简单共聚模型的分布函数与组成方程推导

THE DEDUCTION OF MOLECULAR WEIGHT DISTRIBUTION FUNCTION AND COMPOSITION EQUATION IN THE SIMPLE COPOLYMER MODEL

针对自由基共聚合反应歧化终止和偶合终止两类机理生成的线型共聚物,应用统计物理的基本原理,对处于最可几分布状态下的线型共聚物分子量分布函数进行了理论推导,并以此分布函数,结合自由基共聚合机理动力学处理和概率计算,从另一种途径得到Mayo-Lowis和Alfrey-Goldfinger简单共聚物组成方程,研究结果有助于进一步理解简单共聚模型组成方程的物理学基础,同时也将为线型自由基共聚合反应机理的研究提供一个新方法.

In this paper, a new theoretical way to deduce molcular weight distribution functions in the simple copolymer model is given according to the most probable state using the basic principle in statistical physics for two systems of typical linear copolymers, the forming of which obeys the mechanism of free radical termination by combination and disproportionation. In combination with kinetics principle and probability of the free radical copolymerization, the composition equations i.e. the Mayo-Lowis and the Alfrey-Goldfinger copolymer composition equations are obtained through these distribution functions. This study could help to understand the physical foundation of composition equation in the simple copolymer model and offer at the same time a new method to analyze the free radical copolymerization mechanism.