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A computer simulation of the structure and elastic properties of MgSiO3 perovskite

Published online by Cambridge University Press:  05 July 2018

A. Wall
Affiliation:
Department of Geological Sciences, University College London, Gower Street, London WC1E 6BT
G. D. Price
Affiliation:
Department of Geological Sciences, University College London, Gower Street, London WC1E 6BT
S. C. Parker
Affiliation:
Department of Chemistry, University of Bath, Avon BA2 7AY

Abstract

The structure and elastic properties of MgSiO3, a major mantle-forming phase, have been simulated using computer models which predict the minimum energy structure by using interatomic pair potentials to describe the net forces acting between the atoms. Four such interatomic potentials were developed in this study, and are compared with potential N1 of Miyamoto and Takeda (1984). The most successful potential (W3) was derived by fitting the short range potential parameters to both the experimentally obtained structural and elastic properties of MgSiO3 perovskite. The relative stabilities of some of the possible perovskite polymorphs, the orthorhombic, cubic, and tetragonal phases and hexagonal polytypes, were evaluated at 0 K and between 1 bar and 2 Mbar. The orthorhombic phase is found to be stable at all but the highest pressures, where the cubic phase may be stable. The temperature of the ortho-rhombic to cubic transition may decrease with increasing pressure. The energy of a stacking fault on (110) in the cubic phase was estimated using the ANNNI model and found to be about 1.95 J m−2 using potential W3. The distance of separation of partial dislocations of this type is predicted to increase with increasing pressure from 8.4 Å at 1 bar to 9.2 Å at 1 Mbar.

Type
Crystal structure studies
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1986

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References

Bass, J.D. (1984) Elasticity of single-crystal SmAlO3, GdAlO3, and ScAlO3 perovskites. Phys. Earth Planet. Inter, 36, 145-56.CrossRefGoogle Scholar
Burnham, C.W. (1985) Mineral structure energetics and modelling using the ionic approach. Reviews in Mineralogy,14. ( S. W. Kieffer and A. Natrotsky, eds.). Mineral. Soc. America, 347-88.Google Scholar
Busing, W.R. (1981) WMIN, a computer program to model molecules and crystals in terms of potential energy functions.Oak Ridge National Laboratory, Oak Ridge, Tennessee.CrossRefGoogle Scholar
Catlow, C.R.A. (1977) Point defects and electronic properties of uranium dioxide. Proc. R. Soc. London, A353, 533-61.Google Scholar
Catlow, C.R.A. and Mackrodt, W.C. (1982) Computer simulation in solids. Lecture notes in physics, 166. Springer, Berlin.Google Scholar
Catlow, C.R.A. Cormack, A.N., and Theobald, F. (1984) Structure prediction of transition metal oxides using Energy minimization Techniques. Ada Crystallogr, B40, 195-20.CrossRefGoogle Scholar
Clarke, R., and Benguigui, L. (1977) The tricritical point in BaTiO3. J. Phys. C: Solid State Phys, 10, 1963-73.CrossRefGoogle Scholar
Dziewonski, A.M., and Anderson, D.L. (1981) Preliminary reference earth model. Phys. Earth Planet. Inter, 25, 297-356.CrossRefGoogle Scholar
Fisher, M.E., and Selke, W. (1981) Low temperature analysis of the axial next-nearest neighbour Ising model. Phil. Trans. R. Soc, 302, 1-44.Google Scholar
Glazer, A.M. (1975) Simple ways of determining perovskite structures. Ada Crystallogr, A31, 756-62.CrossRefGoogle Scholar
Granicher, H.t and Jakits, O. (1954) Uber die dielektischen Eigenschaften und Phasenumwandlungen bei Mischkristallsystemen vom Perowskittyp. Nuovo Cimento, 9, Suppl. 10, 480-520.Google Scholar
Hazen, R.M., and Finger, L.W. (1982) Comparative Crystal Chemistry. Wiley, New York.Google Scholar
Hull, D. (1975) Introduction to dislocations. Pergamon Press Ltd. Oxford.Google Scholar
Ikeda, T. (1975) Effect of hydrostatic pressure on the phase transition of ferroelectric PbTiO3. Solid State Comm, 16, 103-4.CrossRefGoogle Scholar
Ito, E., and Matsui, Y. (1978) Synthesis and crystalchemical characterization of MgSiO3 perovskite. Earth Planet. Sci. Lett, 38, 443-50.CrossRefGoogle Scholar
Kittel, C. (1976) Introduction to solid state physics. John Wiley and Sons, New York.Google Scholar
Knittle, E. Jeanloz, R., and Smith, G.L. (1986) Thermal expansion of silicate perovskite and stratification of the Earth's mantle. Nature, 319, 214-15.CrossRefGoogle Scholar
Lieberman, R.C. Jones, L.E.A., and Ringwood, A.E. (1977) Elasticity of aluminate, titanate, stannate and germate compounds with the perovskite structure. Phys. Earth Planet. Inter, 14, 165-78.CrossRefGoogle Scholar
Liu, L. (1976) The high pressure phases of MgSiO3. Earth Planet. Sci. Lett., 31, 200.CrossRefGoogle Scholar
Mandarino, J.A. (1976) The Gladstone-Dale relationship— Part I: Derivation of new constants. Can. Mineral, 14, 498-502.Google Scholar
Mandarino, J.A. (1978) The Gladstone-Dale relationship—Part II: Trends among constants. Ibid. 16, 169-74.Google Scholar
Mandarino, J.A. (1979) The Gladstone-Dale relationship—Part III: Some general applications. Ibid. 17, 71-6.Google Scholar
Martin, G., and Hegenbarth, E. (1973) The influence of hydrostatic pressure on the ferroelectric phase transition of CdTiO3 ceramics. Phys. Stat. Sol.(a) 18, K151-2.CrossRefGoogle Scholar
Megaw, H.D. (1973) Crystal Structures: a working approach. Studies on physics and chemistry no. 10. W. B.Saunders Co., Philadelphia, London, Toronto..Google Scholar
Miyamoto, M., and Takeda, H. (1984) An attempt to simulate high pressure structures of Mg-silicates by an energy minimization method. Am. Mineral, 69, 711-18.Google Scholar
Muller, O., and Roy, R. (1974) The major ternary structural families. Springer, Berlin.CrossRefGoogle Scholar
Okai, B., and Yoshimoto, J. (1975) Pressure dependence of the structural phase transition temperature in SrTiO3 and KMnF3. J. Phys. Soc. Japan, 39, 162-5.CrossRefGoogle Scholar
O'Keeffe, M., and Bovin, J. (1979) Solid electrolyte behavior of NaMgF3: geophysical implications. Science, 206, 599-600.CrossRefGoogle Scholar
Hyde, B.G., and Bovin, J. (1979) Contribution to the crystal chemistry of orthorhombic perovskites: MgSiO3 and NaMgF3. Phys. Chem. Minerals, 4, 299-305.Google Scholar
Parker, S.C. (1983a). Prediction of mineral crystal structures. Solid State Ionics, 8, 179-86.CrossRefGoogle Scholar
Parker, S.C. (1983b) Ph.D. thesis, University of London. Catlow, C.R.A., and Cormack, A.N. (1984) Structure prediction of silicate minerals using energyminimization techniques. Acta Crystallogr, B40, 200-8.Google Scholar
Poirier, J.P., Peyronneau, J., Gesland, J.Y., and Brebac, G. (1983) Viscosity and conductivity of the lower mantle; an experimental study on a MgSiO3 perovskite analogue, KZnF3. Phys. Earth Planet. Inter, 32, 273-87.CrossRefGoogle Scholar
Prewitt, C.T. (1985) Crystal chemistry: past, present, and future. Am. Minera, 70, 443-54.Google Scholar
Price, G.D., and Parker, S.C. (1984) Computer simulation of the structural and physical properties of the olivine and spinel polymorphs of MgSiO3. Phys. Chem. Minerals, 10, 209-16.CrossRefGoogle Scholar
Price, G.D., and Parker, S.C. and Yeomans, J. (1984) The application of the ANNNI model to polytypic behaviour. Acta Crystallogr. B40, 448-54.CrossRefGoogle Scholar
Parker, S.C. and Yeomans, J. (1985) The energetics of polytypic structures: a computer simulation of magnesium silicate spinelloids. Ibid. B41, 231-9.Google Scholar
Samara, G.A. (1970) Pressure and temperature dependence of the dielectric properties and phase transitions of the antiferroelectric perovskites: PbZrO3 and PbHfO3. Phys. Review,Bl, 3777-86.CrossRefGoogle Scholar
Samara, G.A. (1971) Pressure and temperature dependence of the dielectric properties and phase transitions of the ferroelectric perovskites: PbTiO3 and BaTiO3. Ferroelectrics, 2, 277-89.CrossRefGoogle Scholar
Smith, J., Yeomans, J., and Heine, V. (1984) In Proceedings of NATO Advanced Studies Institute on modulated structure materials.(T. Tsakalakos, ed.). Dordrecht: Nijhoff, 95.Google Scholar
Swanson, D.K., and Prewitt, C.T. (1983) The crystal structure of K2SiVISi!,vO9. Am. Mineral, 68, 581-5.Google Scholar
Yagi, T., Mao, H., and Bell, P.M. (1978) Structure and crystal chemistry of perovskite-type MgSiO3. Phys. Chem. Minerals, 3, 97-110.CrossRefGoogle Scholar
Yagi, T., Mao, H., and Bell, P.M. (1982) Hydrostatic compression of perovskite-type MgSiO3, In Advances in Physical Geochemistry, 2 (S. K. Saxena, ed.). Springer-Verlag, New York, 317-27.CrossRefGoogle Scholar