Time delays and diffusion controlled reactions

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Abstract
The theory of diffusion controlled recombination of photolysis products is reconsidered and extended to reaction mechanisms with a time delay built in. Quantum yields for photodissociation turn out to be complete independent of the time delay, and, to a certain extent, of whether the random walk or Bronwnian motion theory of diffusion, i.e., whether the Smoluchowski or telegrapher’s equation, is used. Once the time dependence is considered, damped oscillatory phenomena appear that are a direct consequence of the time delay. Methods of introducing the structure of the solvent and hydrodynamic corrections to the diffusion tensor are taken up briefly in the Appendix.