Abstract
Light scattering was investigated for polystyrene over a wide molecular weight range in solvents of various thermodynamic strength in the concentration range lower and higher than (100/M) In all cases, the slope of the plots cK/Rθ=f(c) at c<100/M was close to horizontal. The concentration c0 in the range in which the slope of the plot cK/Rθ=f(c) passes from the quasi-horizontal to the “usual” vertical slope, is determined only by the molecular weight of the polymer and is virtually independent of the solvent. The excluded volume b and energy of attraction a of macromolecules are determined by using the two-parameter Van der Waals equation. The b0/VM ratio of the molar values of the excluded volume and the volume proper of macromolecules allows conclusions to be drawn about the degree of interpenetration of the macromolecules and its dependence on the molecular weight and the strength of the solvent. A relationship is established between the swelling coefficient αη of coils and the density ρ of segments in center of the zone of interpenetration of two macromolecules.
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References
V. E. Eskin, I. A. Baranovskaya, Vysokomol. Soedin., Ser. A, 19, 533 (1977).
I. A. Baranovskaya and V. E. Eskin, Vestnik of Leningrad University, No. 22, 159 (1969).
V. E. Eskin and I. A. Baranovskaya, Vysokomol. Soedin., Ser. A, 24, 2549 (1982).
V. E. Eskin., Vysokomol. Sodein., Ser. A, 26, 924 (1984).
I. A. Baranovskaya, U. S. Khundaiberdiev, and V. E. Eskin, Vysokomol. Soedin., Ser. B. 26, 243 (1984).
B. H. Zimm, J. Chem, Phys., 16, 1093 (1948).
P. J. Flory, “Principles of Polymer Chemistry,” Cornell Univ. Press, Ithaca, New York, 1953.
H. Yamakawa, “Modern Theory of Polymer Solution,” Harper & Row, New York, N. Y., 1971, Chapter 4.
V. E. Eskin, Vysokomol. Soedin., Ser. B, 23, 725 (1981).
A. Einstein, Annal. Phys., 33, 1275 (1910).
P. Debye, J. Chem. Phys., 31, 680 (1959).
A. Ishihara and T. Hayashida, J. Phys. Soc. Jpn., 6, 46 (1951).
Z. Tong, S. Ohashi, Y. Einaga and H. Fujita, Polym. J., 15, 835 (1983).
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Eskin, V., Baranovskaya, I. & Khudaiberdiev, U. Some New Properties of the Dilute Polymer Solutions I. Excluded Volume and Interpenetration of Macromolecules in Solutions. Polym J 18, 795–802 (1986). https://doi.org/10.1295/polymj.18.795
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DOI: https://doi.org/10.1295/polymj.18.795
