Fractal-Like, but Non-Fractal, Behavior of One Step Dipolar Energy Transfer on Regular Lattices with Excluded Volume

摘要

A simulation calculation is carried out for the time dependence of the donor intensity as one-step acceptor trapping process on a simple cubic lattice of interconnected rods of dimensions comparable to those found for the pores of Vycor (Corning Glass 7930). The donor and acceptor are allowed to occupy random sites on the surface of the pore. The results are fitted using the equations of Blumen and Klafter for energy transfer on a fractal structure. An 'apparent fractal' dimension, (d'), is determined which is shown to result from an excluded volume effect and is not due to a real fractal structure. (D') is found to depend slightly on time, the acceptor concentration, and the length:width of the pores. (Author)