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The lattice dynamics of forsterite

Published online by Cambridge University Press:  05 July 2018

Geoffrey D. Price ,
Stephen C. Parker  and
Maurice Leslie
Geoffrey D. Price
Affiliation:
Department of Geological Sciences, University College London, Gower St, London WC1E 6BT
Stephen C. Parker
Affiliation:
School of Chemistry, University of Bath, Bath BA2 7AY
Maurice Leslie
Affiliation:
SERC Daresbury Laboratory, Daresbury, Warrington WA4 4AD
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Abstract

We use an approach based upon the atomistic or Born model of solids, in which potential functions represent the interactions between atoms in a structure, to calculate the infrared and Raman vibrational frequencies of forsterite. We investigate a variety of interatomic potentials, and find that although all the potentials used reproduce the structural and elastic behaviour of forsterite, only one potential (THB1) accurately predicts its lattice dynamics. This potential includes ‘bond-bending’ terms, that model the directionality of the Si-O bond, which we suggest plays a major role in determining the structural and physical properties of silicates. The potential was derived empirically from the structural and physical data of simple oxides, and its ability to model the lattice dynamics of forsterite is a significant advance over previous, force-constant models, which have been simply derived by fitting to the spectroscopic data that they aim to model. The success that we have had in predicting the lattice dynamics of forsterite indicates that the potential provides the previously elusive yet fundamental, quantitative link between the microscopic or atomistic behaviour of a mineral and its macroscopic or bulk thermodynamic properties.

Keywords

atomistic modelBorn modellattice dynamicsforsterite
Type
Mineralogy
Information
Mineralogical Magazine , Volume 51 , Issue 359 , March 1987 , pp. 157 - 170
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1987

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References

Born, M., and Huang, K. (1954) Dynamical theory of crystal lattices. Clarendon Press, Oxford.Google Scholar
Burnham, C.W. (1985) In Microscopic to Macroscopic. Reviews in Mineralogy, 14 (Kieffer, S.W., and Navrotsky, A., eds.) Mineral Soc. Am. Washington.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.CrossRefGoogle Scholar
Catlow, C.R. A. (1977) Proc. R. Soc. London, A353, 533-61.Google Scholar
Catlow, C.R. A. and Mackrodt, W.C. (1982) In Computer simulations of solids. Lecture notes in physics, 166 (Catlow, C.R. A., and Mackrodt, W.A., eds.) Springer-Verlag, Berlin.CrossRefGoogle Scholar
Doherty, M., Price, G.D., Sanders, M.J., and Parker, S.C. (1986) Mater. Set Forum,, 7, 163-76.Google Scholar
Cochran, W. (1973) The dynamics of atoms in crystals. Edward Arnold, London.Google Scholar
Devarajan, V., and Funck, E. (1974) J. Chem. Phys., 62, 3406-11.CrossRefGoogle Scholar
Iishi, K. (1978) Am. Mineral., 63, 1198-208.Google Scholar
Kieffer, S.W. (1979a) Rev. Geophys. Space Phys., 17, 1-19.CrossRefGoogle Scholar
Kieffer, S.W. (1979b) Ibid. 17, 20-34.CrossRefGoogle Scholar
Kieffer, S.W. (1979c) Ibid. 17, 35-58.CrossRefGoogle Scholar
Kieffer, S.W. (1985) In Microscopic to Macroscopic. Reviews in Mineralogy, 14 (Kieffer, S.W., and Navrotsky, A., eds.) Mineral. Soc. Am. Washington.CrossRefGoogle Scholar
Kieffer, S.W. and Navrotsky, A. (1985) Microscopic to Macroscopic. Reviews in Mineralogy, 14. Mineralogical Soc. America, Washington.CrossRefGoogle Scholar
Lazarev, A.N. (1974) In The infrared spectra of Minerals (Farmer, V. C. ed.) Mineralogical Society, London.Google Scholar
Lewis, G.V. (1985) Physica, B131, 114-18.Google Scholar
Lewis, G.V. Matsui, M., and Busing, W.R. (1984) Am. Mineral., 69, 1090-5.Google Scholar
and Matsumoto, T. (1985) Acta Crystallogr, B41, 377-82.Google Scholar
McMillan, P. (1985) In Microscopic to Macroscopic. Reviews in Mineralogy, 14 (Kieffer, S.W., and Navrotsky, A., eds.) Mineral. Soc. Am. Washington.Google Scholar
Paques-Ledent, M.T., and Tarte, P. (1973) Spectrochim. Acta, A29, 1007-16.CrossRefGoogle Scholar
Piriou, B., and McMillan, P. (1983) Am. Mineral., 68, 426-43.Google Scholar
Price, G.D., and Parker, S.C. (1984) Phys. Chem. Minerals,, 10, 209-16.CrossRefGoogle Scholar
Price, G.D., and Parker, S.C. and Yeomans, J. (1985) Acta Crystallogr, B41, 231-9.CrossRefGoogle Scholar
Sanders, M.J., Leslie, M, and Catlow, C.R. A. (1984) J. Chem. Soc, Chem. Comm. 1271-3.CrossRefGoogle Scholar
Servoin, J.L., and Piriou, B. (1973) Phys. Status Solidi, (b)55, 677-86.CrossRefGoogle Scholar
Ziman, J.M. (1964) Principles of the theory of solids. C.U.P., Cambridge.Google Scholar