Inertial solvent dynamics and the analysis of spectral line shapes: Temperature-dependent absorption spectrum of β-carotene in nonpolar solvent
- 1 March 2004
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 120 (9), 4344-4354
- https://doi.org/10.1063/1.1644534
Abstract
The influence of solventdynamics on optical spectra is often described by a stochastic model which assumes exponential relaxation of the time-correlation function for solvent-induced frequency fluctuations. In contrast, theory and experiment suggest that the initial (subpicosecond) phase of solvent relaxation, resulting from inertial motion of the solvent, is a Gaussian function of time. In this work, we employ numerical and analytical calculations to compare the predicted absorptionline shapes and the derived solvent reorganization energies obtained from exponential (Brownian oscillator) versus Gaussian (inertial) solventdynamics. Both models predict motional narrowing as the ratio κ=Λ/Δ is increased, where Λ and Δ are the frequency and variance, respectively, of the solvent-induced frequency fluctuations. However, the motional narrowing limit is achieved at lower values of κ for the Brownian oscillator model compared to the inertial model. For a given line shape, the derived value of the solvent reorganization energy λ solv is only weakly dependent on the solvent relaxation model employed, though different solvent parameters Λ and Δ are obtained. The two models are applied to the analysis of the temperature-dependent absorptionspectrum of β-carotene in isopentane and CS 2 . The derived values of λ solv using the Gaussian model are found to be in better agreement with the high temperature limit of Δ 2 /2k B T than are the values obtained using the Brownian oscillator model. In either approach, the solvent reorganization energy is found to increase slightly with temperature as a result of an increase in the variance Δ of the solvent-induced frequency fluctuations.Keywords
This publication has 48 references indexed in Scilit:
- Resonance Raman study of solvent dynamics in electron transfer. II. Betaine-30 in CH3OH and CD3ODThe Journal of Chemical Physics, 1997
- System−Bath Correlation Function Probed by Conventional and Time-Gated Stimulated Photon EchoThe Journal of Physical Chemistry, 1996
- The Brownian oscillator model for solvation effects in spontaneous light emission and their relationship to electron transferJournal of the American Chemical Society, 1994
- Solvation by nonpolar solvents: Shifts of solute electronic spectraThe Journal of Chemical Physics, 1993
- Ultrafast solvent dynamics: Connection between time resolved fluorescence and optical Kerr measurementsThe Journal of Chemical Physics, 1992
- Photon echoes of polyatomic molecules in condensed phasesThe Journal of Chemical Physics, 1991
- Electronic dephasing, vibrational relaxation, and solvent friction in molecular nonlinear optical line shapesThe Journal of Chemical Physics, 1988
- Normal‐coordinate analysis of retinal isomers and assignments of Raman and infrared bandsJournal of Raman Spectroscopy, 1983
- Time-dependent theory of Raman scatteringThe Journal of Chemical Physics, 1979
- Franck–Condon effects in resonance Raman spectra and excitation profilesThe Journal of Chemical Physics, 1979