Formulas and numerical table for the radial part of overlap integrals with the same screening parameters of Slater-type orbitals

Abstract

The numerical properties of the radial part of overlap integrals with the same screening parameters in the form of polynomials in p = xiR over Slater-type orbitals have been studied and obtained by using three different methods. For that purpose, the characteristics of auxiliary functions were used first, then Fourier transform convolution theorem, and recurrence relations for the basic coefficients of A(nl lambda ,n'l'lambda)(s) were used. The calculations of the radial part of overlap integrals with the same screening parameters were made in the range 1 less than or equal to n less than or equal to 75, 1 less than or equal to n' less than or equal to 75, and 10(-6) less than or equal to p.