高等学校化学学报

高等学校化学学报

• 研究论文 • 上一篇    下一篇

ABg型超支化反应体系的平衡统计特征

宋建民1,2, 王海军1,3   

    1. 河北大学化学与环境科学学院, 保定 071002;
    2. 河北农业大学理学院, 保定 071001;
    3. 中国科学院国际材料物理中心, 沈阳 110016
  • 收稿日期:2006-04-13 修回日期:1900-01-01 出版日期:2006-12-10 发布日期:2006-12-10
  • 通讯作者: 王海军

Equilibrium Statistical Characteristics of Hyperbranched Reaction System of ABg Type

SONG Jian-Min1,2, WANG Hai-Jun1,3   

    1. College of Chemistry and Environmental Science, Hebei University, Baoding 071002, China;
    2. College of Sciences, Agriculture University of Hebei, Baoding 071001, China;
    3. International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2006-04-13 Revised:1900-01-01 Online:2006-12-10 Published:2006-12-10
  • Contact: WANG Hai-Jun

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摘要： 应用统计力学原理, 从两种不同角度对ABg型超支化反应体系中的平衡特征进行研究, 得到该体系平衡自由能以及反应程度与热力学量之间关系的解析表达式. 进一步指出获得超支化高分子数量分布函数的两种新方法, 并结合改进的高分子格子流体理论探讨了聚合反应对体系状态方程的影响.

关键词: 超支化高分子, 配分函数, 自由能, 状态方程

Abstract: The equilibrium statistical characteristics of hyperbranched reaction system of ABg type is studied from two viewpoints by using the principle of statistical mechanics. The equilibrium free energy and a relationship between the conversion and some thermodynamic quantities are obtained. Furthermore, two new methods that can be used to evaluate the number fraction distribution of hyperbranched polymers are reported. As an application, it is found that the effect of polymerization is significant on the equation of state proposed by the improved lattice-fluid theory.

Key words: Hyperbranched polymer, Partition function, Free energy, Equation of state

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