Abstract
This chapter will review the many ways in which the excited states of molecules can be calculated. The very fact that there are several ways attests to the observation that none are particularly “right” for all occasions. This is still an area of quantum chemistry of research interest. There is no real “black box” solution that will hold much hope for great accuracy in all situations. Rather, individual cases will need individual attention, and this is especially true for large systems, systems containing transition metal elements, or systems in which the ground state is of open-shell character.
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References
D.J. Rowe (1968) Rev. Mod. Phys. 40, 153
A.E. Hansen, T.D. Bouman, (1979) Mol. Phys. 37, 1713
P. Jørgensen, J. Simmons (1981) Second Quantization-Based Methods in Quantum Chemistry Academic Press N.Y.
J. Pople, D. Beveridge, P. Dobosh (1967) J. Chem. Phys., 47, 2026
J. Pople, D. Santry, G. Segal (1965) J. Chem. Phys., 43, 5129
J.E. Ridley, M.C. Zerner (1973) Theoret. Chim. Acta, 32, 111
M.C. Zerner, G.H. Loew, R.F. Kirchner, U.T. Mueller-Westerhoff (1980) J. Am. Chem. Soc, 102, 589
J.C. Culberson, P. Knappe, N. Rösch and M. C. Zerner (1987) Theoret. chim. Acta, 71, 21
M. Kotzian, N. Rösch, M.C. Zerner (1991) Intern. J. Quantum Chem., S25, 545
M. Kotzian, N. Rösch, M.C. Zerner (1992) Theoret. Chim. Acta, 81, 201
J.D. Baker, M.C. Zerner (1991) J. Phys. Chem. 95, 8614
A. Szabo, N.S. Ostlund (1982) Modem Quantum Chemistry, Macmillian Press. N.Y., 1st ed.
C.C.J. Roothaan (1960) Rev. Mod. Phys. 32, 179
E. Davidson (1973) Chem. Phys. Lett. 21, 565
C. Jackels, E. Davidson (1974) Intern. J. Quantum Chem., 8, 707
R. Caballol, R. Gallifa, J. Ricra, R. Carbo (1974) Intern. J. Quantum Chem., 8, 373
R. Carbo, L. Domingo, J. Gregori (1980) Intern. J. Quantum Chem., 7, 725
R. Mcweeny, R. Dickerson (1968) J. Chem. Phys. 49, 4852
M. Guest, V. Sanders (1974) Mol. Phys. 28, 819
J. Binkley, J. Pople, P. Dobosh (1974) Mol. Phys., 28, 1423
K. Faegri, R. Manne (1976) Mol. Phys. 31, 1037
H. Hsu, E. Davidson, R. Pitzer (1976) J. Chem. Phys., 65, 609.
W.D. Edwards, M.C. Zemer (1987) Theoret. Chim. Acta 72, 347
J.A. Pople, R.K. Nesbet (1954) J. Chem. Phys. 22, 571
P.O. Lowdin (1955) Phys. Rev. 97, 1509
P.O. Lowdin (1956) Advan. Phys. 5, 161
A.T. Amos, G.G. Hall (1961) Proc. Roy. Soc. (London) A263, 483
A. T. Amos and L. C. Snyder (1964) J. Chem. Phys., 41, 1773:
J.G.W. Pratt (1956) Phys. Rev. 102, 1303
B. Sutcliffe (1963) J. Chem. Phys. 39, 3322
R. Pauncz (1979) Spin Eigenfunctions Plenum Press, N.Y.
P.O. Lowdin (1959) Adv. Chem. Phys. 2, 207
T. Yonezawa, H. Nakatsuji, T. Kawamura, H. Kato (1969) J. Chem. Phys., 51, 669
H. Nakatsuji, H. Kato, T. Yonezawa (1969) J. Chem. Phys. 51, 3175
P.O. Lowdin (1960) Rev. Mod. Phys. 32, 328
A. Hardisson, J.E. Harriman (1967) J. Chem. Phys., 46, 3639
J.E. Haniman (1964) J. Chem Phys. 40, 2827
D. Phillips, J. Schug (1974) J. Chem. Phys., 61, 1031
K.M. Sando, J.E. Haniman (1967) J. Chem. Phys., 47, 18014
A.D.Bacon and M.C.Zemer (1979) Theoret. chim. Acta, 53, 21.
M.G. Cory, M.C. Zerner, in preperation.
J.B. Foresman, M. Head-Gordon, J.A. Pople, M.J. Frish (1992) J. Chem. Phys. 96, 135
R.G.Parr (1963) Quantum Theory of Molecular Electronic Structure, Benjamin, Boston.
J.E. Ridley and M.C. Zerner (1976) Theor. Chim. Acta 42, 223-236.
P.J. Hay and I. Shavitt (1974) 60. 2865.
W.D. Edwards and M.C. Zerner (1983) Intern. J. Quantum Chem. 23, 1407.
J. Linderberg and N. Y. Öhrn (1973) Propagators in Quantum Chemistry, Academic Press, New York.
J. D. Baker and M. C. Zerner (1991) J. Phys. Chem. 95, 8614-8619.
H. Eyring, J. Walter and G.E. Kimball (1944) Quantum Chemistry, John Wiley and Sons
M. C. Zerner (1991) “Semi Empirical Molecular Orbital Methods, ” M.C. Zerner, in Reviews of Computational Chemistry. Vol. 2, Ed. by K.B. Lipkowitz and D.B. Boyd, VCH Publishing, New York, 313-366.
J. DelBene and H. H. Jaffe (1968) J. Chem. Phys., 48, 1807.
J.C. Slater (1960) Quantum Theory of Atomic Structure, vol 1 and 2. McGraw-Hill New York.
J. C. Slater, J. B. Mann, T. M. Wilson and J. H. Wood (1969) Phys. Rev., 184, 672.
F. L. Pilar (1968) Elementary Quantum Chemistry. McGraw Hill, New York
R. McWeeny, (1989) Methods in Molecular Quantum Mechanics, 2nd edition, Academic Press, London.
C.C.J.Roothaan (1951) Rev. Mod. Phys., 23, 69.
G.G. Hall (1951) Proc. Roy. Soc. London, A205, 541.
C.C.J. Roothaan (1960) Rev. Mod Phys., 32, 179.
M.A. Thompson and M.C. Zerner (1991) J. Am. Chem. Soc. 113, 8210;
M.A. Thompson, J. Fajer and M.C. Zerner (1990) J. Phys. Chem.94, 3820.
M. C. Zerner (1995) “Intermediate Neglect of Differential Overlap Calculations on the Electronic Spectra of Transition Metal Complexes, ” in Metal Ligand Interactions: Structure and Reactivity, ed. N. Russo and D.R. Salahub, NATO ASI series, Vol. 474 Kluwer Academic Publishers, Dordrecht.
M. Cory and M.C. Zerner (1991) Chem. Rev.91, 813-822.
W.P. Anderson, W. D. Edwards and M. C. Zerner (1986) Inorg. Chem., 25, 2728.
N. Mataga and K. Nishimoto (1957) Z. Physik Chem., 13, 140. We use a variation of this suggested by K. Weiss, see reference 4a.
see, for example, J. A. Pople and D. L. Beveridge (1970) Approximate Molecular Orbital Theory. McGraw-Hill, New York.
R. Ake and M. Gouterman (1969) Theoret. Chim. Acta, 15, 20.
R. Ake and M. Gouterman (1970) 17, 408
W.D. Edwards, B. Weiner and M. C. Zerner, (1986) J. Am. Chem. Soc., 108, 2196.
W.D. Edwards, B. Weiner and M. C. Zerner, (1988) J. Phys. Chem., 92, 6188.
S. P. Sinha (1971) Malays. Sci. 6, 88.
C.K. Jørgensen and J.S. Brinen (1963) Mol. Phys. 6, 629
W. L. Jorgensen, “Free energy calculations: A breakthrough for modeling organic chemistry in solution”, Acc. Chem. Res. 1989, 22, 184.
J. Blair, K. Krough-Jespersen and R. Levy (1989) J. Am. Chem. Soc. 111, 6948
R. Levy, D. B. Kitchen, J. Blair, K. Krough-Jespersen (1990) 94, 4470.
J. Gao (1994) J. Am. Chem. Soc. 116, 9324.
G. Pearl, A. Broo and M. C. Zerner, work in progress.
M. A. Thompson and G. K. Schenter, J. Phys. Chem., 1995, 99, 6374.
K.K. Stavrev, M.C.Zeraer, T.J. Meyer, J. Am. Chem. Soc., (1995) 117, 8684;
J. Tomasi and M. Persico, (1994) Chem. Rev., 94, 2027.
A. Warshel and M. Levitt, (1976) J. Mol. Biol. 103, 227.
J. Hylton, R. E. Cristoffersen and G. G. Hall, ( 1974) Chem. Phys. Lett. 26, 501
J.-L. Rivail and D. Rinaldi, (1976) Chem. Phys., 18, 233;
O Tapia and O. Goscinski, (1975) 29, 1653;
B. T. Thole and P. Th. van Duijnen, (1980) Theoret., chim. Acta, 55, 307.
S. Miertus, E. Scrocco and J. Tomasi, (1981) Chem. Phys., 55, 17.
M.M. Karelson, A. R. Katritzky, M. Szafran and M. C. Zerner (1989) J. Org. Chem., 61, 6030.
M. M. Karelson, A. R. Katritzky, M. Szafran and M. C. Zerner (1990) J. Chem. Soc. Perkins Trans. 2, 161.
M.M. Karelson and M.C. Zerner (1992) J. Phys. Chem. 96, 6949-6957.
See M. Karelson and G. Diercksen, this volume
C. J. F. Böttcher and P. Bordewijk (1978) Theory of Electron Polarization, 2nd. ed., vol II. Elsevier, Amsterdam.
N. Rösch and M. C. Zerner (1994) J. Phys. Chem., 98, 5817.
W. Liptay ( 1965) Z. Naturforsch., 112, 9405.
G. Rauhut, T. Clark, T. Steinke (1993) J. Am. Chem. Soc., 115, 9174.
F. M. Floris, J. Tomasi, J. L. Pascual-Ahuir (1991) J. Comput. Chem., 12, 784.
R. A. Pierrotti (1977) Chem. Revs., 76, 717.
L. Onsager (1936) J. Am. Chem. Soc. 58, 1486.
E. G. McRae, (1957) J. Phys. Chem., 61, 562.
B. Linder, (1967) Adv. Chem. Phys., 12, 225.
H. J. Kim and J. T. Hynes (1992) J. Am. Chem. Soc., 114, 10508
H. J. Kim and J. T. Hynes (1992) J. Am. Chem. Soc., 114, 10528.
H. J. Kim, J. Chem. Physin press:
P. E. Siegbahn, A. Heiberg, B.O. Roos, and B. Levy (1980) Phys. Scr. 21, 323
B. O. Roos, P. R. Taylor and P. E. Siegbahn (1980) Chem. Phys. 48, 157.
Baker and Zerner (1990) Chem. Phys. Let., 175, 192
M. Merchán, E. Orti, B. O. Roos (1994) Chem. Phys. Let. 226, 27
H. Nakatsuji, M. Komari, O. Kitao (1987) Chem. Phys. Lett. 142, 447
H. Nakatsuji, O. Kitao and T. Yonezawa (1985) J. Chem. Phys. 83, 723
H. Nakatsuji, J-Y Hasegawa and M. Hada (1996) J. Chem. Phys. 104, 2321
J. F. Stanton and R. J. Bartlett (1993) J. Chem. Phys. 7029
for a review of couple-cluster methods, see R. J. Bartlett and J. F. Stanton (1994) in Reviews of Computational Chem.. Vol 5, ed. K. Lipkowitz and D. B. Boyd, VCH, New York
D. R. Salahub and C. Sandorfy (1971) Theoret. Chim. Acta 20, 227.
W. Haque (1977) J. Chem. Phys. 67, 3629.
M. B. Robin, Higher Excited States of Polyatomic Molecules, Vol 3, Academic Press, N.Y. (1985)
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Zemer, M.C. (1997). On Calculating the Electronic Spectroscopy of Very Large Molecules. In: Wilson, S., Diercksen, G.H.F. (eds) Problem Solving in Computational Molecular Science. NATO ASI Series, vol 500. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0039-4_8
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