Abstract
A theory of electronic transitions from a non-degenerated to a two-fold degenerated or quasi-degenerated electronic state in an impurity centre of a crystal is proposed. The coupling of optical electron(s) with non-totally symmetrical vibration(s) and with phonons are taken into account. The latter interaction results in the replacement of vibronic lines by phonon-assisted bands. The widths of bands, the rates of the energy relaxation of vibronic states and the shapes of optical spectra are calculated for some values of parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Jahn HA, Teller E (1937) Proc R Soc Lond Ser A 161:220
Longuet-Higgins HC, Opik U, Pryce MH, Sack RA (1958) Proc R Soc A 244:1
Englman R (1972) The Jahn-Teller effect in molecules and crystals. Wiley-Interscience, New York
Bersuker IB (2006) The Jahn–Teller effect. Cambridge University Press, Cambridge
Fischer G (1984) Vibronic coupling. Academic, San Diego
Bersuker IB, Polinger VZ (1989) Vibronic interactions in molecules and crystals. Springer, Berlin
Perrin MH, Gouterman M (1967) J Chem Phys 46:1019
van der Waals JH, Berghuis AMD, de Groot MS (1967) Mol Phys 13:301
Zgierski MZ, Pawlikowski M (1979) J Chem Phys 70:3444
Domcke W, Yarkony DR, Köppel H (eds) (2004) Conical intersections: electronic structure, dynamics and spectroscopy. Word Scientific, Singapore
Meyer HD, Manthe U, Cederbaum LS (1990) Chem Phys Lett 165:73
Manthe U, Meyer HD, Cederbaum LS (1992) J Chem Phys 97:3199
Beck M, Jäckle A, Worth GA, Meyer HD (2000) Phys Rep 324:1
Meyer HD, Worth GA (2003) Theor Chem Acc 109:251
Köppel H, Yarkony DR, Barentzen H (eds) (2009) Fundamentals and implications for physics and chemistry. Springer, Berlin/Heidelberg
Köppel H, Döscher IM, Baldea I, Meyer HD, Szalay P (2002) J Chem Phys 117:2657
Gindensperger E, Baldea I, Franz J, Köppel H (2007) Chem Phys 338:207
Faraji S, Meyer HD, Köppel H (2008) J Chem Phys 129:074311
Nooijen M, Snijders JG (1992) Int J Quantum Chem S 26:55
Stanton JF, Gauss J (1994) J Chem Phys 101:8938
Fulton R, Gauterman M (1961) J Chem Phys 35:1059; (1964) 41:2280
Loorits V (1979) Projavlenij rezonansa Fermi v opticheskih spektrah psevdo-effekta Jana-Tellera, Akademija Nauk ESSP, Otdelenije fiziko-matematicheskih hauk, Preprint F-11
Loorits V (1980) Izv Akad Nauk ESSR Fiz-Mat 29:208
O’Brien MCM, Evangelou SN (1980) Solid State Commun 36:29
Hizhnyakov V, Kristoffel N (1984) Jahn-Teller mercury-like impurities in ionic crystals. In: Perlin YuE, Wagner M (eds) The dynamical Jahn-Teller effect in localized systems. North-Holland, Amsterdam, pp 383–438
Toyozawa Y, Inoue W (1966) J Phys Soc Jpn 21:1663
Acknowledgements
The research was supported by the ETF grants TLOFY0145 and GLOFY7741.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Hizhnyakov, V., Pae, K., Vaikjärv, T. (2011). Vibronic Transitions to a State with Jahn-Teller Effect: Contribution of Phonons. In: Atanasov, M., Daul, C., Tregenna-Piggott, P. (eds) Vibronic Interactions and the Jahn-Teller Effect. Progress in Theoretical Chemistry and Physics, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2384-9_9
Download citation
DOI: https://doi.org/10.1007/978-94-007-2384-9_9
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2383-2
Online ISBN: 978-94-007-2384-9
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)