高等学校化学学报 ›› 2013, Vol. 34 ›› Issue (9): 2158.doi: 10.7503/cjcu20130377

• 物理化学 • 上一篇    下一篇

Af+AB星型聚合体系的统计热力学

田月兰, 巴信武   

  1. 河北大学化学与环境科学学院, 保定 071002
  • 收稿日期:2013-04-25 出版日期:2013-09-10 发布日期:2013-08-30
  • 作者简介:巴信武,男,博士,教授,博士生导师,主要从事高分子凝聚态物理研究.E-mail:baxw@hbu.edu.cn
  • 基金资助:

    国家自然科学基金(批准号:21274037);河北大学青年基金资助.

Statistical and Thermodynamic Properties of Star-branched Polymers Made by Af+AB Type Polycondensation

TIAN Yue-Lan, BA Xin-Wu   

  1. College of Chemistry and Environmental Science, Hebei University, Baoding 071002, China
  • Received:2013-04-25 Online:2013-09-10 Published:2013-08-30

摘要:

应用统计力学和热力学原理研究了 Af+AB星型聚合体系的性质. 首先从两种不同的角度给出了与聚合反应相应的配分函数, 并据此得到反应体系的平衡自由能、质量作用定律及数量分布函数, 进而得到了体系的平衡状态方程和比热. 在此基础上, 以反应体系的回转半径为例研究了溶剂效应对星型高分子空间尺度的影响.

关键词: 星型聚合反应, 质量作用定律, 均方回转半径, 溶剂效应

Abstract:

The thermodynamic properties of the star-branched polymers made by Af+AB type polycondensa-tion were investigated by the principle of statistical mechanics. Starting with the canonical partition functions constructed from two viewpoints, the equilibrium free energy, the law of mass action and the size distribution of polymers were obtained. Furthermore, the specific heat and equation of state due to polymerization were given. In order to study the dimension of polymers in the system, the influences of the solvent quality on the average dimension of the star-branched polymers were discussed. The results showed the relationship between the average properties and thermodynamic and dynamic conditions, and thereby provided helpful clues on regulating relevant properties of the star-branched polymers.

Key words: Star-branched polymerization, Law of mass action, Mean square radius of gyration, Solvent effect

中图分类号: 

TrendMD: