Chem. J. Chinese Universities ›› 2023, Vol. 44 ›› Issue (4): 20220561.doi: 10.7503/cjcu20220561

• Polymer Chemistry • Previous Articles     Next Articles

Statistical Properties of Ring-based Polymers Formed in Polycondensation Systems

LI Jiangtao1, ZHAO Xinxin1, GU Fang1(), WANG Haijun1,2,3()   

  1. 1.College of Chemistry and Material Science
    2.Chemical Biology Key Laboratory of Hebei Province
    3.Key Laboratory of Medicinal Chemistry and Molecular Diagnosis,Ministry of Education,Hebei University,Baoding 071002,China
  • Received:2022-08-23 Online:2023-04-10 Published:2022-09-19
  • Contact: GU Fang, WANG Haijun E-mail:fanggu@hbu.edu.cn;whj@hbu.edu.cn
  • Supported by:
    the Natural Science Foundation of Hebei Province, China(B2022201050);the Postgraduate Model Course of Hebei Province, China(KCJSX2021007);the Post-graduate’s Innovation Found Project of Hebei University, China(HBU2022bs001)

Abstract:

We present statistical properties of ring-based polymers formed in the polycondensation system consisting of ring polymers of RBf type and monomers of ABg type. The number- and weight-average molecular weights as well as polydispersity index of ring-based polymers are explicitly given. Furthermore, the effect of the molar ratio of reactants, the functionality and degree of polymerization of ring polymers on the average properties of ring-based linear and branched polymers are carried out. Consequently, a critical conversion is proposed, at which an inversion in the contribution of ring polymers to average properties of ring-based polymers takes place. Meanwhile, the polydispersity index of ring-based polymers decreases with functionality but does not depend on the molar ratio of reactants, while the critical conversion is closely related to all the above-mentioned factors. It is expected that the present results would be useful to elucidate the average properties of ring-based polymers prepared in the system under consideration.

Key words: Ring-based polymer, Weight-average molecular weight, Polydispersity index, Size distribution

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