{"id":"https://openalex.org/W2102424461","doi":"https://doi.org/10.1142/s0219691313600084","title":"COMPLETE SPACE QUANTUM CHEMISTRY BY MULTIRESOLUTION MULTIWAVELET BASIS SET","display_name":"COMPLETE SPACE QUANTUM CHEMISTRY BY MULTIRESOLUTION MULTIWAVELET BASIS SET","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2102424461","doi":"https://doi.org/10.1142/s0219691313600084","mag":"2102424461"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691313600084","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691313600084","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},"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/A5056897020","display_name":"Hideo Sekino","orcid":null},"institutions":[{"id":"https://openalex.org/I136259955","display_name":"Toyohashi University of Technology","ror":"https://ror.org/04ezg6d83","country_code":"JP","type":"education","lineage":["https://openalex.org/I136259955"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"HIDEO SEKINO","raw_affiliation_strings":["Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan","institution_ids":["https://openalex.org/I136259955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031451127","display_name":"Akira Matsumura","orcid":"https://orcid.org/0000-0003-2634-6950"},"institutions":[{"id":"https://openalex.org/I136259955","display_name":"Toyohashi University of Technology","ror":"https://ror.org/04ezg6d83","country_code":"JP","type":"education","lineage":["https://openalex.org/I136259955"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"AKIRA MATSUMURA","raw_affiliation_strings":["Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan","institution_ids":["https://openalex.org/I136259955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046649870","display_name":"Yukina Yokoi","orcid":null},"institutions":[{"id":"https://openalex.org/I136259955","display_name":"Toyohashi University of Technology","ror":"https://ror.org/04ezg6d83","country_code":"JP","type":"education","lineage":["https://openalex.org/I136259955"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"YUKINA YOKOI","raw_affiliation_strings":["Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan","institution_ids":["https://openalex.org/I136259955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113459187","display_name":"Tetsuya Kato","orcid":null},"institutions":[{"id":"https://openalex.org/I136259955","display_name":"Toyohashi University of Technology","ror":"https://ror.org/04ezg6d83","country_code":"JP","type":"education","lineage":["https://openalex.org/I136259955"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"TETSUYA KATO","raw_affiliation_strings":["Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, Toyohashi University of Technology, 1-1, Hibarigaoka, Tenpakucho, Toyohashi, Aichi 441-8580, Japan","institution_ids":["https://openalex.org/I136259955"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I136259955"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.11150165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"11","issue":"04","first_page":"1360008","last_page":"1360008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10908","display_name":"Analytical Chemistry and Chromatography","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"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/T10908","display_name":"Analytical Chemistry and Chromatography","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical 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/T11472","display_name":"Analytical Chemistry and Sensors","score":0.9592000246047974,"subfield":{"id":"https://openalex.org/subfields/1502","display_name":"Bioengineering"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.8938338756561279},{"id":"https://openalex.org/keywords/basis-set","display_name":"Basis set","score":0.7841575145721436},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6733393669128418},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6571083664894104},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5914393663406372},{"id":"https://openalex.org/keywords/quantum-chemistry","display_name":"Quantum chemistry","score":0.5272473692893982},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47074469923973083},{"id":"https://openalex.org/keywords/quantum-chemical","display_name":"Quantum chemical","score":0.4502800703048706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4301382303237915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39874935150146484},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3951113820075989},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.30301231145858765},{"id":"https://openalex.org/keywords/molecule","display_name":"Molecule","score":0.2554953098297119},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20385468006134033},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.19915828108787537},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16773056983947754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15990197658538818}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.8938338756561279},{"id":"https://openalex.org/C65956243","wikidata":"https://www.wikidata.org/wiki/Q2664086","display_name":"Basis set","level":3,"score":0.7841575145721436},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6733393669128418},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6571083664894104},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5914393663406372},{"id":"https://openalex.org/C22994065","wikidata":"https://www.wikidata.org/wiki/Q188403","display_name":"Quantum chemistry","level":4,"score":0.5272473692893982},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47074469923973083},{"id":"https://openalex.org/C2991951333","wikidata":"https://www.wikidata.org/wiki/Q188403","display_name":"Quantum chemical","level":3,"score":0.4502800703048706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4301382303237915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39874935150146484},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3951113820075989},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.30301231145858765},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.2554953098297119},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20385468006134033},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.19915828108787537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16773056983947754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15990197658538818},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C93275456","wikidata":"https://www.wikidata.org/wiki/Q756449","display_name":"Supramolecular chemistry","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691313600084","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691313600084","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4137897772","display_name":"Highly efficient and highly accurate program for evaluation of optical property using MRMW","funder_award_id":"24550020","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1995051821","https://openalex.org/W2058191269","https://openalex.org/W2060005737","https://openalex.org/W2071069451","https://openalex.org/W2111450104","https://openalex.org/W2140045068","https://openalex.org/W2161203654"],"related_works":["https://openalex.org/W1975169757","https://openalex.org/W1969666510","https://openalex.org/W4360764649","https://openalex.org/W1980141609","https://openalex.org/W2901068867","https://openalex.org/W2038340369","https://openalex.org/W2744368048","https://openalex.org/W2734508814","https://openalex.org/W2370429843","https://openalex.org/W1975984482"],"abstract_inverted_index":{"Quantum":[0],"chemistry":[1],"program":[2],"based":[3,22],"on":[4,23],"Multiresolution":[5],"Multiwavelet":[6],"(MRMW)":[7],"basis":[8,25,52,72,90,109],"set":[9,26,91,110],"is":[10,46,114],"much":[11],"simpler":[12],"and":[13],"can":[14,54],"be":[15],"more":[16],"efficient":[17],"than":[18,98],"the":[19,32,39,56,68,77,86,89,106],"conventional":[20],"one":[21],"Gaussian":[24,51],"in":[27,94,111],"molecular":[28,65],"geometry":[29],"optimization":[30],"because":[31],"Hellmann":[33],"Fynman":[34],"Theorem":[35],"(HFT)":[36],"holds":[37],"for":[38,62,76],"complete":[40,108],"space":[41],"which":[42],"MRMW":[43,107],"provides.":[44],"It":[45],"numerically":[47],"shown":[48],"that":[49],"large":[50],"sets":[53],"provide":[55],"chemical":[57,60,101],"information":[58],"with":[59],"accuracy":[61],"very":[63],"small":[64,79],"systems":[66],"despite":[67],"incompleteness":[69,92],"of":[70,82,105],"their":[71],"set.":[73],"However,":[74],"even":[75],"relatively":[78],"size":[80],"molecule":[81],"CH":[83],"4":[84],",":[85],"error":[87,96],"from":[88],"results":[93],"an":[95,99],"larger":[97],"acceptable":[100],"accuracy.":[102],"The":[103],"advantage":[104],"vibrational":[112],"analysis":[113],"also":[115],"discussed.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}