Molecular One-and Two-Electron Integrals

Here the Z/ are the nuclear charges, r/ the electron-nuclear separations, ri2 the electron-electron separation and Ru the intemuclear separations. The summations are over all nuclei. The scalar term (1.4.42) represents the nuclear-repulsion eneigy - it is simply added to the Hamiltonian and makes the same contribution to matrix elements as in first quantization since the inner product of two ON vectors is identical to the overlap of the determinants. The molecular one- and two-electron integrals (1.4.40) and (1.4.41) may be calculated using the techniques described in Chapter 9. 

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