现代高分子物理课程系列漫谈——溶液中高分子单链自由能

On the Teaching of Modern Polymer Physics: Free Energy of a Single Polymer Chain in Polymer Solutions

高分子单链自由能表达式对于推导及理解高分子尺寸对聚合度的标度依赖关系至关重要,本文提供了一个基于Flory格子模型的推导溶液中高分子单链自由能的新方法。该方法消除了高分子物理教学过程中高分子溶液部分知识点的割裂问题。此外,由该方法得到的单链自由能表达式可将不同性质溶剂(即良溶剂、不良溶剂和θ溶剂)中高分子尺寸与聚合度的标度关系的推导过程统一起来,帮助学生理解各个知识点之间的深层次关系,并由此感受高分子物理之美。

Free energy of a single polymer chain in polymer solutions is critical for the derivation and understanding of the scaling law between the polymer size and its degree of polymerization. This work provides a novel derivation of the single-chain free energy based on the Flory lattice model.