Abstract
General expressions for the coefficients of the R -1 multipole expansion of the third and fourth-order interaction energies are derived in (pseudo) spectral form for the interaction of two S-state atoms. Explicit accurate results, for the H(ls)-H(ls) interaction, are obtained for the lead O(R -11) third-order energy and the lead O(R -12) fourth-order energy by using one centre pseudo state methods. These calculations, together with the appropriate second-order results, furnish an accurate expression for the total long-range interaction energy through O(R -12) and illustrate the applicability of the pseudo state approach for the evaluation of high-order interaction energies.
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