Quantities and units - Part 10: Atomic and nuclear physics (ISO 80000-10:2009)

ISO 80000-10:2009 gives the names, symbols, and definitions for quantities and units used in atomic and nuclear physics. Where appropriate, conversion factors are also given.

Größen und Einheiten - Teil 10: Atom- und Kernphysik (ISO 80000-10:2009)

ISO 80000 10 enthält Benennungen, Zeichen und Definitionen für Größen und Einheiten, die in der Atom- und Kernphysik verwendet werden. Wo benötigt, sind auch Umrechnungsfaktoren aufgeführt.

Grandeurs et unités - Partie 10: Physique atomique et nucléaire (ISO 80000-10:2009)

L'ISO 80000-10:2009 donne les noms, les symboles et les définitions des grandeurs et unités de physique atomique et nucléaire. Des facteurs de conversion sont également indiqués, s'il y a lieu.

Veličine in enote - 10. del: Atomska in jedrska fizika (ISO 80000-10:2009)

Standard ISO 80000-10:2009 podaja imena, simbole in definicije za veličine in enote, ki se uporabljajo v atomski in jedrski fiziki. Kjer je primerno, so navedeni tudi pretvorniki (pretvorni faktorji).

General Information

Status
Withdrawn
Publication Date
30-Apr-2013
Withdrawal Date
15-Oct-2019
Current Stage
9900 - Withdrawal (Adopted Project)
Start Date
16-Oct-2019
Due Date
08-Nov-2019
Completion Date
16-Oct-2019

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SLOVENSKI STANDARD
SIST EN ISO 80000-10:2013
01-junij-2013
1DGRPHãþD
SIST ISO 31-10:1995/Amd. 1:2001
SIST ISO 31-10+A1:2008
SIST ISO 31-9:1995/Amd. 1:2001
SIST ISO 31-9+A1:2008
9HOLþLQHLQHQRWHGHO$WRPVNDLQMHGUVNDIL]LND ,62
Quantities and units - Part 10: Atomic and nuclear physics (ISO 80000-10:2009)
Größen und Einheiten - Teil 10: Atom- und Kernphysik (ISO 80000-10:2009)
Grandeurs et unités - Partie 10: Physique atomique et nucléaire (ISO 80000-10:2009)
Ta slovenski standard je istoveten z: EN ISO 80000-10:2013
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
07.030 Fizika. Kemija Physics. Chemistry
SIST EN ISO 80000-10:2013 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 80000-10:2013

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SIST EN ISO 80000-10:2013


EUROPEAN STANDARD
EN ISO 80000-10

NORME EUROPÉENNE

EUROPÄISCHE NORM
April 2013
ICS 01.060
English Version
Quantities and units - Part 10: Atomic and nuclear physics (ISO
80000-10:2009)
Grandeurs et unités - Partie 10: Physique atomique et Größen und Einheiten - Teil 10: Atom- und Kernphysik (ISO
nucléaire (ISO 80000-10:2009) 80000-10:2009)
This European Standard was approved by CEN on 14 March 2013.

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, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United
Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2013 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-10:2013: E
worldwide for CEN national Members.

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SIST EN ISO 80000-10:2013
EN ISO 80000-10:2013 (E)
Contents Page
Foreword . 3

2

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SIST EN ISO 80000-10:2013
EN ISO 80000-10:2013 (E)
Foreword
The text of ISO 80000-10:2009 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-
10:2013.
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 October 2013, and conflicting national standards shall be withdrawn at
the latest by October 2013.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights.
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, Former Yugoslav Republic of Macedonia, France, Germany, Greece,
Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,
Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom.
Endorsement notice
The text of ISO 80000-10:2009 has been approved by CEN as EN ISO 80000-10:2013 without any
modification.

3

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SIST EN ISO 80000-10:2013

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SIST EN ISO 80000-10:2013

INTERNATIONAL ISO
STANDARD 80000-10
First edition
2009-12-01


Quantities and units —
Part 10:
Atomic and nuclear physics
Grandeurs et unités —
Partie 10: Physique atomique et nucléaire





Reference number
ISO 80000-10:2009(E)
©
ISO 2009

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
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©  ISO 2009
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
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Published in Switzerland

ii © ISO 2009 – All rights reserved

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
Contents Page
Foreword .iv
Introduction.vi
1 Scope.1
2 Normative references.1
3 Names, symbols, and definitions .1
Annex A (informative) Non-SI units used in atomic and nuclear physics .66
Bibliography.67

© ISO 2009 – All rights reserved iii

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(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 whom 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.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
Draft International Standards adopted by the technical committees are circulated to the member bodies for
voting. Publication as an International Standard requires approval by at least 75 % of the member bodies
casting a vote.
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.
International Standard ISO 80000-10 was prepared by Technical Committee ISO/TC 12, Quantities and units,
in co-operation with IEC/TC 25, Quantities and units.
This first edition of ISO 80000-10 cancels and replaces ISO 31-9:1992 and ISO 31-10:1992. It also
incorporates Amendments ISO 31-9:1992/Amd.1:1998 and ISO 31-10:1992/Amd.1:1998. The major technical
changes from the previous standards are the following:
⎯ Annex A and Annex B to ISO 31-9:1992 have been deleted (as they are covered by ISO 80000-9);
⎯ Annex C to ISO 31-9:1992 has become Annex A;
⎯ Annex D to ISO 31-9:1992 has been deleted;
⎯ the presentation of numerical statements has been changed;
⎯ the Normative references have been changed;
⎯ items 10-33 and 10-53 from ISO 31-10:1992 have been deleted;
⎯ new items have been added;
⎯ many definitions have been re-formulated;
⎯ newer values for fundamental constants have been used.
ISO 80000 consists of the following parts, under the general title Quantities and units:
⎯ Part 1: General
⎯ Part 2: Mathematical signs and symbols to be used in the natural sciences and technology
⎯ Part 3: Space and time
⎯ Part 4: Mechanics
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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
⎯ Part 5: Thermodynamics
⎯ Part 7: Light
⎯ Part 8: Acoustics
⎯ Part 9: Physical chemistry and molecular physics
⎯ Part 10: Atomic and nuclear physics
⎯ Part 11: Characteristic numbers
⎯ Part 12: Solid state physics
IEC 80000 consists of the following parts, under the general title Quantities and units:
⎯ Part 6: Electromagnetism
⎯ Part 13: Information science and technology
⎯ Part 14: Telebiometrics related to human physiology
© ISO 2009 – All rights reserved v

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
Introduction
0.1 Arrangements of the tables
The tables of quantities and units in this International Standard are arranged so that the quantities are
presented on the left-hand pages and the units on the corresponding right-hand pages.
All units between two full lines on the right-hand pages belong to the quantities between the corresponding full
lines on the left-hand pages.
Where the numbering of an item has been changed in the revision of a part of ISO 31, the number in the
preceding edition is shown in parenthesis on the left-hand page under the new number for the quantity; a dash
is used to indicate that the item in question did not appear in the preceding edition.
0.2 Tables of quantities
The names in English and in French of the most important quantities within the field of this International
Standard are given together with their symbols and, in most cases, their definitions. These names and
symbols are recommendations. The definitions are given for identification of the quantities in the International
System of Quantities (ISQ), listed on the left hand pages of the table; they are not intended to be complete.
The scalar, vector or tensor character of quantities is pointed out, especially when this is needed for the
definitions.
In most cases only one name and only one symbol for the quantity are given; where two or more names or
two or more symbols are given for one quantity and no special distinction is made, they are on an equal
footing. When two types of italic letters exist (for example as with ϑ and θ; φ and φ ; a and a; g and g), only one
of these is given. This does not mean that the other is not equally acceptable. It is recommended that such
variants not be given different meanings. A symbol within parentheses implies that it is a reserve symbol, to
be used when, in a particular context, the main symbol is in use with a different meaning.
In this English edition, the quantity names in French are printed in an italic font, and are preceded by fr. The
gender of the French name is indicated by (m) for masculine and (f) for feminine, immediately after the noun in
the French name.
0.3 Tables of units
0.3.1 General
The names of units for the corresponding quantities are given together with the international symbols and the
definitions. These unit names are language-dependent, but the symbols are international and the same in all
th
languages. For further information, see the SI Brochure (8 edition, 2006) from BIPM and ISO 80000-1.
The units are arranged in the following way:
a) The coherent SI units are given first. The SI units have been adopted by the General Conference on
Weights and Measures (Conférence Générale des Poids et Mesures, CGPM). The coherent SI units and
their decimal multiples and submultiples formed with the SI prefixes are recommended, although the
decimal multiples and submultiples are not explicitly mentioned.
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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
b) Some non-SI units are then given, namely those accepted by the International Committee for Weights
and Measures (Comité International des Poids et Mesures, CIPM), or by the International Organization of
Legal Metrology (Organisation Internationale de Métrologie Légale, OIML), or by ISO and IEC, for use
with the SI.
Such units are separated from the SI units in the item by use of a broken line between the SI units and
the other units.
c) Non-SI units currently accepted by the CIPM for use with the SI are given in small print (smaller than the
text size) in the “Conversion factors and remarks” column.
d) Non-SI units that are not recommended are given only in annexes in some parts of this International
Standard. These annexes are informative, in the first place for the conversion factors, and are not integral
parts of the standard. These deprecated units are arranged in two groups:
1) units in the CGS system with special names;
2) units based on the foot, pound, second, and some other related units.
e) Other non-SI units given for information, especially regarding the conversion factors, are given in
informative annexes in some parts of this International Standard.
0.3.2 Remark on units for quantities of dimension one, or dimensionless quantities
The coherent unit for any quantity of dimension one, also called a dimensionless quantity, is the number one,
symbol 1. When the value of such a quantity is expressed, the unit symbol 1 is generally not written out
explicitly.
EXAMPLE 1 Refractive index n = 1,53 × 1 = 1,53
Prefixes shall not be used to form multiples or submultiples of this unit. Instead of prefixes, powers of 10 are
recommended.
3
EXAMPLE 2 Reynolds number Re = 1,32 × 10
Considering that the plane angle is generally expressed as the ratio of two lengths and the solid angle as the
ratio of two areas, in 1995 the CGPM specified that, in the SI, the radian, symbol rad, and steradian, symbol sr,
are dimensionless derived units. This implies that the quantities plane angle and solid angle are considered as
derived quantities of dimension one. The units radian and steradian are thus equal to one; they may either be
omitted, or they may be used in expressions for derived units to facilitate distinction between quantities of
different kind but having the same dimension.
0.4 Numerical statements in this International Standard
The sign = is used to denote “is exactly equal to”, the sign ≈ is used to denote “is approximately equal to”, and
the sign := is used to denote “is by definition equal to”.
Numerical values of physical quantities that have been experimentally determined always have an associated
measurement uncertainty. This uncertainty should always be specified. In this International Standard, the
magnitude of the uncertainty is represented as in the following example.
EXAMPLE l = 2,347 82(32) m
In this example, l = a(b) m, the numerical value of the uncertainty b indicated in parentheses is assumed to
apply to the last (and least significant) digits of the numerical value a of the length l. This notation is used
when b represents the standard uncertainty (estimated standard deviation) in the last digits of a. The
numerical example given above may be interpreted to mean that the best estimate of the numerical value of
the length l, when l is expressed in the unit metre is 2,347 82, and that the unknown value of l is believed to
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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
lie between (2,347 82 − 0,000 32) m and (2,347 82 + 0,000 32) m with a probability determined by the
standard uncertainty 0,000 32 m and the probability distribution of the values of l.
0.5 Special remarks
0.5.1 Quantities
The fundamental physical constants given in ISO 80000-10 are quoted in the consistent values of the
fundamental physical constants published in “2006 CODATA recommended values”. See the CODATA
website: http://physics.nist.gov/cuu/constants/index.html.
0.5.2 Special units
Individual scientists should have the freedom to use non-SI units when they see a particular scientific
advantage in their work. For this reason, non-SI units which are relevant for atomic and nuclear physics are
listed in Annex A.
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SIST EN ISO 80000-10:2013
INTERNATIONAL STANDARD ISO 80000-10:2009(E)

Quantities and units —
Part 10:
Atomic and nuclear physics
1 Scope
ISO 80000-10 gives the names, symbols, and definitions for quantities and units used in atomic and nuclear
physics. Where appropriate, conversion factors are also given.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO 80000-3:2006, Quantities and units — Part 3: Space and time
ISO 80000-4:2006, Quantities and units — Part 4: Mechanics
ISO 80000-5:2007, Quantities and units — Part 5: Thermodynamics
IEC 80000-6:2008, Quantities and units — Part 6: Electromagnetism
ISO 80000-7:2008, Quantities and units — Part 7: Light
ISO 80000-9:2009, Quantities and units — Part 9: Physical chemistry and molecular physics
3 Names, symbols, and definitions
The names, symbols, and definitions for quantities and units used in atomic and nuclear physics are given on
the following pages.
© ISO 2009 – All rights reserved 1

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
ATOMIC AND NUCLEAR PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
10-1.1 atomic number, number of protons in an A nuclide is a species of atom with
Z
(9-1)
 proton number atomic nucleus specified numbers of protons and
neutrons.
fr numéro (m)
    atomique,
Nuclides with the same value of Z
  nombre (m) de
but different values of N are called
    protons
isotopes of an element.
The ordinal number of an element in
the periodic table is equal to the
atomic number.
The atomic number equals the charge
of the nucleus in units of the
elementary charge (item 10-5.1).
10-1.2 neutron number N number of neutrons in an Nuclides with the same value of N
(9-2) atomic nucleus
but different values of Z are called
fr nombre (m) de
isotones.
    neutrons
NZ− is called the neutron excess
number.
10-1.3 nucleon number, number of nucleons in an
A AZ=+N
(9-3)
 mass number atomic nucleus
Nuclides with the same value of A are
fr nombre (m) de
called isobars.
    nucléons,
  nombre (m) de
    masse
10-2 rest mass, m()X , for particle X, mass Specifically,
(9-5.1)  proper mass (ISO 80000-4:2006, item
m
for an electron:
X
(9-5.2) 4-1) of that particle at rest
−31
fr masse (f) au
 m=×9,109 382 15(45) 10 kg;
(9-5.3)
e
    repos,
for a proton:
  masse (f)
−27
    propre
 m=×1,672 621 637(83) 10 kg;
p
for a neutron:
−27
 m=×1,674 927 211(84) 10 kg
n
[2006 CODATA recommended
values].
Rest mass is often denoted m .
0
10-3 rest energy
for a particle,
E
0
(—)
2
fr énergie (f) au E =mc
000
    repos
where m is the rest mass
0
(item 10-2) of that particle,
and c is the speed of
0
light in vacuum
(ISO 80000-7:2008, item
7-4.1)


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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
UNITS ATOMIC AND NUCLEAR PHYSICS
Item No. Name Symbol Definition Conversion factors and remarks
10-1.a one 1 See the Introduction, 0.3.2.
10-2.a kilogram kg
10-2.b dalton, Da 1 dalton is equal to 1/12 times
1 Da = 1 u =
–27
unified atomic the mass of a free carbon 12
1,660 538 782(83) × 10 kg
u
 mass unit atom, at rest and in its ground
[2006 CODATA recommended
state
values].
10-3.a joule J
(continued)

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
ATOMIC AND NUCLEAR PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
10-4.1 atomic mass, rest mass
m()X , m
a
is called the relative atomic
(9-4.1)
nuclidic mass (ISO 80000-4:2006, item
m
m
u
a
4-1) of a neutral atom or a
fr masse (f)
mass.
nuclide X in the ground
    atomique,
state
  masse (f)
    nucléidique
–27
10-4.2 unified atomic 1/12 of the mass
m m = 1,660 538 782(83) × 10 kg
u u
(9-4.2)  mass constant (ISO 80000-4:2006, item
[2006 CODATA recommended
4-1) of a neutral atom of
values].
fr constante (f)
12
the nuclide C in the
    unifiée de
ground state at rest
    masse
    atomique
–19
e
10-5.1 elementary negative of electric charge
e = 1,602 176 487(40) × 10 C
(9-6)
 charge (IEC 80000-6:2008,
[2006 CODATA recommended
item 6-2) of the electron
values].
fr charge (f)
    élémentaire
c
10-5.2 charge number, for a particle, the electric A particle is said to be electrically
(—)  ionization charge neutral if its charge number is equal
 number (IEC 80000-6:2008, item to zero.
6-2) divided by the The charge number of a particle can
fr nombre (m) de
elementary charge (item be positive, negative, or zero.
    charge,
10-5.1) The state of charge of a particle may
  charge (f)
be presented as a superscript to the
    ionique
symbol of that particle, e.g.
+++3=+ − 3−
H , He , Al , Cl , S , N
–34
10-6.1 Planck constant elementary quantum of
h h = 6,626 068 96(33) × 10 J s
(9-7) action (ISO 80000-4:2006,
[2006 CODATA recommended
fr constante (f)
item 4-37)
values].
    de Planck
Energy E of harmonic vibration of
frequency f can change for
multiples of ∆=Ehf=�ω only.
–34
10-6.2 reduced Planck �
h � = 1,054 571 628(53) × 10 J s
�=
(—)  constant
[2006 CODATA recommended

values].
fr constante (f)
where h is the Planck
    de Planck
� is sometimes known as hbar or the
constant (item 10-6.1)
    réduite
Dirac constant.


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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
UNITS ATOMIC AND NUCLEAR PHYSICS
Item No. Name Symbol Definition Conversion factors and remarks
10-4.a kilogram kg
10-4.b dalton, Da, u 1 dalton is equal to 1/12 times
1 Da = 1 u =
–27
unified atomic the mass of a free carbon 12
1,660 538 782(83) × 10 kg
 mass unit atom, at rest and in its ground
[2006 CODATA recommended
state
values].
10-5.a coulomb C
10-6.a joule second J · s
(continued)

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
ATOMIC AND NUCLEAR PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
2 –10
10-7 Bohr radius
a a = 0,529 177 208 59(36) × 10 m
4πε �
0 0
0
(9-8)
a =
0
fr rayon (m) de 2 [2006 CODATA recommended
me
e
values].
    Bohr
where ε is the electric
0
The radius of the electron orbital in
constant
the H-atom in its ground state is a in
0
(IEC 80000-6:2008, item
the Bohr model of the atom.
6-14.1),
� is the reduced Planck
constant (item 10-6.2),
m is the rest mass of
e
electron (item 10-2), and
e is the elementary
charge (item 10-5.1)
10-8 Rydberg constant 2
R R =
∞ e ∞
(9-9) R =
∞ –1
fr constante (f) 10 973 731,568 527(73) m
8πε ahc
00 0
[2006 CODATA recommended
    de Rydberg
where e is the elementary
values]
charge (item 10-5.1),
R=⋅R hc
The quantity is called
y ∞ 0
ε is the electric constant
0
Rydberg energy.
(IEC 80000-6:2008, item
6-14.1),
a is the Bohr radius (item
0
10-7),
h is the Planck constant
(item 10-6.1), and
c is the speed of light in
0
vacuum
(ISO 80000-7:2008, item
7-4.1)
–18
2
10-9 Hartree energy
E , E E = 4,359 743 94(22) × 10 J
H h e H
(9-10) E =
H
[2006 CODATA recommended
fr énergie (f) de
4πε a
00
values].
    Hartree
where e is the elementary
The energy of the electron in
charge (item 10-5.1),
H-atom in its ground state is −E .
H
ε is the electric constant
0
(IEC 80000-6:2008, item
E=⋅2Rhc .
H0∞
6-14.1), and
a is the Bohr radius (item
0
10-7)


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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
UNITS ATOMIC AND NUCLEAR PHYSICS
Item No. Name Symbol Definition Conversion factors and remarks
–10
10-7.a metre m ångström (Å), 1 Å := 10 m
–1
10-8.a metre to the
m
 power minus
 one
10-9.a joule J
(continued)

© ISO 2009 – All rights reserved 7

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
ATOMIC AND NUCLEAR PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
µ
10-10.1 magnetic dipole for a particle or nucleus, For an atom or nucleus, this energy is
(9-11.1)
 moment vector quantity causing an quantized and may be written as
increment
Wg= µMB
X
fr moment (m)
∆=W - µB⋅
    magnétique
where g is the appropriate g-factor
to its energy W
(item 10-15.1 or item 10-15.2),
(ISO 80000-5:2007, item
is mostly the Bohr magneton or
µ
5-20.1) in an external X
nuclear magneton (item 10-10.2 or
magnetic field with
item 10-10.3), M is the magnetic
magnetic flux density B
(IEC 80000-6:2008, item
quantum number (item 10-14.4), and
6-21)
B is the magnitude of the magnetic
flux density.
See also IEC 80000-6:2008, item
6-23.
–26 –1
10-10.2
Bohr magneton
µ e� µ = 927,400 915(23) × 10 J T
B
B
µ =
(9-11.2) B
[2006 CODATA recommended
fr magnéton (m) 2m
e
values].
    de Bohr
where e is the elementary
µ is magnetic moment of an
B
charge (item 10-5.1), and
electron in a state with orbital
m is the rest mass of
e
quantum number l = 1 (item 10-14.3)
electron (item 10-2)
due to its orbital motion.
–27 –1
10-10.3 nuclear magneton
µ µ = 5,050 783 24(13) × 10 J T
e�
Ν Ν
µ =
(9-11.3)
N
[2006 CODATA recommended
fr magnéton (m) 2m
p
values].
    nucléaire
where e is the elementary
Subscript N stands for nucleus. For
charge (item 10-5.1), and
the neutron magnetic moment,
m is the rest mass of
p subscript n is used. The magnetic
proton (item 10-2)
moments of protons or neutrons differ
from this quantity by their specific
g-factors (item 10-15.2).
s
10-11 spin internal angular Spin is an additive vector quantity.
(—) momentum
fr spin (m)
(ISO 80000-4:2006, item
4-12) of a particle or a
particle system


8 © ISO 2009 – All rights reserved

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
UNITS ATOMIC AND NUCLEAR PHYSICS
Item No. Name Symbol Definition Conversion factors and remarks
2
10-10.a ampere square
A · m
 metre

2 –1
10-11.a kilogram metre
kg · m · s
 squared per
 second
(continued)

© ISO 2009 – All rights reserved 9

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SIST EN ISO 80000-10:2013
ISO 80000-10:2009(E)
ATOMIC AND NUCLEAR PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
10-12 total angular vector quantity in a In atomic and nuclear physics, orbital
J
(—)  momentum quantum microsystem angular momentum is usually
composed of angular
denoted by l or L instead of Λ.
fr moment (m)
momentum Λ
    cinétique
The magnitude of J is quantized so
(ISO 80000-4:2006, item
    total 22
that Jj=+�j 1 , where j is the
()
4-12) and spin s (item
total angular momentum quantum
10-11)
number (item 10-14.6).
Total angular momentum and
magnetic dipole moment have the
same direction.
j is not the magnitude of the total
angular momentum J but its
projection onto the quantization axis,
divided by �.
10-13.1 gyromagneti
...

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