Electron Transfer Dynamics in Solution Using Imaginary-time Split Operator Approach

An imaginary-time split operator approach is proposed to study electron transfer (ET) dynamics using Sumi-Marcus theory. The approach is applied to evaluate the intermolecular ET rate between oxazine 1 and N,N-dimethlaniline. By measuring the two average survival times of the donor state probability and the rate constant in long time limit, the full kinetics of the ET is revealed with a variety of sink functions. Several new properties for the ET have been found in numerical simulations.