支化高分子溶胶-凝胶相变的热力学  

Thermodynamics Theory for Sol-gel Transition of Branched Polymers

作　　者：王海军[1,2] 刘进军[1,3] 巴信武[1] 

机构地区：[1]河北大学化学与环境科学学院,保定071002 [2]中国科学院国际材料物理中心,沈阳110016 [3]承德医学院中药研究所,承德067000

出　　处：《高等学校化学学报》2008年第12期2474-2478,共5页Chemical Journal of Chinese Universities

基　　金：国家自然科学基金(批准号:20574016,20873035);河北省自然科学基金(批准号:B2006000959)资助

摘　　要：以典型的Aa-Bb型缩聚反应为例,应用统计力学和热力学的基本原理对反应体系的一些平衡特征进行研究.基于从两种不同角度所构造的正则配分函数,导出反应体系的平衡自由能以及质量作用定律的解析形式,同时指出获得数量分布函数的新方法,并通过计算反应体系的等温压缩系数从而得到反应体系的凝胶化条件.进一步利用数量分布函数的不变性,给出临界点后溶胶相和凝胶相的平衡自由能,探讨了溶胶-凝胶相变的相关问题.Several equilibrium properties of typical polycondensation system of Aa-Bb type were studied by the principle of statistical thermodynamics.Starting with the canonical partition functions constructed from two viewpoints,the explicit expressions of the equilibrium free energy and the law of mass action are obtained.Meanwhile,two new methods were proposed to derive the equilibrium size distribution,and the gelation condition was carried out by the isothermal compressibility.Furthermore,based on the invariant property of the equilibrium size distribution,the equilibrium free energies of sol and gel phases in postgel regime were given,and the relevant issues on the sol-gel phase transition were discussed.

关 键 词：平衡自由能 质量作用定律 数量分布函数 溶胶-凝胶相变 

分 类 号：O641[理学—物理化学]