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

Fang Gu; Jiang-Tao Li; Xiao-Zhong Hong; Hai-Jun Wang

doi:10.1007/s10118-021-2603-2

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

ARTICLE | Updated：2021-06-24

- A Unified Theoretical Treatment on Statistical Properties of the Semi-batch Self-condensing Vinyl Polymerization System
- Chinese Journal of Polymer Science Vol. 39, Issue 11, Pages: 1510-1520(2021)
- Affiliations：
  
  a.College of Chemistry and Environment Science, Hebei University, Baoding 071002, China
  b.College of Physical Science and Technology, Hebei University, Baoding 071002, China
  c.Chemical Biology Key Laboratory of Hebei Province, Hebei University, Baoding 071002, China
  d.Key Laboratory of Medicinal Chemistry and Molecular Diagnosis, Ministry of Education, Hebei University, Baoding 071002, China
- Author bio：
  
  hxz@hbu.edu.cn (X.Z.H.)
  whj@hbu.edu.cn (H.J.W.)
- Funds：
- DOI：10.1007/s10118-021-2603-2
  CLC：
- Received：26 March 2021，
  
  Revised：2021-4-15，
  
  Accepted：04 May 2021，
  
  Online First：24 June 2021，
  
  Published：18 September 2021
- Accepted：
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Gu, F.; Li, J. T.; Hong, X. Z.; Wang, H. J. A unified theoretical treatment on statistical properties of the semi-batch self-condensing vinyl polymerization system. Chinese J. Polym. Sci. 2021, 39, 1510–1520

Fang Gu, Jiang-Tao Li, Xiao-Zhong Hong, et al. A Unified Theoretical Treatment on Statistical Properties of the Semi-batch Self-condensing Vinyl Polymerization System[J]. Chinese Journal of Polymer Science, 2021, 39(11): 1510-1520.
Gu, F.; Li, J. T.; Hong, X. Z.; Wang, H. J. A unified theoretical treatment on statistical properties of the semi-batch self-condensing vinyl polymerization system. Chinese J. Polym. Sci. 2021, 39, 1510–1520 DOI： 10.1007/s10118-021-2603-2.

Fang Gu, Jiang-Tao Li, Xiao-Zhong Hong, et al. A Unified Theoretical Treatment on Statistical Properties of the Semi-batch Self-condensing Vinyl Polymerization System[J]. Chinese Journal of Polymer Science, 2021, 39(11): 1510-1520. DOI： 10.1007/s10118-021-2603-2.

摘要

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

-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.

关键词

Keywords

references

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