{"id":"https://openalex.org/W1970611573","doi":"https://doi.org/10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","title":"Rapid evaluation of two-center two-electron integrals","display_name":"Rapid evaluation of two-center two-electron integrals","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1970611573","doi":"https://doi.org/10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","mag":"1970611573"},"language":"en","primary_location":{"id":"doi:10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","pdf_url":null,"source":{"id":"https://openalex.org/S21117631","display_name":"Journal of Computational Chemistry","issn_l":"0192-8651","issn":["0192-8651","1096-987X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Chemistry","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/A5048687133","display_name":"Peter M. W. Gill","orcid":"https://orcid.org/0000-0003-1042-6331"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter M. W. Gill","raw_affiliation_strings":["School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom","School of Chemistry, University of Nottingham, Nottingham, NG7 2RD, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Chemistry, University of Nottingham, Nottingham, NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031268839","display_name":"Andrew T. B. Gilbert","orcid":"https://orcid.org/0000-0002-3530-4501"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew T. B. Gilbert","raw_affiliation_strings":["School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom","School of Chemistry, University of Nottingham, Nottingham, NG7 2RD, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Chemistry, University of Nottingham, Nottingham, NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111473154","display_name":"Terry Adams","orcid":"https://orcid.org/0009-0008-0334-2977"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Terry R. Adams","raw_affiliation_strings":["SGI Federal, 102 Central Park Square, MS 298, Los Alamos, New Mexico 87544"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SGI Federal, 102 Central Park Square, MS 298, Los Alamos, New Mexico 87544","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048687133"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":{"value":4840,"currency":"USD","value_usd":4840},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.05223029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"16","first_page":"1505","last_page":"1510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12039","display_name":"Electron and X-Ray Spectroscopy Techniques","score":0.9646000266075134,"subfield":{"id":"https://openalex.org/subfields/2508","display_name":"Surfaces, Coatings and Films"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9599999785423279,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.8283913731575012},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5325132012367249},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.5025832653045654},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4904281795024872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.473063588142395},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4478048086166382},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3535086512565613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1763530671596527},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16258403658866882},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12817102670669556}],"concepts":[{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.8283913731575012},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5325132012367249},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.5025832653045654},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4904281795024872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.473063588142395},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4478048086166382},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3535086512565613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1763530671596527},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16258403658866882},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12817102670669556},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1096-987x(200012)21:16<1505::aid-jcc7>3.0.co;2-4","pdf_url":null,"source":{"id":"https://openalex.org/S21117631","display_name":"Journal of Computational Chemistry","issn_l":"0192-8651","issn":["0192-8651","1096-987X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Chemistry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1666183800","https://openalex.org/W1972132066","https://openalex.org/W1973899958","https://openalex.org/W1974667766","https://openalex.org/W1981655171","https://openalex.org/W1987045601","https://openalex.org/W1987874655","https://openalex.org/W1995048030","https://openalex.org/W1997665321","https://openalex.org/W1998613997","https://openalex.org/W2001543152","https://openalex.org/W2002401010","https://openalex.org/W2016293616","https://openalex.org/W2016851069","https://openalex.org/W2020326413","https://openalex.org/W2025703188","https://openalex.org/W2027672700","https://openalex.org/W2029228724","https://openalex.org/W2037223803","https://openalex.org/W2044682544","https://openalex.org/W2044929560","https://openalex.org/W2054510591","https://openalex.org/W2055230539","https://openalex.org/W2057061175","https://openalex.org/W2057261183","https://openalex.org/W2072099189","https://openalex.org/W2075253710","https://openalex.org/W2082719796","https://openalex.org/W2082993877","https://openalex.org/W2083084761","https://openalex.org/W2083111536","https://openalex.org/W2083206954","https://openalex.org/W2087672213","https://openalex.org/W2088023640","https://openalex.org/W2095126010","https://openalex.org/W2109665034"],"related_works":["https://openalex.org/W1975169757","https://openalex.org/W2032475310","https://openalex.org/W1531525712","https://openalex.org/W1990592994","https://openalex.org/W2003466108","https://openalex.org/W4297818189","https://openalex.org/W3176846432","https://openalex.org/W2081131590","https://openalex.org/W2028701966","https://openalex.org/W2045641151"],"abstract_inverted_index":{"We":[0],"present":[1],"optimal":[2],"formulae":[3],"for":[4],"two-center":[5,21],"two-electron":[6],"replusion":[7],"integrals":[8],"(ERIs)":[9],"over":[10],"Cartesian":[11],"Gaussian":[12],"basis":[13],"functions.":[14],"Floating-point":[15],"operations":[16],"(flop)":[17],"counts":[18],"reveal":[19],"that":[20],"ERIs":[22],"are":[23],"often":[24],"an":[25],"order":[26],"of":[27],"magnitude":[28],"cheaper":[29],"than":[30],"their":[31],"four-center":[32],"analogues.":[33],"\u00a9":[34],"2000":[35,46],"John":[36],"Wiley":[37],"&":[38],"Sons,":[39],"Inc.":[40],"J":[41],"Comput":[42],"Chem":[43],"21:":[44],"1505\u20131510,":[45]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}