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

The Kauzmann temperature<i> T</i><sub>K</sub> 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 <i>T</i><sub>K</sub>. Studying th...

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Main Authors: Qian Gao, Zengyun Jian
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/9/2151
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spelling doaj-cca7c39ca1004d828ce819e06765a0272020-11-25T02:05:22ZengMDPI AGMaterials1996-19442020-05-01132151215110.3390/ma13092151Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming LiquidsQian Gao0Zengyun Jian1School of Materials and Chemical Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Materials and Chemical Engineering, Xi’an Technological University, Xi’an 710021, ChinaThe Kauzmann temperature<i> T</i><sub>K</sub> 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 <i>T</i><sub>K</sub>. Studying the ideal glass transition temperature is beneficial to understanding the essence of glass transition in glass-forming liquids. The Kauzmann temperature <i>T</i><sub>K</sub> values are predicted in 38 kinds of glass-forming liquids. In order to acquire the accurate predicted <i>T</i><sub>K</sub> by using a new deduced equation, we obtained the best fitting parameters of the deduced equation with the high coefficient of determination (<i>R</i><sup>2</sup> = 0.966). In addition, the coefficients of two reported relations are replaced by the best fitting parameters to obtain the accurate predicted <i>T</i><sub>K</sub>, which makes the <i>R</i><sup>2</sup> 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 <i>T</i><sub>K</sub> values.https://www.mdpi.com/1996-1944/13/9/2151glass transition temperaturefragility parameterKauzmann temperaturethermodynamic ideal glass transition temperatureglass-forming liquid
collection DOAJ
language English
format Article
sources DOAJ
author Qian Gao
Zengyun Jian
spellingShingle Qian Gao
Zengyun Jian
Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
Materials
glass transition temperature
fragility parameter
Kauzmann temperature
thermodynamic ideal glass transition temperature
glass-forming liquid
author_facet Qian Gao
Zengyun Jian
author_sort Qian Gao
title Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
title_short Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
title_full Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
title_fullStr Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
title_full_unstemmed Predicting the Thermodynamic Ideal Glass Transition Temperature in Glass-Forming Liquids
title_sort predicting the thermodynamic ideal glass transition temperature in glass-forming liquids
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2020-05-01
description The Kauzmann temperature<i> T</i><sub>K</sub> 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 <i>T</i><sub>K</sub>. Studying the ideal glass transition temperature is beneficial to understanding the essence of glass transition in glass-forming liquids. The Kauzmann temperature <i>T</i><sub>K</sub> values are predicted in 38 kinds of glass-forming liquids. In order to acquire the accurate predicted <i>T</i><sub>K</sub> by using a new deduced equation, we obtained the best fitting parameters of the deduced equation with the high coefficient of determination (<i>R</i><sup>2</sup> = 0.966). In addition, the coefficients of two reported relations are replaced by the best fitting parameters to obtain the accurate predicted <i>T</i><sub>K</sub>, which makes the <i>R</i><sup>2</sup> 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 <i>T</i><sub>K</sub> values.
topic glass transition temperature
fragility parameter
Kauzmann temperature
thermodynamic ideal glass transition temperature
glass-forming liquid
url https://www.mdpi.com/1996-1944/13/9/2151
work_keys_str_mv AT qiangao predictingthethermodynamicidealglasstransitiontemperatureinglassformingliquids
AT zengyunjian predictingthethermodynamicidealglasstransitiontemperatureinglassformingliquids
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