Unified analytical treatment of one- and two-electron multicenter integrals with Slater-type orbitals

With the use of formulas given by the author for the expansion of Slater-type orbitals (STO’s) in terms of STO’s at a new origin [I.I. Guseinov, Phys. Rev. A 31, 2851 (1985)], one- and two-electron multicenter integrals of $r^{\mu \mathrm{-}1}$ $e^{\mathrm{-}\kappa r}$ $S_{\nu \sigma }$(θ,cphi) for q=R and $r^{\mu \mathrm{-}1}$ $e^{\mathrm{-}\kappa r}$ $Y_{\nu \sigma }$(θ,cphi) for q=C are expressed in terms of the overlap integrals. The analytical formulas used for the evaluation of these integrals have recently been established by the author [I.I. Guseinov, J. Mol. Sci. (China), 5 (2) (1987)]. The relationships obtained are valid for general values of the STO parameters and for μ≥-(ν+1) and κ≥0.