Theoretical treatment of non-vibrationally-relaxed electron transfer in organic solar cells

In this work we shall show how to calculate the single vibronic- level electron transfer rate constant, which will be compared with the thermal averaged one. To apply the theoretical results to the dye- sensitized nano-crystalline semiconductor (Gr\"{a}tzel type) solar cells, we use a simple model to describe how we model the final state of the eletron- transfer process (oxidized dye and reduced semiconductor). Numerical calculations of the single-level electron transfer rate constants and the simulation of the quantum beat in the photo-excited state and the product state will be performed to demonstrate the theoretical results.