
European foreword

This document (EN ISO 80000-12:2019) has been prepared by Technical Committee ISO/TC 12

"Quantities and units" in collaboration with 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 2020, and conflicting national standards shall be

withdrawn at the latest by April 2020.

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 80000-12:2013.

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 80000-12:2019 has been approved by CEN as EN ISO 80000-12:2019 without any

modification.
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SIST EN ISO 80000-12:2019
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SIST EN ISO 80000-12:2019
INTERNATIONAL ISO
STANDARD 80000-12
Second edition
2019-08
Quantities and units —
Part 12:
Condensed matter physics
Grandeurs et unités —
Partie 12: Physique de la matière condensée
Reference number
ISO 80000-12:2019(E)
ISO 2019
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SIST EN ISO 80000-12:2019
ISO 80000-12:2019(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: +41 22 749 01 11
Fax: +41 22 749 09 47
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2019 – All rights reserved
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SIST EN ISO 80000-12:2019
ISO 80000-12:2019(E)
Contents Page

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

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

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

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

Annex A (normative) Symbols for planes and directions in crystals ...............................................................................12

Bibliography .............................................................................................................................................................................................................................13

Index .................................................................................................................................................................................................................................................14

© ISO 2019 – All rights reserved iii
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SIST EN ISO 80000-12:2019
ISO 80000-12:2019(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.o rg/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 80000-12:2009), 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 80000-12:2019
INTERNATIONAL STANDARD ISO 80000-12:2019(E)
Quantities and units —
Part 12:
Condensed matter physics
1 Scope

This document gives names, symbols, definitions and units for quantities of condensed matter physics.

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 used in condensed matter physics 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 80000-12:2019
ISO 80000-12:2019(E)
2 © ISO 2019 – All rights reserved
Table 1 — Quantities and units used in condensed matter physics
Item No. Quantity Unit Remarks
Name Symbol Definition

12-1.1 lattice vector R translation vector that maps the crystal lattice on itself m The non-SI unit ångström (Å) is widely used

by x-ray crystallographers and structural
chemists.

12-1.2 fundamental lattice a , a , a fundamental translation vectors for the crystal lattice m The lattice vector (item 12-1.1) can be given as

1 2 3
vectors
a, b, c R = n a + n a + n a
1 1 2 2 3 3
where n , n and n are integers.
1 2 3
12-2.1 angular reciprocal vector whose scalar products with all fundamental m
lattice vector

lattice vectors are integral multiples of 2π In crystallography, however, the quantity

is sometimes used.

12-2.2 fundamental b , b , b fundamental translation vectors for the reciprocal m

1 2 3
a · b = 2πδ
i i ij
reciprocal lattice lattice
vectors
In crystallography, however, the quantities
are also often used.

12-3 lattice plane spacing d distance (ISO 80000-3) between successive lattice m The non-SI unit ångström (Å) is widely used

planes by x-ray crystallographers and structural
chemists.

12-4 Bragg angle ϑ angle between the scattered ray and the lattice plane 1 Bragg angle ϑ is given by

° 2d sin ϑ = nλ
where d is the lattice plane spacing (item 12-
3), λ is the wavelength (ISO 80000-7) of the
radiation, and n is the order of reflexion which
is an integer.

12-5.1 short-range order r, σ fraction of nearest-neighbour atom pairs in an Ising 1 Similar definitions apply to other order-disor-

parameter ferromagnet having magnetic moments in one direc- der phenomena.
tion, minus the fraction having magnetic moments in
Other symbols are frequently used.
the opposite direction

12-5.2 long-range order R, s fraction of atoms in an Ising ferromagnet having 1 Similar definitions apply to other order-disor-

parameter magnetic moments in one direction, minus the fraction der phenomena.
having magnetic moments in the opposite direction
Other symbols are frequently used.
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SIST EN ISO 80000-12:2019
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© ISO 2019 – All rights reserved 3
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition

12-5.3 atomic scattering f quotient of radiation amplitude scattered by the atom 1 The atomic scattering factor can be ex-

factor and radiation amplitude scattered by a single electron pressed by:
f =
where E is the radiation amplitude scattered
by the atom and E is the radiation amplitude
scattered by a single electron.

12-5.4 structure factor quantity given by: 1 For the Miller indices h, k, l, see Annex A.

Fh,,kl
Fh(),,kl =+fhexpi2π xkyl+ z
[]()
∑ nn nn
n=1
where f is the atomic scattering factor (item 12-5.3)
for atom n, x , y , z are fractional coordinates of its
n n n
position, N is the total number of atoms in the unit cell
and h, k, l are the Miller indices
12-6 Burgers vector b closing vector in a sequence of vectors encircling a m
dislocation

12-7.1 particle position r, R position vector (ISO 80000-3) of a particle m Often, r is used for electrons and R is used for

vector atoms and other heavier particles.

12-7.2 equilibrium position R position vector (ISO 80000-3) of an ion or atom in m

vector equilibrium
physics>

12-7.3 displacement vector u difference between the position vector (ISO 80000-3) m The displacement vector can be expressed by:

u = R − R
physics>
where R is particle position vector (item 12-
7.1) and R is position vector of an ion or atom
in equilibrium (item 12-7.2).

12-8 Debye-Waller factor D, B factor by which the intensity of a diffraction line is 1 D is sometimes expressed as D = exp(−2W); in

reduced because of the lattice vibrations Mössbauer spectroscopy, it is also called the f

factor and denoted by f.
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SIST EN ISO 80000-12:2019
ISO 80000-12:2019(E)
4 © ISO 2019 – All rights reserved
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition

12-9.1 angular wavenum- k, (q) quotient of momentum (ISO 80000-4) and the reduced m The corresponding vector (ISO 80000-2)

ber, Planck constant (ISO 80000-1) quantity is called wave vector (ISO 80000-3),
angular repetency expressed by:
physics>
k=
where p is the momentum (ISO 80000-4) of
quasi free electrons in an electron gas, and ħ
is the reduced Planck constant (ISO 80000-1);
for phonons, its magnitude is
k=
where λ is the wavelength (ISO 80000-3) of
the lattice vibrations.
When a distinction is needed between k
and the symbol for the Boltzmann constant
(ISO 80000-1), k can be used for the latter.
When a distinction is needed, q should be
used for phonons, and k for particles such as
electrons and neutrons.
The method of cut-off must be specified.
In condensed matter physics, angular wave-
number is often called wavenumber.

12-9.2 Fermi angular k angular wavenumber (item 12-9.1) of electrons in m In condensed matter physics, angular wave-

wavenumber, states on the Fermi sphere number is often called wavenumber.
Fermi angular
repetency

12-9.3 Debye angular q cut-off angular wavenumber (item 12-9.1) in the Debye m The method of cut-off must be specified.

wavenumber, model of the vibrational spectrum of a solid
In condensed matter physics, angular wave-
Debye angular number is often called wavenumber.
repetency

12-10 Debye angular ω cut-off angular frequency (ISO 80000-3) in the Debye s The method of cut-off must be specified.

frequency model of the vibrational spectrum of a solid
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SIST EN ISO 80000-12:2019
ISO 80000-12:2019(E)
© ISO 2019 – All rights reserved 5
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition

12-11 Debye temperature in the Debye model, quantity given by: K A Debye temperature can also be defined by

fitting a Debye model result to a certain quan-
tity, for instance, the heat capacity at a certain
Θ =
temperature.
where k is the Boltzmann constant, (ISO 80000-1), ħ is
the reduced Planck constant (ISO 80000-1), and ω is
Debye angular frequency (item 12-10)

12-12 density of vibration- g quotient of the number of vibrational modes in an in- m s

dn()ω
al states finitesimal interval of angular frequency (ISO 80000-
gnω ==
3), and the product of the width of that interval and
volume (ISO 80000-3)
where n(ω) is the total number of vibrational
modes per volume with angular frequency
less than ω.
The density of states may also be normalized in
other ways instead of with respect
...

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