Summary
The results of various quantum chemical calculations, the Hartree-Fock (HF) method, the Møller-Plesset perturbation theory (MP2), and the Hartree-Fock-Slater (HFS) method are compared. Atomic charges, dipole moments, topological properties of the electron density distribution and polarizabilities, and first hyperpolarizabilities are calculated. Atomic charges obtained with the HFS method are found to be very close to those calculated with the MP2 method, from which we conclude that the HFS method describes to some extent electron correlation effects. Performing an MP2 calculation after an HF calculation improves the molecular dipole moments considerably, yielding values close to the experimental ones. HFS calculations are computationally less demanding than MP2 and yield comparable results for the electron density distributions, dipole moments and polarizabilities.
Similar content being viewed by others
References
Cook M, Karplus M (1987) J Phys Chem 91:31
Dreizler RM, Gross EKV (1990) Density functional theory. Springer-Verlag, Berlin
Hohenberg P, Kohn W (1964) Phys Rev B 136:864
Kohn W, Sham LJ (1965) Phys Rev 140:A1133
Baerends EJ, Ellis DE, Ros P (1973) Chem Phys 2:41
Baerends EJ, Ros P (1973) Chem Phys 2:52
Ellis DE, Painter GS (1970) Phys Rev B 2:2887
Painter GS, Ellis DE (1970) Phys Rev B 1:4747
Boerrigter PM, te Velde G, Baerends EJ (1988) Int J Quant Chem 33:87
Löwdin PO (1959) Adv Chem Phys 2:207
Wilson S (1984) Electron correlation in molecules. Clarendon Press, Oxford
Wilson S (1987) Electron correlation in atoms and molecules. Plenum Press, NY
Feil D, Uiterwijk J (1988) Portgal Phys 19:397
Møller C, Plesset MS (1934) Phys Rev 46:618
Wang LC, Boyd RJ (1989) J Chem Phys 90:1083
Boyd RS, Wang LC (1989) J Comput Chem 10:376
Dupuis M, Spangler D, Wendoloski JJ (1980) NRCC Software Catalog, vol 1 Program N. QG01 (GAMESS); Guest MF, Kendrick J (1985) GAMESS Users Manual, Daresbury Lab
Dupuis M, Spangler D, Wendoloski JJ (1980), NRCC Software Catalog, vol 1 Program N. QG01 (GAMESS); Schmidt MW, Baldridge KK, Boatz JA, Jensen JH, Koseki S, Gordon MS, Nguyen KA, Windus TL, Elbert ST (1990) QPCE Bulletin 10:52–54
Hall GG (1985) Adv Atomic Mol Phys 20:41
Mulliken RS (1955) J Chem Phys 23:1833, 23:1841, 23:2338, 23:2343
Huzinaga S, Sakai Y, Miyoshi E, Narita S (1990) J Chem Phys 93:3319
Löwdin PO (1950) J Chem Phys 18:365
Hirshfeld FL (1977) Theor Chim Acta 44:129
Davidson ER, Chakravorty S (1992) Theor Chim Acta 83:319
Bader RFW (1990) Atoms in molecules — A quantum theory. Clarendon Press, Oxford
Bader RFW, Essén H (1984) J Chem Phys 80:1943
Biegler-König FW, Nguyen-Dang TT, Tal Y, Bader RFW, Duke AJ (1981) J Phys B 14:2739
Biegler-König FW, Bader RFW, Ting-Hua Tang (1982) J Comput Chem 3:317
Velders GJM, Gillet JM, Becker PJ, Feil D (1991) J Phys Chem 95:8601
Chemla DS, Zyss J (1987) (Eds). Nonlinear optical properties of organic molecules and crystals, Vol 1 and 2, Academic Press, NY
Szabo A, Ostlund NS (1989) Modern quantum chemistry. McGraw-Hill, NY
Cohen HD, Roothaan CCJ (1965) J Chem Phys 43:S34
Cohen HD (1965) J Chem Phys 43:3558
Caves TC, Karplus M (1969) J Chem Phys 50:3649
Nakatsuji H, Musher JI (1974) J Chem Phys 61:3737
Hariharan PC, Pople JA (1972) Chem Phys Lett 66:217
Binkley JS, Pople JA (1977) J Chem Phys 66:879
Francl MM, Pietro WJ, Hehre WJ, Binkley JS, Gordon MS, DeFrees DJ, Pople JA (1982) J Chem Phys 77:3654
Hehre WJ, Ditchfield R, Pople JA (1972) J Chem Phys 56:2257
Dunning TH, Hay PJ (1987) In: Schaefer III HF (ed) Methods of electronic structure theory, Chap 1, Plenum Press, NY
Feller D, Davidson ER (1990) In: Lipkowitz KB, Boyd DB (eds) Reviews in computational chemistry, Chap 1, VCH Publ, NY
Snijders JG, Baerends EJ, Vernooijs P (1981) At Data Nucl Data Tables 26:483
Cade PE, Huo WM (1967) J Chem Phys 47:614
McLean AD, Yoshimine M (1967) Tables of linear molecule wavefunctions. IBM, NY
Bicerano J, Marynick DS, Lipscomb WN (1978) J Am Chem Soc 100:732
Davidson ER, Feller D (1986) Chem Rev 86:681
Benedict WS, Gailar N, Plyler EK (1956) J Chem Phys 24:1139
Meyer H, Schweig A, Zittlau W (1982) Chem Phys Lett 92:637
Velders GJM, Feil D (1992) J Phys Chem 96:10725
Fabricant B, Krieger D, Muenter JS (1977) J Chem Phys 67:1576
Starck B (1967) In: Hellwege (ed) Landolt-Bornstein: Molecular constants from microwave spectroscopy, vol 4, Springer Verlag, Berlin
Dyke TR, Muenter JS (1973) J Chem Phys 59:3125
Kirchhoff WH, Lide DR (1967) Natl Stand Ref Data Ser Natl Bur Stand 10
Clough SA, Beers Y, Klein GP, Rothman LS (1973) J Chem Phys 59:2254
Brown RD, Godfrey PD, Storey J (1975) J Mol Spectrosc 58:445
Krijn MPCM, Feil D (1986) J Chem Phys 85:319
Tanaka Y, Machida K (1977) J Mol Spectrosc 64:429
Raeymaekers P, Figeys HP, Geerlings P (1988) Mol Phys 65:945
Fowler PW (1982) Mol Phys 47:355
Timmermans J (1960) The physico-chemical constants of binary systems in concentrated solutions. Wiley Interscience, NY
Applequist J, Carl JR, Fung KK (1972) J Am Chem Soc 94:2952
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Velders, G.J.M., Feil, D. Comparison of the Hartree-Fock, Møller-Plesset, and Hartree-Fock-Slater method with respect to electrostatic properties of small molecules. Theoret. Chim. Acta 86, 391–416 (1993). https://doi.org/10.1007/BF01122431
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01122431