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A density functional approach to the description of the selective adsorption of a binary mixture of small molecules on a surface grafted with the square-well chains is proposed. The excess Helmholtz free energy functional of the system is divided into two contributions from the hard-sphere repulsion and the square-well attraction respectively. In the bulk phase, the equation of state of Liu and Hu (Liu H L, Hu Y 1996 Feuid Phase Equilibra 122 75) is used to calculate the free energy of the repulsive part and the equation of state of Li and He (Li J L and He H H 2009 Feuid Phase Equilibria 276 57) is used to calculate the free energy of the attractive part. A simple weighted density approximation is adopted on both parts to construct the functional. Using this theoretical approach, the structures of the grafted polymers and the selective adsorptions of binary square-well fluids on the grafted layer at different temperatures are investigated. The theory predicts that the brush thickness increases linearly with the grafting density but non-linearly with temperature and the brush thickness tends to sateration at high temperature. Given the chain length and grafting density, the theoretical calculation also reveals that the polymer brush has strong selective adsorption cap ability at low temperature and the cap ability will weaken greatly when the polymer brush is heated above the temperature of sateration.
[1] Leal O, Bolivar C 1992 U. S. Patent 5087597
[2] Leal O, Bolivar C 1995 Inorg. Chim. Acta 240 183
[3] [4] Zheng F, Tran D N 2005 Ind. Eng. Chem. Res. 44 3099
[5] [6] [7] Harlick P J E, Sayari A 2006 Ind. Eng. Chem. Res. 45 3248
[8] [9] Khatri R A, Chuang S S C 2005 Ind. Eng. Chem. Res. 44 3702
[10] Zhao H L, Hu J 2007 Acta Phys. Chim. Sin. 23 801 (in Chinese) [赵会玲、胡 军 2007 物理化学学报 23 801]
[11] [12] Alexander S J 1977 Phys. (in France) 38 983
[13] [14] [15] de Gennes P G 1980 Macromolecules 13 1069
[16] Yu Y X, Wu J Z 2002 J. Chem. Phys. 117 10156
[17] [18] [19] Rickayzen G, Augousti A 1984 Mol. Phys. 54 1355
[20] Ye Z C, Chen H Y 2006 J. Chem. Phys. 125 124705
[21] [22] Ye Z C, Cai J 2005 J. Chem. Phys. 123 194902
[23] [24] [25] Ye Z C, Cai J 2005 Acta Phys. Sin. 54 4044 (in Chinese) [叶贞成、蔡 钧 2005 物理学报 54 4044]
[26] [27] Liu H L, Hu Y 1996 Fluid Phase Equilibra 122 75
[28] Li J L,He H H 2009 Fluid Phase Equilibra 276 57
[29] [30] [31] Cai J, Liu H L 2002 Fluid Phase Equilibra 281 194
[32] Borwko M, R z ysko W 2007 J. Chem. Phys. 126 214703
[33] -
[1] Leal O, Bolivar C 1992 U. S. Patent 5087597
[2] Leal O, Bolivar C 1995 Inorg. Chim. Acta 240 183
[3] [4] Zheng F, Tran D N 2005 Ind. Eng. Chem. Res. 44 3099
[5] [6] [7] Harlick P J E, Sayari A 2006 Ind. Eng. Chem. Res. 45 3248
[8] [9] Khatri R A, Chuang S S C 2005 Ind. Eng. Chem. Res. 44 3702
[10] Zhao H L, Hu J 2007 Acta Phys. Chim. Sin. 23 801 (in Chinese) [赵会玲、胡 军 2007 物理化学学报 23 801]
[11] [12] Alexander S J 1977 Phys. (in France) 38 983
[13] [14] [15] de Gennes P G 1980 Macromolecules 13 1069
[16] Yu Y X, Wu J Z 2002 J. Chem. Phys. 117 10156
[17] [18] [19] Rickayzen G, Augousti A 1984 Mol. Phys. 54 1355
[20] Ye Z C, Chen H Y 2006 J. Chem. Phys. 125 124705
[21] [22] Ye Z C, Cai J 2005 J. Chem. Phys. 123 194902
[23] [24] [25] Ye Z C, Cai J 2005 Acta Phys. Sin. 54 4044 (in Chinese) [叶贞成、蔡 钧 2005 物理学报 54 4044]
[26] [27] Liu H L, Hu Y 1996 Fluid Phase Equilibra 122 75
[28] Li J L,He H H 2009 Fluid Phase Equilibra 276 57
[29] [30] [31] Cai J, Liu H L 2002 Fluid Phase Equilibra 281 194
[32] Borwko M, R z ysko W 2007 J. Chem. Phys. 126 214703
[33]
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