Abstract

The second-order energy expression from Hirschfelder–Silbey perturbation theory is rewritten in a form which facilitates a comparison with the conventional Rayleigh–Schrödinger theory. It is shown that the approximate procedure used by McQuarrie and Hirschfelder to evaluate the second-order energy for the 1sσg and 2pσu states of H2+ is equivalent to approximating the first-order Rayleigh–Schrödinger function by a symmetry-projected combination of unsymmetric polarization functions. The addition of a correction term to the values calculated by McQuarrie and Hirschfelder leads to substantial improvement of their results.

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