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By Ingo Pinnau and Benny D. Freeman (Eds.)

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Bondar, V . ; Freeman, B . D . ; Pinnau, I. J. Polym. , Part B, Polym. Phys. 2000, 38, 2051-2062. 48. ; Laciak, D . V . J. Membrane Sci. 1997, 131, 49-60. 49. Ho, W. S. W. S. Patent 5,611,843, 1997. 50. Nagai, K . ; Freeman, B . D . ; Pinnau, I. Prog. Polym. Sci. 2001, 26, 721-798. 51. ; Toy, L . G. J. Membrane Sci. 1996, 116, 199-209. 52. ; Casillas, C . G . ; Morisato, A . ; Freeman, B . D . J. Polym. : Polym. Phys. Ed. 1996, 34, 2613-2621. 53. Cohen, M . H . ; Turnbull, D. J. Chem. Phys. 1959, 31, 1164-1169.

Eng. 1993, 69, 16-17. 16. ; Nakanishi, K . Macromolecules 1994, 27, 4498-4508. 17. ; Nakanishi, K . Fluid Phase Equil. 1995, 104, 363-374. 18. Charati, S. ; Stern, S. A . Macromolecules 1998, 31, 5529-5535. 19. ; Paul, D . Comput. Theor. Polym. Sci. 2000, 10, 419-436. 20. Sun, H . Macromolecules 1995, 28, 701-712. 21. Sun, H . J. Phys. Chem. B 1998, 102, 7338-7364. 22. ; Fried, J. R. Comput. Theor. Polym. Sci. 1998, 8, 229-246. ; ACS Symposium Series; American Chemical Society: Washington, DC, 2004.

This procedure, however, is very inaccurate and precludes any entropy determination, which can be obtained i f the test-particle insertion method is used. +rn> {ri-*")„ mr . mr (3) = AC7* + A £ T The first term in eq 3 denotes the average solute binding energy to the solvent (the polymer-penetrant interaction, or, solwte-solvent energy A£/* ). The second term denotes the solvent reorganization energy (the potential energy change of the solvent, or, solvent-solvent energy A£/,^) (6). Note that, despite being sometimes suggested in the literature, there is absolutely no a priori reason to assume this term to be negligible (7).

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