SIST EN ISO 80000-12:2013
(Main)Quantities and units - Part 12: Solid state physics (ISO 80000-12:2009)
Quantities and units - Part 12: Solid state physics (ISO 80000-12:2009)
ISO 80000-12:2009 gives names, symbols and definitions for quantities and units of solid state physics. Where appropriate, conversion factors are also given.
Größen und Einheiten - Teil 12: Festkörperphysik (ISO 80000-12:2009)
ISO 80000-12 enthält Benennungen, Zeichen und Definitionen für Größen und Einheiten der Festkörperphysik. Wo benötigt, sind auch Umrechnungsfaktoren aufgeführt.
Grandeurs et unités - Partie 12: Physique de l'état solide (ISO 80000-12:2009)
L'ISO 80000‑12 donne les noms, les symboles et les définitions des grandeurs et unités de physique de l'état solide. Des facteurs de conversion sont également indiqués, s'il y a lieu.
Veličine in enote - 12. del: Fizika trdne snovi (ISO 80000-12:2009)
Standard ISO 80000-12:2009 podaja imena, simbole in definicije za veličine in enote, ki se uporabljajo v fiziki trdne snovi. Kjer je primerno, so navedeni tudi pretvorniki (pretvorni faktorji).
General Information
Relations
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN ISO 80000-12:2013
01-junij-2013
1DGRPHãþD
SIST ISO 31-13:1995/Amd. 1:2001
SIST ISO 31-13+A1:2008
9HOLþLQHLQHQRWHGHO )L]LNDWUGQHVQRYL ,62
Quantities and units - Part 12: Solid state physics (ISO 80000-12:2009)
Größen und Einheiten - Teil 12: Festkörperphysik (ISO 80000-12:2009)
Grandeurs et unités - Partie 12: Physique de l'état solide (ISO 80000-12:2009)
Ta slovenski standard je istoveten z: EN ISO 80000-12:2013
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
07.030 Fizika. Kemija Physics. Chemistry
SIST EN ISO 80000-12:2013 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN ISO 80000-12:2013
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SIST EN ISO 80000-12:2013
EUROPEAN STANDARD
EN ISO 80000-12
NORME EUROPÉENNE
EUROPÄISCHE NORM
April 2013
ICS 01.060
English Version
Quantities and units - Part 12: Solid state physics (ISO 80000-
12:2009)
Grandeurs et unités - Partie 12: Physique de l'état solide Größen und Einheiten - Teil 12: Festkörperphysik (ISO
(ISO 80000-12:2009) 80000-12:2009)
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 80000-12:2013: E
worldwide for CEN national Members.
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SIST EN ISO 80000-12:2013
EN ISO 80000-12:2013 (E)
Contents Page
Foreword .3
2
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SIST EN ISO 80000-12:2013
EN ISO 80000-12:2013 (E)
Foreword
The text of ISO 80000-12:2009 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-
12:2013.
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 80000-12:2009 has been approved by CEN as EN ISO 80000-12:2013 without any
modification.
3
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SIST EN ISO 80000-12:2013
INTERNATIONAL ISO
STANDARD 80000-12
First edition
2009-05-15
Quantities and units —
Part 12:
Solid state physics
Grandeurs et unités —
Partie 12: Physique de l'état solide
Reference number
ISO 80000-12:2009(E)
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Contents Page
Foreword. iv
Introduction . vi
1 Scope . 1
2 Normative references . 1
3 Names, symbols, and definitions . 1
Annex A (normative) Symbols for planes and directions in crystals . 28
Bibliography . 29
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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.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. 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 80000-12 was prepared by Technical Committee ISO/TC 12, Quantities and units, in
co-operation with IEC/TC 25, Quantities and units, and their letter symbols.
This first edition of ISO 80000-12 cancels and replaces ISO 31-13:1992. It also incorporates the Amendment
ISO 31-13:1992/Amd.1:1998. The major technical changes from the previous standard are the following:
— the presentation of numerical statements has been changed;
— the normative references have been changed.
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
— 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
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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, vectorial or tensorial 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
should 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 1)
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 use of coherent SI units,
1) To be published.
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and their decimal multiples and submultiples formed with the SI prefixes, are recommended, although the
decimal multiples and submultiples are not explicitly mentioned.
b) Some non-SI units are then given, being 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 are given for information, especially regarding the conversion factors, 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 plane angle is generally expressed as the ratio of two lengths and 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 kinds 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 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.
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INTERNATIONAL STANDARD ISO 80000-12:2009(E)
Quantities and units —
Part 12:
Solid state physics
1Scope
ISO 80000-12 gives names, symbols and definitions for quantities and units of solid state 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 80000-8:2007, Quantities and units — Part 8: Acoustics
ISO 80000-9:2009, Quantities and units — Part 9: Physical chemistry and molecular physics
2)
ISO 80000-10:— , Quantities and units — Part 10: Atomic and nuclear physics
3 Names, symbols, and definitions
The names, symbols, and definitions for quantities and units of solid state physics are given on the following
pages.
2) To be published. (Revision of ISO 31-9:1992 and ISO 31-10:1992)
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SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-1.1 lattice vector R translation vector that maps the
(13-1.1) fr vecteur (m) du crystal lattice on itself
réseau
12-1.2 fundamental lattice a , a , a , fundamental translation vectors for R = naa+ n + na
1 1 2 2 3 3
1 2 3
(13-1.2) vectors a, b, c the crystal lattice
where , , n n and n are
1 2 3
fr vecteurs (m) de
integers.
base
12-2.1 angular reciprocal G vector whose scalar products with In crystallography, however, the
(13-2.1) lattice vector all fundamental lattice vectors are quantity G/2π is sometimes
fr vecteur (m) du integral multiples of 2π used.
réseau
réciproque
12-2.2 fundamental b , b , b fundamental translation vectors for a · b = 2πδ
1 2 3 i i ij
(13-2.2) reciprocal lattice the reciprocal lattice
In crystallography, however, the
vectors
quantities b /(2π) are also
j
fr vecteurs (m) de
often used.
base
réciproques
12-3 lattice plane d distance between successive
(13-3) spacing lattice planes
fr espacement (m)
entre plans
réticulaires
12-4 Bragg angle ϑ 2d sin ϑ = nλ
(13-4) fr angle (m) de
where d is the lattice plane
Bragg
spacing (item 12-3), λ is the
wavelength (ISO 80000-7:2008,
12-5 order of reflexion n
item 7-3) of the radiation, and n is
(13-5) fr ordre (m) de
an integer
réflexion
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ISO 80000-12:2009(E)
UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
−10
12-1.a metre m ˚ ˚
ångström (A), 1 A = 10 m
–1
12-2.a metre to the power m
minus one
−10
12-3.a metre m ˚ ˚
ångström (A), 1 A = 10 m
12-4.a radian rad
◦ ◦
12-4.b degree 1 = (π/180) rad≈ 0,017 453 29 rad
12-5.a one 1 See the Introduction, 0.3.2.
(continued)
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SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-6.1 short-range order r, σ fraction of nearest-neighbour atom pairs in an Similar definitions
(13-6.1) parameter Ising ferromagnet having magnetic moments in apply to other
fr paramètre (m) one direction, minus the fraction having magnetic order-disorder
d'ordre local moments in the opposite direction phenomena.
Other symbols
are frequently
used.
12-6.2 long-range order R, s fraction of atoms in an Ising ferromagnet having
(13-6.2) parameter magnetic moments in one direction, minus the
fr paramètre (m) fraction having magnetic moments in the opposite
d'ordre à direction
grande
distance
12-6.3 atomic scattering f f = E /E
a e
(—) factor
where E is the radiation amplitude scattered by
a
fr facteur (f) de
the atom and E is the radiation amplitude
e
diffusion
scattered by a single electron
atomique
N
12-6.4 structure factor F(,h ,k l)
�
F (h, k, l) = f exp[2πi(hx + ky + lz )]
(—) fr facteur (f) de n n n n
n=1
structure
where f is the atomic scattering factor (item
n
12.6.3) for atom n, and x , y , z are fractional
n n n
coordinates in the unit cell; for h, k, l, see
Annex A
12-7 Burgers vector b vector characterizing a dislocation, i.e. the closing
(13-7) fr vecteur (m) de vector in a Burgers circuit encircling a dislocation
Burgers line
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UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
12-6.a one 1 See Introduction, 0.3.2.
12-7.a metre m
(continued)
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SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-8.1 particle position r, Rr is the position vector Often, r is used for electrons
(13-8.1) vector (ISO 80000-3:2006, item 3-1.11) and R is used for atoms and
fr rayon (m) of a particle other heavier particles.
vecteur
d'une particule
12-8.2 equilibrium position R R is the position vector
0 0
(13-8.2) vector of an ion (ISO 80000-3:2006, item 3-1.11)
or an atom of a particle in equilibrium
fr rayon (m)
vecteur
d'équilibre d'un
ion ou d'un
atome
12-8.3 displacement uu = R – R
0
(13-8.3) vector of ion or
R is the particle position vector
atom
(item 12-8.1) and R is the
0
fr vecteur (m) de
equilibrium position vector of a
déplacement
particle (item 12-8.2)
d'un ion ou
d'un atome
12-9 Debye-Waller D, B factor by which the intensity of a D is sometimes expressed as
(13-9) factor diffraction line is reduced because D = exp(− 2W ); in
fr facteur (m) de of the lattice vibrations Mössbauer spectroscopy, it is
Debye-Waller also called the f factor and
denoted by f.
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UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
12-8.a metre m
12-9.a one 1 See Introduction, 0.3.2.
(continued)
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SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-10.1 angular k, (q) k = p/M The corresponding vector
(13-10.1) wavenumber, quantity k or q is called the
where p is the linear momentum
angular repetency wave vector.
(ISO 80000-4:2006, item 4-8) of
fr nombre (m)
quasi free electrons in an electron When a distinction is needed
d'onde
gas and M is the Planck constant h between k and the symbol for
angulaire
(ISO 80000-10:—, item 10-6.1), the Boltzmann constant, k
B
divided by 2π; for phonons, can be used for the latter.
its magnitude is k = 2π/λ
When a distinction is needed,
where λ is the wavelength
q should be used for phonons,
(ISO 80000-3:2006, item 3-17) of
and k for particles such as
the lattice vibrations
electrons and neutrons.
The method of cut-off shall be
12-10.2 Fermi angular k angular wavenumber (item
F
specified.
(13-10.2) wavenumber, 12-10.1) of electrons in states on
Fermi angular the Fermi sphere
In solid state physics, angular
repetency
wavenumber is often called
fr nombre (m)
wavenumber.
d'onde
angulaire de
Fermi
12-10.3 Debye angular q cut-off angular wavenumber (item
D
(13-10.3) wavenumber, 12-10.1) in the Debye model of the
Debye angular vibrational spectrum of a solid
repetency
fr nombre (m)
d'onde
angulaire de
Debye
12-11 Debye angular ω cut-off angular frequency The method of cut-off shall be
D
(13-11) frequency (ISO 80000-3:2006, item 3-16) in specified.
fr pulsation (f) de the Debye model of the vibrational
Debye spectrum of a solid
12-12 Debye temperature Θ Θ = M ω /k k = 1,380 650 4(24)×
D D D
−23
(13-12) fr température (f) 10 J/K
where k is the Boltzmann constant
de Debye
(ISO 80000-9:2009, item 9-43), [CODATA 2006]
M is the Planck constant h
M = 1,054 571 628(53)×
(ISO 80000-10:—, item 10-6.1),
−34
10 J· s
divided by 2π, and ω is the
D
Debye angular frequency (item
[CODATA 2006]
12-11)
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UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
12-10.a radian per metre rad/m
–1
12-10.b metre to the power m
minus one
12-11.a radian per second rad/s
–1
12-11.b second to the s
power minus one
12-12.a kelvin K
(continued)
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SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-13 density of states g number of vibrational modes in an
dN(ω)
g(ω)=
(13-13) (in terms of infinitesimal interval of angular
dω
angular frequency (ISO 80000-3:2006,
N(ω)
where is the total
frequency) item 3-16), divided by the range of
number of vibrational modes
fr concentration (f) that interval and by volume
with angular frequency less
spectrale des (ISO 80000-3:2006, item 3-4)
than ω, divided by volume.
modes de
vibration (en
fonction de la
pulsation),
densité (f) des
modes
12-14 Grüneisen γ, (Γ ) γ = α /(κ c ρ)
V T V
(13-14) parameter
where α is cubic expansion
V
fr paramètre (m) de
coefficient (ISO 80000-5:2007,
Grüneisen
item 5-3.2), κ is isothermal
T
compressibility
(ISO 80000-5:2007, item 5-5.1),
c is specific heat capacity
V
at constant volume
(ISO 80000-5:2007, item 5-16.3),
and ρ is mass density
(ISO 80000-4:2006, item 4-2)
12-15 Madelung constant α, A for a uni-univalent ionic crystal of Uni-univalent ionic crystals
(13-15) fr constante (f) de specified structure, the binding basically consist of single-
+ –
Madelung energy V (ISO80000-4:2006, charged ions like Na Cl .
b
item 4-27.2) per pair of ions is
The binding energy mainly
2
results from Coulomb force.
e
V = α
b
In most cases, a is close to the
4πε a
0
lattice plane spacing, d (item
where e is the elementary charge
12-3).
(ISO 80000-9:2009, item 9-43),
ε is the electric constant
0
(IEC 80000-6:2008, item 6-14.1),
and a is a lattice constant which
should be specified
©
10 ISO 2009 – All rights reserved
---------------------- Page: 22 ----------------------
SIST EN ISO 80000-12:2013
ISO 80000-12:2009(E)
UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
3
12-13.a second per radian s/(rad · m )
cubic metre
12-14.a one 1 See Introduction, 0.3.2.
12-15.a one 1 See Introduction, 0.3.2.
(continued)
©
ISO 2009 – All rights reserved 11
---------------------- Page: 23 ----------------------
SIST EN ISO 80000-12:2013
ISO 80000-12:2009(E)
SOLID STATE PHYSICS QUANTITIES
Item No. Name Symbol Definition Remarks
12-16.1 mean free path of l , (Λ) mean free path (ISO 80000-10:—,
ph
(13-16.1) phonons item 10-73) of phonons
fr libre parcours (m)
moyen des
phonons
12-16.2 mean free path of l , (l) mean free path (ISO 80000-10:—,
e
(13-16.2) electrons item 10-73) of electrons
fr libre parcours (m)
moyen des
électrons
12-17 energy density of n , ρ Density of states refers to
E
dN(E) 1
ρ(E)= n (E)=
(13-17) states electrons or other entities, e.g.
E
dE V
fr densité (f) des phonons. It can, for example,
where N(E) is the total number of
états d'énergie, refer to amount of substance
states with energy less than E
densité (f) des instead of volume.
(ISO 80000-4:2006, item 4-27.4),
états
and Vis volume
(ISO 80000-3:2006, item 3-4)
ρ
12-18 residual resistivity for metals, resisitivity
R
(13-18) fr résistivité (f) (IEC 80000-6:2008, item 6-44)
résiduelle extrapolated to zero
thermodynamic temperature
(ISO 80000-5:2007, item 5-1)
12-19 Lorenz coefficient L L = λ/(σT)
(13-19) fr coefficient (m)
where λ is thermal conductivity
de Lorenz
(ISO 80000-5:2007, item 5-9), σ is
electric conductivity
(IEC 80000-6:2008, item 6-43),
and Tis thermodynamic
temperature (ISO 80000-5:2007,
item 5-1)
©
12 ISO 2009 – All rights reserved
---------------------- Page: 24 ----------------------
SIST EN ISO 80000-12:2013
ISO 80000-12:2009(E)
UNITS SOLID STATE PHYSICS
Inter-
Item No. Name national Definition Conversion factors and remarks
symbol
12-16.a metre m
–1 3
12-17.a joule to the power J /m
minus one per
cubic metre
–1 3 −1 3
12-17.b electronvolt to the eV /m 1eV /m =
18 −1 3
power minus one 6,241 509 6
...
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