The Jahn-Teller effect in chemistry

Bulletin of the Chemical Society of Japan

Volumn 80, Issue 7, 2007, Pages 1229-1240

  Ceulemans, Arnout ^a   Lijnen, Erwin ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE POINT GROUPS; GEOMETRICAL STRUCTURES;

EID: 36448960345     PISSN: 00092673     EISSN: 13480634     Source Type: Journal    
DOI: 10.1246/bcsj.80.1229     Document Type: Article

References (51)

1. H. A. Jahn, E. Teller, Proc. R. Soc. London 1937, A161, 220.
2. The JT effect in chemistry and physics is described in several monographs. See e.g.:
3. a) R. Englman, The John-Teller Effect in Molecules and Crystals, Wiley-lnterscience, London, 1972.
4. b) I. B. Bersuker, V. Z. Polinger, Vibronic Interactions in Molecules and Crystals, Springer, New York, 1989.
5. c) I. B. Bersuker, The Jahn-Teller Effect, Cambridge, Cambridge University Press, 2006.
6. An analogy may be found in a triangle of anti-ferromagnet-ically coupled spins, see: A. I. Popov, V. I. Plis, A. F. Popkov, A. K. Zvezdin, Phys. Rev. B: Condens. Matter 2004, 69, 104418.
7. T. Sato, L. F. Chibotaru, A. Ceulemans, J. Chem. Phys. 2005, 122, 054104.
8. R. Meiswinkel, H. Koppel, Chem. Phys. 1990, 144, 117.
9. M. A. Hitchman, W. Maaskant, J. van der Plas, C. J. Simmons, H. Stratemeier, J. Am. Chem. Soc. 1999, 121, 1488.
10. R. J. Al-Essa, R. J. Puddephatt, M. A. Quyser, C. F. H. Tipper, J. Am. Chem. Soc. 1979, 101, 364.
11. C. P. Casey, D. M. Scheck, A. J. Shusterman, J. Am. Chem. Soc. 1979, 101, 4233.
12. C. N. Wilker, R. Hoffmann, J. Am. Chem. Soc. 1983, 105, 5285.
13. A. Ceulemans, Polyhedron 1991, 10, 1587.
14. R. E. Stanton, J. W. Mc Iver, J. Am. Chem. Soc. 1975, 97, 3632.
15. H. C. Longuet-Higgins, Proc. R. Soc. London 1975, A344, 147.
16. M. V. Berry, Proc. R. Soc. London 1984, A392, 45.
17. S. C. Althorpe, J. Chem. Phys. 2006, 124, 084105.
18. I. B. Bersuker, V. Z. Polinger, Sov. Phys. JETP 1974, 39, 1023.
19. P. Murray-Rust, H.-B. Bilrgi, J. D. Dunitz, Acta Crystal-logr., Sect. A 1979, 161, 220.
20. A. Ceulemans, L. G. Vanquickenborne, Struct. Bonding 1989, 71, 125.
21. A. Ceulemans, J. Chem. Phys. 1986, 84, 6442.
22. M. Poliakoff, J. J. Turner, Angew. Chem., Int. Ed. 2001,40, 2809.
23. B. Davies, A. Mc Neish, M. Poliakoff, J. J. Turner, J. Am. Chem. Soc. 1977, 99, 7573.
24. M. Poliakoff, A. Ceulemans, J. Am. Chem. Soc. 1984, 106, 50.
25. A. Ceulemans, D. Beyens, L. G. Vanquickenborne, J. Am. Chem, Soc. 1984, 106, 5824.
26. P. L. W. Tregenna-Piggott, H. P. Andres, G. J. Mc Intyre, S. P. Best, C. C. Wilson, J. A. Cowan, lnorg. Chem. 2003, 42, 1350.
27. B. R. Judd, in Vibronic Processes in Inorganic Chemistry, ed. by C. D. Flint, NATO Advanced Science Institutes Series, Kluwer, Dordrecht, 1989, Vol. C288, p. 79.
28. T. Kodama, M. Kato, K. Mogi, M. Aoyagi, T. Kato, Mol. Phys. Rep. 1997, 18-19, 121.
29. A. Auerbach, N. Manini, E. Tosatti, Phys. Rev. 1994, B49, 12998.
30. N. B. Backhouse, P. Gard, J. Phys. A 1974, 7, 2101.
31. A. Ceulemans, P. W. Fowler, M. Szopa, Math. Proc. R. Ir. Acad. 1998, 98A, 139.
32. L. L. Boyle, Y. M. Parker, Mol. Phys. 1980, 39, 95. In the appendix of this reference, the second element in the third row of the C5 matrix for Tl should read - 1/2.
33. These generators correspond to the C5, C3, and C2 generator axes used in Ref. 29.
34. A. Ceulemans, P. W. Fowler, Phys. Rev. A: At, Mol, Opt. Phys. 1989, 39, 481.
35. P. R. Taylor, E. Bylaska, J. H. Weare, R. Kawai, Chem. Phys. Lett. 1995, 235, 558.
36. H. Prinzbach, F. Wahl, A. Weiler, P. Landenberger, J. Worth, L. T. Scott, M. Gelmont, F. Sommer, B. von Issendorff, Chem. Eur. J. 2006, 12, 6268.
37. K. Nakao, N. Kurita, M. Fujita, Phys. Rev. B: Condens. Matter 1994, 49, 11415.
38. R. B. King, M. V. Diudea, J. Math. Chem. 2006, 39, 597.
39. S. Nagase, K. Kobayashi, T. Akasaka, Bull, Chem. Soc. jpn. 1996, 69, 2131.
40. A. Ceulemans, P. W. Fowler, J. Chem. Phys. 1990, 93, 1221. The drawings labeled as Fig. 3 in this paper are erroneous. Figure 3a should be replaced by the drawing of the Petersen graph, and Figure 3b by its complement.
41. E. Lijnen, A. Ceulemans, Adv. Quantum Chem. 2003, 44, 183.
42. E. Lijnen, A. Ceulemans, Phys. Rev. B: Condens. Matter 2005, 71, 014305.
43. C. P. Moate, M. C. M. O'Brien, J. L. Dunn, C. A. Bates, Y. M. Liu, V. Z. Polinger, Phys. Rev. Lett. 1996, 77, 4362.
44. N. Manini, P. De Los Rios, Phys. Rev. B: Condens Matter 2000, 62, 29.
45. For a proof of the JT theorem, based on the point groups, see: E. Ruch, A. Schönhofer, Theor. Chim. Acta 1965, 3, 291. See also Ref. 24.
46. L. Blancafort, M. A. Robb, J. Phys. Chem. A 2004, 108, 10609.
47. Conical Intersections, ed. by W. Domcke, D. R. Yarkony, H. Köppel, Advanced series in Physical Chemistry, World Scientific, New Jersey, 2004, Vol. 15.
48. A. Ceulemans, /. Chem. Phys. 1987, 87, 5374.
49. Vibronic Interactions in Molecules and Crystals, Springer, New York, 1989, pp. 195-196.
50. A. Ceulemans, Top. Curr. Chem. 1994, 171, 27.
51. E. D. Savage, G. E. Stedman, Adv. Quantum Chem. 2003, 44, 21.