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The method has the advantages of needing only to deal with a symmetry unique set of atomic orbitals (AO) integrals and transformation from unique atomic integrals to unique molecular integrals rather than with all of them. Hamiltonian matrix element is expressed by a linear combination of product terms of many\u2010center unique integrals and geometric factors. The group symmetry localized orbitals as atomic and molecular orbitals are a key feature of this algorithm. The method provides an alternative to traditional method that requires a table of coupling coefficients for products of the irreducible representations of the molecular point group. Geometric factors effectively eliminate these coupling coefficients. The saving of time and space in integral computations and transformations is analyzed. \u00a9 1994 by John Wiley &amp; Sons, Inc.<\/jats:p>","DOI":"10.1002\/jcc.540150807","type":"journal-article","created":{"date-parts":[[2005,1,2]],"date-time":"2005-01-02T01:06:06Z","timestamp":1104627966000},"page":"858-865","source":"Crossref","is-referenced-by-count":2,"title":["Study of localized molecular orbitals using group theory methods and its approach to the many\u2010electron correlation problem. IV. 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