Skip to main content
Log in

A CSF-based multireference coupled pair approximation

II. As a size consistent method in the scheme of multireference singly and doubly excited configuration interaction

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Summary

MRCPA (multireference coupled pair approximation) is formulated by the use of the wave operator formalism and Rayleigh-Schrödiner perturbation theory with special selection of the unperturbed part of the electronic Hamiltonian. By considering super molecule, it is shown that the theory is size consistent with the help of the new formalism. The method has been tested for three simple systems, H2O, FH, and O2.

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. Löwdin PO (1957) Adv Chem Phys 2:207–322

    Google Scholar 

  2. Wilson S (1984) Electron correlation in molecules. Clarendon, Oxford

    Google Scholar 

  3. Shavitt I (1977) The method of configuration interaction. In: Schaefer III HF (ed) Methods of electronic structure theory, vol 3. Plenum, NY, p 189–276

    Google Scholar 

  4. Roos BO, Siegbahn PEM (1977) The direct configuration interaction method from molecular integrals. In: Schaefer III HF (ed) Methods of electronic structure theory, vol 3. Plenum, NY, p 277–318

    Google Scholar 

  5. Paldus J (1974) J Chem Phys 61:5321–5330

    Google Scholar 

  6. Shavitt I (1978) Int J Quantum Chem S11:131–148

    Google Scholar 

  7. Davidson ER (1974) Int J Quantum Chem VII:83–89

    Google Scholar 

  8. Buenker RJ, Peyerimhoff SD (1975) Theoret Chim Acta 35:33–58, ibid 39:217–228

    Google Scholar 

  9. Liu B, Yoshimine M (1981) J Chem Phys 74:612–616

    Google Scholar 

  10. Knowles PJ, Handy NC (1984) Chem Phys Lett 111:315–321

    Google Scholar 

  11. Sasaki F, Tanaka K, Noro T, Togasi M, Nomura T, Sekiya M, Gonoi T, Ohno K (1987) Theoret Chim Acta 72:123–138

    Google Scholar 

  12. Werner HJ, Knowles PJ (1988) J Chem Phys 89:5803–5814

    Google Scholar 

  13. Bartlett RJ (1981) Ann Rev Phys Chem 32:359–401

    Google Scholar 

  14. Urban M, Cernusak I, Kellö V, Noga J (1987) Electron correlation in molecules. In: Wilson S (ed) Methods in Computational Chemistry, vol 1. Plenum, NY

    Google Scholar 

  15. Langhoff SR, Davidson ER (1974) Int J Quantum Chem VIII:61–72; Davidson ER, Silver DW (1977) Chem Phys Lett 52:403–406

    Google Scholar 

  16. Buenker RJ, Shih SK, Peyerimhoff SD (1979) Chem Phys 36:97–112

    Google Scholar 

  17. Bauschlicher CW Jr, Langhoff SR, Taylor PR, Handy NC, Knowles PJ (1986) J Chem Phys 85:1469–1474

    Google Scholar 

  18. Bauschlicher CW Jr, Taylor PR (1986) Chem Phys 85:6510–6512; (1987) ibid 86:1420–1424, (1987) Theoret Chim Acta 71:263–276

    Google Scholar 

  19. Knowles DB, Alvarez-Collado JR, Hirsch G, Buenker RJ (1990) J Chem Phys 92:585–596

    Google Scholar 

  20. Cizek J (1966) J Chem Phys 45:4256–4266; (1969) Adv Chem Phys 14:35–91

    Google Scholar 

  21. Meyer W (1971) Int J Quantum Chem S5:341–348; (1972) J Chem Phys 58:1017–1035; (1977) Configuration expansion by means of pseudonatural orbitals. In: Schaefer III HF (ed) Methods of electronic structure theory, vol 3. Plenum, NY, p 413–446

    Google Scholar 

  22. Hurley AC (1976) Electron correlation in small molecules, Academic, NY

    Google Scholar 

  23. Kutzelnigg W (1977) Pair correlation theories. In: Schaefer III HF (ed) Methods of electronic structure theory, vol 3. Plenum, NY, p 129–188

    Google Scholar 

  24. Ahlrichs R (1979) Comput Phys Comm 17:31–45

    Google Scholar 

  25. Brandow BH (1967) Rev Modern Phys 39:771–828

    Google Scholar 

  26. Lingren I (1974) J Phys B (London) 7:2441–2470

    Google Scholar 

  27. Hose G, Kaldor U (1979) J Phys B (London) 12:3827–3855

    Google Scholar 

  28. Shavitt I, Redmon LT (1980) J Chem Phys 83:5711–5717

    Google Scholar 

  29. Jeziorski B, Monkhorst HJ (1981) Phys Rev A24:1668–1681

    Google Scholar 

  30. Lindgren I (1978) Int J Quanum Chem S12:33–58

    Google Scholar 

  31. Mukherjee D (1986) Chem Phys Lett 125:207–212

    Google Scholar 

  32. Nakatsuji H (1985) J Chem Phys 83:713–722

    Google Scholar 

  33. Lindgren I, Mukherjee D (1987) Phys Rep 151:93–127

    Google Scholar 

  34. Meissner L, Jankowski K, and Wasilewski J (1988) Int J Quantum Chem XXXIV:535–557

    Google Scholar 

  35. Kutzelnigg W (1988) Quantum chemistry in Fock space. In: Mukherjee D (ed) Aspects of many-body effects in molecules and extended systems. Lecture Notes in Chemistry, vol 50. Springer-Verlag, Berlin, NY, p 35–67

    Google Scholar 

  36. Mukherjee D, Pal S (1989) Adv Quantum Chem 20:291–373

    Google Scholar 

  37. Baker H and Robb MA (1983) Mol Phys 50:1077–1082

    Google Scholar 

  38. Banerjee A, Simons J (1981) Int J Quantum Chem 19:207–216; (1982) J Chem Phys 76:4548–4559

    Google Scholar 

  39. Laidig WD, Bartlett RJ (1984) Chem Phys Lett 104:424–430; Laidig WD, Saxe P, Bartlett RJ (1987) J Chem Phys 86:887–907

    Google Scholar 

  40. Tanaka K and Terashima H (1984) Chem Phys Lett 106:558–562

    Google Scholar 

  41. Hoffmann MR and Simons J (1989) J Chem Phys 90:3671–3679

    Google Scholar 

  42. Ruttink PJA, van Lenthe JH, Zwaans R, Groenenboom GC (1991) J Chem Phys 94:7212–7220

    Google Scholar 

  43. Gdanitz RJ, Ahlrichs R (1988) Chem Phys Lett 143:413–420

    Google Scholar 

  44. Cave RJ, Davidson ER (1988) J Chem Phys 89:6798–6814; (1988) ibid 88:5770–5778

    Google Scholar 

  45. Tanaka K, Sakai T, Terashima H (1989) Theoret Chim Acta 76:213–225

    Google Scholar 

  46. Kutzelnigg W (1975) Chem Phys Lett 35:283–285

    Google Scholar 

  47. Primas H (1965) Separability in Many-electron systems. In: Sinanoglu O (ed) Modern Quantum Chemistry Part II, Academic, NY, p 33–74

    Google Scholar 

  48. Kvasnicka V (1977) Adv Chem Phys 36:345–412

    Google Scholar 

  49. Saxe P, Schaefer III HF, Handy NC (1981) Chem Phys Lett 79:202–204

    Google Scholar 

  50. Bauschlicher CW Jr, Langhoff SR (1987) J Chem Phys 86:5595–5599

    Google Scholar 

  51. Kashiwagi H, Takada T, Miyoshi E, Obara S, Sasaki F (1977) Library program of the computer center of Institute for Molecular Science. Okazaki, Japan

  52. Murakami A, Iwaki H, Terashima H, Shoda T, Kawaguchi T, Noro T (1985) Library program of the computing center. Hokkaido Univ, Sapporo, Japan

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sakai, T., Tanaka, K. A CSF-based multireference coupled pair approximation. Theoret. Chim. Acta 85, 451–461 (1993). https://doi.org/10.1007/BF01112984

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01112984

Key words

Navigation