In order to account for the extra vibrational Raman bandwidths observe
d specifically for electronically excited molecules in solution, a new
model, the dynamic polarization model, has been introduced. In this m
odel, the vibrational frequency of a highly polarizable electronically
excited molecule in solution is stochastically modulated by the solve
nt-induced polarization. An olefinic C=C double bond is considered as
the simplest prototype, for which the carbon-carbon stretch frequency
can take values between the unpolarized (C=C) and the completely polar
ized (C+-C-) frequencies. The two-frequency exchange model is first in
troduced, followed by more general models. A focus is placed on the as
ymmetric exchange limit in which the solvent-induced polarization can
be treated as a perturbation, so that the effect of the dynamic polari
zation manifests as a shift of the peak position and an increase in th
e bandwidth of the original unperturbed C=C stretch vibrational band.
The experimental results on S-1 trans-stilbene are discussed, based on
the formulae derived.