Skip to main content

Reformulation of the Concept of Jahn-Teller Vibronic Coupling Effects in Theoretical Chemistry

  • Chapter
Fundamental World of Quantum Chemistry

Abstract

Per-Olov Lowdin understood the role and place of vibronic coupling effects in theoretical chemistry at early stages of development of this trend. We met first in 1976, and he invited me to prepare a review of this topic for Advanced Quantum Chemistry. Two such reviews coauthored with my coworkers were published in 1982 and 1986 [1, 2]. From that time the problem of vibronic coupling of two or several electronic states under nuclear displacements from the reference high-symmetry configuration, known as the Jahn-Teller (JT) vibronic coupling effects, grew up to a whole approach to (a tool for) solving molecular and crystal problems (see [3, 4] and references therein). Research activity in this field is being especially pronounced during the last decade when it became clear that the JT effects play a significant role in understanding the origin of molecular and crystal properties, including such novel aspects as high-temperature superconductivity and colossal magnetoresistance.

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 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover 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. Bersuker, I. B., Polinger, V. Z. (1982) Adv. Quant. Chem. 15, 85–160.

    Article  CAS  Google Scholar 

  2. Bersuker, I. B., Ogurtsov, I. Ya. (1986) Adv. Quant. Chem. 18, 1–84.

    Article  CAS  Google Scholar 

  3. Bersuker, I. B. (2004) The Jahn-Teller Effect, University Press, Cambridge, to be published..

    Google Scholar 

  4. Bersuker, I. B. (2001) Chem. Rev.101, 1067–1114.

    Article  CAS  Google Scholar 

  5. Bersuker, I. B.; Polinger, V. Z. (1989) Vibronic Interactions in Molecules and Crystals, Springer, New York.

    Book  Google Scholar 

  6. Jahn, H. A., Teller, E. (1937) Proc. Roy. Soc. 161 220.

    Article  CAS  Google Scholar 

  7. Englman, R. (1972) The Jahn-Teller Effect in Molecules and Crystals, Wiley, London.

    Google Scholar 

  8. Bersuker, I. B. (1984) The Jahn-Teller Effect and Vibronic Interactions in Modern Chemsitry, Plenum, New York.

    Google Scholar 

  9. Opik, U., Price, M. H. L. (1957) Proc. R. Soc. London A 238, 425

    Article  CAS  Google Scholar 

  10. Bersuker, I. B., Gorinchoi, N. N., Polinger, V. Z. (1984) Teor. Chim. Acta 66, 161

    Article  CAS  Google Scholar 

  11. Bersuker, I. B., Polinger, V. Z., Gorinchoi, N. N. (1992) J. Struct. Chem. (Theochem) 5, 369

    Google Scholar 

  12. Bersuker, I. B. (1993) New J. Chem. 17, 3.

    Google Scholar 

  13. Bersuker, I. B. (1996) Electronic Structure and Properties of Transition Metal Compounds. Introduction to the Theory; Wiley, New York.

    Google Scholar 

  14. Bader, R. F. W. (1960) Mol. Phys. 3, 137.

    Article  CAS  Google Scholar 

  15. Bersuker, I. B. (1980) Nouv. J. Chim. 4, 139

    CAS  Google Scholar 

  16. Bersuker, I. B. (1980) Teor. Eksp. Khim. 16, 291

    CAS  Google Scholar 

  17. Bersuker, I. B. (1988) Pure & Appl. Chem. 60, 1167

    Article  CAS  Google Scholar 

  18. Bersuker, I. B. (1988) Fiz. Tverdogo Tela 30, 1738.

    Google Scholar 

  19. Bersuker, I. B. (2003) Adv. Quant. Chem., in press

    Google Scholar 

  20. Bersuker, I. B. (1961) Opt. Spectrosc., 11, 319

    CAS  Google Scholar 

  21. Bersuker, I. B. (1962) Zh. Eksp. Teor. Fiz. 43, 1315. (English transl.: Soy. Phys. — JETP (1963) 16, 933)

    CAS  Google Scholar 

  22. Bersuker, I. B. (1975) Coord. Chem. Rev. 14, 357.

    Article  CAS  Google Scholar 

  23. Moate, M. C. P.; O’Brien, M. C. M.; Dunn, J. L.; Bates, C. A.; Liu, Y. M.; Polinger, V. Z. (1996) Phys., Rev. Lett. 77, 4362.

    Article  CAS  Google Scholar 

  24. Koizumi, H.; Bersuker, I. B. (1999) Phys. Rev. Lett. 83, 3009.

    Article  CAS  Google Scholar 

  25. Koizumi, H., Bersuker, I. B., Boggs, J., Polinger, V. Z. (2000) J. Chem. Phys. 112, 8470.

    Article  CAS  Google Scholar 

  26. Bevilacqua, G., Bersuker, I. B., Martinelli, L. (2001) In Vibronic Interactions: Jahn-Teller Effect in Crystals and Molecules, Eds. Kaplan, M. D., Zimmerman, G. O., NATO Science Series, V. 39, Kluwer, Dordreht.

    Google Scholar 

  27. O’Brien, M. C. M. (1964) Proc. R. Soc. London A 281, 323.

    Article  Google Scholar 

  28. Bohm, A., Mostafazadeh, A., Koizumi, H., Niu, Q., Zwanziger, J. (2003) The Geometric Phase in Quantum systems, Springer, Berlin.

    Google Scholar 

  29. Longuet-Higgins, H. C., Opik U., Pryce, M. H. L., Sack, R. A. (1958) Proc. R. Soc. London, Ser A 244, 1.

    Article  CAS  Google Scholar 

  30. Berry, M. V. (1984) Proc. R. Soc. A 392, 45.

    Article  Google Scholar 

  31. Huang, R., Abu-Guantous, M., Bates, C. A., Dunn, J. L., Polinger, V. Z., Moate, C. P. (2002) J. Phys.: Condens. Matter 14, 1319

    Article  CAS  Google Scholar 

  32. Abu-Guantous, M., Polinger, V. Z., Dunn, J. L., Bates, C. A. (2002) J. Phys.: Condens. Matter 14, 3115.

    Article  Google Scholar 

  33. Dosher, M., Koppel, H., Szalay, P. G. (2002) J. Chem. Phys. 117, 2645

    Article  Google Scholar 

  34. Koppel, H., Dosher, M., Baldea, I., Meyer, H. D., Szalay, P. G. (2002) J. Chem. Phys. 117, 2657.

    Article  CAS  Google Scholar 

  35. Chancey, C. C., O’Brien, M. C. M. (1997) The Jahn-Teller Effect in C60 and other Icosahedral Complexes; Princeton Univ. Press, Princeton, New Jersey.

    Google Scholar 

  36. Ceulemans, A., Fowler, P. W. (1989) Phys. Rev. A. 39, 481

    Article  Google Scholar 

  37. Ceulemans, A.; Fowler, P. W. (1990) J. Chem. Phys. 93, 1221

    Article  CAS  Google Scholar 

  38. Cullerne, J. P., O’Brien, M. C. M. (1994) J. Phys. : Condens. Matter 6, 9017

    Article  CAS  Google Scholar 

  39. Ceulemans, A., Fowler, P. W. (1992) J. Chem. Soc. Faraday Trans. 88, 2797

    Article  CAS  Google Scholar 

  40. Cullerne, J. P., Angelova, M. N., O’Brien, M. C. M. (1995) J. Phys. : Condens. Matter 7, 3247

    Article  CAS  Google Scholar 

  41. Dunn, J. L., Bates, A. C. (1995) Phys. Rev. B. 52, 5996

    Article  CAS  Google Scholar 

  42. Ceulemans, A.; Chibotaru, L. F. (1996) Phys. Rev. B-I, 53, 2460

    Article  CAS  Google Scholar 

  43. Chibotaru, L. F.; Ceulemans, A. (1996) Phys. Rev. B. 53, 15522

    Article  CAS  Google Scholar 

  44. Auerbach, A.; Manini, N.; Tosatti, E. (1999) Phys. Rev. B. 49, 12998

    Article  Google Scholar 

  45. Chibotaru, L. F.; Ceulemans, A.; Cojocaru, S. P. (1992) Phys. Rev B-II 59, R12728.

    Article  Google Scholar 

  46. Khlopin, V. P., Polinger, V. Z., Bersuker, I. B. (1978) Theor. Chimica. Acta 48, 87.

    Article  CAS  Google Scholar 

  47. Delacretaz, G., Grant, E. R., Whetten, R. L., Wöste, L., Zwanziger, J. W. (1986) Phys. Rev. Lett. 56, 2598.

    Article  CAS  Google Scholar 

  48. Ernst, W. E., Rakowsky, S. (1995) Phys. Rev. Lett. 74, 58; (1995)

    Article  CAS  Google Scholar 

  49. Ernst, W. E., Rakowsky, S. (1995) Ber. Bunsenges. Phys. Chem. 99, 441

    CAS  Google Scholar 

  50. Meiswinkel, R., Köppel, H. (1990) Chem. Phys. 144, 117

    Article  CAS  Google Scholar 

  51. Mayer, M., Cederbaum, L. S., Köppel, H. (1996) J. Chem. Phys. 104, 8932.

    Article  CAS  Google Scholar 

  52. Dynamical Jahn-Teller Effect in Localized Systems (1984) Eds. Perlin, Yu. E.; Wagner, M., Elsevier, Amsterdam. 32. Fackler, J. P., Jr. (1994) In Encyclopedia of Inorganic Chemistry , Ed. King, R. B., Wiley, New York

    Google Scholar 

  53. Bersuker, I. B., Borshch, S. A. (1992) Adv. Chem. Phys. 81, 703

    Article  CAS  Google Scholar 

  54. Borshch, S. A., Blominar, E. L., Blondin, G., Girerd, J.-J. (1993) JAmer. Chem. Soc. 115, 5155

    Article  CAS  Google Scholar 

  55. Duclusand, H., Borshch, S. A. (1998) Chem. Phys. Lett. 290, 526.

    Article  Google Scholar 

  56. Bersuker, I. B. (1995) Ferroelectrics 164, 75.

    Article  CAS  Google Scholar 

  57. Kaplan, M.D., Vekhter, B. G. (1995) Cooperative Phenomena in Jahn-Teller Crystals; Plenum Press, New York.

    Book  Google Scholar 

  58. Bednorz, J. G., Mueller, K. A. (1988) Revs. Modern Phys. 60, 585.

    Article  CAS  Google Scholar 

  59. Englman, R., Halperin, B. (1990) Physica C 169, 314.

    Article  CAS  Google Scholar 

  60. Chiu, Y. N., (1997-I) Phys. Rev. B, 55, 6022.

    Article  CAS  Google Scholar 

  61. Kristoffel, N. (1992) Ferroelectrics 130, 137.

    Article  CAS  Google Scholar 

  62. Bill, A., Kresin, V. Z. (1997) Zs. Phys. Chem. 201, 271.

    Article  Google Scholar 

  63. Bersuker, G. I., Goodenough, J. (1997) Physica C 274, 267

    Article  CAS  Google Scholar 

  64. Yu, J., Son, Y. W., Ihm, J. (2003) Physica C 338–339, 135.

    Article  Google Scholar 

  65. Millis, A. J., Shraiman, B. I., Mueller, R. (1996) Phys. Rev. B 54, 5405.

    Article  CAS  Google Scholar 

  66. Zang, J., Bishop, A. R., Roder, H. (1996) Phys. Rev. B 53, 8840.

    Article  Google Scholar 

  67. Booth, C. H. et al. (1998) Phys. Rev. Lett. 80, 853.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Bersuker, I.B. (2004). Reformulation of the Concept of Jahn-Teller Vibronic Coupling Effects in Theoretical Chemistry. In: Brändas, E.J., Kryachko, E.S. (eds) Fundamental World of Quantum Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0448-9_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0448-9_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6687-9

  • Online ISBN: 978-94-017-0448-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics