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12-30

effective mass

URNurn:iso:std:iso:80000:-12:ed-2:en:item:12-30

https://metanorma.github.io/isq-smart/quantities/part-12/t12-30
urn:iso:std:iso:80000:-12:ed-2:en:item:12-30

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-12:ed-2:en:item:12-30

IEC

urn:iec:std:iec:80000-12:2019:::item:12-30

Designations

ENeffective mass

FRmasse effective

Symbol

m *

Notation systems

Rendered

m *

AsciiMath

m**

LaTeX

m \ast

Definition

quantity given by:

m * = {P{hbar}}^{2} k / (d ε / d k)

where $k$ is wavenumber (ISO 80000-3: Space and time), $ε$ is the energy (ISO 80000-5: Thermodynamics) of an electron in the interior of a substance, and $P{hbar}$ is the reduced Planck constant (ISO 80000-1)

grandeur donnée par :

m * = {P{hbar}}^{2} k / (d ε / d k)

où $k$ est le nombre d'onde (ISO 80000-3: Space and time), $ε$ est l'énergie (ISO 80000-5: Thermodynamics) d'un électron à l'intérieur d'une substance, et $P{hbar}$ est la constante de Planck réduite (ISO 80000-1)

Units

k g

kilogram

View related quantities →

Notes

When $k$ refers to a state where $ε$ has an extremum, $m * = {P{hbar}}^{2} / (d^{2} ε / d k^{2})$ . The effective mass can be generalized to refer to an anisotropic system with $ε = ε (k)$ .

Lorsque $k$ se rapporte à un état où $ε$ a un extrême, $m * = {P{hbar}}^{2} k / (d^{2} ε / d k^{2})$ . La masse effective peut être généralisée pour se rapporter à un système anisotrope avec $ε = ε (k)$ .

Concept HierarchyPendrill (2024)

Mmass-type quantitiesLevel 0 · Kind

Broader concepts

◇ mass-type quantities

Characterizes

● electron● substance

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t12-30

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	12-30
skosxl:prefLabel	"effective mass"@en
skosxl:altLabel	"m**"@en
skos:definition	quantity given by: [stem%unnumbered] ++++ m** = "P{hbar}"^2k // ("d"epsilon//"d"k) ++++ where stem:[k] is wavenumber (…
skos:note	When stem:[k] refers to a state where stem:[epsilon] has an extremum, stem:[m** = "P{hbar}"^2 // ("d"^2 epsilon // "d"k^…
isq:hasUnit	kg (kilogram)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-12

Related Entities

isq:QuantityShape isq:part-12 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry