Abstract

We report on the use of Rys numerical quadrature for the calculation of two-electron exchange integrals containing two Gaussians and two plane-wave functions, and two-electron integrals containing three Gaussians and one plane-wave function. Generally, the Rys polynomials for this mixed basis set are complex. We present formulas for obtaining their roots and weights that are also generally complex. Rys numerical quadrature provides an alternative method for calculation of integrals of this type that are encountered in the electron–molecule scattering theory.

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