Discussion on Mixing Free Energy-composition Curve and Phase Diagram in Polymer Physics

LU Da-wei; XU Bo-jun

doi:10.14028/j.cnki.1003-3726.2023.10.012

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Discussion on Mixing Free Energy-composition Curve and Phase Diagram in Polymer Physics

更新时间：2023-09-19

- Discussion on Mixing Free Energy-composition Curve and Phase Diagram in Polymer Physics
- Polymer Bulletin Vol. 36, Issue 10, Pages: 1356-1361(2023)
- 作者机构：
  
  北京化工大学材料科学与工程学院，北京　102299
- 作者简介：
- 基金信息：
- DOI：10.14028/j.cnki.1003-3726.2023.10.012
  CLC：
- Published：20 October 2023，
  
  Received：09 February 2023，
  
  Revised：29 March 2023，
扫描看全文
LU Da-wei, XU Bo-jun. Discussion on Mixing Free Energy-composition Curve and Phase Diagram in Polymer Physics. [J]. Polymer Bulletin 36(10):1356-1361(2023)
DOI：

LU Da-wei, XU Bo-jun. Discussion on Mixing Free Energy-composition Curve and Phase Diagram in Polymer Physics. [J]. Polymer Bulletin 36(10):1356-1361(2023) DOI： 10.14028/j.cnki.1003-3726.2023.10.012.

摘要

本文针对高分子物理教材中的自由能-组成曲线与相图进行了进一步的阐释与解读。将自由能组成曲线三维图示化，并对相图进行直观展示与探讨。从数学的角度讨论了自由能-组成曲线走势的影响因素，进一步阐明了公切点有别于双节点，并证明了相分离后分离态的组成为自由能曲线公切点的横坐标。证明方法易懂，具有启发性，便于学生接受，能够作为高分子物理中相分离热力学知识体系与教学思路的有益补充。

Abstract

In this paper

the free energy-composition curves and phase diagrams in polymer physics are discussed and interpreted. The free energy-composition curve is presented in 3D illustration

and the phase diagram is displayed and discussed intuitively. The factors influencing the trend of the free energy-composition curve are discussed from the point of view of mathematics. It is further clarified that the common tangent point is different from the binodal point. It is proven that the composition of separated states after phase separation is the abscissa of the common tangent points of the free energy curve. The proof method is easy enlightening and acceptable for students to understand

and it can be a useful supplement to the knowledge system and teaching ideas of phase separation thermodynamics in polymer physics.

关键词

相分离相图混合自由能-组成曲线双节点旋节点

Keywords

Phase separationPhase diagramMixing free energy-composition curveBinodal pointSpinodal point

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