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(Xn)的计算这一教学难点，本文对不同缩聚体系中Xn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Xn的方法仅适用于线形缩聚。对于aAa + bBb + Cb和aRb + 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(f)计算Xn的方法适用于线形缩聚和体形缩聚，且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 (Xn) 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 aAa + bBb + Cb and aRb + Cb systems, the monofunctional Cb must first be converted to an equivalent bifunctional monomer with matching end-capping 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 (f) method demonstrates broader applicability, suitable for both linear and crosslinked polycondensation systems, with f being directly calculable from its definition. The integration of rigorous formula derivations with practical application examples has yielded significant improvements in teaching outcomes.
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