Skip to main content

On Calculating the Electronic Spectroscopy of Very Large Molecules

  • Chapter
Problem Solving in Computational Molecular Science

Part of the book series: NATO ASI Series ((ASIC,volume 500))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.J. Rowe (1968) Rev. Mod. Phys. 40, 153

    Article  Google Scholar 

  2. A.E. Hansen, T.D. Bouman, (1979) Mol. Phys. 37, 1713

    Article  CAS  Google Scholar 

  3. P. Jørgensen, J. Simmons (1981) Second Quantization-Based Methods in Quantum Chemistry Academic Press N.Y.

    Google Scholar 

  4. J. Pople, D. Beveridge, P. Dobosh (1967) J. Chem. Phys., 47, 2026

    Article  CAS  Google Scholar 

  5. J. Pople, D. Santry, G. Segal (1965) J. Chem. Phys., 43, 5129

    Google Scholar 

  6. J.E. Ridley, M.C. Zerner (1973) Theoret. Chim. Acta, 32, 111

    Article  CAS  Google Scholar 

  7. M.C. Zerner, G.H. Loew, R.F. Kirchner, U.T. Mueller-Westerhoff (1980) J. Am. Chem. Soc, 102, 589

    Article  CAS  Google Scholar 

  8. J.C. Culberson, P. Knappe, N. Rösch and M. C. Zerner (1987) Theoret. chim. Acta, 71, 21

    Article  CAS  Google Scholar 

  9. M. Kotzian, N. Rösch, M.C. Zerner (1991) Intern. J. Quantum Chem., S25, 545

    Article  Google Scholar 

  10. M. Kotzian, N. Rösch, M.C. Zerner (1992) Theoret. Chim. Acta, 81, 201

    Article  CAS  Google Scholar 

  11. J.D. Baker, M.C. Zerner (1991) J. Phys. Chem. 95, 8614

    Article  CAS  Google Scholar 

  12. A. Szabo, N.S. Ostlund (1982) Modem Quantum Chemistry, Macmillian Press. N.Y., 1st ed.

    Google Scholar 

  13. C.C.J. Roothaan (1960) Rev. Mod. Phys. 32, 179

    Article  Google Scholar 

  14. E. Davidson (1973) Chem. Phys. Lett. 21, 565

    Article  CAS  Google Scholar 

  15. C. Jackels, E. Davidson (1974) Intern. J. Quantum Chem., 8, 707

    Article  CAS  Google Scholar 

  16. R. Caballol, R. Gallifa, J. Ricra, R. Carbo (1974) Intern. J. Quantum Chem., 8, 373

    Article  CAS  Google Scholar 

  17. R. Carbo, L. Domingo, J. Gregori (1980) Intern. J. Quantum Chem., 7, 725

    Article  Google Scholar 

  18. R. Mcweeny, R. Dickerson (1968) J. Chem. Phys. 49, 4852

    Article  CAS  Google Scholar 

  19. M. Guest, V. Sanders (1974) Mol. Phys. 28, 819

    Article  CAS  Google Scholar 

  20. J. Binkley, J. Pople, P. Dobosh (1974) Mol. Phys., 28, 1423

    Article  CAS  Google Scholar 

  21. K. Faegri, R. Manne (1976) Mol. Phys. 31, 1037

    Article  CAS  Google Scholar 

  22. H. Hsu, E. Davidson, R. Pitzer (1976) J. Chem. Phys., 65, 609.

    Article  CAS  Google Scholar 

  23. W.D. Edwards, M.C. Zemer (1987) Theoret. Chim. Acta 72, 347

    Article  CAS  Google Scholar 

  24. J.A. Pople, R.K. Nesbet (1954) J. Chem. Phys. 22, 571

    Article  CAS  Google Scholar 

  25. P.O. Lowdin (1955) Phys. Rev. 97, 1509

    Article  Google Scholar 

  26. P.O. Lowdin (1956) Advan. Phys. 5, 161

    Article  Google Scholar 

  27. A.T. Amos, G.G. Hall (1961) Proc. Roy. Soc. (London) A263, 483

    Google Scholar 

  28. A. T. Amos and L. C. Snyder (1964) J. Chem. Phys., 41, 1773:

    Article  CAS  Google Scholar 

  29. J.G.W. Pratt (1956) Phys. Rev. 102, 1303

    Article  CAS  Google Scholar 

  30. B. Sutcliffe (1963) J. Chem. Phys. 39, 3322

    Article  CAS  Google Scholar 

  31. R. Pauncz (1979) Spin Eigenfunctions Plenum Press, N.Y.

    Google Scholar 

  32. P.O. Lowdin (1959) Adv. Chem. Phys. 2, 207

    Article  Google Scholar 

  33. T. Yonezawa, H. Nakatsuji, T. Kawamura, H. Kato (1969) J. Chem. Phys., 51, 669

    Article  CAS  Google Scholar 

  34. H. Nakatsuji, H. Kato, T. Yonezawa (1969) J. Chem. Phys. 51, 3175

    Article  CAS  Google Scholar 

  35. P.O. Lowdin (1960) Rev. Mod. Phys. 32, 328

    Article  Google Scholar 

  36. A. Hardisson, J.E. Harriman (1967) J. Chem. Phys., 46, 3639

    Article  CAS  Google Scholar 

  37. J.E. Haniman (1964) J. Chem Phys. 40, 2827

    Article  Google Scholar 

  38. D. Phillips, J. Schug (1974) J. Chem. Phys., 61, 1031

    Article  CAS  Google Scholar 

  39. K.M. Sando, J.E. Haniman (1967) J. Chem. Phys., 47, 18014

    Article  Google Scholar 

  40. A.D.Bacon and M.C.Zemer (1979) Theoret. chim. Acta, 53, 21.

    Article  CAS  Google Scholar 

  41. M.G. Cory, M.C. Zerner, in preperation.

    Google Scholar 

  42. J.B. Foresman, M. Head-Gordon, J.A. Pople, M.J. Frish (1992) J. Chem. Phys. 96, 135

    Article  CAS  Google Scholar 

  43. R.G.Parr (1963) Quantum Theory of Molecular Electronic Structure, Benjamin, Boston.

    Google Scholar 

  44. J.E. Ridley and M.C. Zerner (1976) Theor. Chim. Acta 42, 223-236.

    Article  CAS  Google Scholar 

  45. P.J. Hay and I. Shavitt (1974) 60. 2865.

    Google Scholar 

  46. W.D. Edwards and M.C. Zerner (1983) Intern. J. Quantum Chem. 23, 1407.

    Article  CAS  Google Scholar 

  47. J. Linderberg and N. Y. Öhrn (1973) Propagators in Quantum Chemistry, Academic Press, New York.

    Google Scholar 

  48. J. D. Baker and M. C. Zerner (1991) J. Phys. Chem. 95, 8614-8619.

    Article  CAS  Google Scholar 

  49. H. Eyring, J. Walter and G.E. Kimball (1944) Quantum Chemistry, John Wiley and Sons

    Google Scholar 

  50. 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.

    Chapter  Google Scholar 

  51. J. DelBene and H. H. Jaffe (1968) J. Chem. Phys., 48, 1807.

    Article  CAS  Google Scholar 

  52. J.C. Slater (1960) Quantum Theory of Atomic Structure, vol 1 and 2. McGraw-Hill New York.

    Google Scholar 

  53. J. C. Slater, J. B. Mann, T. M. Wilson and J. H. Wood (1969) Phys. Rev., 184, 672.

    Article  CAS  Google Scholar 

  54. F. L. Pilar (1968) Elementary Quantum Chemistry. McGraw Hill, New York

    Google Scholar 

  55. R. McWeeny, (1989) Methods in Molecular Quantum Mechanics, 2nd edition, Academic Press, London.

    Google Scholar 

  56. C.C.J.Roothaan (1951) Rev. Mod. Phys., 23, 69.

    Article  CAS  Google Scholar 

  57. G.G. Hall (1951) Proc. Roy. Soc. London, A205, 541.

    Google Scholar 

  58. C.C.J. Roothaan (1960) Rev. Mod Phys., 32, 179.

    Article  Google Scholar 

  59. M.A. Thompson and M.C. Zerner (1991) J. Am. Chem. Soc. 113, 8210;

    Article  CAS  Google Scholar 

  60. M.A. Thompson, J. Fajer and M.C. Zerner (1990) J. Phys. Chem.94, 3820.

    Article  CAS  Google Scholar 

  61. 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.

    Google Scholar 

  62. M. Cory and M.C. Zerner (1991) Chem. Rev.91, 813-822.

    Article  CAS  Google Scholar 

  63. W.P. Anderson, W. D. Edwards and M. C. Zerner (1986) Inorg. Chem., 25, 2728.

    Article  CAS  Google Scholar 

  64. N. Mataga and K. Nishimoto (1957) Z. Physik Chem., 13, 140. We use a variation of this suggested by K. Weiss, see reference 4a.

    Article  CAS  Google Scholar 

  65. see, for example, J. A. Pople and D. L. Beveridge (1970) Approximate Molecular Orbital Theory. McGraw-Hill, New York.

    Google Scholar 

  66. R. Ake and M. Gouterman (1969) Theoret. Chim. Acta, 15, 20.

    Article  Google Scholar 

  67. R. Ake and M. Gouterman (1970) 17, 408

    Google Scholar 

  68. W.D. Edwards, B. Weiner and M. C. Zerner, (1986) J. Am. Chem. Soc., 108, 2196.

    Article  CAS  Google Scholar 

  69. W.D. Edwards, B. Weiner and M. C. Zerner, (1988) J. Phys. Chem., 92, 6188.

    Article  CAS  Google Scholar 

  70. S. P. Sinha (1971) Malays. Sci. 6, 88.

    Google Scholar 

  71. C.K. Jørgensen and J.S. Brinen (1963) Mol. Phys. 6, 629

    Article  Google Scholar 

  72. W. L. Jorgensen, “Free energy calculations: A breakthrough for modeling organic chemistry in solution”, Acc. Chem. Res. 1989, 22, 184.

    Article  CAS  Google Scholar 

  73. J. Blair, K. Krough-Jespersen and R. Levy (1989) J. Am. Chem. Soc. 111, 6948

    Article  CAS  Google Scholar 

  74. R. Levy, D. B. Kitchen, J. Blair, K. Krough-Jespersen (1990) 94, 4470.

    Google Scholar 

  75. J. Gao (1994) J. Am. Chem. Soc. 116, 9324.

    Article  CAS  Google Scholar 

  76. G. Pearl, A. Broo and M. C. Zerner, work in progress.

    Google Scholar 

  77. M. A. Thompson and G. K. Schenter, J. Phys. Chem., 1995, 99, 6374.

    Article  CAS  Google Scholar 

  78. K.K. Stavrev, M.C.Zeraer, T.J. Meyer, J. Am. Chem. Soc., (1995) 117, 8684;

    Article  CAS  Google Scholar 

  79. J. Tomasi and M. Persico, (1994) Chem. Rev., 94, 2027.

    Article  CAS  Google Scholar 

  80. A. Warshel and M. Levitt, (1976) J. Mol. Biol. 103, 227.

    Article  CAS  Google Scholar 

  81. J. Hylton, R. E. Cristoffersen and G. G. Hall, ( 1974) Chem. Phys. Lett. 26, 501

    Article  Google Scholar 

  82. J.-L. Rivail and D. Rinaldi, (1976) Chem. Phys., 18, 233;

    Article  CAS  Google Scholar 

  83. O Tapia and O. Goscinski, (1975) 29, 1653;

    Google Scholar 

  84. B. T. Thole and P. Th. van Duijnen, (1980) Theoret., chim. Acta, 55, 307.

    Article  CAS  Google Scholar 

  85. S. Miertus, E. Scrocco and J. Tomasi, (1981) Chem. Phys., 55, 17.

    Article  Google Scholar 

  86. M.M. Karelson, A. R. Katritzky, M. Szafran and M. C. Zerner (1989) J. Org. Chem., 61, 6030.

    Article  Google Scholar 

  87. M. M. Karelson, A. R. Katritzky, M. Szafran and M. C. Zerner (1990) J. Chem. Soc. Perkins Trans. 2, 161.

    Google Scholar 

  88. M.M. Karelson and M.C. Zerner (1992) J. Phys. Chem. 96, 6949-6957.

    Article  CAS  Google Scholar 

  89. See M. Karelson and G. Diercksen, this volume

    Google Scholar 

  90. C. J. F. Böttcher and P. Bordewijk (1978) Theory of Electron Polarization, 2nd. ed., vol II. Elsevier, Amsterdam.

    Google Scholar 

  91. N. Rösch and M. C. Zerner (1994) J. Phys. Chem., 98, 5817.

    Article  Google Scholar 

  92. W. Liptay ( 1965) Z. Naturforsch., 112, 9405.

    Google Scholar 

  93. G. Rauhut, T. Clark, T. Steinke (1993) J. Am. Chem. Soc., 115, 9174.

    Article  CAS  Google Scholar 

  94. F. M. Floris, J. Tomasi, J. L. Pascual-Ahuir (1991) J. Comput. Chem., 12, 784.

    Article  CAS  Google Scholar 

  95. R. A. Pierrotti (1977) Chem. Revs., 76, 717.

    Article  Google Scholar 

  96. L. Onsager (1936) J. Am. Chem. Soc. 58, 1486.

    Article  CAS  Google Scholar 

  97. E. G. McRae, (1957) J. Phys. Chem., 61, 562.

    Article  CAS  Google Scholar 

  98. B. Linder, (1967) Adv. Chem. Phys., 12, 225.

    Article  CAS  Google Scholar 

  99. H. J. Kim and J. T. Hynes (1992) J. Am. Chem. Soc., 114, 10508

    Article  CAS  Google Scholar 

  100. H. J. Kim and J. T. Hynes (1992) J. Am. Chem. Soc., 114, 10528.

    Article  CAS  Google Scholar 

  101. H. J. Kim, J. Chem. Physin press:

    Google Scholar 

  102. P. E. Siegbahn, A. Heiberg, B.O. Roos, and B. Levy (1980) Phys. Scr. 21, 323

    Article  CAS  Google Scholar 

  103. B. O. Roos, P. R. Taylor and P. E. Siegbahn (1980) Chem. Phys. 48, 157.

    Article  CAS  Google Scholar 

  104. Baker and Zerner (1990) Chem. Phys. Let., 175, 192

    Article  CAS  Google Scholar 

  105. M. Merchán, E. Orti, B. O. Roos (1994) Chem. Phys. Let. 226, 27

    Article  Google Scholar 

  106. H. Nakatsuji, M. Komari, O. Kitao (1987) Chem. Phys. Lett. 142, 447

    Article  Google Scholar 

  107. H. Nakatsuji, O. Kitao and T. Yonezawa (1985) J. Chem. Phys. 83, 723

    Article  CAS  Google Scholar 

  108. H. Nakatsuji, J-Y Hasegawa and M. Hada (1996) J. Chem. Phys. 104, 2321

    Article  CAS  Google Scholar 

  109. J. F. Stanton and R. J. Bartlett (1993) J. Chem. Phys. 7029

    Google Scholar 

  110. 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

    Google Scholar 

  111. D. R. Salahub and C. Sandorfy (1971) Theoret. Chim. Acta 20, 227.

    Article  CAS  Google Scholar 

  112. W. Haque (1977) J. Chem. Phys. 67, 3629.

    Article  CAS  Google Scholar 

  113. M. B. Robin, Higher Excited States of Polyatomic Molecules, Vol 3, Academic Press, N.Y. (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Kluwer Academic Publishers

About this chapter

Cite this chapter

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

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0039-4_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6506-1

  • Online ISBN: 978-94-009-0039-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics