Perturbation Theory of Intermolecular Forces at Short Range

Author(s):  
Anthony J. Stone

A new united atom perturbation theory of the interaction of two atoms at small separations is described. The key feature is a similarity transformation of the Schrödinger equation which enables the cusp conditions to be satisfied at both nuclei and preserves the correct molecular symmetry. The first-order theory is examined in detail and compared with other united atom theories. Numerical calculations are presented for the ground states of the systems H + 2 , HeH 2+ HeH, He 2 and Li + He, based mainly on Hartree-Fock wavefunctions for the united atoms, and are compared with accurate molecular calculations. The agreement is remarkably good for separations up to 1 bohr.


1957 ◽  
Vol 26 (1) ◽  
pp. 173-182 ◽  
Author(s):  
Edward A. Mason ◽  
Joseph O. Hirschfelder

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