{"id":"https://openalex.org/W2045810892","doi":"https://doi.org/10.1063/1.434292","title":"Statistical phase space theory of polyatomic systems: Rigorous energy and angular momentum conservation in reactions involving symmetric polyatomic species","display_name":"Statistical phase space theory of polyatomic systems: Rigorous energy and angular momentum conservation in reactions involving symmetric polyatomic species","publication_year":1977,"publication_date":"1977-03-15","ids":{"openalex":"https://openalex.org/W2045810892","doi":"https://doi.org/10.1063/1.434292","mag":"2045810892"},"language":"en","primary_location":{"id":"doi:10.1063/1.434292","doi":"https://doi.org/10.1063/1.434292","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.434292","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/A5001476498","display_name":"Walter J. Chesnavich","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Walter J. Chesnavich","raw_affiliation_strings":["Department of Chemistry, University of California, Santa Barbara, California 93106"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of California, Santa Barbara, California 93106","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033847316","display_name":"Michael T. Bowers","orcid":"https://orcid.org/0000-0002-0260-7178","observed_orcids":["https://orcid.org/0000-0002-0260-7178"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael T. Bowers","raw_affiliation_strings":["Department of Chemistry, University of California, Santa Barbara, California 93106"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of California, Santa Barbara, California 93106","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":3.4069,"has_fulltext":false,"cited_by_count":218,"citation_normalized_percentile":{"value":0.92297236,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"6","first_page":"2306","last_page":"2315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.9502000212669373,"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"}},"topics":[{"id":"https://openalex.org/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.9502000212669373,"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"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.013799999840557575,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.007899999618530273,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyatomic-molecules","display_name":"polyatomic molecules","score":0.9919999837875366},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.6499999761581421},{"id":"https://openalex.org/keywords/conservation-of-angular-momentum","display_name":"angular momentum conservation","score":1.0},{"id":"https://openalex.org/keywords/bimolecular-reactions","display_name":"bimolecular reactions","score":0.8830000162124634},{"id":"https://openalex.org/keywords/spherical-top","display_name":"spherical top","score":0.7870000004768372},{"id":"https://openalex.org/keywords/symmetric-top","display_name":"symmetric top","score":0.7889999747276306},{"id":"https://openalex.org/keywords/linear-molecules","display_name":"linear molecules","score":0.6039999723434448},{"id":"https://openalex.org/keywords/prolateness","display_name":"prolateness","score":0.8600000143051147},{"id":"https://openalex.org/keywords/classical-statistical-mechanics","display_name":"classical statistical mechanics","score":0.6140000224113464}],"concepts":[{"id":"https://openalex.org/C66594872","wikidata":"https://www.wikidata.org/wiki/Q1064242","display_name":"Polyatomic ion","level":3,"score":0.9138095378875732},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.837131917476654},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.679540753364563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5761083960533142},{"id":"https://openalex.org/C45193367","wikidata":"https://www.wikidata.org/wiki/Q1141095","display_name":"Total angular momentum quantum number","level":3,"score":0.540296196937561},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5092614889144897},{"id":"https://openalex.org/C169146920","wikidata":"https://www.wikidata.org/wiki/Q2140940","display_name":"Rotational energy","level":2,"score":0.49202820658683777},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.49030187726020813},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44628262519836426},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.3900367319583893},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.35817965865135193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.060470134019851685},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.434292","doi":"https://doi.org/10.1063/1.434292","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.434292","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":[{"display_name":"Life on land","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/15"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1548068031","https://openalex.org/W1967441190","https://openalex.org/W1969641628","https://openalex.org/W1969809918","https://openalex.org/W1974817600","https://openalex.org/W1978496693","https://openalex.org/W1981454319","https://openalex.org/W1985187669","https://openalex.org/W1990354511","https://openalex.org/W1993845086","https://openalex.org/W1993892763","https://openalex.org/W1994142683","https://openalex.org/W1998162823","https://openalex.org/W1998803682","https://openalex.org/W2000283599","https://openalex.org/W2005128951","https://openalex.org/W2007043751","https://openalex.org/W2007753539","https://openalex.org/W2008480228","https://openalex.org/W2035790504","https://openalex.org/W2038628014","https://openalex.org/W2041717098","https://openalex.org/W2044308396","https://openalex.org/W2048264410","https://openalex.org/W2052846936","https://openalex.org/W2057980421","https://openalex.org/W2072705911","https://openalex.org/W2079130162","https://openalex.org/W2089156781","https://openalex.org/W2093428889","https://openalex.org/W2094168081","https://openalex.org/W2157005274","https://openalex.org/W2176832550"],"related_works":["https://openalex.org/W2049031896","https://openalex.org/W2997008104","https://openalex.org/W1987908834","https://openalex.org/W3171981386","https://openalex.org/W2068685691","https://openalex.org/W1995454216","https://openalex.org/W2029705533","https://openalex.org/W2023001049","https://openalex.org/W2142324366","https://openalex.org/W2952811116"],"abstract_inverted_index":{"Classical":[0],"formulas":[1,50],"for":[2,65,81],"the":[3,49,105,109],"sum":[4],"and":[5,9,26,85,116],"density":[6],"of":[7,13],"rotational":[8,82],"rotational\u2013orbital":[10],"states":[11],"pairs":[12],"polyatomic":[14,69],"molecules":[15],"are":[16,101,118],"derived":[17,91],"using":[18,94],"a":[19,34,41],"geometrical":[20],"approach":[21],"that":[22,103],"rigorously":[23],"conserves":[24],"energy":[25],"angular":[27],"momentum.":[28],"The":[29],"pair":[30],"combinations":[31],"considered":[32],"include":[33],"spherical":[35],"top":[36,46],"in":[37,108],"combination":[38],"with":[39],"either":[40],"linear,":[42],"spherical,":[43],"or":[44,87],"symmetric":[45],"molecule.":[47],"With":[48],"presented":[51],"here":[52],"it":[53],"is":[54],"possible":[55],"to":[56,77,88],"perform":[57],"exact":[58],"classical":[59,79],"statistical":[60],"phase":[61,97,111],"space":[62,98,112],"theory":[63],"calculations":[64],"bimolecular":[66],"reactions":[67],"involving":[68],"molecules.":[70],"In":[71],"suitable":[72],"limits":[73],"our":[74],"results":[75],"reduce":[76],"well-known":[78],"expressions":[80],"state":[83],"densities":[84],"sums":[86],"equations":[89],"previously":[90],"by":[92,113],"Klots":[93],"an":[95],"aprroximate":[96],"approach.":[99],"Calculations":[100],"given":[102],"demonstrate":[104],"distortions":[106],"produced":[107],"system":[110],"molecular":[114],"oblateness":[115],"prolateness":[117],"usually":[119],"small.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}