On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials

Alterations of fluid phase transitions in porous materials are conventionally employed for the characterization of mesoporous solids. In the first approximation, this may be based on the application of the Kelvin equation for gas–liquid and the Gibbs–Thomson equation for solid–liquid phase equilibri...

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Main Authors: Henry R. N. B. Enninful, Dirk Enke, Rustem Valiullin
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/15/7/2350
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author Henry R. N. B. Enninful
Dirk Enke
Rustem Valiullin
author_facet Henry R. N. B. Enninful
Dirk Enke
Rustem Valiullin
author_sort Henry R. N. B. Enninful
collection DOAJ
description Alterations of fluid phase transitions in porous materials are conventionally employed for the characterization of mesoporous solids. In the first approximation, this may be based on the application of the Kelvin equation for gas–liquid and the Gibbs–Thomson equation for solid–liquid phase equilibria for obtaining pore size distributions. Herein, we provide a comparative analysis of different phase coexistences measured in mesoporous silica solids with different pore sizes and morphology. Instead of comparing the resulting pore size distributions, we rather compare the transitions directly by using a common coordinate for varying the experiment’s thermodynamic parameters based on the two equations mentioned. Both phase transitions in these coordinates produce comparable results for mesoporous solids of relatively large pore sizes. In contrast, marked differences are found for materials with smaller pore sizes. This illuminates the fact that, with reducing confinement sizes, thermodynamic fluctuations become increasingly important and different for different equilibria considered. In addition, we show that in the coordinate used for analysis, mercury intrusion matches perfectly with desorption and freezing transitions.
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spelling doaj.art-1d070bd2c5e844c9ae670f0528ee4fca2023-11-30T23:30:56ZengMDPI AGMaterials1996-19442022-03-01157235010.3390/ma15072350On the Comparative Analysis of Different Phase Coexistences in Mesoporous MaterialsHenry R. N. B. Enninful0Dirk Enke1Rustem Valiullin2Felix Bloch Institute for Solid State Physics, Leipzig University, 04103 Leipzig, GermanyInstitute for Technical Chemistry, Leipzig University, 04103 Leipzig, GermanyFelix Bloch Institute for Solid State Physics, Leipzig University, 04103 Leipzig, GermanyAlterations of fluid phase transitions in porous materials are conventionally employed for the characterization of mesoporous solids. In the first approximation, this may be based on the application of the Kelvin equation for gas–liquid and the Gibbs–Thomson equation for solid–liquid phase equilibria for obtaining pore size distributions. Herein, we provide a comparative analysis of different phase coexistences measured in mesoporous silica solids with different pore sizes and morphology. Instead of comparing the resulting pore size distributions, we rather compare the transitions directly by using a common coordinate for varying the experiment’s thermodynamic parameters based on the two equations mentioned. Both phase transitions in these coordinates produce comparable results for mesoporous solids of relatively large pore sizes. In contrast, marked differences are found for materials with smaller pore sizes. This illuminates the fact that, with reducing confinement sizes, thermodynamic fluctuations become increasingly important and different for different equilibria considered. In addition, we show that in the coordinate used for analysis, mercury intrusion matches perfectly with desorption and freezing transitions.https://www.mdpi.com/1996-1944/15/7/2350porous solidsphase equilibrianitrogen sorptionNMR cryoporometrythermoporometrymercury porosimetry
spellingShingle Henry R. N. B. Enninful
Dirk Enke
Rustem Valiullin
On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
Materials
porous solids
phase equilibria
nitrogen sorption
NMR cryoporometry
thermoporometry
mercury porosimetry
title On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
title_full On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
title_fullStr On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
title_full_unstemmed On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
title_short On the Comparative Analysis of Different Phase Coexistences in Mesoporous Materials
title_sort on the comparative analysis of different phase coexistences in mesoporous materials
topic porous solids
phase equilibria
nitrogen sorption
NMR cryoporometry
thermoporometry
mercury porosimetry
url https://www.mdpi.com/1996-1944/15/7/2350
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