Abstract
Small angle X-ray scattering and light scattering from linear and branched polymers in a good solvent were measured to study the concentration dependence of correlation length ξ over a wide range of concentration and the effects of branching on ξ. The concentration dependence of ξ of linear polymers in semidilute solutions is well explained by the scaling theory and the reduced correlation length ξ/‹s2›1/2 of linear polymers is found to be an universal function of the degree of coil-overlapping C/C* over wide ranges of molecular weight and concentration in semidilute solutions as predicted by the scaling theory. The effects of branching are found to be not so remarkable that ξ of branched polymers is almost equal to that of linear polymers in the same concentration.
Similar content being viewed by others
Article PDF
References
I. Noda, N. Kato, T. Kitano, and M. Nagasawa, Macromolecules, 14, 668 (1981).
J. des Cloizeaux and I. Noda, Macromolecules, 15, 1505 (1982).
I. Noda, Y. Higo, N. Ueno, and T. Fujimoto, Macromolecules, 17, 1055 (1984).
J. des Cloizeaux, J. Phys. (Paris) 36, 281 (1975).
M. Daoud, J. P. Cotton, B. Farnoux, G. Jannink, G. Sama, H. Benoit, C. Dupplessix, C. Picot, and P. G. de Gennes, Macromolecules, 8, 804 (1975).
P. G. de Gennes, “Scaling Concepts in Polymer Physics,” Cornell University Press, Ithaca, N. Y., 1980.
Y. Higo, N. Ueno, and I. Noda, Polym. J., 15, 367 (1983).
M. Daoud and J. P. Cotton, J. Phys. (Paris) 43, 531 (1982).
P. Wiltzius, H. R. Haller, D. S. Cannell, and D. W. Sheafer, Phys. Rev. Lett., 51, 1183 (1983).
F. Hamada, S. Kinugasa, M. Hayashi, and A. Nakajima, Macromolecules, 18, 2290 (1985).
T. Kato, K. Miyaso, I. Noda, T. Fujimoto, and M. Nagasawa, Macromolecules, 3, 777 (1970).
I. Noda, T. Horikawa, T. Kato, T. Fujimoto, and M. Nagasawa, Macromolecules, 3, 795 (1970).
Y. Muroga, I. Sakuragi, I. Noda, and M. Nagasawa, Macromolecules, 17, 1844 (1984).
S. F. Edwards, Proc. R. Soc. London, Ser. A, 88, 265 (1966).
G. Jannink and P. G. de Gennes, J. Chem. Phys., 48, 225 (1968).
H. Benoit and M. Benmouna, Polymer, 25, 1059 (1984).
J. T. Koberstein, C. Picot, and H. Benoit, Polymer, 26, 673 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yukioka, S., Higo, Y., Noda, I. et al. Correlation Lengths of Linear and Branched Polymers in a Good Solvent. Polym J 18, 941–946 (1986). https://doi.org/10.1295/polymj.18.941
Issue Date:
DOI: https://doi.org/10.1295/polymj.18.941