A theory of diffusion-controlled intramolecularly catalyzed reactions of polymer chains in dilute solution is formulated. A closure approximation yields a soluble integral equation for (essentially) the transient rate of the reaction. The time dependent solution consists of a sum of simple exponential terms whose coefficients and decay constants can be readily calculated. The theory is also applied to luminescence quenching and ring-chain interconversion.
G. Wilemski and M. Fixman, "Diffusion-Controlled Intrachain Reactions of Polymers. I Theory," Journal of Chemical Physics, vol. 60, no. 3, pp. 866-877, American Institute of Physics (AIP), Feb 1974.
The definitive version is available at https://doi.org/10.1063/1.1681162
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