Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids.

Qian Gao,Zengyun Jian

doi:10.3390/ma13092151

Qian Gao, Zengyun Jian

Open Access

https://doi.org/10.3390/ma13092151

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Journal: Materials	Publication Date: May 6, 2020
Citations: 6	License type: CC BY 4.0

Affiliation: Xi'an Technological University

Abstract

The Kauzmann temperature TK is a lower limit of glass transition temperature, and is known as the ideal thermodynamic glass transition temperature. A supercooled liquid will condense into glass before TK. Studying the ideal glass transition temperature is beneficial to understanding the essence of glass transition in glass-forming liquids. The Kauzmann temperature TK values are predicted in 38 kinds of glass-forming liquids. In order to acquire the accurate predicted TK by using a new deduced equation, we obtained the best fitting parameters of the deduced equation with the high coefficient of determination (R2 = 0.966). In addition, the coefficients of two reported relations are replaced by the best fitting parameters to obtain the accurate predicted TK, which makes the R2 values increase from 0.685 and 0.861 to 0.970 and 0.969, respectively. Three relations with the best fitting parameters are applied to obtain the accurate predicted TK values.

Highlights

If crystallization can be avoided by sufficiently rapid cooling, a supercooled liquid will become a glassy state at glass transition temperature Tg, at which the viscosity of the supercooled liquid is typically
Its curve can be extrapolated to the Kauzmann temperature TK, at which point ∆S will vanish
We regard the mmin value as the fitting parameter to improve the accuracy of predicting

Summary

Introduction

With temperature decreases, their entropic surplus is consumed, and the glass transition sets in when the slope of the curve changes. TK , the entropy of the supercooled liquid will become less than that of its crystalline phase. Kauzmann temperature TK is a lower limit of glass transition temperature (i.e., the thermodynamic ideal glass transition temperature) and the supercooled liquid will condense into glass, having the same entropy as the perfect crystal at TK [8]

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Conclusion