Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses

Introducing an interaction parameter γ, we implement modifier interaction and the mixed-alkali effect into bond constraint theory, and apply this extension for simplistic property prediction on ternary phosphate glasses. The severity of the mixed alkali effect results from the interplay of two simul...

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Main Authors: Bruno ePoletto Rodrigues, Joachim eDeubener, Lothar eWondraczek
Format: Article
Language:English
Published: Frontiers Media S.A. 2016-05-01
Series:Frontiers in Materials
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fmats.2016.00025/full
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author Bruno ePoletto Rodrigues
Joachim eDeubener
Lothar eWondraczek
author_facet Bruno ePoletto Rodrigues
Joachim eDeubener
Lothar eWondraczek
author_sort Bruno ePoletto Rodrigues
collection DOAJ
description Introducing an interaction parameter γ, we implement modifier interaction and the mixed-alkali effect into bond constraint theory, and apply this extension for simplistic property prediction on ternary phosphate glasses. The severity of the mixed alkali effect results from the interplay of two simultaneous contributions: Bond constraints on the modifier species soften or stiffen with decreasing or increasing γ, respectively. When the modifier size is not too dissimilar the decrease in γ reflects that the alkali ions can easily migrate between different sites, forcing the network to continuously re-accommodate for any subsequent distortions. With increasing size difference, migration becomes increasingly difficult without considerable network deformation. This holds even for smaller ions, where the sluggish dynamics of the larger constituent result in blocking of the fast ion movement, leading to the subsequent increase in γ. Beyond a certain size difference in the modifier pair, a value of γ exceeding unity may indicate the presence of steric hindrance due to the large surrounding modifiers impeding the phosphate network to re-accommodate deformation.
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spelling doaj.art-84877e82a42e4f45accbc1c6479d603f2022-12-22T01:38:24ZengFrontiers Media S.A.Frontiers in Materials2296-80162016-05-01310.3389/fmats.2016.00025198331Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glassesBruno ePoletto Rodrigues0Joachim eDeubener1Lothar eWondraczek2Otto-Schott-Institute of Materials ResearchClausthal University of TechnologyOtto-Schott-Institute of Materials ResearchIntroducing an interaction parameter γ, we implement modifier interaction and the mixed-alkali effect into bond constraint theory, and apply this extension for simplistic property prediction on ternary phosphate glasses. The severity of the mixed alkali effect results from the interplay of two simultaneous contributions: Bond constraints on the modifier species soften or stiffen with decreasing or increasing γ, respectively. When the modifier size is not too dissimilar the decrease in γ reflects that the alkali ions can easily migrate between different sites, forcing the network to continuously re-accommodate for any subsequent distortions. With increasing size difference, migration becomes increasingly difficult without considerable network deformation. This holds even for smaller ions, where the sluggish dynamics of the larger constituent result in blocking of the fast ion movement, leading to the subsequent increase in γ. Beyond a certain size difference in the modifier pair, a value of γ exceeding unity may indicate the presence of steric hindrance due to the large surrounding modifiers impeding the phosphate network to re-accommodate deformation.http://journal.frontiersin.org/Journal/10.3389/fmats.2016.00025/fullglass transition temperaturetopological constraintsPhosphate glassesMixed alkali effectBond constraint theory
spellingShingle Bruno ePoletto Rodrigues
Joachim eDeubener
Lothar eWondraczek
Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
Frontiers in Materials
glass transition temperature
topological constraints
Phosphate glasses
Mixed alkali effect
Bond constraint theory
title Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
title_full Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
title_fullStr Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
title_full_unstemmed Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
title_short Modifier interaction and mixed-alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
title_sort modifier interaction and mixed alkali effect in bond constraint theory applied to ternary alkali metaphosphate glasses
topic glass transition temperature
topological constraints
Phosphate glasses
Mixed alkali effect
Bond constraint theory
url http://journal.frontiersin.org/Journal/10.3389/fmats.2016.00025/full
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AT lotharewondraczek modifierinteractionandmixedalkalieffectinbondconstrainttheoryappliedtoternaryalkalimetaphosphateglasses