高等学校化学学报 ›› 1994, Vol. 15 ›› Issue (8): 1235.

• 论文 • 上一篇    下一篇

用隐函数方法处理不断引发、链增长自由基聚合反应

黄金满1, 杨梅林1, 沈家骢1, 马驷良2, 于辉2   

  1. 1. 吉林大学化学系, 长春, 130023;
    2. 吉林大学数学系, 长春, 130023
  • 收稿日期:1993-07-17 修回日期:1994-02-26 出版日期:1994-08-24 发布日期:1994-08-24
  • 通讯作者: 沈家骢.
  • 作者简介:黄金满.男,24岁、硕士研究生.
  • 基金资助:

    国家自然科学基金

Implicit Function Applied in Chain Propagating Radical Polymerization with Continous Initiation

HUANG Jin-Man1, YANG Mei-Lin1, SHEN Jia-Cong1, MA Si-Liang2, YU Hui2   

  1. 1. Department of Chemistry, Jilin University, Changchun, 130023;
    2. Department of Mathematics, Jilin University, Changchun, 130023
  • Received:1993-07-17 Revised:1994-02-26 Online:1994-08-24 Published:1994-08-24

摘要: 利用图形分析方法给出了不断引发、链增长自由基聚合反应的分子量分布函数,结合反应转化率曲线,利用隐函数方法和数学随机模拟法,得到了分子量分布曲线,利用计算结果讨论了不同终止形式及反应速率对聚合物分子量分布的影响,考虑反应体系的扩散控制,给出了苯乙烯本体聚合的分子量分布,得到与实验事实相一致的结论。

关键词: 聚合反应动力学, 图形分析, 蒙特卡洛方法, 隐函数, 分子量分布

Abstract: Molecular weight distribution functions are obtained by graph analysis method. With different methods, such as conversion, the implicit function and Monte Carlo method, the difficulties in calculation are solved, molecular weight distribution curves are obtained. The influence of different termination and propagation rates on molecular weight distribution is discussed. Diffusion controlling in styrene bulk polymerization is concerned, polystyrene molecular weight distributions are obtained and the results are in agreement with the experimential observation.

Key words: Polymerization kinetics, Graph analysis, Monte Carlo method, Implicit function, Molecular weight distribution

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