Expansion formulae for one- and two-center charge densities over complete orthonormal sets of exponential type orbitals and their use in evaluation of multicenter-multielectron integrals

dc.creatorGuseinov, I. I.
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:37:18Z
dc.date.available2026-07-07T12:37:18Z
dc.descriptionThe series expansion formulae are established for the one- and two-center charge densities over complete orthonormal sets of exponential type orbitals introduced by the author. Three-center overlap integrals of appearing in these relations are expressed through the two-center overlap integrals between -orbitals. The general formulae obtained for the charge densities are utilized for the evaluation of arbitrary multicenter-multielectron integrals occurring when the complete orthonormal sets of exponential type orbitals are used as basis functions in the Hartree-Fock-Roothaan and explicitly correlated methods. The relationships for charge densities and multicenter-multielectron integrals obtained are valid for the arbitrary quantum numbers, screening constants and location of orbitals.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0902.0509
dc.identifierhttp://arxiv.org/abs/0902.0509
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218393
dc.subjectChemical Physics
dc.titleExpansion formulae for one- and two-center charge densities over complete orthonormal sets of exponential type orbitals and their use in evaluation of multicenter-multielectron integrals
dc.typetext

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