高等学校化学学报 ›› 2003, Vol. 24 ›› Issue (7): 1332.

• 研究快报 • 上一篇    下一篇

高度支化共聚物的均方回转半径和支化度的关系

余敏强1, 周志平1, 颜德岳1, 李泽生2   

  1. 1. 上海交通大学化学化工学院, 上海 200240;
    2. 吉林大学理论化学计算国家重点实验室, 长春 130023
  • 收稿日期:2003-01-06 出版日期:2003-07-24 发布日期:2003-07-24
  • 通讯作者: 颜德岳(1937年出生),男,教授,博士生导师.从事高分子化学与物理的研究.E-mail:dyyan@mail.sjtu.edu.cn E-mail:dyyan@mail.sjtu.edu.cn
  • 基金资助:

    国家自然科学基金(批准号:50233030);吉林大学理论化学计算国家重点实验室开放基金资助

Relationship Between Mean-square Radius of Gyration and Degree of Branching for Highly Branched Copolymers

YU Min-Qiang1, ZHOU Zhi-Ping1, YAN De-Yue1, LI Ze-Sheng2   

  1. 1. College of Chemistry and Chemical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;
    2. State Key Laboratory of Theoretical and Computational Chemistry, Jilin University, Changchun 130023, China
  • Received:2003-01-06 Online:2003-07-24 Published:2003-07-24

关键词: 超支化共聚物, 支化度, 均方回转半径

Abstract: This work deals with the dependence of the z-average mean-square radius of gyration (<R2> z) on the degree of branching(DB) for highly branched copolymers made from the one-pot cocondensation of AB2 and AB monomers. A new expression of the degree of branching has been derived. The DB monotonously increases with increasing A group conversion and the fraction of AB2 monomers. The value of DB calculated in accordance with our formula is lower than that given by Frey and coworkers. Howerver, when the reaction approaches completion, our expression of the degree of branching degenerates into the equation reported by Frey. Furthermore, the z-average mean-square of gyration of the resulting copolymer in the Θ state has been derived on the basis of the classical work developed by Stockmayer, Gordon, Li and Ba. The relationship between DB and <R2> z is illustrated by numerical results. The z-average mean-square radius of gyration of the copolymer with a certain weight-average molecular weight monotonously decreases with increasing the degree of branching.

Key words: Hyperbranched copolymers, Degree of branching, Mean-square radius of gyration

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