Electron transfer (ET) reactions are of great importance to nearly every subdiscipline of chemistry. Marcus classical model, quantum model treating the nuclei as a quantum system, and the semiclassical model neglecting the nuclear tunneling effects but taking the nonadiabatic transition between two electronic states into account, have been widely used in the kinetic research of ET reactions. For the symmetric double-well potential vs. the nuclear configuration Q along the reaction path (fig.1(a)), a semiclassical kinetic model under Electron transfer (ET) reactions are of great importance to nearly every subdiscipline of chemistry. Marcus classical model, quantum model treating the nuclei as a quantum system, and the semiclassical model neglecting the nuclear tunneling effects but taking the nonadiabatic transition between two electronic states into account, have been widely used in the kinetic research of ET reactions. For the symmetric double-well potential vs. the nuclear configuration Q along the reaction path (fig.1 (a)), a semiclassical kinetic model under