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标题：Statistical thermodynamics of amphiphile chains in micelles
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作者：A. Ben-Shaul ; I. Szleifer ; W. M. Gelbart 等
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1984
卷号：81
期号：14
页码：4601-4605
DOI：10.1073/pnas.81.14.4601
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：The probability distribution of amphiphile chain conformations in micelles of different geometries is derived through maximization of their packing entropy. A lattice model, first suggested by Dill and Flory, is used to represent the possible chain conformations in the micellar core. The polar heads of the chains are assumed to be anchored to the micellar surface, with the other chain segments occupying all lattice sites in the interior of the micelle. This "volume-filling" requirement, the connectivity of the chains, and the geometry of the micelle define constraints on the possible probability distributions of chain conformations. The actual distribution is derived by maximizing the chain's entropy subject to these constraints; "reversals" of the chains back towards the micellar surface are explicitly included. Results are presented for amphiphiles organized in planar bilayers and in cylindrical and spherical micelles of different sizes. It is found that, for all three geometries, the bond order parameters decrease as a function of the bond distance from the polar head, in accordance with recent experimental data. The entropy differences associated with geometrical changes are shown to be significant, suggesting thereby the need to include curvature (environmental)-dependent "tail" contributions in statistical thermodynamic treatments of micellization.
关键词：chain conformations ; curved micelles and bilayers ; maximal entropy ; lattice model ; order parameters