Multiple lines of conical intersections and nondegenerate ground state in T⊗t2 Jahn-Teller systems

Journal of Chemical Physics

Volumn 112, Issue 19, 2000, Pages 8470-8482

  Koizumi, Hiroyasu ^a,c   Bersuker, Isaac B ^a   Boggs, James E ^a   Polinger, Victor Z ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c UNIVERSITY OF HYOGO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000898632     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481449     Document Type: Article

References (34)

1. R. Englman, The Jahn-Teller Effect in Molecules and Crystals (Wiley, New York, 1972).
2. I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals (Springer, New York, 1989).
3. G. Herzberg and H. C. Longuet-Higgins, Discuss. Faraday Soc. 35, 77 (1963).
4. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
5. H. C. Longuet-Higgins, U. Öpik, M. H. L. Pryce, and R. A. Sack, Proc. R. Soc. London, Ser. A 244, 1 (1958).
6. F. M. Ham, Phys. Rev. Lett. 58, 725 (1987).
7. M. C. M. O'Brien, J. Phys. A 22, 1779 (1989).
8. F. M. Ham, J. Phys.: Condens. Matter 2, 1163 (1990).
9. M. Caner and R. Englman, J. Chem. Phys. 44, 4054 (1966).
10. M. C. P. Moate, M. C. M. O'Brien, J. L. Dunn, C. A. Bates, Y. M. Liu, and V. Z. Polinger, Phys. Rev. Lett. 77, 4362 (1996).
11. I. B. Bersuker, Opt. Spectrosc. 11, 319 (1961); Zh. Eksp. Teor. Fiz. 43, 1315 (1962) [English translation: Sov. Phys. JETP 16, 933 (1963)].
12. I. B. Bersuker, Opt. Spectrosc. 11, 319 (1961); Zh. Eksp. Teor. Fiz. 43, 1315 (1962) [English translation: Sov. Phys. JETP 16, 933 (1963)].
13. I. B. Bersuker, Opt. Spectrosc. 11, 319 (1961); Zh. Eksp. Teor. Fiz. 43, 1315 (1962) [English translation: Sov. Phys. JETP 16, 933 (1963)].
14. H. Koizumi and I. B. Bersuker, Phys. Rev. Lett. 83, 3009 (1999).
15. See, for example, Sec. 3.3. of Ref. 2. Note that √3/2 in Eq. (3.3.2) should be √2/2.
16. 1/2, respectively, where ℏω and m are the energy quantum and mass for the three-dimensional harmonic oscillator, respectively.
17. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1954), App. VIII.
18. S. Muramatsu and T. Iida, J. Phys. Chem. Solids 31, 2209 (1970).
19. I. B. Bersuker and V. Z. Polinger, Phys. Lett. A 44, 495 (1973); Zh. Eksp. Teor. Fiz. 66, 2078 (1974).
20. I. B. Bersuker and V. Z. Polinger, Phys. Lett. A 44, 495 (1973); Zh. Eksp. Teor. Fiz. 66, 2078 (1974).
21. J. W. Zwanziger and E. R. Grant, J. Chem. Phys. 87, 2954 (1987).
22. For more details, see, for example, M. Nakahara, Geometry, Topology and Physics (Adam Hilger, New York, 1990).
23. C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).
24. B. P. Martinenas and R. S. Dagis, Teor. Eksp. Khim. 5, 123 (1969). See Section 4.3.4 of Ref. 2 for the generalized and improved Eq. (4.19).
25. h) states.
26. N. Balabanov, thesis, Ivanovo State University for Chemical Sciences and Technology, Ivanovo, Russia, 1998.
27. R. G. Sadygov and D. R. Yarkony, J. Chem. Phys. 110, 3639 (1999).
28. D. R. Yarkony, J. Chem. Phys. 111, 4906 (1999).
29. R. F. Frey and E. R. Davidson, J. Chem. Phys. 88, 1775 (1988).
30. I. B. Bersuker, New J. Chem. 4, 139 (1980); Fiz. Tverd. Tela (Leningrad) 30, 1738 (1988); in Electron-Phonon Dynamics and John-Teller Effect, edited by G. Bevilacqua, L. Martinelli, and N. Terzi (World Scientific, Singapore, 1999), pp. 63-71.
31. I. B. Bersuker, New J. Chem. 4, 139 (1980); Fiz. Tverd. Tela (Leningrad) 30, 1738 (1988); in Electron-Phonon Dynamics and John-Teller Effect, edited by G. Bevilacqua, L. Martinelli, and N. Terzi (World Scientific, Singapore, 1999), pp. 63-71.
32. I. B. Bersuker, New J. Chem. 4, 139 (1980); Fiz. Tverd. Tela (Leningrad) 30, 1738 (1988); in Electron-Phonon Dynamics and John-Teller Effect, edited by G. Bevilacqua, L. Martinelli, and N. Terzi (World Scientific, Singapore, 1999), pp. 63-71.
33. H. Koizumi, T. Hotta, and Y. Takada, Phys. Rev. Lett. 80, 4518 (1998).
34. H. Koizumi, Phys. Rev. B 59, 8428 (1999).