Abstract
Light-scattering and intrinsic-viscosity data are presented for fractions of poly(p-bromostyrene) in monochlorobenzene and dioxane at 30°C, and in benzene at temperatures ranging from 25 to 50°C. The theta temperature for this polymer in benzene is 26.3°C. With the data for the statistical-radius expansion factor αs and the interpenetration function Ψ appearing in the second virial coefficient, the agreement between theory and experiment is examined with respect to the same two criteria as those employed in the previous study on poly(p-methylstyrene). The Yamakawa–Tanaka theory of αs and also the modified Flory theory are again found to satisfy both criteria. The data also reproduce the relationship between the cubed viscosity-radius expansion factor αη3 and the excluded-volume parameter z if z is estimated using the Yamakawa–Tanaka equation for αs. Specifically, the first-order perturbation theory of αη3 recently developed by Yamakawa and Tanaka compares well with the data near the theta temperature. The recent critical comments by Isihara and Nagasawa are also replied to.
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References
G. C. Berry, J. Chem. Phys., 44, 4550 (1966).
G. C. Berry, J. Chem. Phys., 46, 1338 (1967).
T. Norisuye, K. Kawahara, A. Teramoto, and H. Fujita, J. Chem. Phys., 49, 4330 (1968).
K. Kawahara, T. Norisuye, and H. Fujita, J. Chem. Phys., 49, 4339 (1968).
G. Tanaka, S. Imai, and H. Yamakawa, J. Chem. Phys., 52, 2639 (1970).
T. Kato, K. Miyaso, I. Noda, T. Fujimoto, and M. Nagasawa, Macromolecules, 3, 777 (1970).
I. Noda, K. Mizutani, T. Kato, T. Fujimoto, and M. Nagasawa, Macromolecules, 3, 787 (1970).
P. J. Flory and S. Fisk, J. Chem. Phys., 44, 2243 (1966).
H. Yamakawa, J. Chem. Phys., 48, 2103 (1968).
P. J. Flory, J. Chem. Phys., 17, 303 (1949).
W. H. Stockmayer, Makromol. Chem., 35, 54 (1960).
H. Yamakawa and G. Tanaka, J. Chem. Phys., 47, 3991 (1967).
R. Yeh and A. Isihara, J. Polym. Sci., Part A-1, 8, 861 (1970).
Y. Noguchi, A. Aoki, G. Tanaka, and H. Yamakawa, J. Chem. Phys., 52, 2651 (1970).
“International Critical Tables,” Vol. III, E. W. Washburn, Ed., McGraw-Hill Book Co., New York, 1928, pp 27 and 29.
H. Fujita, Polym. J., 1, 537 (1970).
P. Debye, J. Phys. Colloid Chem., 51, 18 (1947).
H. Utiyama and Y. Tsunashima, J. Chem. Phys., to be published. See also the papers cited therein.
B. H. Zimm and I. Myerson, J. Am. Chem. Soc., 68, 911 (1946).
P. J. Flory and T. G. Fox, J. Am. Chem. Soc., 73, 1904 (1951).
P. J. Flory and W. R. Krigbaum, J. Chem. Phys., 18, 1086 (1950).
T. A. Orofino and P. J. Flory, J. Chem. Phys., 26, 1067 (1957).
M. Kurata, M. Fukatsu, H. Sotobayashi, and H. Yamakawa, J. Chem. Phys., 41, 139 (1964).
Y. Tagami and E. F. Casassa, J. Chem. Phys., 50 2206 (1969).
A. C. Albrecht, J. Chem. Phys., 27, 1002 (1957).
M. Fixman, J. Chem. Phys., 23, 1656 (1955).
O. B. Ptitsyn, Vysokomol. Soedin., 3, 1673 (1961).
H. Fujita and T. Norisuye, J. Chem. Phys., 52, 1115 (1970).
T. Norisuye, K. Kawahara, and H. Fujita, J. Polym. Sci., Part B, 6, 849 (1968).
N. Kuwahara, K. Ogino, A. Kasai, S. Ueno, and M. Kaneko, J. Polym. Sci., Part A, 3, 985 (1965).
R. B. Mohite, S. Gundiah, and S. L. Kapur, Makromol. Chem., 116, 280 (1968).
M. Kurata and H. Yamakawa, J. Chem. Phys., 29, 311 (1958).
M. Fixman, J. Chem. Phys., 45, 785 (1966).
M. Fixman, J. Chem. Phys., 45, 793 (1966).
H. D. Stidham and M. Fixman, J. Chem. Phys., 48, 3092 (1968).
H. Yamakawa and G. Tanaka, J. Chem. Phys., to be published.
B. H. Zimm, J. Chem. Phys., 24, 269 (1956).
J. E. Hearst, J. Chem. Phys., 37, 2547 (1962).
M. Kurata, H. Yamakawa, and E. Teramoto, J. Chem. Phys., 28, 785 (1958).
H. Yamakawa, J. Chem. Phys., 53, 436 (1970).
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Takashima, K., Tanaka, G. & Yamakawa, H. Further Test of the Two-Parameter Theory of Dilute Polymer Solutions: Poly(p-bromostyrene). Polym J 2, 245–256 (1971). https://doi.org/10.1295/polymj.2.245
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DOI: https://doi.org/10.1295/polymj.2.245