Analytic Evaluation of Three Different Five-Electron Atomic Integrals Involving Exponentially Correlated Functions of $r_{ij}$ With $r_{ij}$'s Not Forming A Closed Loop

Bholanath Padhy

paper

Analytic Evaluation of Three Different Five-Electron Atomic Integrals Involving Exponentially Correlated Functions of $r_{ij}$ With $r_{ij}$ 's Not Forming A Closed Loop

arXiv:1609.00112

Abstract

The simple method outlined in our earlier paper [B.Padhy, Orissa Journal of Physics, vol.19, No.1, p.1, February 2012] has been utilized here for analytic evaluation of three different five-electron atomic integrals with integrands involving products of s Slater-type orbitals and exponentially correlated functions of the form $r_{ij} e x p (- λ_{ij} r_{ij})$ . Only products of those $r_{ij}$ 's which do not form a closed loop by themselves, are considered.

7 pages

Analytic Evaluation of Three Different Five-Electron Atomic Integrals Involving Exponentially Correlated Functions of rij​ With rij​'s Not Forming A Closed Loop

Abstract

Analytic Evaluation of Three Different Five-Electron Atomic Integrals Involving Exponentially Correlated Functions of $r_{ij}$ With $r_{ij}$ 's Not Forming A Closed Loop