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A computer simulation study of point defects in diopside and the self-diffusion of Mg and Ca by a vacancy mechanism

Published online by Cambridge University Press:  05 July 2018

Feridoon Azough
Affiliation:
Materials Science Centre, University of Manchester/UMIST, Grosvenor Street, Manchester M1 7HS, UK
Robert Freer
Affiliation:
Materials Science Centre, University of Manchester/UMIST, Grosvenor Street, Manchester M1 7HS, UK
Kate Wright
Affiliation:
Department of Earth Sciences, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Robert Jackson
Affiliation:
Department of Chemistry, University of Keele, Keele, Staffordshire, ST5 5BG, UK

Abstract

Computer simulation techniques have been used to investigate defect formation and the diffusion of Ca and Mg in diopside. It was found that isolated, non-interacting CaO and MgO Schottky defects had the lowest formation energies (3.66 and 3.97 eV respectively); oxygen Frenkel defects are the most favourable oxygen defects (formation energies 3.93 eV). Magnesium and calcium self-diffusion in the c-direction of diopside is easiest by a vacancy mechanism involving either direct jumps along the c-direction, or double jumps in the b-c plane. In the extrinsic regime, diffusion activation energies for Mg are predicted to be 9.82 eV (direct route) and 1.97 eV (double jump route); for Ca diffusion, activation energies are predicted to be 6.62 eV (direct route) and 5.63 eV (double jump route). If additional vacancies (oxygen or magnesium) are present in the vicinity of the diffusion path, Ca migration energies fall to 1.97–2.59 eV. At elevated temperatures in the intrinsic regime, diffusion activation energies of ⩾ 5.95 eV are predicted for Mg self-diffusion and 9.29–10.28 eV for Ca self-diffusion. The values for Ca diffusion are comparable with published experimental data. It is inferred that a divacancy mechanism may operate in diopside crystals.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1998

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References

Brady, J.B. and McCallister, R.H. (1983) Diffusion data for clinopyroxenes from homogenisation and self diffusion experiments. Amer. Mineral., 68, 95105.Google Scholar
Buseck, P.R., Nord, G.L. and Veblen, D.R. (1980) Subsolidus phenomena in pyroxenes. In Reviews in Mineralogy, 7 (Mineral. Soc. America), 117211.Google Scholar
Catlow, C.R.A. (1986) Computer simulation studies of transport in solids. Ann. Rev. Mat. Sci., 16, 517–48.CrossRefGoogle Scholar
Catlow, C.R.A. and Price, G.D. (1990) Computer modelling of solid state inorganic materials. Nature, 347, 243–8.CrossRefGoogle Scholar
Dick, B.G. and Overhauser, A.W. (1958) Theory of the dielectric constants of alkali halide crystals. Phys. Rev., 112, 90.CrossRefGoogle Scholar
Dimanov, A. (1995) Thesis, University of Paris-Sud, Orsay, pp. 220.Google Scholar
Dimanov, A. and Ingrin, J. (1995) Premelting and high temperature diffusion of calcium in synthetic diopside: an increase in cation mobility. Phys. Chem. Mineral., 22, 437–42.CrossRefGoogle Scholar
Essene, E.J. (1989) The current status of thermobarometry in metamorphic rocks. In Evolution of Metamorphic Belts, (Daly, J.S. et al., eds.) (Geol. Soc. Lond. Spec. Publication, 43, pp. 144.Google Scholar
Freer, R., Carpenter, M.A., Long, J.V.P. and Reed, S.J.B., (1982) ‘Null result’ diffusion experiments with diopside: implication for pyroxene equilbria. Earth Planet. Sci. Lett., 58, 285–92.CrossRefGoogle Scholar
Leslie, M. (1981) SERC Daresbury Laboratory ReportDC/SCI-TM31T.Google Scholar
Leslie, M. (1989) Calculation of the energies of point defect in quartz. J. Chem. Soc., Faraday Trans., 85, 404–13CrossRefGoogle Scholar
Lewis, G.V. and Catlow, C.R.A. (1985) Potential models for ionic solids. J. Phys. C. Solid State, 18, 1147–61.CrossRefGoogle Scholar
Lewis, G.V., Catlow, C.R.A. and Cormack, A.N. (1985) Defect structure and migration in Fe3O4 . J. Phys. Chem. Solids, 46, 1227–33.CrossRefGoogle Scholar
Lidiard, A.B. (1989) The mott-littleton method: An introductory survey. J. Chem. Soc. Faraday Trans., 85, 341–9.CrossRefGoogle Scholar
Mott, N. and Littleton, M.J. (1938) Conduction in polar crystals I: Electrolytic conduction in solid salts. Trans. Faraday Soc., 34, 485.CrossRefGoogle Scholar
Patel, A., Price, G.D. and Mendelssohn, M, (1991) A computer simulation approach to modelling the structure, thermodynamics and oxygen isotope equilibria of silicates. Phys. Chem. Mineral., 17, 690–9.CrossRefGoogle Scholar
Pattison, D.R.M., and Tracy, R.J. (1991) Phase equilibria and thermobarometry of metapelites, in “Contact Metamorphism”. Reviews in Mineralogy, 26, (Mineral. Soc. Amer.) 105216.Google Scholar
Price, G.D., Parker, S.C. and Leslie, M. (1987) The lattice dynamics and thermodynamics of the Mg2 SiO4 polymorphs. Phys. Chem. Mineral., 15, 181–90.CrossRefGoogle Scholar
Purton, J. and Catlow, C.R.A. (1990) computer simulation of feldspar structures. Amer. Mineral., 75, 1268–73.Google Scholar
Sanders, M.J., Leslie, M.J. and Catlow, C.R.A., (1984) Interatamic potentials for SiO2 . J. Chem. Soc., Chem. Commun., 1271–4.Google Scholar
Sautter, V., Jaoul, O. and Abel, F. (1988) Aluminium diffusion in diopside using the Al (ρ, γ) Si muclear reaction: Preliminary results. Earth Planet. Sci. Lett., 89, 109–14.CrossRefGoogle Scholar
Sneeringer, M., Hart, S.R. and Shimizu, N. (1984) Strontium and samarium diffusion in diopside. Geochim. Cosmochim. Acta, 48, 1589–608.CrossRefGoogle Scholar
Wright, K. and Price, G.D. (1993) Computer simulation of defects and diffusion in perovskites. J. Geophys.Res., 98, 22245–54.CrossRefGoogle Scholar
Wright, K. and Catlow, C.R.A. (1994), A computer simulation study of (OH) defects in olivine. Phys. Chem. Mineral., 20, 500–4.Google Scholar
Wright, K., Freer, R. and Catlow, C.R.A. (1995) Oxygen diffusion in grassular and some geological implications. Amer. Mineral., 80, 1020–5.CrossRefGoogle Scholar