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.
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References
Löwdin PO (1957) Adv Chem Phys 2:207–322
Wilson S (1984) Electron correlation in molecules. Clarendon, Oxford
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
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
Paldus J (1974) J Chem Phys 61:5321–5330
Shavitt I (1978) Int J Quantum Chem S11:131–148
Davidson ER (1974) Int J Quantum Chem VII:83–89
Buenker RJ, Peyerimhoff SD (1975) Theoret Chim Acta 35:33–58, ibid 39:217–228
Liu B, Yoshimine M (1981) J Chem Phys 74:612–616
Knowles PJ, Handy NC (1984) Chem Phys Lett 111:315–321
Sasaki F, Tanaka K, Noro T, Togasi M, Nomura T, Sekiya M, Gonoi T, Ohno K (1987) Theoret Chim Acta 72:123–138
Werner HJ, Knowles PJ (1988) J Chem Phys 89:5803–5814
Bartlett RJ (1981) Ann Rev Phys Chem 32:359–401
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
Langhoff SR, Davidson ER (1974) Int J Quantum Chem VIII:61–72; Davidson ER, Silver DW (1977) Chem Phys Lett 52:403–406
Buenker RJ, Shih SK, Peyerimhoff SD (1979) Chem Phys 36:97–112
Bauschlicher CW Jr, Langhoff SR, Taylor PR, Handy NC, Knowles PJ (1986) J Chem Phys 85:1469–1474
Bauschlicher CW Jr, Taylor PR (1986) Chem Phys 85:6510–6512; (1987) ibid 86:1420–1424, (1987) Theoret Chim Acta 71:263–276
Knowles DB, Alvarez-Collado JR, Hirsch G, Buenker RJ (1990) J Chem Phys 92:585–596
Cizek J (1966) J Chem Phys 45:4256–4266; (1969) Adv Chem Phys 14:35–91
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
Hurley AC (1976) Electron correlation in small molecules, Academic, NY
Kutzelnigg W (1977) Pair correlation theories. In: Schaefer III HF (ed) Methods of electronic structure theory, vol 3. Plenum, NY, p 129–188
Ahlrichs R (1979) Comput Phys Comm 17:31–45
Brandow BH (1967) Rev Modern Phys 39:771–828
Lingren I (1974) J Phys B (London) 7:2441–2470
Hose G, Kaldor U (1979) J Phys B (London) 12:3827–3855
Shavitt I, Redmon LT (1980) J Chem Phys 83:5711–5717
Jeziorski B, Monkhorst HJ (1981) Phys Rev A24:1668–1681
Lindgren I (1978) Int J Quanum Chem S12:33–58
Mukherjee D (1986) Chem Phys Lett 125:207–212
Nakatsuji H (1985) J Chem Phys 83:713–722
Lindgren I, Mukherjee D (1987) Phys Rep 151:93–127
Meissner L, Jankowski K, and Wasilewski J (1988) Int J Quantum Chem XXXIV:535–557
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
Mukherjee D, Pal S (1989) Adv Quantum Chem 20:291–373
Baker H and Robb MA (1983) Mol Phys 50:1077–1082
Banerjee A, Simons J (1981) Int J Quantum Chem 19:207–216; (1982) J Chem Phys 76:4548–4559
Laidig WD, Bartlett RJ (1984) Chem Phys Lett 104:424–430; Laidig WD, Saxe P, Bartlett RJ (1987) J Chem Phys 86:887–907
Tanaka K and Terashima H (1984) Chem Phys Lett 106:558–562
Hoffmann MR and Simons J (1989) J Chem Phys 90:3671–3679
Ruttink PJA, van Lenthe JH, Zwaans R, Groenenboom GC (1991) J Chem Phys 94:7212–7220
Gdanitz RJ, Ahlrichs R (1988) Chem Phys Lett 143:413–420
Cave RJ, Davidson ER (1988) J Chem Phys 89:6798–6814; (1988) ibid 88:5770–5778
Tanaka K, Sakai T, Terashima H (1989) Theoret Chim Acta 76:213–225
Kutzelnigg W (1975) Chem Phys Lett 35:283–285
Primas H (1965) Separability in Many-electron systems. In: Sinanoglu O (ed) Modern Quantum Chemistry Part II, Academic, NY, p 33–74
Kvasnicka V (1977) Adv Chem Phys 36:345–412
Saxe P, Schaefer III HF, Handy NC (1981) Chem Phys Lett 79:202–204
Bauschlicher CW Jr, Langhoff SR (1987) J Chem Phys 86:5595–5599
Kashiwagi H, Takada T, Miyoshi E, Obara S, Sasaki F (1977) Library program of the computer center of Institute for Molecular Science. Okazaki, Japan
Murakami A, Iwaki H, Terashima H, Shoda T, Kawaguchi T, Noro T (1985) Library program of the computing center. Hokkaido Univ, Sapporo, Japan
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Sakai, T., Tanaka, K. A CSF-based multireference coupled pair approximation. Theoret. Chim. Acta 85, 451–461 (1993). https://doi.org/10.1007/BF01112984
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DOI: https://doi.org/10.1007/BF01112984