Abstract
A simple theory of surface tension γ for polymer liquids is presented with the use of a hole theory of polymer liquids. It is found that if γ(σ3/C)2/3C/ε*z′ is taken as the reduced surface tension the principle of corresponding states is in satisfactory accord with theory, where σ is a characteristic parameter for separation involved in the Lennard-Jones 12-6 potential; ε* is that for potential energy; 3c is the number of external degrees of freedom per segment, and z′ is the average coordination number of a segment. The theory makes it possible to interpret the so-called Hildebrand equation for the relation between γ and cohesive energy density, and shows that the parachor is proportional to the product of the 13/12-th power of an occupied volume σ3N and the 1/4-th power of a characteristic cohesive energy density, 0.69ε*z′/σ3, when an appropriate atomic group is taken.
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H. Schonhorn, J. Chem. Phys., 43, 2041 (1965).
H. Schonhorn and L. H. Scharp, J. Polym. Sci., Part A, 3, 569 (1965).
L. H. Scharp, F. W. Ryan, and H. Schonhorn, J. Polym. Sci., Part A-2, 4, 538 (1966).
R. H. Dettre and R. E. Johnson Jr., J. Colloid Interface Sci., 21, 365 (1966).
R. J. Roe, Proc. Nat. Acad. Sci. U. S., 56, 819 (1966).
T. Hata, Hyomen (Surface), 6, 281 (1968).
S. Kitagawa and T. Hata, Preprint, The 4-th Symposium on Adhesion and Adhesive in Japan, Osaka, June 9, 1966, p 35.
Y. Sasaki and T. Hata, Preprint, SPSJ 16th Annual Meeting, Tokyo, May 27, 1967, III I 27 p 400.
I. Prigogine and L. Saraga, J. Chem. Phys., 49, 399 (1952).
V. S. Nanda and R. Simha, J. Phys. Chem., 68, 3158 (1964).
T. Nose, Polym. J., 2, 124 (1971).
e.g., J. A. Barker, “Lattice Theory of the Liquid State,” Pergamon Press, Oxford, 1963.
T. S. Ree and H. Eyring, J. Chem. Phys., 41, 524 (1964).
J. J. Jasper and E. V. Kring, J. Am. Chem. Soc., 77, 1019 (1955).
J. H. Hildebrand and K. L. Scott, “The Solubility of Nonelectrolites,” 3rd ed, Reinhold, New York, N.Y., 1950, Chapter XXI.
G. Allen, G. Gee, and G. J. Wilson, Polymer, 1, 456 (1960).
J. H. Perry, “Chemical Engineering Handbook,” McGraw-Hill, New York, N.Y., 1950.
R. J. Roe, J. Phys. Chem., 69, 2809 (1965).
J. C. McGowan, Polymer, 8, 57 (1967).
J. C. McGowan, Polymer, 10, 841 (1969).
S. Glasstone, “The Elements of Physical Chemistry,” Maruzen Company Ltd., Tokyo, 1954.
R. Simha, H. L. Frisch, and F. R. Eirich, J. Phys. Chem., 57, 584 (1953).
W. C. Forsman and R. E. Hughes, J. Chem. Phys., 38, 2118 (1963).
W. C. Forsman and R. E. Hughes, J. Chem. Phys., 38, 2123 (1963).
W. C. Forsman and R. E. Hughes, J. Chem. Phys., 38, 2130 (1963).
A. Silberberg, J. Phys. Chem., 66, 1872 (1962).
A. Silberberg, J. Phys. Chem., 66, 1884 (1962).
A. Silberberg, J. Chem. Phys., 46, 1105 (1967).
E. A. DiMarzio, J. Chem. Phys., 42, 2101 (1965).
R. J. Roe, J. Chem. Phys., 43, 1591 (1965).
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Nose, T. A Hole Theory of Polymer Liquids and Glasses. V. Surface Tension of Polymer Liquids. Polym J 3, 1–11 (1972). https://doi.org/10.1295/polymj.3.1
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DOI: https://doi.org/10.1295/polymj.3.1