Abstract
A semi-theoretical equation for the chain dimension in dilute solutions based on the perturbational mean field theory, α5-α3=vOM(1−θ/T)M1/2+v3(α-3-1) was proposed (α, the expansion factor; θ, the temperature at which the second virial coefficient of polymers A2=0; vOM and v3, phenomenological constant; M, the molecular weight; T, the absolute temperature). In derivation of the equation, the difference between θ (the temperature at which the second virial coefficient of segments v2=0) and θ was taken into the consideration. Experimental verification was done by the polystyrene–cyclohexane, methylcyclohexane, and benzene solutions. The equation represented the experimental results well in the wide range of (1−θ/T)M1/2, The sharpness of the coil-globule transition was discussed. It was concluded that the coil-globule transition is not a phase transition type but a cross-over type at least in the polystyrene–cyclohexane solution.
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References
P. G. deGennes, “Scaling Concepts in Polymer Physics,” Cornell University Press, Ithaca, 1979, Chapter 1.
T. Oyama and Y. Oono, J. Phys. Soc. Jpn., 44, 1348 (1977).
O. B. Ptitsyn, A. K. Kron, and Yu. Ye. Eizner, J. Polym. Sci., C, 16, 3509 (1968).
T. Oyama and K. Shiokawa, Polym. J., 12, 507 (1980).
I. C. Sanchez, Macromolecules, 12, 980 (1979).
M. Daoud and G. Jannink, J. Phys., 37, 973 (1976).
T. Oyama, K. Shiokawa, and K. Baba, Polym. J., 13, 821 (1981).
Y. Miyaki and H. Fujita, Polym. J., 13, 749 (1981).
Y. Miyaki, Y. Einaga, and H. Fujita, Macromolecules, 11, 1180 (1978).
P. J. Flory, “Principles of Polymer Chemistry,” Cornell University Press, Ithaca, 1953, Chapter 14.
S. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys., 73, 5971 (1980).
M. Nierlich, J. P. Cotton, and B. Farnoux, J. Chem. Phys., 69, 1379 (1978).
E. Slagowski, B. Tsai, and D. Mclntyre, Macromolecules, 9, 687 (1976).
P. Perzynski, M. Adam, and M. Delsanti, J. Phys., 43, 129 (1982).
P. Vidakovic and F. Rondelez, Macromolecules, 17, 418 (1984).
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Oyama, To., Shiokawa, K. & Baba, K. A Semi-Theoretical Equation for the Chain Dimension in Dilute Solutions and Its Experimental Verification, and the Coil-Globule Transition. Polym J 17, 713–720 (1985). https://doi.org/10.1295/polymj.17.713
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DOI: https://doi.org/10.1295/polymj.17.713