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Breakdown of the single-exchange approximation in third-order symmetry-adapted perturbation theory

K. U. Lao and J. M. Herbert
J. Phys. Chem. A 116, 3042–3047 (2012)

Abstract

We report third-order symmetry-adapted perturbation theory (SAPT) calculations for several dimers whose intermolecular interactions are dominated by induction. We demonstrate that the single-exchange approximation (SEA) employed to derive the third-order exchange–induction correction (E(30)exch-ind) fails to quench the attractive nature of the third-order induction (E(30)ind), leading to one-dimensional potential curves that become attractive rather than repulsive at short intermolecular separations. A scaling equation for E(30)exch-ind, based on an exact formula for the first-order exchange correction, is introduced to approximate exchange effects beyond the SEA, and qualitatively correct potential energy curves that include third-order induction are thereby obtained. For induction-dominated systems, our results indicate that a "hybrid" SAPT approach, in which a dimer Hartree-Fock calculation is performed in order to obtain a correction for higher-order induction, is necessary not only to obtain quantitative binding energies but also to obtain qualitatively-correct potential energy surfaces. These results underscore the need to develop higher-order exchange–induction formulas that go beyond the SEA.

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