Abstract
The reaction rates for the diffusion-controlled ring closure reaction of polymers are calculated exactly based on the harmonic spring model. This is done in the limit of infinitely high intrinsic rate constant. The results are compared with those obtained by the closure approximation of Wilemski and Fixman. Both are found to be in relatively good agreement. The validity of their approximation is discussed. Finally, a simple physical interpretation is given for the present results.
Similar content being viewed by others
Article PDF
References
J. C. Wang and N. Davidson, J. Mol. Biol., 19, 469 (1966).
N. Goodman and H. Morawetz, J. Polym. Sci., Part A-2, 9, 1657 (1971).
M. Sisido, Polym. J., 3, 84 (1972).
G. Wilemski and M. Fixman, J. Chem. Phys., 60, 886 (1974).
G. Wilemski and M. Fixman, J. Chem. Phys., 60, 878 (1974).
R. M. Noyes, Prog. React. Kinet., 1, 129 (1961).
W. Strieder and R. Aris, “Variational Method Applied to Problems of Diffusion and Reaction,” Springer-Verlag, Berlin–Heidelberg–New York, 1973, Chapter 3.
M. Doi, Chem. Phys., 9, 455 (1975).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sunagawa, S., Doi, M. Theory of Diffusion-Controlled Intrachain Reactions of Polymers. Polym J 7, 604–612 (1975). https://doi.org/10.1295/polymj.7.604
Issue Date:
DOI: https://doi.org/10.1295/polymj.7.604
Keywords
This article is cited by
-
Kinetics of Diffusing Polymer Encounter in Confined Cellular Microdomains
Journal of Statistical Physics (2013)
-
Non-Markovian polymer reaction kinetics
Nature Chemistry (2012)