Skip to main content
Log in

The use of symmetry in direct Møller-Plesset second-order calculations

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Almlöf J, Faegri K, Korsell K (1982) J Comput Chem 3:385

    Google Scholar 

  2. Häser M, Ahlrichs R (1989) J Comput Chem 10:104

    Google Scholar 

  3. Price SL, Harrison RJ, Guest MF (1989) J Comput Chem 10:552

    Google Scholar 

  4. Obara S, Saika A (1986) J Chem Phys 84:3963

    Google Scholar 

  5. Head-Gordon M, Pople JA (1988) J Chem Phys 89:5777

    Google Scholar 

  6. Møller C, Plesset MS (1934) Phys Rev 46:618

    Google Scholar 

  7. Head-Gordon M, Pople JA, Frisch MJ (1989) Chem Phys Lett 153:503

    Google Scholar 

  8. Sæbø S, Almlöf J (1989) Chem Phys Lett 154:83

    Google Scholar 

  9. Frisch MJ, Head-Gordon M, Pople JA (1990) Chem Phys Lett 166:275

    Google Scholar 

  10. Frisch MJ, Head-Gordon M, Pople JA (1990) Chem Phys Lett 166:281

    Google Scholar 

  11. 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

  12. Hehre WJ, Radom L, Schleyer PvR, Pople JA (1986)Ab initio molecular orbital theory. Wiley-Interscience, NY

    Google Scholar 

  13. Bone RGA, Murray CW, Amos RD, Handy NC (1989) Chem Phys Lett 161:166

    Google Scholar 

  14. Handy NC, Maslen PE, Amos RD, Andrews JS, Murray CW, Laming GL (1992) Chem Phys Lett 197:506

    Google Scholar 

  15. Dupuis M, King HF (1977) Int J Quantum Chem 11:613

    Google Scholar 

  16. Pitzer RM (1973) J Chem Phys 59:3308

    Google Scholar 

  17. Amos RD, Rice JE (1989) Comp Phys Rep 10:147

    Google Scholar 

  18. Amos RD, Alberts IL, Andrews JS, Colwell SM, Handy NC, Jayatilaka D, Knowles PJ, Kobayashi R, Koga N, Laidig KE, Maslen PE, Murray CW, Rice JE, Sanz J, Simandiras ED, Stone AJ, Su MD (1992) CADPAC5: The Cambridge Analytic Derivatives Package Issue 5 (Cambridge)

  19. Häser M, Almlöf J, Feyereisen W (1991) Theor Chim Acta 79:115

    Google Scholar 

  20. Almlöf J (1974) Int J Quantum Chem 8:915

    Google Scholar 

  21. Takada T, Sasaki F (1980) Int J Quantum Chem 18:1157

    Google Scholar 

  22. Murray CW (1989) PhD Thesis. Cambridge University

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01130824

Key words

Navigation