Abstract
Using the rotational isomeric state theory, the unperturbed mean-square radius of gyration 〈S2〉 for the polymer chain considering the effect of a pair of side groups is derivated. If the spatial dimension (or the mass) of side groups and the mass difference of skeletal atoms are ignored, the expression is reduced to that of Flory and so forth. As an example, the numerical calculation of 〈S2〉 is executed for unperturbed poly(dimethylsiloxane). The molecular weight dependence of the mean-square radius of gyration is 〈S2〉/M=7.82×10−2 Å2 (g·mol)−1 which is in agreement with the experimental data. 〈S2〉/M=(7.7±0.3)×10−2 Å2 (g·mol)−1.
Similar content being viewed by others
Article PDF
References
Z. Zhiping, X. Jianmin, S. Xubing, and Y. Deyue, Eur. Polym. J., 28, 1339 (1992).
Z. Zhiping and Y. Deyue, J. Chem. Phys., 96, 4792 (1992).
G. D. Wignall, D. G. H. Ballard, and J. Schelten, Eur. Polym. J., 10, 961 (1974).
K. Venkataswamy, A. M. Jamieson, and R. G. Petschek, Macromolecules, 19, 124 (1986).
Y. Tamai, T. Konishi, Y. Einaga, M. Fujii, and H. Yamakawa, Macromolecules, 23, 4067 (1990).
A. Zirkel, V. Urdor, and D. Richter, Macromolecules, 25, 6148 (1992).
P. J. Flory, “Statistical Mechanics of Chain Molecules,” Interscience, New York, 1969.
P. J. Flory, Macromolecules, 7, 381 (1974).
P. J. Flory and D. Y. Yoon, J. Chem. Phys., 61, 5358 (1974).
Z. Zhiping, Y. Deyue, and T. Aoqing, Acta Chemica Sinica (Chinese), 50, 313 (1992).
Z. Linxi and G. Kuiqi, Eur. Polym. J., 29, 1339 (1993).
J. E. Mark, Macromolecules, 11, 627 (1978).
J. G. Zilliox, J. E. L. Roovers, and S. Bywater, Macromolecules, 8, 573 (1975).
C. L. Lee and F. A. Emerson, J. Polym. Sci., A-2, 5, 829 (1967).
P. J. Flory, V. Crescenzi, and J. E. Mark, J. Am. Chem. Soc., 86, 146 (1964).
I. Bahar, I. Zuniga, R. Dodge, and W. L. Mattice, Macromolecules, 24, 2993 (1991).
I. Bahar, I. Zuniga, R. Dodge, and W. L. Mattice, Macromolecules, 24, 2986 (1991).
J. A. Darsey, Macromolecules, 23, 5274 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ma, H., Xu, J. Mean-Square Radius of Gyration of Poly(dimethylsiloxane) Chain with Side Groups. Polym J 26, 779–785 (1994). https://doi.org/10.1295/polymj.26.779
Issue Date:
DOI: https://doi.org/10.1295/polymj.26.779