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Section 9-354 entries

9-35.1microcanonical partition function 9-35.2canonical partition function 9-35.3grand-canonical partition function, grand partition function 9-35.4molecular partition function, partition function of a molecule

9-35.1

microcanonical partition function

URNurn:iso:std:iso:80000:-9:ed-2:en:item:9-35.1

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-9/t9-35.1
urn:iso:std:iso:80000:-9:ed-2:en:item:9-35.1

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-9:ed-2:en:item:9-35.1

IEC

urn:iec:std:iec:80000-9:2019:::item:9-35.1

Designations

ENmicrocanonical partition function

FRfonction de partition microcanonique

Symbol

Ω

Notation systems

Rendered

Ω

AsciiMath

ii(Omega)

LaTeX

\mathit{\Omega}

Definition

number of all quantum states $r$ consistent with given energy $E$ (ISO 80000-4: Mechanics), volume (ISO 80000-3: Space and time), and external fields:

Ω = \sum_{r} 1

somme regroupant tous les états quantiques $r$ compatibles avec les valeurs données de l'énergie $E$ (ISO 80000-4: Mechanics), du volume (ISO 80000-3: Space and time) et des champs extérieurs:

Ω = \sum_{r} 1

Units

1

one

View related quantities →

Notes

S = k ln Ω

where $S$ is entropy (ISO 80000-5: Thermodynamics) and $k$ is the Boltzmann constant (ISO 80000-1).

S = k ln Ω

où $S$ est l'entropie (ISO 80000-5: Thermodynamics) et $k$ est la constante de Boltzmann (ISO 80000-1).

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless quantities

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:t9-35.1

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	9-35.1
skosxl:prefLabel	"microcanonical partition function"@en
skosxl:altLabel	"ii(Omega)"@en
skos:definition	number of all quantum states stem:[r] consistent with given energy stem:[E] (<<iso80000-4>>), volume (<<iso80000-3>>), a…
skos:note	[stem%unnumbered] ++++ S = k"ln" ii(Omega) ++++ where stem:[S] is entropy (<<iso80000-5>>) and stem:[k] is the Boltzman…
isq:hasUnit	1 (one)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-9

Related Entities

isq:QuantityShape isq:part-9 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry