{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,24]],"date-time":"2024-08-24T23:10:00Z","timestamp":1724541000740},"reference-count":23,"publisher":"Wiley","issue":"8","license":[{"start":{"date-parts":[[2004,9,7]],"date-time":"2004-09-07T00:00:00Z","timestamp":1094515200000},"content-version":"vor","delay-in-days":4055,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Comput Chem"],"published-print":{"date-parts":[[1993,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A general procedure is presented for generating one\u2010electron integrals over any arbitrary potential operator that is a function of radial distance only. The procedure outlines that for a nucleus centered at point <jats:italic>C<\/jats:italic> integrals over Cartesian Gaussians can be written as linear combinations of 1\u2010D integrals. These Cartesian Gaussian functions are expressed in a compact form involving easily computed auxiliary functions. It is well known that integrals over the Coulomb operator can be expressed in terms of <jats:italic>F<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>T<\/jats:italic>) integrals, where\n<jats:disp-formula>\n\n<\/jats:disp-formula>\nBy means of a substitution for <jats:italic>F<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>T<\/jats:italic>) by other simple functions, algorithms that form integrals over an arbitrary function can be generated. Formation of such integrals is accomplished with minor editing of existing code based on the McMurchie\u2013Davidson formalism. Further, the method is applied using the inverse\u2010square distance and Yukawa potential operators <jats:italic>V<\/jats:italic>(<jats:italic>r<\/jats:italic>) over Cartesian Gaussian functions. Thus, the proposed methodology covers a large class of one\u2010electron integrals necessary for theoretical studies of molecular systems by <jats:italic>ab initio<\/jats:italic> calculations. Finally, by virtue of the procedure's recursive nature it provides us with an efficient scheme of computing the proposed class of one\u2010electron integrals. \u00a9 1993 John Wiley &amp; Sons, Inc.<\/jats:p>","DOI":"10.1002\/jcc.540140814","type":"journal-article","created":{"date-parts":[[2005,1,2]],"date-time":"2005-01-02T01:02:31Z","timestamp":1104627751000},"page":"986-994","source":"Crossref","is-referenced-by-count":7,"title":["Evaluation of one\u2010electron integrals for arbitrary operators <i>V<\/i>(<i>r<\/i>) over Cartesian Gaussians: Application to inverse\u2010square distance and Yukawa operators"],"prefix":"10.1002","volume":"14","author":[{"given":"James O.","family":"Jensen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arthur H.","family":"Carrieri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Constantine P.","family":"Vlahacos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Zeroka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hendrik F.","family":"Hameka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Clifton N.","family":"Merrow","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,9,7]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1950.0036"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(78)90092-X"},{"key":"e_1_2_1_3_3","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(81)90053-X"},{"key":"e_1_2_1_4_2","first-page":"1","volume-title":"Methods in Computational Physics","author":"Shavitt I.","year":"1963"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.455553"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.450106"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.455717"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.540110113"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.432900"},{"key":"e_1_2_1_10_2","first-page":"48","volume":"17","author":"Yukawa H.","year":"1935","journal-title":"Proc. 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