Abstract
The dynamics of radiationless transitions in large molecules interacting with the surroundings is determined by the dense discrete spectrum of final states {R n }, close in energy to the initial state s, and by the sets of SR-coupling matrix elements and the decay rate constants of S and {R n }. It has been shown that the shape and the fine structure of the absorption band of the optical transition from the ground to the initial state S ← S 0 makes it possible to find the characteristic function of these three distributions. The transformation of the regular spectrum into the stochastic one has been considered.
Similar content being viewed by others
References
User, T. and Miller, W.H., Phys. Rep., 1991, vol. 199, p. 73.
Grigolini, P., Quantum Mechanical Irreversibility, Singapore: World Scientific, 1993.
Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., and Zwerger, M., Rev. Mod. Phys., 1987, vol. 59, p. 1.
Weiss, U., Quantum Dissipative Systems, Singapore: World Scientific, 1999.
Benderskii, V.A., Makarov, D.E., and Wight, C.A., Chemical Dynamics at Low Temperatures, New York: Wiley, 1994.
Mukamel, S., Principles of Nonlinear Spectroscopy, New York: Oxford Univ. Press, 1995.
Feyer, M.D., Ultrafast Infrared and Raman Spectroscopy, New York: Marcel Dekker, 2001.
Leitner, D.M., Adv. Chem. Phys., 2005, vol. 130B, p. 205.
Hochstrasser, R.M., Proc. Natl. Acad. Sci. U.S.A., 2007, vol. 104, p. 14190.
Kurochkin, D.V., Naraharisetty, S.R.G., and Rubtsov, I.V., Proc. Natl. Acad. Sci. U.S.A., 2007, vol. 104, p. 14209.
Rubtsov, I.V., Acc. Chem. Res., 2009, vol. 42, p. 1385.
Mukamel, S., J. Chem. Phys., 2009, vol. 130, p. 054110.
Joeux, M., Farantos, S.C., and Schinke, R., J. Phys. Chem. A, 2002, vol. 106, p. 5407.
Fesko, C.J., Eaves, J.D., Loparo, J.J., Tokmakoff, A., and Geissler, P.L., Science, 2003, vol. 301, p. 1698.
Khalil, M., Demirdoven, N., and Tokmakoff, A., J. Chem. Phys., 2004, vol. 121, p. 362.
Benderskii, A.V. and Eisenthal, K.B., J. Phys. Chem. A, 2002, vol. 106, p. 7482.
Ben-Nun, M., Molnar, F., Lu, H., Phillips, J.C., Martinez, T.J., and Schulten, K., Faraday Discuss., 1998, vol. 110, p. 447.
Hayashi, S., Tajkhorshid, E., and Schulten, K., Biophys. J., 2003, vol. 85, p. 1440.
Wang, Z., Carter, J.A., Laguchev, A., Koh, Y.K., Seong, N.H., Cahil, D.C., and Dlott, D.D., Science, 2007, vol. 317, p. 787.
Carter, J.A., Wang, Z., and Dlott, D.D., Acc. Chem. Res., 2009, vol. 42, p. 1343.
Hochstrasser, D., Mertens, F.G., and Buttner, H., Phys. Rev. A, 1989, vol. 40, p. 2602.
Zaslavsky, G.M., Chaos in Dynamical Systems, New York: Harwood, 1985.
Tabor, M., Chaos and Integrability in Nonlinear Dynamics, New York: Wiley, 1989.
Zwanzig, R., Lectures Theor. Phys., 1960, vol. 3, p. 106.
Lin, Z., Keiffer, P., and Rubtsov, I.V., J. Phys. Chem. B, 2011, vol. 115, p. 5347.
Benderskii, V.A., Fal’kovskii, L.A., and Kats, E.I., Pis’ma Zh. Eksp. Teor. Fiz., 2007, vol. 86, p. 249.
Benderskii, V.A, Gak, L.N., and Kats, E.I., Zh. Eksp. Teor. Fiz., 2009, vol. 135, p. 176.
Benderskii, V.A., Gak, L.N., and Kats, E.I., Zh. Eksp. Teor. Fiz., 2009, vol. 136, p. 589.
Benderskii, V.A. and Kats, E.I., Pis’ma Zh. Eksp. Teor. Fiz., 2008, vol. 88, p. 387.
Benderskii, V.A. and Kats, E.I., Khim. Fiz., 2009, vol. 28, p. 6.
Benderskii, V.A. and Kats, E.I., Eur. Phys. J. D, 2009, vol. 54, p. 597.
Benderskii, V.A. and Kats, E.I., Pis’ma Zh. Eksp. Teor. Fiz., 2010, vol. 92, p. 410.
Mehta, M.L., Random Matrices, New York: Academic, 1968.
Kota, V.K.B., Phys. Rep., 2001, vol. 347, p. 223.
Papenbrock, T. and Weidenmuller, H.A., Rev. Mod. Phys., 2007, vol. 79, p. 997.
Broude, V.L., Rashba, E.I., and Sheka, E.F., Spectroscopy of Molecular Excitons Moscow: Energoizdat, 1981.
Abrikosov, A.A., Gor’kov, L.P., and Dzyaloshinskii, I.E., Metody kvantovoi teorii polya v statisticheskoi fizike (Methods of Quantum Field Theory in Statistical Physics), Moscow: GIFML, 1962.
van Hove, L., Physica A, 1955, vol. 21, p. 517.
Landau, L.D. and Lifshitz, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1964.
Yu, L.H. and Sun, C.P., Phys. Rev. A, 1994, vol. 49, p. 592.
Yu, L.H., Phys. Rev. A, 1996, vol. 54, p. 3779.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Benderskii, 2011, published in Khimiya Vysokikh Energii, 2011, Vol. 45, No. 6, pp. 483–494.
Rights and permissions
About this article
Cite this article
Benderskii, V.A. Dynamics of radiationless transitions in large molecules: 1. Absorption spectra of adjoin reservoir states. High Energy Chem 45, 447–458 (2011). https://doi.org/10.1134/S0018143911060051
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018143911060051