Abstract
This article presents an original algorithm for calculating, using the theory of branching processes, the probabilities of branched macromolecule fragments of different configurations. This multipurpose algorithm is illustrated for the simplest possible case of equilibrium homopolycondensation with due regard for substitution effects of various orders. The number of independent parameters of the kinetic model and experimental methods which may be used for determinating these parameters are discussed.
Similar content being viewed by others
Article PDF
References
S. I. Kuchanov, S. V. Korolev, and M. G. Slin’ko, Polym. J., 15, 775 (1983).
M. Gordon, Proc. R. Soc. London, Ser. A, 268, 240 (1962).
S. I. Kuchanov, “Metody Kineticheskikh Raschetov v Khimii Polimerov” (“Methods of Kinetic Calculations in the Chemistry of Polymers”), Khimiya, Moscow, 1978.
M. Gordon and G. R. Scantlebury, Trans. Faraday Soc., 60, 604 (1964).
S. V. Korolev, S. I. Kuchanov, and M. G. Slin’ko, Dokl. Akad. Nauk USSR, 258, 1157 (1981).
S. V. Korolev, S. I. Kuchanov, and M. G. Slin’ko, Dokl. Akad. Nauk USSR, 262, 1422 (1982).
S. V. Korolev, S. I. Kuchanov, and M. G. Slin’ko, Dokl. Akad. Nauk USSR, 263, 633 (1982).
M. Gordon and T. G. Parker, Proc. Roy. Soc. (Edinburg), Ser. A, 69, 181 (1971).
Ye. B. Brun and S. I. Kuchanov, Vysokomol. Soedin., Ser. A, 21, 1393 (1979).
S. I. Kuchanov, Dokl. Akad. Nauk USSR, 249, 899 (1979).
T. E. Harris, “The Theory of Branching Processes,” Springer Verlag, 1963.
P. Luby, J. Phys. Chem., 78, 1083 (1974).
M. Gordon and J. A. Torkington, Discrete Appl. Math., 2, 207 (1980).
I. J. Good, Proc. Cambridge Phil Soc., 61, 499 (1965).
M. Gordon and W. B. Temple, J. Chem. Soc. A, 729 (1970).
K. Kajiwara, J. Chem. Phys., 54, 296 (1971).
G. R. Dobson and M. Gordon, J. Chem. Phys., 41, 2389 (1964).
N. A. Plate, A. D. Litmanovich, and O. V. Noa, “Makromolekularnye Reaktsii” (“Macromolecular Reactions”), Khimiya, Moscow, 1977.
I. Ya. Slonim, et al., Vysokomol. Soedin., Ser. A, 19, 776 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Korolev, S., Kuchanov, S. & Slin’ko, M. The Theory of Branching Processes for a Description of the Configurational Statistics of Branched Polycondensate Polymers. Polym J 15, 785–795 (1983). https://doi.org/10.1295/polymj.15.785
Issue Date:
DOI: https://doi.org/10.1295/polymj.15.785
Keywords
This article is cited by
-
Configurational Effects in Statistical Theory of Branched Non-Random Polycondensation
Journal of Statistical Physics (2006)