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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

9-35.2

canonical partition function

URNurn:iso:std:iso:80000:-9:ed-2:en:item:9-35.2

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-9/t9-35.2
urn:iso:std:iso:80000:-9:ed-2:en:item:9-35.2

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-9:ed-2:en:item:9-35.2

IEC

urn:iec:std:iec:80000-9:2019:::item:9-35.2

Designations

ENcanonical partition function

FRfonction de partition canonique

Symbol

Z

Notation systems

Rendered

Z

AsciiMath

Z

LaTeX

Z

Definition

sum over quantum states of energy $E_{r}$ (ISO 80000-4: Mechanics), expressed by:

Z = \sum_{r} exp (\frac{- E_{r}}{k T})

where $k$ is the Boltzmann constant (ISO 80000-1), and $T$ is thermodynamic temperature (ISO 80000-5: Thermodynamics)

somme, pour les états quantiques d'énergie $E_{r}$ (ISO 80000-4: Mechanics), exprimée par:

Z = \sum_{r} exp (\frac{- E_{r}}{k T})

où $k$ est la constante de Boltzmann (ISO 80000-1) et $T$ est la température thermodynamique (ISO 80000-5: Thermodynamics)

Units

1

one

View related quantities →

Notes

A = - k T ln Z

where $A$ is Helmholtz energy (ISO 80000-5: Thermodynamics).

A = - k T ln Z

où $A$ est l'énergie libre (ISO 80000-5: Thermodynamics).

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:t9-35.2

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	9-35.2
skosxl:prefLabel	"canonical partition function"@en
skosxl:altLabel	"Z"@en
skos:definition	sum over quantum states of energy stem:[E_r] (<<iso80000-4>>), expressed by: [stem%unnumbered] ++++ Z = sum_r "exp" ((-…
skos:note	[stem%unnumbered] ++++ A = -kT "ln" Z ++++ where stem:[A] is Helmholtz energy (<<iso80000-5>>).
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