The effect of a low frequency intramolecular vibration on the nonstationary fluorescence spectrum of a molecule and the dynamics of the Stokes shift is analyzed in the framework of the nonstationary perturbation theory based on the operator of the interaction energy of the electric field of the exciting pump pulse with a dissolved molecule. Using a well-tested spin-boson model, which takes into account not only the reorganization of the relaxation polarization modes of the medium, but also intramolecular vibrations, an analytical expression for the time-resolved fluorescence signal is written, and the conditions under which the oscillations of the maximum of nonstationary fluorescence spectra can manifest themselves are analyzed. It is shown that the reorganization of the medium does not suppress the oscillations of the spectrum maximum.
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