{"id":"https://openalex.org/W2015665279","doi":"https://doi.org/10.1063/1.1701033","title":"Statistical Mechanics of Isotope Effects on the Thermodynamic Properties of Condensed Systems","display_name":"Statistical Mechanics of Isotope Effects on the Thermodynamic Properties of Condensed Systems","publication_year":1961,"publication_date":"1961-05-01","ids":{"openalex":"https://openalex.org/W2015665279","doi":"https://doi.org/10.1063/1.1701033","mag":"2015665279"},"language":"en","primary_location":{"id":"doi:10.1063/1.1701033","doi":"https://doi.org/10.1063/1.1701033","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.1701033","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","is_traditional":true,"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/A5020773599","display_name":"Jacob Bigeleisen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I200870766","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I200870766","https://openalex.org/I39565521","https://openalex.org/I4210142672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jacob Bigeleisen","raw_affiliation_strings":["Chemistry Department, Brookhaven National Laboratory, Upton, New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chemistry Department, Brookhaven National Laboratory, Upton, New York","institution_ids":["https://openalex.org/I200870766"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020773599"],"corresponding_institution_ids":["https://openalex.org/I200870766"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":11.3026,"has_fulltext":false,"cited_by_count":260,"citation_normalized_percentile":{"value":0.99496938,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"34","issue":"5","first_page":"1485","last_page":"1493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12852","display_name":"Chemical Thermodynamics and Molecular Structure","score":0.8291000127792358,"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":0.8291000127792358,"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/T10413","display_name":"High-pressure geophysics and materials","score":0.053199999034404755,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.031099999323487282,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isotope-effects","display_name":"isotope effects","score":0.9589999914169312},{"id":"https://openalex.org/keywords/molecular-structure","display_name":"molecular structure","score":0.6380000114440918},{"id":"https://openalex.org/keywords/vapor-pressure","display_name":"vapor pressure","score":0.7379999756813049},{"id":"https://openalex.org/keywords/enthalpy-of-vaporization","display_name":"enthalpy of vaporization","score":0.972000002861023},{"id":"https://openalex.org/keywords/molal-volume","display_name":"molal volume","score":0.996999979019165},{"id":"https://openalex.org/keywords/transition-temperature","display_name":"transition temperature","score":0.8600000143051147},{"id":"https://openalex.org/keywords/harmonic-potential","display_name":"harmonic potential","score":0.9279999732971191},{"id":"https://openalex.org/keywords/gruneisen-equation-of-state","display_name":"Gr\u00fcneisen equation of state","score":0.8709999918937683},{"id":"https://openalex.org/keywords/molecular-lattices","display_name":"molecular lattices","score":0.8799999952316284},{"id":"https://openalex.org/keywords/atomic-mass-effects","display_name":"atomic mass effects","score":0.4449999928474426}],"concepts":[{"id":"https://openalex.org/C16946580","wikidata":"https://www.wikidata.org/wiki/Q172623","display_name":"Molality","level":3,"score":0.9332813024520874},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.6830471158027649},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.5905075669288635},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.5673727989196777},{"id":"https://openalex.org/C53810900","wikidata":"https://www.wikidata.org/wiki/Q214967","display_name":"Equation of state","level":2,"score":0.5620720386505127},{"id":"https://openalex.org/C69928629","wikidata":"https://www.wikidata.org/wiki/Q1386472","display_name":"Kinetic isotope effect","level":3,"score":0.4574931561946869},{"id":"https://openalex.org/C12668873","wikidata":"https://www.wikidata.org/wiki/Q230875","display_name":"Thermodynamic state","level":3,"score":0.4386396110057831},{"id":"https://openalex.org/C195801359","wikidata":"https://www.wikidata.org/wiki/Q6452502","display_name":"Vaporization","level":2,"score":0.4239426255226135},{"id":"https://openalex.org/C2776703392","wikidata":"https://www.wikidata.org/wiki/Q444656","display_name":"Gr\u00fcneisen parameter","level":3,"score":0.42084527015686035},{"id":"https://openalex.org/C58312451","wikidata":"https://www.wikidata.org/wiki/Q4817200","display_name":"Atom (system on chip)","level":2,"score":0.41060927510261536},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41029980778694153},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.22505083680152893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2226485013961792},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.185997873544693},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17916658520698547},{"id":"https://openalex.org/C47463417","wikidata":"https://www.wikidata.org/wiki/Q6583695","display_name":"Thermal expansion","level":2,"score":0.16239053010940552},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.1444607973098755},{"id":"https://openalex.org/C184651966","wikidata":"https://www.wikidata.org/wiki/Q906356","display_name":"Aqueous solution","level":2,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C58364064","wikidata":"https://www.wikidata.org/wiki/Q102296","display_name":"Deuterium","level":2,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.1701033","doi":"https://doi.org/10.1063/1.1701033","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.1701033","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1671860850","https://openalex.org/W1971064128","https://openalex.org/W1971574351","https://openalex.org/W1981707185","https://openalex.org/W2010257717","https://openalex.org/W2010286470","https://openalex.org/W2022216240","https://openalex.org/W2023355040","https://openalex.org/W2026798553","https://openalex.org/W2027251591","https://openalex.org/W2046886518","https://openalex.org/W2061434329","https://openalex.org/W2062947274","https://openalex.org/W2064122800","https://openalex.org/W2066550447","https://openalex.org/W2072144029","https://openalex.org/W2084323947","https://openalex.org/W2085860613","https://openalex.org/W2093803908","https://openalex.org/W2325302610","https://openalex.org/W2332720602","https://openalex.org/W2926322661","https://openalex.org/W2926361753","https://openalex.org/W3165898261"],"related_works":["https://openalex.org/W2135603480","https://openalex.org/W2074384991","https://openalex.org/W2244349431","https://openalex.org/W1971064128","https://openalex.org/W2014506681","https://openalex.org/W2992697130","https://openalex.org/W3007597630","https://openalex.org/W20676943","https://openalex.org/W1978203683","https://openalex.org/W2129790203"],"abstract_inverted_index":{"Evidence":[0],"for":[1,52,100,115,145,164],"the":[2,8,11,18,43,57,60,64,73,78,90,107,116,122,125,129,135,138,151,155,159,175],"role":[3,149],"of":[4,14,32,59,69,106,150,158,180,192,200,203],"molecular":[5,44,206],"structure":[6,45],"on":[7],"difference":[9,65,176,188],"in":[10,17,66,72,89,128,177,189,211],"thermodynamic":[12,67],"properties":[13,26,68],"isotopic":[15,70,181,193],"molecules":[16,71,182,194],"liquid":[19],"and":[20,36,81,154,168],"solid":[21],"states":[22],"is":[23,40,162,172,183,195],"summarized.":[24],"The":[25,92,104,148,187,208],"considered":[27],"are":[28,94,109,119,132,210],"vapor":[29],"pressure,":[30],"heats":[31],"vaporization,":[33],"molal":[34,156,178,190],"volume,":[35],"transition":[37],"temperatures.":[38],"It":[39,171],"shown":[41,173],"that":[42,174],"must":[46],"be":[47,143],"taken":[48],"into":[49],"consideration":[50],"even":[51],"small":[53],"quantum":[54,62,98,140],"effects.":[55],"In":[56],"approximation":[58],"first":[61],"correction":[63],"condensed":[74,130,160,169],"state":[75,204],"depends":[76],"upon":[77],"atomic":[79],"masses":[80],"an":[82,198],"energy":[83],"parameter":[84],"associated":[85],"with":[86,214],"each":[87],"atom":[88],"molecule.":[91],"results":[93,209],"extended":[95],"to":[96,134,205],"higher-order":[97],"corrections":[99,141],"a":[101,184],"harmonic":[102],"potential.":[103],"rules":[105],"mean":[108],"obtained":[110],"directly.":[111],"Various":[112],"frequency":[113],"distributions":[114],"lattice":[117],"modes":[118],"considered.":[120],"For":[121],"case":[123],"where":[124],"internal":[126],"frequencies":[127],"phase":[131,161],"similar":[133],"free":[136],"molecule,":[137],"ordered":[139],"can":[142],"used":[144],"T>(hvmax/12(2)\u00bdk)mol;":[146],"T>(hvlattice/2\u03c0k).":[147],"gas":[152],"imperfection":[153],"volume":[157],"discussed":[163],"equilibria":[165],"between":[166],"gaseous":[167],"phases.":[170],"volumes":[179,191],"second-order":[185],"effect.":[186],"evaluated":[196],"by":[197],"extension":[199],"Gruneisen's":[201],"equation":[202],"lattices.":[207],"good":[212],"agreement":[213],"available":[215],"experimental":[216],"data.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}