@prefix isq: <https://w3id.org/standards/isq/ontologies/core/> .
@prefix smart: <https://example.org/smart-sdu/> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

<isq:t9-35.3>
  a isq:Entry ;
  rdf:type isq:Quantity ;
  rdf:type smart:TermEntry ;
  dcterms:identifier "9-35.3" ;
  skosxl:prefLabel "grand-canonical partition function"@en ;
  skosxl:altLabel "grand partition function"@en ;
  skosxl:altLabel "ii(Xi)"@en ;
  skos:definition "sum of canonical partition function stem:[Z (N_\"A\",N_\"B\",...)] for the given number of particles stem:[\"A\", \"B\"] multiplied by absolute activities (<<t9-18>>) stem:[lambda_\"A\", lambda_\"B\", ...] of particles stem:[\"A\", \"B\"]:\n\n[stem%unnumbered]\n++++\nii(Xi) = sum_(N_\"A\",N_\"B\",...) Z(N_\"A\", N_\"B\",...) * lambda_\"A\"^(N_\"A\")*lambda_\"B\"^(N_\"B\")*...\n++++\n"@en ;
  smart:hasBindingnessType "bindingness-type:normative" ;
  dcterms:isPartOf <isq:part-9> ;
  isq:hasUnit [
    skos:notation "1" ;
    skosxl:prefLabel "one"@en
  ] ;
  skos:note "[stem%unnumbered]\n++++\nA - sum mu_\"B\" n_\"B\" = - kT \"ln\" ii(Xi)\n++++\n\nwhere stem:[A] is Helmholtz energy (<<iso80000-5>>), stem:[mu_\"B\"] is the chemical potential of substance stem:[\"B\"], and stem:[n_\"B\"] is the amount of substance stem:[\"B\"].\n"@en ;
  iso:urn <urn:iso:std:iso:80000:-9:ed-2:en:item:9-35.3> .