Unified analytical treatment of multicentre electron attraction, electric field and electric field gradient integrals over Slater orbitals


Guseinov I.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.37, no.3, pp.957-964, 2004 (SCI-Expanded) identifier identifier

Abstract

The new central and noncentral potential functions (CPFs and NCPFs) of a molecule depending on the coordinates of the nuclei are introduced. Using complete orthonormal sets of Psi(alpha)-exponential-type orbitals (Psi(alpha)-ETOs) introduced by the author, the series expansion formulae for the multicentre electronic attraction (EA), electric field (EF) and electric field gradient (EFG) integrals over Slater-type orbitals (STOs) in terms of CPFs and NCPFs are derived. The relationships obtained are valid for the arbitrary location, quantum numbers and screening constants of STOs.