Analytical Evaluation of Multicenter Integrals of r12−1 with Slater-Type Atomic Orbitals VI. Asymptotic Expansions for Large Internuclear Distances

Asymptotic expansions valid for large internuclear distances are derived for the four-center integral of r12−1 with Slater-type atomic orbitals. In certain cases, the dominant part of the complete expansion is a multipole-moment-type expansion. The asymptotic formulas are simpler than the convergent formulas given previously, but some are not directly applicable when certain combinations of orbital exponents vanish.