甲基丙烯酸甲酯自由基聚合反应的统计理论研究

在自由基聚合反应中，每个聚合物分子都是经历成百上千次加成聚合形成。由于聚合次数不完全相同造成实际链长的不等性，故由稳态近似法所获得的结果只是一个平均的概念，对反应未达平衡态时不适用。本文运用统计的方法，克服了非稳态方法的限制。通过从任意时间微元扩展至反应结束，获得了甲基丙烯酸甲酯聚合反应相应的统计关系式，如聚合物的数量、重量分布及聚合物的平均分子量等，对深入了解高分子化学反应的本质具有重要的价值和意义。

Statistical Treatment on the Radical Polymerization of Methyl Methacrylate

In polymerization reaction, each polymer molecule is formed via hundreds and thousands additions. However, owing to the difference in addition times, the chain-lengths of resulted polymers are impossibly same. So, the results obtained from steady state are only an average value and not suitable for unsteady state. This article provides a new method in treating this polymerization process by using statistical method. By the analysis on polymerization process of an arbitrary time tiny unit, the overall polymerization process has been obtained via integral. The basic quantitative relationships, including distribution functions of number-average and weight-average, and also molecular weights of polymer, were obtained.