On the Calculation of Some Atomic Integrals Containing Functions of r12, r13, and r23

Abstract
Different forms of correlated atomic wavefunctions and their implications on the integrals occurring in calculations of variational solution to Schrödinger's equation are briefly discussed. A scheme for computing the integral f1(r1)f2(r2)f3(r3)g1(r12)g2(r23)g3(r31)(dv) is described and applied to the case gi(rij) = rijk.