Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals

Na Li; Yu-Pei Tian; Tian-Yu Wu; Qiong Zhou; Hai-Mu Ye

doi:10.1007/s10118-025-3270-5

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Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals

RESEARCH ARTICLE | Updated：2025-01-23

- Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals
- Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals
- 高分子科学（英文） 2025年43卷第2期页码：392-398
- Affiliations：
  
  College of New Energy and Materials, China University of Petroleum, Beijing 102249, China
- Author bio：
  
  yehaimu@cup.edu.cn
- Funds：
  
  This work was financially supported by the National Natural Science Foundation of China (Nos. 22473113 and 22173116).;Electronic supplementary information (ESI) is available free of charge in the online version of this article at http://doi.org/10.1007/s10118-025-3270-5.
- DOI：10.1007/s10118-025-3270-5
  中图分类号：
- 收稿：2024-10-14，
  
  修回：2024-11-14，
  
  录用：2024-11-19，
  
  网络首发：2025-01-17，
  
  纸质出版：2025-02-01
- Accepted：
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Li, N.; Tian, Y. P.; Wu, T. Y.; Zhou, Q.; Ye, H. M. Revisit the gibbs-thomson equation fitting of poly(butylene succinate) based on oligomer extended-chain crystals. Chinese J. Polym. Sci. 2025, 43, 392–398

Na Li, Yu-Pei Tian, Tian-Yu Wu, et al. Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals[J]. Chinese Journal of Polymer Science, 2025, 43(2): 392-398.
Li, N.; Tian, Y. P.; Wu, T. Y.; Zhou, Q.; Ye, H. M. Revisit the gibbs-thomson equation fitting of poly(butylene succinate) based on oligomer extended-chain crystals. Chinese J. Polym. Sci. 2025, 43, 392–398 DOI： 10.1007/s10118-025-3270-5.

Na Li, Yu-Pei Tian, Tian-Yu Wu, et al. Revisit the Gibbs-Thomson Equation Fitting of Poly(butylene succinate) Based on Oligomer Extended-Chain Crystals[J]. Chinese Journal of Polymer Science, 2025, 43(2): 392-398. DOI： 10.1007/s10118-025-3270-5.

摘要

The advantages of a fixed surface structure and large thickness of the oligomer ECCs make them ideal for validating the Gibbs-Thomson equation of PBS oligomer ECCs in comparison with the folded-chain lamellae data from previous literature.

Abstract

The equilibrium melting point (

) is a crucial thermodynamic parameter for characterizing the crystallization and melting behavior of semi-crystalline polymers. However

the direct measurement of

poses a significant challenge because of the difficulty in physically fabricating fully-extended chain crystals of high-molecular-weight polymers. Therefore

various extrapolation equations for

have been proposed that utilize the thermal properties of ordinary folded-chain lamellae. Among these

the Gibbs-Thomson equation is one of the most commonly employed for modeling. Despite its widespread use

there are notable variations in the

values obtained by different research groups

en when based on similar samples. This raises questions about the validity and accuracy of using the Gibbs-Thomson equation to linearly extrapolate

. In this study

we prepared a series of oligomer extended-chain crystals (ECCs) of poly(butylene succinate) (PBS) and used their properties for Gibbs-Thomson fitting. The results reveal a perfect linear relationship

with an extrapolated

value of 136.08 °C. The basal surface free energy of the oligomer ECCs was calculated as 0.084 J/m

which is approximately twice that of folded-chain lamellae. This difference is attributed to the aggregation of highly mobile free tails on the crystal surface. The two structural features of oligomer ECCs—large thickness and fixed surface—better fulfill the conditions for applying the Gibbs-Thomson equation

ensuring its validity and accuracy. Therefore

we believe that the Gibbs-Thomson fit can produce reliable results when sufficient high-quality data are used.

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references

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