Benchmark values for two-center Coulomb integrals over slater-type orbitals
The Löwdin α‐function method, in which displaced orbitals are expanded in an infinite series of spherical harmonics, is implemented for Slater‐type orbitals using a commercial computer algebra program, Mathematica, The program, which is included, generates a C matrix with integer elements that chara...
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Veröffentlicht in: | International journal of quantum chemistry 1993, Vol.45 (1), p.21-30 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The Löwdin α‐function method, in which displaced orbitals are expanded in an infinite series of spherical harmonics, is implemented for Slater‐type orbitals using a commercial computer algebra program, Mathematica, The program, which is included, generates a C matrix with integer elements that characterizes our approach to multicenter molecular integrals. The general two‐center, two‐electron Coulomb repulsion integral is produced analytically with a finite number of terms. Each Coulomb formula may be evaluated to arbitrary precision, since Mathematica works with integer arithmetic. Hence, cancellation errors can be overcome. © 1993 John Wiley & Sons, Inc. |
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ISSN: | 0020-7608 1097-461X |
DOI: | 10.1002/qua.560450105 |