The strategy of using expansions in spherical harmonics of displaced Slater-type orbitals for the evaluation of multicenter molecular integrals is reviewed and projected. Our Löwdin alpha-function method is augmented by computer algebra and C, E, and F matrices with rational elements. This permits exact evaluations of each term in an infinite sum using a commercial computer algebra program to investigate the three-center nuclear attraction integral. Each term (harmonic potential) is important for proposed use in numerical evaluations of multicenter integrals.
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