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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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 |
_version_ |
1724938390469607424 |