A consistent theory of electron transfer
symmetry breaking (SB)
dynamics in excited quadrupolar molecules in polar solvents is developed.
The interaction of the electronic subsystem of the molecule with intramolecular
degrees of freedom and solvent polarization is taken into account
and is divided into interaction with inertial and inertialess degrees
of freedom. A strong influence of the inertialess polarization of
the solvent on the extent of symmetry breaking is revealed. The theory
is nonlinear due to the equilibration of inertialess degrees of freedom
to the solute electronic state. The interaction of a molecule with
the inertial solvent polarization is described in terms of a single
variablethe reaction coordinate, for which a rigorous definition
is given. The free energy of the system is derived, and the motion
of the system along the reaction coordinate is modeled by the Smoluchowski
equation. The theory is adapted to describe the dynamics of SB in
real solvents characterized by several relaxation time scales. Conditions
for the applicability of a much simpler stationary SB model are formulated.
The role of thermal fluctuations in the solvent polarization is clarified.
Instead of the magnitude of the dissymmetry parameter, a distribution
function of molecules over this parameter is introduced. An analysis
of the Franck–Condon state created by a short pump pulse shows
that it has distinct features of a state with broken symmetry for
a wide range of parameters. Thermal fluctuations of the solvent polarization
are shown to crucially affect SB.