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
hxz@hbu.edu.cn (X.Z.H.)
whj@hbu.edu.cn (H.J.W.)
收稿:2021-03-26,
修回:2021-4-15,
录用:2021-5-4,
网络首发:2021-06-24,
纸质出版:2021-09-18
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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.
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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