Computer-generated formulas for three-center nuclear-attraction integrals (electrostatic potential) for Slater-type orbitals

Abstract

The computer-assisted $C$-matrix, L\"owdin-alpha-function, single-center expansion method in spherical harmonics has been applied to the three-center nuclear-attraction integral (potential due to the product of separated Slater-type orbitals). Exact formulas are produced for 13 terms of an infinite series that permits evaluation to ten decimal digits of an example using $1s$ orbitals.