{"id":"https://openalex.org/W2006159142","doi":"https://doi.org/10.1063/1.450537","title":"Analytic expressions for the equilibrium distributions of isomer groups in homologous series","display_name":"Analytic expressions for the equilibrium distributions of isomer groups in homologous series","publication_year":1986,"publication_date":"1986-01-15","ids":{"openalex":"https://openalex.org/W2006159142","doi":"https://doi.org/10.1063/1.450537","mag":"2006159142"},"language":"en","primary_location":{"id":"doi:10.1063/1.450537","doi":"https://doi.org/10.1063/1.450537","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.450537","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111913220","display_name":"Robert A. Alberty","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert A. Alberty","raw_affiliation_strings":["Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109901338","display_name":"Irwin Oppenheim","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Irwin Oppenheim","raw_affiliation_strings":["Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":3.9219,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.9326126,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"84","issue":"2","first_page":"917","last_page":"920"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12852","display_name":"Chemical Thermodynamics and Molecular Structure","score":0.6528000235557556,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12852","display_name":"Chemical Thermodynamics and Molecular Structure","score":0.6528000235557556,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10117","display_name":"Advanced Combustion Engine Technologies","score":0.21570000052452087,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.08649999648332596,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isomer-distribution","display_name":"isomer distribution","score":0.699999988079071},{"id":"https://openalex.org/keywords/homologous-series","display_name":"homologous series","score":0.9599999785423279},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"stationary distribution","score":0.5410000085830688},{"id":"https://openalex.org/keywords/alkanes","display_name":"alkanes","score":0.7009999752044678},{"id":"https://openalex.org/keywords/alkenes","display_name":"alkenes","score":0.9980000257492065},{"id":"https://openalex.org/keywords/h-c-ratio","display_name":"H/C ratio","score":0.7450000047683716},{"id":"https://openalex.org/keywords/standard-gibbs-free-energy-of-formation","display_name":"standard Gibbs energy of formation","score":0.9150000214576721},{"id":"https://openalex.org/keywords/mass-fraction","display_name":"mass fraction","score":0.5090000033378601}],"concepts":[{"id":"https://openalex.org/C2776482079","wikidata":"https://www.wikidata.org/wiki/Q741844","display_name":"Homologous series","level":2,"score":0.926691472530365},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.594880223274231},{"id":"https://openalex.org/C140205800","wikidata":"https://www.wikidata.org/wiki/Q5860","display_name":"Carbon fibers","level":3,"score":0.5857895016670227},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.5799453258514404},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5532724261283875},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.5229321718215942},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5183285474777222},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5127042531967163},{"id":"https://openalex.org/C2993160763","wikidata":"https://www.wikidata.org/wiki/Q5037985","display_name":"Carbon number","level":3,"score":0.49580273032188416},{"id":"https://openalex.org/C512968161","wikidata":"https://www.wikidata.org/wiki/Q556","display_name":"Hydrogen","level":2,"score":0.4606466591358185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2927287817001343},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.20692315697669983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15641635656356812},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15513795614242554},{"id":"https://openalex.org/C2780263894","wikidata":"https://www.wikidata.org/wiki/Q335268","display_name":"Alkyl","level":2,"score":0.0792900025844574},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.450537","doi":"https://doi.org/10.1063/1.450537","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.450537","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.41999998688697815}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337480","display_name":"Basic Energy Sciences","ror":"https://ror.org/05mg91w61"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1483357708","https://openalex.org/W1969264014","https://openalex.org/W1971855121","https://openalex.org/W1985932958","https://openalex.org/W1988456518","https://openalex.org/W1998330103","https://openalex.org/W2012754308","https://openalex.org/W2020628035","https://openalex.org/W2023837308","https://openalex.org/W2027538040","https://openalex.org/W2066915094","https://openalex.org/W2083317248","https://openalex.org/W2093242607","https://openalex.org/W2093962673","https://openalex.org/W2112662219","https://openalex.org/W2168212132","https://openalex.org/W4236108459","https://openalex.org/W4236872179"],"related_works":["https://openalex.org/W2045794110","https://openalex.org/W2000267709","https://openalex.org/W1966735027","https://openalex.org/W2044893268","https://openalex.org/W2020682065","https://openalex.org/W2012754308","https://openalex.org/W1964674247","https://openalex.org/W2041897258","https://openalex.org/W2095561664","https://openalex.org/W3211057077"],"abstract_inverted_index":{"The":[0,101],"equilibrium":[1,59,84,177],"distribution":[2,49,85,102,173],"of":[3,13,16,19,25,35,57,62,70,75,93,120,122,130],"isomer":[4,124],"groups":[5,125],"in":[6],"a":[7,11,29,55,127,138,175],"homologous":[8,40,66],"series":[9,41],"is":[10,33,81,135,141,147],"function":[12,56,92,129],"the":[14,17,23,36,43,48,58,72,78,83,94,108,113,116,123,144,153,158,162,171],"ratio":[15],"number":[18,24,96,146,156,160],"hydrogen":[20],"atoms":[21,27],"to":[22,53],"carbon":[26,95,99,131,145,155,159],"at":[28,97],"given":[30,167],"temperature":[31],"and":[32,110,157],"independent":[34,79],"pressure,":[37],"except":[38],"for":[39,64,107,112,152,166],"with":[42],"molecular":[44],"formulas":[45],"CnH2n.":[46],"Alternatively,":[47],"can":[50,86],"be":[51,54,87],"taken":[52],"partial":[60,73],"pressure":[61,74],"ethylene":[63,76],"all":[65],"series.":[67],"An":[68],"advantage":[69],"using":[71,174],"as":[77,89,143],"variable":[80],"that":[82,115,137],"expressed":[88],"an":[90],"analytic":[91],"higher":[98],"numbers.":[100],"functions":[103],"have":[104],"been":[105],"derived":[106,151],"alkanes":[109],"alkenes":[111],"case":[114],"standard":[117],"Gibbs":[118],"energies":[119],"formation":[121],"are":[126,150],"linear":[128,139],"number.":[132],"Experimentally":[133],"it":[134],"found":[136],"relation":[140],"approached":[142],"increased.":[148],"Expressions":[149],"mean":[154],"contributing":[161],"largest":[163],"weight":[164],"fraction":[165],"conditions,":[168],"without":[169],"calculating":[170],"whole":[172],"general":[176],"program.":[178]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}