Theoretica chimica acta

, Volume 88, Issue 1, pp 13–27 | Cite as

The performance of energy extrapolation procedures in truncated averaged coupled-pair functionals

  • Jörg Jenderek
  • Christel M. Marian
Article

Summary

Energy extrapolation techniques in conjunction with individual configuration selection are applied to averaged coupled-pair functional expansions. In order to test the quality of this approach, benchmark calculations have been performed for N2, the open and ring forms of O3, and for the ground and several excited states of CuH and PdH. Reliable energy estimates are obtained for N2 and the two transition metal hydrides and spectroscopic properties are in close agreement with the values for the non-truncated expansions. In the case of O3 the perturbation corrections substantially underestimate the complete singles and doubles results. These deviations cancel to a large extent, however, in the calculated isomerization energy. The accuracy of the one-particle density matrix is examined by computing dipole moments for several electronic states of CuH and PdH. Deviations are significant in some cases. For the evaluation of properties the current approach requires modifications.

Key words

Averaged coupled-pair functionals Energy extrapolation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Gdanitz RJ, Ahlrichs R (1988) Chem Phys Lett 143:413Google Scholar
  2. 2.
    Gershgorn Z, Shavitt I (1968) Int J Quant Chem 2:751Google Scholar
  3. 3.
    Buenker RJ, Peyerimhoff SD (1974) Theoret Chim Acta 35:33Google Scholar
  4. 4.
    Buenker RJ, Peyerimhoff SD (1975) Theoret Chim Acta 39:217Google Scholar
  5. 5.
    Bauschlicher CW, Langhoff SR (1987) J Chem Phys 86:5595Google Scholar
  6. 6.
    Marian CM, Blomberg MRA, Siegbahn PEM (1989) J Chem Phys 91:3589Google Scholar
  7. 7.
    Bauschlicher CW, Langhoff SR, Komornicki A (1990) Theoret Chim Acta 77:263Google Scholar
  8. 8.
    Ahlrichs R, Scharf P (1988) Chem Phys Lett 143:501Google Scholar
  9. 9.
    MOLECULE-SWEDEN is an electronic structure program system written by Almlöf J, Bauschlicher CW, Blomberg MA, Chong DP, Heiberg A, Langhoff SR, Malmqvist PA, Rendell AP, Roos BO, Siegbahn PEM, Taylor PRGoogle Scholar
  10. 10.
    Pople JA, Seeger R, Krishnan R (1977) Int J Quant Chem; Quant Chem Symposia 11:149Google Scholar
  11. 11.
    Epstein DS (1926) Phys Rev 28:695Google Scholar
  12. 12.
    Nesbet RK (1955) Proc Roy Soc (London) 230:312Google Scholar
  13. 13.
    Jenderek J (1990) Diploma thesis, Univ of BonnGoogle Scholar
  14. 14.
    The original version of the MRD-CI programs was written by Buenker RJ, Butscher W, Kammer W, Peyerimhoff SD. The currently used system of programs was essentially expanded and modified by Buenker RJ, Chabalowski CF, Chandra P, Engels P, Ernzerhof M, Hirsch G, Heß BA, Jenderek J, Marian CM, Phillips RAGoogle Scholar
  15. 15.
    The interfaces were written by Ernzerhof M, Marian CMGoogle Scholar
  16. 16.
    Shepard R, Shavitt I, Pitzer RM, Comeau DC, Pepper M, Lischka H, Szalay PG, Ahlrichs R, Brown FB, Zhao J (1988) Int J Quant Chem; Quant Chem Symp 22:149Google Scholar
  17. 17.
    Werner HJ, Knowles PJ (1991) J Chem Phys 94:1264Google Scholar
  18. 18.
    Roos BO, Taylor PR, Siegbahn PEM (1980) Chem Phys 48:157Google Scholar
  19. 19.
    Cave RJ, Xantheas SS, Feller D (1992) Theoret Chim Acta 83:31Google Scholar
  20. 20.
    Murphy RB, Messmer RP (1992) J Chem Phys 97:4170Google Scholar
  21. 21.
    Marian CM (1991) J Chem Phys 94:5574Google Scholar
  22. 22.
    Marian CM (1990) J Chem Phys 93:1176Google Scholar
  23. 23.
    Lagerqvist A, Neuhaus H, Scullman R (1964) Proc Phys Soc 83Google Scholar
  24. 24.
    Balasubramanian K, Feng PY, Liao MZ (1987) J Chem Phys 87:3981Google Scholar
  25. 25.
    Rohlfing C, Hay PJ, Martin RL (1986) J Chem Phys 85:1447Google Scholar
  26. 26.
    Langhoff SR, Petterson LGM, Bauschlicher CW (1987) J Chem Phys 86:268Google Scholar
  27. 27.
    Heß BA (1992) Phys Rev A33:3742Google Scholar
  28. 28.
    Bauschlicher CW (1982) Chem Phys Lett 91:4Google Scholar
  29. 29.
    Engels B (1991) Chem Phys Lett 174:398Google Scholar
  30. 30.
    Banichevich A, Peyerimhoff SD, Chem Phys (in press)Google Scholar
  31. 31.
    Karlström G, Engström S, Jönson B (1978) Chem Phys Lett 57:390Google Scholar
  32. 32.
    Lee TJ (1990) Chem Phys Lett 169:529Google Scholar
  33. 33.
    Tanaka T, Morino Y (1969) J Mol Spectrosc 32:538Google Scholar
  34. 34.
    Almlöf J, Taylor PR (1987) J Chem Phys 86:4070Google Scholar
  35. 35.
    Shih SK, Buenker RJ, Peyerimhoff SD (1974) Chem Phys Lett 28:463Google Scholar
  36. 36.
    Burton PG (1979) J Chem Phys 71:961Google Scholar
  37. 37.
    Hay PJ, Dunning TH (1977) J Chem Phys 67:2290Google Scholar
  38. 38.
    Wilson CW Jr, Hopper DG (1981) J Chem Phys 74:595Google Scholar
  39. 39.
    Wright JS, Shih SK, Buenker RJ (1980) Chem Phys Lett 75:513Google Scholar
  40. 40.
    Jones RO (1985) J Chem Phys 82:325Google Scholar
  41. 41.
    Moscardó F, Andrias R, San-Fabián E (1988) Int J Quant Chem 34:375Google Scholar
  42. 42.
    JANAF Thermochemical Tables (1971) 2nd edn, WashingtonGoogle Scholar
  43. 43.
    Borowski P, Andersson K, Roos BO (1992) J Chem Phys 97:5568Google Scholar
  44. 44.
    Werner HJ, Knowles PJ (1988) J Chem Phys 89:5803Google Scholar
  45. 45.
    Siegbahn PEM. An internally contracted ACPF programGoogle Scholar
  46. 46.
    Werner HJ, Knowles PJ (1990) Theoret Chim Acta 78:175Google Scholar
  47. 47.
    Jackels CF, Shavitt I (1981) Theoret Chim Acta 58:81Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Jörg Jenderek
    • 1
  • Christel M. Marian
    • 1
  1. 1.Institute of Physical and Theoretical ChemistryUniversity of BonnBonnGermany

Personalised recommendations