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NAMS 2002 Workshop - ICOM 2008

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functional groups becomes available. The third approach is positron annihilation<br />

lifetime spectroscopy (PALS) technique, which can measure the mean size and<br />

size distribution of subnanometer-size vacancies in polymers. The published<br />

mean hole volume detected by PALS is employed to predict solvent diffusion<br />

coefficients with the help of the EOS. The predictions are generally consistent<br />

with published diffusion data. In addition, the analysis of hole size distribution can<br />

prove the reliability of the EOS-approach and group contribution-approach. The<br />

fourth approach is molecular simulation, which can investigate free- volume holes<br />

from microscopic point of view. The simulation is performed on PVAc and PMA,<br />

which are structural isomers of each other. The quantitative relation between the<br />

simulation and the free volume defined by the Simha-Somcynsky EOS, PALS<br />

measurements and free-volume theory is given. The infinite dilution diffusion<br />

coefficients in PVAc are predicted using simulation method, and the predictions<br />

are in good agreement with experimental data.<br />

This study provides a consistent feature to describe solvent transport in polymer<br />

matrix with both macro- and microscopic structure. The prediction ability of the<br />

original free-volume theory is improved by introducing the EOS and group<br />

contribution method. Therefore, the modified model is useful to understand mass<br />

transport in polymeric dense membranes and to develop a novel approach for<br />

membrane materials design.<br />

Acknowledgement The authors gratefully acknowledge the financial assistance<br />

from the Major State Basic Research Development Program of China (973<br />

Program) (No. 2003CB615701) and the National Natural Science Foundation of<br />

China (No. 20676068).<br />

References<br />

[1] Yamaguchi T, Miyazaki Y, Nakao SI, Tsuru T, Kimura S. Ind Eng Chem Res, 1998, 37, 177.<br />

[2] Wang BG, Miyazaki Y, Yamaguchi T, Nakao SI. J Membr Sci, 2000, 164, 25.<br />

[3] Wang BG. Membrane design for organic mixture separation [Ph.D. Dissertation]. University of<br />

Tokyo, Japan, 2000.<br />

[4] Vrentas JS, Duda JL. J Polym Sci Polym Phys Ed, 1977, 15, 403.<br />

[5] Zielinski JM, Duda JL. AIChE J, 1992, 38, 405.<br />

[6] Hong SU. Ind Eng Chem Res, 1995, 34, 2536.<br />

[7] Vrentas JS, Vrentas CM. Macromolecules, 1994, 27, 4684.<br />

[8] Yamaguchi T, Wang BG, Matsuda E, Suzuki S, Nakao SI. J Polym Sci Polym Phys, 2003, 41,<br />

1393.<br />

[9] Lv HL, Wang BG. J Polym Sci Polym Phys, 2006, 44, 1000.

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