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半刚性链分子的统计热力学(Ⅰ)
Statistical Thermodynamics of Semi-rigid Chain Molecules (Ⅰ)
【摘要】 用柔性连接点联系的刚棒模型代表半刚性链分子,对其进行统计热力学分析。半刚性链分子的混合自由能是克分子分数、溶质分子的长径比、链分子的有序度、刚柔性以及温度的函数。溶液体系具有极小浓度V2*。当V2*<V2*时,混合自由能随有序度的减小而单调下降。V2>V2*是获得稳定的各向异性相的必要条件。V2*是链分子的长径比、刚柔性及温度的函数。V2是溶液浓度。
【Abstract】 A free energy of mixing for a system of semi--rigid chain with partial order is de-rived through the use of a modified rigid--rod model. A general expression of the min-imum concentration V2? is obtained by minimizing the free energy of mixing. ForV2<V2?, the mixing free energy decrease monotonically with order paremeter. Hence, anecessary condition for existence of a stable anisotropic phase is V2>V2? The mini-mum concentration is a function of axis ratio of the solute particles, temperature andthe characteric stiffness of semi--rigid chain molecules.
【Key words】 semi-rigid chain; liquid crystal rigid-rod model; statistical thermodynamics; minimum concentration;
- 【文献出处】 功能高分子学报 ,Journal of Functional Polymers , 编辑部邮箱 ,1992年03期
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