引用本文:
王春花, 王文志, 李祥刚. 高分子化学中缩聚反应数均聚合度的计算方法探讨[J]. 大学化学,
2026, 41(7): 385-393.
doi:
10.12461/PKU.DXHX202506101
Citation: Chunhua Wang, Wenzhi Wang, Xianggang Li. Discussion on calculation methods for the number-average degree of polymerization in polycondensation reactions within polymer chemistry[J]. University Chemistry, 2026, 41(7): 385-393. doi: 10.12461/PKU.DXHX202506101
Citation: Chunhua Wang, Wenzhi Wang, Xianggang Li. Discussion on calculation methods for the number-average degree of polymerization in polycondensation reactions within polymer chemistry[J]. University Chemistry, 2026, 41(7): 385-393. doi: 10.12461/PKU.DXHX202506101
高分子化学中缩聚反应数均聚合度的计算方法探讨
摘要:
为了突破高分子化学中缩聚反应数均聚合度$\left(\overline{X_n}\right)$的计算这一教学难点，本文对不同缩聚体系中$\overline{X_n}$的两种计算方法所涉及的公式进行了详细地推导与分析。利用基团数比（$r$）计算$\overline{X_n}$的方法仅适用于线形缩聚。对于$\mathrm{aAa}+\mathrm{bBb}+\mathrm{Cb}$和$\mathrm{aRb}+\mathrm{Cb}$体系，需先将单官能团Cb转换为封端作用相同的双官能团单体，再根据定义计算$r$。当体系中b基团过量时，Cb的封端作用等效于bBb；a基团过量时，Cb的封端作用等效于aRb。利用平均官能度$(\bar{f})$计算$\overline{X_n}$的方法适用于线形缩聚和体形缩聚，且$\bar{f}$可直接根据定义计算。通过公式推导与应用实例相结合，教学成效显著提升。
English
Discussion on calculation methods for the number-average degree of polymerization in polycondensation reactions within polymer chemistry
Abstract:
To address the pedagogical challenge of calculating the number-average degree of polymerization $\left(\overline{X_n}\right)$ in polycondensation reactions, this study systematically derives and analyzes the formulas involved in two distinct calculation approaches for different polycondensation systems. The functional group molar ratio ($r$) method proves exclusively applicable to linear polycondensation. For $\mathrm{aAa}+\mathrm{bBb}+\mathrm{Cb}$ and $\mathrm{aRb}+\mathrm{Cb}$ systems, the monofunctional Cb must first be converted to an equivalent bifunctional monomer with matching endcapping effects before determining $r$. When b groups are in excess, Cb's end-capping effect corresponds to bBb; conversely, with excess a groups, it mirrors aRb. The average functionality ($\bar{f}$) method demonstrates broader applicability, suitable for both linear and crosslinked polycondensation systems, with $\bar{f}$ being directly calculable from its definition. The integration of rigorous formula derivations with practical application examples has yielded significant improvements in teaching outcomes.
-
-
[1]
潘祖仁. 高分子化学. 第5版. 北京: 化学工业出版社, 2011.
-
[2]
潘才元. 高分子化学. 第2版. 合肥: 中国科学技术大学出版社, 2012.
-
[3]
唐黎明, 庹新林. 高分子化学. 第2版. 北京: 清华大学出版社, 2016.
-
[4]
刘向东. 高分子化学. 北京: 化学工业出版社, 2021.
-
[5]
卢江, 梁晖. 高分子化学. 第3版. 北京: 化学工业出版社, 2021.
-
[6]
孟志芬. 大学化学, 2021, 36(2), 2001002.
-
[7]
曹可生, 赵晓军, 高航. 高分子通报, 2014, No. 7, 112.
-
[8]
张道洪, 程新建, 李廷成, 张爱清. 大学化学, 2013, 28(4), 77.
-
[9]
刘小云, 李欣欣, 庄启昕. 化学教育(中英文), 2022, 43(24), 125.
-
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