Forward and reverse electronic energy transport and trapping in solution. I. Theory Original Research Article

A theoretical study of forward and reverse incoherent transport and trapping of electronic excitations in a two-component disordered system is carried out. The method used is the diagrammatic expansion of the configuration averaged Green function of the master equation for this problem. A new summation method based on the fractal structure of multigraphs with nodes allowing the calculation of the investigated infinite series is introduced. The results of an exact diagrammatic analysis are presented. The donor fluorescence decay function, relative quantum yield and emission anisotropy are obtained using the self-consistent approximation.