存在初始分布时自缩合乙烯基聚合体系的统计理论  

Statistical theory for self-condensing vinyl polymerization system with any initial distribution

作　　者：洪晓钟[1] 顾芳[2] 王海军[2,3,4,5] 巴信武[2] 

机构地区：[1]河北大学物理科学与技术学院,保定071002 [2]河北大学化学与环境科学学院,保定071002 [3]河北省化学生物学重点实验室 [4]河北大学,保定071002 [5]中国科学院国际材料物理中心,沈阳110016

出　　处：《中国科学：化学》2013年第11期1505-1511,共7页SCIENTIA SINICA Chimica

基　　金：国家自然科学基金(21274037;21374028;21306034)资助

摘　　要：本文利用生成函数方法对存在初始分布的自缩合乙烯基聚合反应体系进行研究.首先在任意初始分布情形下,构造并通过反应体系的微分动力学方程导出对应的生成函数.进一步分别考察了均一初始分布和混合初始分布两种情形,利用生成函数获得反应体系的数均、重均和Z-均聚合度以及多分散指数等物理量.研究结果表明,利用生成函数方法不仅可以给出超支化高分子的数量分布函数,而且可以使平均高分子物理量的计算大为简化.同时发现,反应体系的统计特征与初始分布密切相关,相应的结果可为进一步研究分批投料、多组分及非等活性等更加复杂的自缩合乙烯基反应体系提供可能的基础.A generation function method is used to obtain some average polymer physical quantities in the self-condensing vinyl polymerization （SCVP） system with any initial distribution. For the system under study, the generation function is explicitly derived in terms of the corresponding differential kinetic equations. As an application, two SCVP systems with uniform and dispersed prepolymers were discussed, respectively. As a result, the number-, weight- and Z-average degrees of polymerization and polydispersity index were presented. It is shown that, on the one hand, the initial distribution plays an important role in these physical quantities, and on the other hand, the generation function method is found to be very convenient in the calculations of average polymer quantities. It is expected that the present method can be applied in more complex SCVP systems with such as semi-batch process, multi-components and unequal reactivity.

关 键 词：自缩合乙烯基聚合 初始分布 生成函数 平均高分子物理量 

分 类 号：O631.5[理学—高分子化学]