This HTML5 document contains 42 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n15https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbchttp://dbpedia.org/resource/Category:
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Index_of_physics_articles_(T)
dbo:wikiPageWikiLink
dbr:Translational_partition_function
Subject Item
dbr:Rotational_partition_function
dbo:wikiPageWikiLink
dbr:Translational_partition_function
Subject Item
dbr:Translational_partition_function
rdf:type
yago:Relation100031921 yago:WikicatPartitionFunctions yago:MathematicalRelation113783581 yago:Abstraction100002137 yago:Function113783816
rdfs:label
Translational partition function
rdfs:comment
In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass. For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules, the canonical ensemble can be approximated by: where When considering a set of N non-interacting but identical atoms or molecules, when QT ≫ N , or equivalently when ρ Λ ≪ 1 where ρ is the density of particles, the total translational partition function can be written
dcterms:subject
dbc:Partition_functions
dbo:wikiPageID
7783583
dbo:wikiPageRevisionID
1116859703
dbo:wikiPageWikiLink
dbr:Partition_function_(mathematics) dbr:Molecule dbr:Rotational_partition_function dbr:Statistical_mechanics dbc:Partition_functions dbr:Thermodynamic_temperature dbr:Partition_function_(statistical_mechanics) dbr:Vibrational_partition_function dbr:Center_of_mass dbr:Ideal_gas dbr:Planck_constant dbr:Thermal_de_Broglie_wavelength dbr:Boltzmann_constant dbr:Identical_particles dbr:Atom dbr:Canonical_ensemble
owl:sameAs
yago-res:Translational_partition_function freebase:m.026cy3_ n15:4wMoa wikidata:Q7834544
dbp:wikiPageUsesTemplate
dbt:Use_American_English dbt:Statistical_mechanics_topics dbt:Short_description dbt:Quantum-stub dbt:Statisticalmechanics-stub
dbo:abstract
In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass. For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules, the canonical ensemble can be approximated by: where Here, V is the volume of the container holding the molecule (volume per single molecule so, e.g., for 1 mole of gas the container volume should be divided by the Avogadro number), Λ is the Thermal de Broglie wavelength, h is the Planck constant, m is the mass of a molecule, kB is the Boltzmann constant and T is the absolute temperature.This approximation is valid as long as Λ is much less than any dimension of the volume the atom or molecule is in. Since typical values of Λ are on the order of 10-100 pm, this is almost always an excellent approximation. When considering a set of N non-interacting but identical atoms or molecules, when QT ≫ N , or equivalently when ρ Λ ≪ 1 where ρ is the density of particles, the total translational partition function can be written The factor of N! arises from the restriction of allowed N particle states due to Quantum exchange symmetry.Most substances form liquids or solids at temperatures much higher than when this approximation breaks down significantly.
prov:wasDerivedFrom
wikipedia-en:Translational_partition_function?oldid=1116859703&ns=0
dbo:wikiPageLength
2232
foaf:isPrimaryTopicOf
wikipedia-en:Translational_partition_function
Subject Item
wikipedia-en:Translational_partition_function
foaf:primaryTopic
dbr:Translational_partition_function