Molecular theory of solutions and blends of heteropolymers. I. Thermodynamics of amorphous multicomponent polymer systems

Journal of Polymer Science, Part B: Polymer Physics

Volumn 36, Issue 6, 1998, Pages 937-958

  Kuchanov, S I ^a   Panyukov, S V ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Heteropolymers; Phase diagram; Thermodynamics

Indexed keywords

CALCULATIONS; COPOLYMERS; MACROMOLECULES; MOLECULAR WEIGHT DISTRIBUTION; PHASE DIAGRAMS; SOLUTIONS; THERMODYNAMICS; VOLUME FRACTION;

HETEROPOLYMERS; POLYMER SOLUTIONS;

POLYMER BLENDS;

EID: 0004992969     PISSN: 08876266     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0488(19980430)36:6<937::AID-POLB2>3.0.CO;2-D     Document Type: Article

References (142)

1. S. I. Kuchanov, Methods of Kinetic Calculations in Polymer Chemistry (in Russian), Chemistry, Moscow, 1978.
2. P. J. Flory, J. Chem. Phys., 10, 51 (1942).
3. M. L. Huggins, Ann. NY Acad. Sci., 43, 1 (1942).
4. P. J. Flory, Principles of Polymer Chemistry, Cornell Univ. Press, Ithaca, NY, 1953.
5. H. Tompa, Polymer Solutions, Butterworth, London, 1956.
6. M. L. Huggins, Physical Chemistry of High Polymers, Wiley, New York, 1958.
7. I. Prigogine, N. Trappeniers, and V. Mathod, Discuss. Faraday Soc., 15, 93 (1953).
8. I. Prigogine and A. Bellemans, J. Polym. Sci., 18, 147 (1955).
9. I. Prigogine, The Molecular Theory of Solutions, North Holland Publ. Comp., Amsterdam, 1957.
10. J. Hijmans, Physica, 27, 433 (1961).
11. S. N. Bhattacharaya, D. Patterson, and T. Sominsky, Physica, 30, 1276 (1964).
12. D. Patterson, Macromolecules, 2, 673 (1969).
13. D. Patterson and G. Delmas, Discuss. Faraday Soc., 98 (1970).
14. P. J. Flory, R. A. Orwoll, and A. Vrij, J. Am. Chem. Soc., 86, 3507, 3515 (1964).
15. P. J. Flory, J. Am. Chem. Soc., 87, 1833 (1965).
16. B. E. Eichinger and P. J. Flory, Trans. Faraday Soc., 64, 2035 (1968).
17. P. J. Flory, Discuss. Faraday Soc., 7 (1970).
18. I. C. Sanchez and R. H. Lacombe, J. Phys. Chem., 80, 2352 (1976).
19. R. H. Lacombe and I. C. Sanchez, J. Phys. Chem., 80, 2568 (1976).
20. I. C. Sanchez and R. H. Lacombe, Macromolecules, 11, 1145 (1978).
21. I. C. Sanchez, J. Macromol. Sci., B17, 565 (1980).
22. I. C. Sanchez, in Polymer Compatibility and Incompatibility, K. Solk, Ed., Harwood Acad., New York, 1982, p. 59.
23. C. J. Glover and W. A. Ruff, Macromolecules, 21, 3051 (1988).
24. J. A. R. Renuncio and J. M. Prausnitz, Macromolecules, 9, 898 (1976).
25. V. Brandani, Macromolecules, 11, 1293 (1978).
26. V. Brandani, Macromolecules, 12, 883 (1979).
27. F. Hamada, T. Shiomi, K. Fujisawa, and A. Nakajima, Macromolecules, 13, 729 (1980).
28. K. Fujisawa, T. Shiomi, F. Hamada, and A. Nakajima, Polym. Bull., 3, 261 (1980).
29. J. G. Curro, J. Macromol. Sci., Rev. Macromol. Chem., C11, 321 (1974).
30. E. F. Casassa, J. Polym. Sci., Part C, N54, 53 (1976).
31. R. A. Orwoll, Rubber Chem. Technol., 50, 451 (1977).
32. I. C. Sanchez, in Polymer Blends, D. R. Paul and S. Newman, Eds., Academic Press, New York, 1982.
33. E. J. Beckman, R. S. Porter, R. Koningsveld, and L. A. Kleintjens, in Integration of Fundamental Polymer Science and Technology, Vol. 2, P. J. Lemstra and L. A. Kleintjens, Eds., Elsevier Applied Science, London, 1988, p. 197.
34. R. K. Jain and R. Simha, Macromolecules, 22, 464 (1989).
35. M. Wolf and J. H. Wendorff, Polym. Commun., 31, 226 (1990).
36. R. L. Scott, J. Chem. Phys., 17, 268 (1949).
37. R. L. Scott, J. Chem. Phys., 17, 279 (1949).
38. H. Tompa, Trans. Faraday Soc., 45, 1142 (1949).
39. H. Tompa, Trans. Faraday Soc., 46, 970 (1950).
40. W. H. Stockmayer, J. Chem. Phys., 17, 588 (1949).
41. R. Koningsveld, Dr. Sci. Dissertation, Heerlen University, Leiden, Holland, 1967.
42. R. Koningsveld, in Polymer Science (A Materials Science Hand Book), Vol. 2, A. D. Jenkins, Ed., North Holland Publishing, Amsterdam, 1972, p. 1047.
43. R. Koningsveld, Br. Polym. J., 7, 435 (1975).
44. R. Koningsveld and L. A. Kleintjens, J. Polym. Sci., Part C, N61, 221 (1977).
45. R. Koningsveld, L. A. Kleintjens, and M. H. Onclin, J. Polym. Sci., Part B, 18, 363 (1980).
46. R. Koningsveld, M. H. Onclin, and L. A. Kleintjens, in Polymer Compatibility and Incompatibility, K. Solk, Ed., Harwood Acad. Publ., New York, 1982, p. 25.
47. R. Koningsveld, Pure Appl. Chem., 61, 1051 (1989).
48. M. Gordon, H. A. G. Chermin, and R. Koningsveld, Macromolecules, 2, 207 (1969).
49. R. Koningsveld, H. A. G. Chermin, and M. Gordon, Proc. R. Soc. Lond., Ser. A, 319, 331 (1970).
50. J. W. Kennedy, M. Gordon, and R. Koninsveld, J. Polym. Sci., Part C, N39, 43 (1972).
51. M. Gordon, P. Irvine, and J. W. Kennedy, J. Polym. Sci., Part C, N61, 199 (1977).
52. P. Irvine and M. Gordon, Proc. R. Soc. Lond., Ser. A, 375, 397 (1981).
53. P. Irvine and J. W. Kennedy, Macromolecules, 15, 473 (1982).
54. Y. Hu, X. Yang, D. T. Wu, and J. M. Prausnitz, Macromolecules, 26, N25, 6817 (1993).
55. M. T. Ratzsch and H. Kehlen, Progr. Polym. Sci., 14, 1 (1989).
56. K. Solc, Macromolecules, 3, 665 (1970).
57. K. Solc, J. Polym. Sci., Part B, 12, 555 (1974).
58. K. Solc, J. Polym. Sci., Part B, 20, 1947 (1982).
59. K. Solc, Macromolecules, 16, 236 (1983).
60. K. Solc, L. A. Kleintjens, and R. Koningsveld, Macromolecules, 17, 573 (1984).
61. K. Solc and K. Battjes, Macromolecules, 18, 220 (1985).
62. H. A. G. Chermin, Br. Polym. J., 9, 195 (1977).
63. K. Solc, Macromolecules, 19, 1166 (1986).
64. K. Solc, Macromolecules, 20, 2506 (1987).
65. K. Solc and Y. C. Yang, Macromolecules, 21, 829 (1988).
66. K. Solc, Y.-H. Huang, and Y. C. Yang, Macromolecules, 22, 4334 (1989).
67. R. Koningsveld, Discuss. Faraday Soc., 49, 144 (1970).
68. K. Kamide, S. Matsuda, and H. Shirataki, Polym. J., 20, 949 (1988).
69. F. E. Karasz and W. J. MacKnight, in Multicomponent Polymer Materials, S. R. Paul and L. H. Sperling, Eds., Advances in Chemistry Series A, American Chemical Society, Washington, DC, 1986, p. 67.
70. R. J. Roe and D. Rigby, Adv. Polym. Sci., 82, 103 (1987).
71. W. J. MacKnight and F. E. Karasz, in Comprehensive Polymer Science, Vol. 7, G. Allen, Ed., Pergamon Press, New York, 1989, p. 111.
72. nd Intern. Symp on Macromolecules, Japan, 1988) T. Saegusa, T. Higashimura, and A. Abe, Eds., Blackwell Sci. Publ., New York, 1989.
73. A. Noshey and J. E. McGrath, Block Copolymers, Academic, New York, 1977.
74. M. Folkes, Ed., Processing, Structure and Properties of Block Copolymers, Elsevier, London, 1985.
75. R. P. Quirk, D. J. Kinning, and L. J. Fetters, in Comprehensive Polymer Science, Vol. 7, G. Allen, Ed., Pergamon press, New York, 1989, p. 1.
76. R. L. Scott, J. Polym. Sci., 9, 423 (1952).
77. L. Leibler, Makromol. Chem., Rapid Commun., 2, 393 (1981).
78. R. P. Kambour, J. T. Bendler, and R. C. Bopp, Macromolecules, 16, 763 (1983).
79. G. ten Brinke, F. E. Karasz, and W. J. MacKnight, Macromolecules, 16, 1827 (1983).
80. D. R. Paul and J. W. Barlow, Polymer, 25, 487 (1984).
81. R. Koningsveld and L. A. Kleintjens, Macromolecules, 18, 243 (1985).
82. D. Rigby, J. L. Lin, and R.-J. Roe, Macromolecules, 18, 2269 (1985).
83. J. W. Barlow and D. R. Paul, Polym. Eng. Sci., 27, 1482 (1987).
84. M. Nishimoto, H. Kekkula, and D. R. Paul, Polymer, 30, 1279 (1989).
85. G. R. Brannock and D. R. Paul, Macromolecules, 23, 5240 (1990).
86. M. T. Ratzsch, H. Kehlen, and D. Browarzik, J. Macromol. Sci., Ser. A, 22, 1679 (1985).
87. M. T. Ratzsch, H. Kehlen, and D. Browarzik, J. Macromol. Sci., Ser. A, 23, 1349 (1986).
88. M. T. Ratzsch, D. Browarzik, and H. Kehlen, J. Macromol. Sci., Ser. A, 26, 903 (1989).
89. M. T. Ratzsch, C. Wohlfarth, D. Browarzik, and H. Kehlen, J. Macromol. Sci., Ser. A, 26, 1497 (1989).
90. M. T. Ratzsch, D. Browarzik, and H. Kehlen, J. Macromol. Sci., Ser. A, 27, 809 (1990).
91. C. Panayuotou, Makromol. Chem., 188, 2733 (1987).
92. P. Dafniotis, E. Karayianni, and C. Panayioton, Makromol. Chem., 190, 1103 (1989).
93. T. Shiomi, H. Ishimatsu, T. Eguchi, and K. Imai, Macromolecules, 23, 4970 (1990).
94. T. Shiomi, T. Eguchi, H. Ishimatsu, and K. Imai, Macromolecules, 23, 4978 (1990).
95. T. Shiomi and K. Imai, Polymer, 32, 73 (1991).
96. J. Dudowicz and K. F. Freed, Macromolecules, 24, 5076, 5112 (1991).
97. K. F. Freed and J. Dudowicz, Theor. Chim. Acta, 82, 357 (1992).
98. J. Dudowicz and K. F. Freed, J. Chem. Phys., 96, 1644, 9147 (1992).
99. K. F. Freed and J. Dudowicz, J. Chem. Phys., 97, 2105 (1992).
100. K. S. Schweizer, Macromolecules, 26, 6033 (1993).
101. D. Chandler and H. C. Andersen, J. Chem. Phys., 57, 1930 (1972).
102. K. S. Schweizer and J. G. Curro, Chem. Phys., 149, 105 (1990).
103. K. S. Schweizer and J. G. Curro, J. Chem. Phys., 94, 3986 (1991).
104. K. S. Schweizer and J. G. Curro, Phys. Rev. Lett., 60, 809 (1988).
105. K. S. Schweizer, Macromolecules, 26, 6050 (1993).
106. Y. Song, S. M. Lambert, and J. M. Prausnitz, Chem. Eng. Sci., 49, 2765 (1994).
107. Y. C. Chiew, Mol. Phys., 70, 129 (1990).
108. Y. Song, S. M. Lambert, and J. M. Prausnitz, Macromolecules, 27, 441 (1994).
109. Hino, T. Y. Song, and J. M. Prausnitz, Macromolecules, 27, 5681 (1994).
110. T. Hino, Y. Song, and J. M. Prausnitz, Macromolecules, 28, 5717, 5725 (1995).
111. A. V. Balazs, I. C. Sanchez, I. R. Epstein, F. E. Karasz, and W. J. MacKnight, Macromolecules, 18, 2188 (1985).
112. P. C. Balazs, F. E. Karasz, W. J. MacKnight, H. Veda, and I. C. Sanches, Macromolecules, 18, 2784 (1985).
113. J. van Hunsel, A. C. Balazs, W. J. MacKnight, and R. Koningsveld, Macromolecules, 21, 1528 (1988).
114. A. C. Balazs and M. T. De Meuse, Macromolecules, 22, 4260 (1989).
115. H.-J. Cantow and O. Schulz, Polym. Bull., 15, 449 (1986).
116. H.-J. Cantow and O. Schulz, Polym. Bull., 15, 539 (1986).
117. D. R. Paul, in Multicomponent Polymer Materials, S. R. Paul and L. H. Sperling, Eds., Advances in Chemistry Series, American Chemistry Society, Washington, DC, 1986, p. 3.
118. D. J. Walsh, in Comprehensive Polymer Science, Vol. 2, G. Allen, Ed., Pergamon Press, New York, 1989, p. 135.
119. P. Munk, P. Hattam, and Q. Du, J. Appl. Polym. Sci., Appl. Polym. Symp., 49, 373 (1989).
120. L. A. Utracki, Polymer Alloys and Blends: Thermodynamics and Rheology, C. Hanser Verlag, Munchen, 1989.
121. R. Koningsveld, W. H. Stockmayer, and E. Nies, Makromol. Chem., Macromol. Symp., 39, 1 (1990).
122. K. Kamide, Thermodynamics of Polymer Solutions. Phase Equilibria and Critical Phenomena, Elsevier, Amsterdam, 1990.
123. C. Wohlfarth, Makromol. Chem., Theory Simul., 2, 605 (1993).
124. H. W. Kammer, J. Kressler, and C. Kummerloewe, Adv. Polym. Sci., 106, 31 (1993).
125. K. Binder, Adv. Polym. Sci., 112, 183 (1994).
126. J. M. G. Cowie, Macromol. Symp., 78, 15 (1994)
127. M. A. Leontovich, Introduction to Thermodynamics (in Russian), 3rd ed., Nauka, Moscow, 1983.
128. I. M. Lifshitz, A. Yu. Grosberg, and A. R. Rhokhlov, Rev. Mod. Phys., 50, 683 (1978).
129. S. I. Kuchanov, S. V. Korolev, and S. V. Panyukov, Adv. Chem. Phys., 72, 115 (1988).
130. L. D. Landau and E. M. Lifshitz, Statistical Physics, Addison Wesley, Reading, MA, 1969.
131. C. A. Croxton, Liquid State Physics - A Statistical Mechanical Introduction, Cambridge Univ. Press, Cambridge, 1974.
132. A. A. Tager, Vysokomol. Soedin., Ser. A, 30, 1347 (1988).
133. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge Univ. Press, Cambridge, MA, 1986.
134. M. V. Volkenstein, Configuration Statistics of Polymer Chains, Interscience Publishers, New York, 1963.
135. P. J. Flory, Statistical Mechanics of Chain Molecules, Interscience Publishers, New York, 1969.
136. E. A. Guggenheim, Mixtures, Oxford Univ. Press, London, 1952.
137. E. A. Guggenheim, Applications of Statistical Mechanics, Oxford Univ. Press, London, 1966.
138. N. A. Smirnova, Molecular Theories of Solutions (in Russian), Khimia, Leningrad, 1987.
139. S. I. Kuchanov, in Mathematical Methods in Contemporary Chemistry, S. Kuchanov, Ed., Gordon & Breach Publ., Amsterdam, 1996, p. 267.
140. F. R. Gantmakher, Theory of Matrix, Nauka Publ., Moscow, 1966.
141. J. H. Hildebrand and R. L. Scott, The Solubility of Non-Electrolytes, Dover Publ., New York, 1964.
142. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill Book Company, New York, 1961.