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Rigid unit modes

Rigid unit modes (RUMs) represent a class of lattice vibrations or phonons that exist in network materials such as quartz, cristobalite or zirconium tungstate. Network materials can be described as three-dimensional networks of polyhedral groups of atoms such as SiO4 tetrahedra or TiO6 octahedra. A RUM is a lattice vibration in which the polyhedra are…

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The interest in rigid unit modes

Phase transitionsSilicatesTetrahedraSoft modesZeolites
6 related topics

Why rigid unit modes can exist

Degrees of freedomJames Clerk MaxwellSilicaPerovskite
4 related topics

Overview

PhononsQuartzCristobaliteZirconium tungstateMike Thorpe
5 related topics

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The interest in rigid unit modes

Why rigid unit modes can exist

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Rigid unit modes

Nodes19
Edges18
Triples18
Avg. degree1.89
Density0.105263
Components1

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Rigid unit modes

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related to The interest in rigid unit modes · 4
Rigid unit modes → AlO4, RUMs, SiO4, The

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Important terminology

constraints rigid modes tetrahedra materials phase rums transitions degrees freedom unit network displacive structure tetrahedron atoms floppy cristobalite structural balance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
quartzinstance ofrepresent a class of lattice vibrations or phonons that exist in network materials0.80text
cristobalite or zirconium tungstateinstance ofrepresent a class of lattice vibrations or phonons that exist in network materials0.80text
SiO4 tetrahedra or TiO6 octahedrainstance ofNetwork materials can be described as three-dimensional networks of polyhedral groups of atoms0.80text
silicatesinstance ofThe interest in rigid unit modesThe idea of rigid unit modes was developed for crystalline materials to enable an understanding of the origin of displacive phase transitions in…0.80text
which can be described as infinite three-dimensional networks of corner-lined SiO4instance ofThe interest in rigid unit modesThe idea of rigid unit modes was developed for crystalline materials to enable an understanding of the origin of displacive phase transitions in…0.80text
AlO4 tetrahedrainstance ofThe interest in rigid unit modesThe idea of rigid unit modes was developed for crystalline materials to enable an understanding of the origin of displacive phase transitions in…0.80text
cristobaliteinstance ofthe RUM model was also applied to understanding the nature of the disordered high-temperature phases of materials0.80text
the dynamicsinstance ofthe RUM model was also applied to understanding the nature of the disordered high-temperature phases of materials0.80text
localised structural distortions in zeolitesinstance ofthe RUM model was also applied to understanding the nature of the disordered high-temperature phases of materials0.80text
and negative thermal expansioninstance ofthe RUM model was also applied to understanding the nature of the disordered high-temperature phases of materials0.80text
quartzinstance ofWhat appears to happen is that symmetry reduces the number of constraints so that structures0.80text
cristobalite are slightly floppyinstance ofWhat appears to happen is that symmetry reduces the number of constraints so that structures0.80text

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