Electronic energy transfer between molecules diffusing on spherical particles: approximate expressions for the decay law of the donor

The problem of dipole–dipole energy transfer with diffusion on spherical particles is studied theoretically. Simple approximate expressions that can be used to predict or evaluate the effect of diffusion are obtained from a detailed numerical analysis of the diffusion equation. The results cover a wide range of situations, from the static limit to the rapid diffusion limit, and should apply to most energy transfer processes in spherical particles.