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A Unified Theoretical Treatment on Statistical Properties of the Semi-batch Self-condensing Vinyl Polymerization System

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Abstract

We present a novel generating function (GF) method for the self-condensing vinyl polymerization (SCVP) system with any initial distribution of preexisted polymers. Such a method was proven to be especially useful to investigate the semi-batch SCVP system allowing a sequence of feeding operations during the polymerization. Consequently, the number-, weight-, and z-average molecular weights as well as dispersity index of hyperbranched polymers can be explicitly given, which are determined by predetermined feeding details and conversions in each polymerization step. These analytical results are further confirmed by the corresponding Monte Carlo simulations. Therefore, the present GF method has provided a unified treatment to the semi-batch SCVP system. Accordingly, hyperbranched polymers with desired properties can be prepared by designing feeding details and presetting conversions at each step based on the present GF method.

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Acknowledgments

This work was financially supported by the Project for Talent Engineering of Hebei Province (No. A2016015001). Dr. Gu is gratefully acknowledged the Project for Top Young Talent of Hebei Province and that for general colleges of Hebei Province (No. BJ2017017).

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Authors and Affiliations

  1. College of Chemistry and Environment Science, Hebei University, Baoding, 071002, China

    Fang Gu, Jiang-Tao Li & Hai-Jun Wang

  2. College of Physical Science and Technology, Hebei University, Baoding, 071002, China

    Xiao-Zhong Hong

  3. Chemical Biology Key Laboratory of Hebei Province, Hebei University, Baoding, 071002, China

    Hai-Jun Wang

  4. Key Laboratory of Medicinal Chemistry and Molecular Diagnosis, Ministry of Education, Hebei University, Baoding, 071002, China

    Hai-Jun Wang

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  1. Fang Gu
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  2. Jiang-Tao Li
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Correspondence to Xiao-Zhong Hong or Hai-Jun Wang.

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Gu, F., Li, JT., Hong, XZ. et al. A Unified Theoretical Treatment on Statistical Properties of the Semi-batch Self-condensing Vinyl Polymerization System. Chin J Polym Sci 39, 1510–1520 (2021). https://doi.org/10.1007/s10118-021-2603-2

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