  Vibrational energy relaxation (VER) of a selected mode in cytochrome c
(hemeprotein) in vacuum is studied using two theoretical approaches: One is the
equilibrium simulation approach with quantum correction factors, and the other
is the reduced model approach which describes the protein as an ensemble of
normal modes coupled with nonlinear coupling elements. Both methods result in
estimates of VER time (sub ps) for a CD stretching mode in the protein at room
temperature, that are in accord with the experimental data of Romesberg's
group. The applicability of the two methods is examined through a discussion of
the validity of Fermi's golden rule on which the two methods are based.
