A lattice-dynamical treatment of displacive phase transitions leads naturally to the softmode model, in which the phase-transition mechanism involves a phonon frequency that falls to zero at the transition temperature. The basic ideas of this approach are reviewed in relation to displacive phase transitions in silicates. A simple free-energy model is used to demonstrate that Landau theory gives a good approximation to the free energy of the transition, provided that the entropy is primarily produced by the phonons rather than any configurational disorder. The ‘‘rigid unit mode’’ model provides a physical link between the theory and the chemical bonds in silicates and this allows us to understand the origin of the transition temperature and also validates the application of the soft-mode model. The model is also used to reappraise the nature of the structures of high-temperature phases. Several issues that remain open, such as the origin of first-order phase transitions and the thermodynamics of pressure-induced phase transitions, are discussed.
Contents
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Publicly AvailableReview: Theory of displacive phase transitions in mineralsNovember 13, 2015
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November 13, 2015
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Publicly AvailableK in clinopyroxene at high pressure and temperature: An experimental studyNovember 13, 2015
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Publicly AvailableCrystal structure of monoclinic hydrous wadsleyite [β-(Mg,Fe)2SiO4]November 13, 2015
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November 13, 2015
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Publicly AvailableAl, Si, and Mg occupancies in tetrahedrally and octahedrally coordinated sites in synthetic aluminous tremoliteNovember 13, 2015
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Publicly AvailableTransformation of mackinawite to greigite: An in situ X-ray powder diffraction and transmission electron microscope studyNovember 13, 2015
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Publicly AvailableCathodoluminescence of meteoritic and synthetic forsterite at 296 and 77 K using TEMNovember 13, 2015
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Publicly AvailableCl incorporation into successively zoned amphiboles from the Ramnes cauldron, NorwayNovember 13, 2015
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Publicly AvailableMulti-site order-disorder kinetics in crystalline solids: A generalized formulationNovember 13, 2015
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Publicly AvailableRedox conditions in piston-cylinder apparatus: The different behavior of boron nitride and unfired pyrophyllite assembliesNovember 13, 2015
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Publicly AvailableA new garnet-orthopyroxene thermometer based on reversed Al2O3 solubility in FeO-Al2O3-SiO2 orthopyroxeneNovember 13, 2015
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Publicly AvailableMelting experiments on komatiite analog compositions at 5 GPaNovember 13, 2015
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Publicly AvailableDegassing of alkalic basaltsNovember 13, 2015
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Publicly AvailablePhase relations among smectite, R1 illite-smectite, and illiteNovember 13, 2015
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Publicly AvailableTiming and mechanisms of carbon isotope exchange in granulite-facies calc-silicate boudins, Rauer Group, East AntarcticaNovember 13, 2015
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Publicly AvailableChanges in the crystal structure of tsaregorodtsevite [N(CH3)4][Si2(Si0.5Al0.5)O6]2 on heatingNovember 13, 2015
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Publicly AvailableSurite: Its Structure and PropertiesNovember 13, 2015
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Publicly AvailableTerranovaite from Antarctica: A new ‘pentasil’ zeoliteNovember 13, 2015