Abstract
The semiempirical methods of modeling the molecular systems using the group function approximation for electronic structure calculations have been used by the author for many years. The review discusses the general structure of the semiempirical method that uses the group functions and the results obtained by the particular methods, namely, the crystal field effective Hamiltonian method designed for systems containing transition metal ions and methods based on the strictly local geminal approximation designed for modeling the “organic” molecules.
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References
E. Z. Hückel, Physik, 70, 204 (1931).
E. Z. Hückel, ibid., 72, 310 (1931).
E. Z. Hückel, ibid., 76, 628 (1932).
E. Z. Hückel, Phys. Chem., 35, 163 (1937).
E. Z. Hückel, Elektrochem., 43, 752, 827–849 (1937).
E. Z. Hückel, Elektrochem. Ber. Bunseng., 61, 866–890 (1957).
T. Clark et al., Theor. Chem. Acc., 110, 254 (2003).
D. Danovich, J. Mol. Struct. (Theochem), 235, 401 (1997).
J. J. P. Stewart, ibid., 195, 401.
A. D. Daniels et al., Int. J. Quant. Chem., 77, 82 (2000).
K. Jug et al., Chem. Phys. Lett., 208, 537 (1993).
M. Kolb and W. Thiel, J. Comp. Chem., 14, 775 (1993).
W. Weber and W. Thiel, Theor. Chem. Acc., 103, 495 (2000).
B. Ahlswede and K. Jug, J. Comp. Chem., 20, 563 (1999).
N. F. Stepanov, “Problems of separating the variables in molecular problems,” Chemical Sciences Doctoral Dissertation, Moscow State University (1980).
K. F. Freed, Semiempirical Methods of Electronic Structure Calculations, Part A, Techniques, G. A. Segal (ed.), Plenum, New York (1977).
R. Poteau, I. Ortega, F. Alary, et al., J. Phys. Chem. A, 105, No. 1, 198–205 (2001).
M. S. Gordon, M. A. Freitag, P. Bandyopadhyay, et al., ibid., No. 2, 293–307.
L. Seijo and Z. Barandiaran, Computational Chemistry: Reviews of Current Trends, Vol. 4, J. Leszcynski (ed.), World Scientific, Singapore (1999), pp. 55–152.
K. Ruedenberg, The Physical Nature of the Chemical Bond [Russian translation], Mir, Moscow (1964).
R. McWeeny, Proc. R. Soc. Lond. Ser. A, 253, 242–259 (1959).
R. McWeeny, Rev. Mod. Phys., 32, No. 2, 335–369 (1960).
R. McWeeney and B. Sutcliffe, Methods of Molecular Quantum Mechanics, Academic Press, London (1969).
R. McWeeney, Methods of Molecular Quantum Mechanics, Academic Press, London (1992).
A. L. Tchougréeff, A. M. Tokmachev, and I. Mayer, Int. J. Quant. Chem. (in press).
S. Wilson, Electron Correlation in Molecules, Clarendon Press, Oxford (1984).
R. Constanciel, in: Localization and Delocalization in Quantum Chemistry, O. Chalvet, R. Daudel, S. Diner, and J. P. Malrieu (eds.), Reidel, Dordrecht (1975).
P. E. Schipper, Aust. J. Chem., 40, No. 6, 635–654 (1987).
A. L. Chugreev and I. A. Misurkin, Dokl. Akad. Nauk SSSR, 291, No. 5, 1177–1181 (1986).
P. G. Lycos and R. G. Parr, J. Chem. Phys., 24, 1166 (1956); ibid., 25, 1301 (1956).
R. G. Parr, Modern Quantum Chemistry. Istanbul Lectures, O. Sinanoglu (ed.), Academic Press, New York (1965).
P.-O. Löwdin, Perturbation Theory and its Applications in Quantum Mechanics, C. H. Wilcox (ed.), Wiley, New York (1966).
A. L. Tchougréeff, Phys. Chem. Chem. Phys., 1, No. 6, 1051–1060 (1999).
A. B. Migdal, Theory of Finite Fermi Systems and Properties of Atomic Nucleus, Nauka, Moscow (1965).
A. V. Soudackov, A. L. Tchougréeff, and I. A. Misurkin, Theor. Chim. Acta, 83, Nos. 5/6, 389–416 (1992).
H. Bethe, Ann. Physik, 3, No. 2, 133–208 (1929).
J. H. Van Vleck, J. Chem. Phys., 7, No. 1, 72–84 (1939).
A. V. Soudackov and K. Jug, Int. J. Quant. Chem., 62, No. 4, 403–418 (1997).
A. V. Sudakov, “Electronic structure of transition metal complexes,” Physical and Mathematical Sciences Candidate’s Dissertation, L. Ya. Karpov Physicochemical Research Institute (1991).
A. V. Sudakov, A. L. Chugreev, and I. A. Misurkin, Zh. Fiz. Khim., 68, No. 7, 1256–1264 (1994).
A. V. Sudakov, A. L. Chugreev, and I. A. Misurkin, ibid., 1264–1270.
A. V. Soudackov, A. L. Tchougréeff, and I. A. Misurkin, Int. J. Quant. Chem., 57, 663–671 (1996).
A. L. Tchougréeff, A. V. Soudackov, I. A. Misurkin, et al., Chem. Phys., 193, No. 1, 19–26 (1995).
A. V. Soudackov, A. L. Tchougréeff, I. A. Misurkin, Int. J. Quant. Chem., 58, No. 2, 161–173 (1996).
M. B. Darkhovskii, A. V. Soudackov, and A. L. Tchougréeff, Theor. Chem. Acc., 114, 97, 109 (2005).
P. Gütlich, Struct. Bond., 44, 83–193 (1981).
P. Gütlich, A. Hauser, and H. Spiering, Angew. Chem. Int. Ed. Eng., 33, No. 20, 2024–2054 (1994).
A. Dedieu, M.-M. Rohmer, and A. Veillard, Adv. Quant. Chem., 16, 43–95 (1982).
H. Kashiwagi, T. Takada, S. Obara, et al., Int. J. Quant. Chem., 14, No. 1, 13–27 (1978).
D. C. Rawlings, M. Gouterman, E. R. Davidson, and D. Feller, ibid., 28, No. 6(I), 773–796 (1985).
K. Pierloot, Mol. Phys., 101, 2083–2095 (2003).
J. G. Bednorz and K. A. Müffer, Z. Phys., 64, No. 4, 189–193 (1986).
M. G. Razumov and A. L. Chugreev, Zh. Fiz. Khim., 74, No. 1, 87–93 (2000).
A. L. Tchougréeff, J. Mol. Catal., 119, No. 1, 377–386 (1997).
A. L. Tchougréeff and A. M. Tokmachev, J. Solid. State Chem., 176, No. 2, 633–645 (2003).
M. Habel, H. Kuhlenbeck, H.-J. Freund, et al., Chem. Phys. Lett., 240, Nos. 1–3, 205–209 (1995).
V. Staemmler, Proceedings of the NATO Advanced Study Institute on Metal-Ligand Interactions: Structure and Reactivity, N. Russo and D. R. Salahub (eds.), Kluwer, Dordrecht (1996), pp. 473–491.
A. M. Tokmachev and A. L. Chugreev, Khim. Fiz., 18, No. 1, 80–87 (1999).
A. V. Sinitsky, M. B. Darkhovskii, A. L. Tchougréeff, and I. A. Misurkin, Int. J. Quant. Chem., 88, No. 4, 370–379 (2002).
G. Náray-Szabó and P. R. Surján, Chem. Phys. Lett., 96, No. 4, 499–501 (1983).
V. I. Smirnov, A Course in Higher Mathematics [in Russian], Vol. 3, Part 1, Gos. Izd. Fiz. Mat. Lit., Moscow (1958).
E. Condon and G. Shortley, The Theory of Atomic Spectra, Cambridge University Press, New York (1957).
M. J. S. Dewar and W. Thiel, J. Am. Chem. Soc., 99, No. 15, 4899–4907 (1977); M. J. S. Dewar and W. Thiel, ibid., 4907–4917.
M. J. S. Dewar, E. G. Zoebisch, E. Healy, and J. J. P. Stewart, ibid., 107, No. 13, 3902–3909 (1985).
J. J. P. Stewart, J. Comp. Chem., 10, No. 2, 209–220 (1989).
A. M. Tokmachev, “Methods for calculating the electronic structure of molecular systems with local groups of electrons,” Physical and Mathematical Sciences Candidate’s Dissertation, Karpov Research Institute of Physical Chemistry, Moscow (2003).
A. M. Tokmachev and A. L. Chugreev, Zh. Fiz. Khim., 73, No. 2, 320–331 (1999).
V. N. Tutubalin, Theory of Probabilities and Random Processes [in Russian], Moscow State University, Moscow (1992).
A. M. Tokmachev and A. L. Tchougréeff, J. Phys. Chem. A, 107, No. 3, 358–365 (2003).
M. J. S. Dewar and H. S. Rzepa, J. Am. Chem. Soc., 100, No. 1, 58–67 (1978).
M. J. S. Dewar and E. G. Zoebisch, Theochem., 49, No. 1, 1–21 (1988).
A. M. Tokmachev and A. L. Tchougréeff, J. Comp. Chem., 22, No. 7, 752–764 (2001).
C. A. White, B. C. Johnson, P. M. W. Gill, and M. Head-Gordon, Chem. Phys. Lett., 253, Nos. 3/4, 268–278 (1996).
A. M. Tokmachev and A. L. Tchougréeff, J. Phys. Chem. A, 109, 7613–7620 (2005).
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Translated from Zhurnal Strukturnoi Khimii, Vol. 48, Supplement, pp. S39–S62, 2007.
Original Russian Text Copyright © 2007 by A. L. Chugreev
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Chugreev, A.L. New generation of semiempirical methods of molecular modeling based on the theory of group functions. J Struct Chem 48 (Suppl 1), S32–S54 (2007). https://doi.org/10.1007/s10947-007-0148-z
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DOI: https://doi.org/10.1007/s10947-007-0148-z