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Calculated thermodynamic properties of silica polymorphs

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Abstract

Accurate interatomic potentials have been employed to compute the phonon density of states of αquartz, stishovite and coesite polymorphs of silica. The temperature variation of several thermodynamic properties is calculated by using the phonon density of states to describe the vibrational entropy contribution to the free energy. Results for these polymorphs are in surprisingly good agreement with available experimental data. Moreover, the microscopic origin of quantitative differences in the heat capacity behavior of low and high density polymorphs is established.

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References

  • Akaogi M, Navrotsky A (1984) The quartz-coesite-stishovite transformations: new calorimetric measurements and calculation of phase diagrams. Phys Earth Planet Int 36:124–134, and references therein

    Google Scholar 

  • Allen MP, Tildesley DJ (1987) Computer Simulations of Liquids (Oxford)

  • Barron THK, Huang CC, Pasternak A (1976) Interatomic forces and lattice dynamics of α-quartz. J Phys C 9:3925–3940

    Google Scholar 

  • Beest BWH van, Kramer GJ, Santen RA van (1990) Force fields for silica and aluminophosphates based on ab initio simulations. Phys Rev Lett 64:1955–1958

    Google Scholar 

  • Binggeli N, Chelikowsky JR (1991) Structural transformation of quartz at high pressures. Nature 353:344–346

    Google Scholar 

  • Binggeli N, Keskar NR, Chelikowsky JR (1994) Pressure Induced Amorphization, Amorphization, Elastic Instability, and Soft Modes in α-Quartz. Phys Rev B 49:3075–3081

    Google Scholar 

  • Birch F (1952) Elasticity and the constitution of the earth's interior. J Geophys Res 57:227–286

    Google Scholar 

  • Boyer LL (1981) Nature of melting and superionicity in alkali and alkaline earth halides. Phys Rev Lett 45:1858–1861

    Google Scholar 

  • Bruesch P (1982) Phonons: Theory and Experiment I. (SpringerVerlag)

  • Catlow CRA, Mackrodt WC (eds) (1982) Computer Simulations of Solids (Springer-Verlag)

  • Chelikowsky JR, King HE, Troullier N, Martins JL, Glinnemann J (1990) Structural properties of α-quartz near the amorphous transition. Phys Rev Lett 65:3309–3312

    Google Scholar 

  • Chelikowsky JR, Troullier N, Martins JL (1991) Pressure dependence of the structural properties of α-quartz near the amorphous transition. Phys Rev B 44:489–497

    Google Scholar 

  • Ciccotti G, Frenkel D, McDonald IR (eds) (1987) Simulation of Liquids and Solids (North Holland)

  • Cohen LH, Klement W (1967) High-low quartz inversion: Determination to 35 Kbar. J Geophys Res 72:4245–4253

    Google Scholar 

  • Dorogokupets PI, Karpov IK, Lashkevich VV (1988) Thermodynamics of polymorphic silica forms. Izv Aka Sov Geo 11:87–97

    Google Scholar 

  • Gillet P, Le Cleach A, Madon M (1990) High temperature Raman spectroscopy of SiO2 and GeO2 polymorphs: anharmonicity and thermodynamic properties at high temperatures. J Geophys Res 95:21635–21655

    Google Scholar 

  • Hemingway BS (1987) Quartz: heat capacities from 340–1000 K and revised values for the thermodynamic properties. Am Mineral 72:273–279

    Google Scholar 

  • Hemley RJ (1987) Pressure dependence of Raman spectra of SiO2 polymorphs: α-quartz, coesite and stishovite. In: Manghnani MH, Syono Y (eds) High Pressure Research in Mineral Physics, Terra Sci, Tokyo 347–359

    Google Scholar 

  • Hemley RJ, Mao HK, Chao ECT (1986) Raman spectrum of natural and synthetic stishovite. Phys Chem Minerals 13:285–290

    Google Scholar 

  • Hemley RJ, Prewitt CT, Kingma K (1994) High pressure behavior of silica. Rev Min 29. in press

  • Hofmeister AM, Xu J, Akimoto S (1990) Infrared spectroscopy of synthetic and natural stishovite. Am Mineral 75:951–955

    Google Scholar 

  • Holm JL, Kleppa OJ, Westrum EF (1967) Thermodynamics of polymorphic transformations in silica: Thermal properties from 5–1070 K and pressure-temperature stability fields for coesite and stishovite. Geochim Cosmochim Acta 31:2289–2307

    Google Scholar 

  • Hoover WG, Young DA, Grover R (1972) Statistical mechanics of phase diagrams I. Inverse power potentials and the closepacked to body-centered cubic transition. J Chem Phys 56:2207–2210

    Google Scholar 

  • Isaak DG, Cohen RE, Mehl MJ (1990) Calculated elastic and thermal properties of MgO at high pressures and temperatures. J Geophys Res 95:7055–7067

    Google Scholar 

  • Jeanloz R, Thompson AB (1983) Phase transitions and mantle discontinuities. Rev Geophys Space Phys 21:51–74

    Google Scholar 

  • Keskar NR, Chelikowsky JR (1992a) Structural properties of nine silica polymorphs. Phys Rev B 46:1–13

    Google Scholar 

  • Keskar NR, Chelikowsky JR (1992b) Negative posson ratios in crystalline SiO2 from first-principles calculations. Nature 358:222–224

    Google Scholar 

  • Keskar NR, Troullier N, Martins JL, Chelikowsky JR (1991) Structural properties of SiO2 in the stishovite structure. Phys Rev B 44:4081–4088

    Google Scholar 

  • Kieffer SW (1979) Thermodynamics and lattice vibrations of minerals: I. Mineral heat capacities and their relationships to simple lattice vibrational models. Rev Geophys Space Phys 17:1–19

    Google Scholar 

  • Lam P, Chou MY, Cohen ML (1984) Temperature and pressure induced crystal transitions in Be. J Phys C 17:2065–2073

    Google Scholar 

  • Lee C, Gonze X (1994) Lattice dynamics and dielectric properties of SiO2 stishovite. Phys Rev Lett 72:1686–1689

    Google Scholar 

  • Levien, L, Prewitt CT, Weidner DJ (1980) Structure and elastic properties of quartz at pressure. Am Mineral 65:920–930

    Google Scholar 

  • Maradudin A, Montroll EW, Weiss GH, Ipatova IP (1971) Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press)

  • Mirwald PW, Massonne HJ (1980) The low-high quartz and quartzcoesite transition to 40 kbar between 600 and 1600 °C and some reconnaissance data on the effect of NaAlO2 component on the low quartz-coesite transition. J Geophys Res 12:6983–6990

    Google Scholar 

  • Navrotsky A (1980) Lower mantle phase transitions may generally have negative pressure temperature slope. Geophys Res Lett 7:709–711

    Google Scholar 

  • Parrinello M, Rahman A (1980) Crystal structure and pair potentials: A molecular-dynamics study. Phys Rev Lett 45:1196–1199

    Google Scholar 

  • Parrinello M, Rahman A (1981) Polymorphic transitions in single crystals: A new molecular dynamics method. J Appl Phys 52:7182–7190

    Google Scholar 

  • Richet P, Bottinga Y, Denielou L, Petitet JP, Tequi C (1982) Thermodynamic properties of quartz, cristobalite, and amorphous SiO2: Drop calorimetry measurements between 1000 K and 1800 K and review from 0 to 2000 K. Geochim Cosmochim Acta 46:2639–2658

    Google Scholar 

  • Robie RA, Hemingway JR, Fisher JR (1978) Thermodynamic properties of minerals and related substances at 298.15 K and 1b pressure and higher temperatures. Geol Surv Bull 1452:216–221

    Google Scholar 

  • Swamy V, Saxena SK, Sundman B, Zhang J (1994) A thermodynamic assessment of silica phase diagram. J Geophys Res 99:11787–11794

    Google Scholar 

  • Tse JS, Klug DD (1991) The structure and dynamics of silica polymorphs using a two-body effective potential model. J Chem Phys 95:9176–9185

    Google Scholar 

  • Tsuneyuki S, Tsukada M, Aoki H, Matsui Y (1988) First principles interatomic potential of silica applied to molecular dynamics. Phys Rev Lett 61:869–872

    Google Scholar 

  • Tsuneyuki S, Matsui Y, Aoki H, Tsukada M (1989) New pressureinduced structural transformations in silica obtained by computer simulation. Nature 339:209–211

    Google Scholar 

  • Venkataraman G, Feldkamp LA, Sahni VC (1975) Dynamics of Perfect Crystals (MIT Press)

  • Vigasina MF, Gusea EV, Orlov RY (1989) Vibrational spectrum of stishovite and analysis of its crystal lattice dynamics. Sov Phys Solid State 31:747–749

    Google Scholar 

  • Wentzcovitch RM (1991) Invariant molecular-dynamics approach to structural phase transitions. Phys Rev B 44:2358–2361

    Google Scholar 

  • Williams Q, Hemley RJ, Kruger MB, Jeanloz R (1993) High-pressure infrared spectra of α-quartz, coesite, stishovite, and silica glass. J Geophys Res 98:22157–22170

    Google Scholar 

  • Wyckoff RWG (1964) Crystal Structures (Interscience) 2nd edition 1:316

    Google Scholar 

  • Zhang J, Liebermann RC, Gasparik T, Herzberg CT (1993) Melting and Subsolidus Relations of SiO2 at 9–14 GPa. 98:19785–19793

    Google Scholar 

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Keskar, N.R., Chelikowsky, J.R. Calculated thermodynamic properties of silica polymorphs. Phys Chem Minerals 22, 233–240 (1995). https://doi.org/10.1007/BF00202256

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