Summary
An algorithm for utilising abelian point group symmetry in direct MP2 energy calculations is presented. This is based upon the direct MP2 method of Head-Gordon, Pople and Frisch. The method uses the petite atomic orbital integral list as in conventional transformations coupled with a symmetry adaption of the three quarter transformed integrals. Representative calculations for ethylene and benzene are presented which demonstrate the potential of the method.
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In fact, ifV>O the summation can be written slightly more efficiently by reversing the order of the middle two summations. However the order in (1) is more pertinent to the succeeding discussion
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Murray, C.W., Andrews, J.S. & Amos, R.D. The use of symmetry in direct Møller-Plesset second-order calculations. Theoret. Chim. Acta 86, 279–284 (1993). https://doi.org/10.1007/BF01130824
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DOI: https://doi.org/10.1007/BF01130824