This HTML5 document contains 21 embedded RDF statements represented using HTML+Microdata notation.

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

Namespace Prefixes

Prefix	IRI
dcterms	http://purl.org/dc/terms/
dbo	http://dbpedia.org/ontology/
foaf	http://xmlns.com/foaf/0.1/
n13	https://global.dbpedia.org/id/
dbt	http://dbpedia.org/resource/Template:
rdfs	http://www.w3.org/2000/01/rdf-schema#
freebase	http://rdf.freebase.com/ns/
rdf	http://www.w3.org/1999/02/22-rdf-syntax-ns#
owl	http://www.w3.org/2002/07/owl#
wikipedia-en	http://en.wikipedia.org/wiki/
dbc	http://dbpedia.org/resource/Category:
dbp	http://dbpedia.org/property/
prov	http://www.w3.org/ns/prov#
xsdh	http://www.w3.org/2001/XMLSchema#
wikidata	http://www.wikidata.org/entity/
dbr	http://dbpedia.org/resource/

Statements

Subject Item

dbr:Multiplicity_function_for_N_noninteracting_spins

rdfs:label

Multiplicity function for N noninteracting spins

rdfs:comment

The multiplicity function for a two state paramagnet, W(n,N), is the number of spin states such that n of the N spins point in the z-direction. This function is given by the combinatoric function C(N,n). That is: It is primarily used in introductory statistical mechanics and thermodynamics textbooks to explain the microscopic definition of entropy to students. If the spins are non-interacting, then the multiplicity function counts the number of states which have the same energy in an external magnetic field. By definition, the entropy S is then given by the natural logarithm of this number:

dcterms:subject

dbc:Thermodynamics

dbo:wikiPageID

4680068

dbo:wikiPageRevisionID

1112791330

dbo:wikiPageWikiLink

dbr:Boltzmann_constant dbr:Statistical_mechanics dbr:Entropy dbr:Thermodynamics dbr:Natural_logarithm dbc:Thermodynamics dbr:Combinations

owl:sameAs

freebase:m.0cgztk n13:4rzcA wikidata:Q6935012

dbp:wikiPageUsesTemplate

dbt:Thermodynamics-stub dbt:Short_description

dbo:abstract

The multiplicity function for a two state paramagnet, W(n,N), is the number of spin states such that n of the N spins point in the z-direction. This function is given by the combinatoric function C(N,n). That is: It is primarily used in introductory statistical mechanics and thermodynamics textbooks to explain the microscopic definition of entropy to students. If the spins are non-interacting, then the multiplicity function counts the number of states which have the same energy in an external magnetic field. By definition, the entropy S is then given by the natural logarithm of this number: Where k is the Boltzmann constant

prov:wasDerivedFrom

wikipedia-en:Multiplicity_function_for_N_noninteracting_spins?oldid=1112791330&ns=0

dbo:wikiPageLength

1074

foaf:isPrimaryTopicOf

wikipedia-en:Multiplicity_function_for_N_noninteracting_spins