Abstract
The preceding theory of gelation is extended to the multilink system of the R–Ag+R–Bf−g model, where the branching process proceeds forming junction points each comprising of J/2 A FU’s and J/2 B FU’s. We show that there exists a neat solution of the ring concentration for this generalized system; the mathematics is identical with the previous finding, but the expression is greatly simplified. Making use of this result together with the random distribution assumption of cyclic bonds, we derive the closed expression of the gel point for this new gelling system which is expected to have wider application.
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F. Tanaka, J. Polym. Sci., Part B: Polym. Phys., 41, 2405 (2003).
F. Tanaka, J. Polym. Sci., Part B: Polym. Phys., 41, 2413 (2003).
K. Suematsu, Phys. Chem. Chem. Phys., 4, 4161 (2002).
K. Suematsu, Adv. Polym. Sci., 156, 137 (2002).
K. Suematsu, Macromolecular Theory Simul., 12, 476 (2003).
K. Suematsu, J. Phys. Soc. Jpn., 75, 064802 (2006).
W. Fink, J. Paint Technol., 42, 220 (1970).
P. J. Flory, “Principles of Polymer Chemistry,” Cornell University Press, Ithaca, New York, 1953.
J. L. Spouge, Proc. R. Soc. London, Ser. A, 387, 351 (1983).
J. L. Spouge, J. Stat. Phys., 43, 363 (1986).
M. Gordon, T. C. Ward, and R. S. Whitney, “Polymer Networks: Structure and Mechanical Properties, Proceedings of the ACS Symposium on Highly Cross-Linked Polymer Networks,” A. J. Chompff and S. Newman, Ed., Plenum Press, New York-London, 1971, pp 1–21.
S. B. Ross-Murphy, J. Polym. Sci., Polym. Symp., 53, 11 (1975).
L. L. Wile, Ph.D. dissertation, Columbia University, New York, 1945.
M. Gordon and G. R. Scantlebury, J. Chem. Soc. B. Phys. Org., 1 (1967).
M. Ilavsky and K. Dusek, Macromolecules, 19, 2139 (1986).
M. Ilavsky and K. Dusek, Polymer, 24, 981 (1983).
L. Matejka and K. Dusek, Polym. Bull., 3, 489 (1980).
M. Ilavsky, H. W. Ulmer, K. te Nijenhuis, and W. J. Mijs, Eur. Polym. J., 37, 887 (2001).
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Suematsu, K. Gelation in Multiple Link System of the R–Ag+R–Bf−g Model:To Find a Neat Solution for Cyclic Concentration. Polym J 38, 1220–1229 (2006). https://doi.org/10.1295/polymj.PJ2006061
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DOI: https://doi.org/10.1295/polymj.PJ2006061