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A model for polysomatism

Published online by Cambridge University Press:  05 July 2018

Geoffrey D. Price  and
Julia Yeomans
Geoffrey D. Price
Affiliation:
Department of Geology, University College London, Gower Street, London WC1E 6BT
Julia Yeomans
Affiliation:
Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP
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Abstract

We show that the structures and phases developed in a variety of polysomatic series, including the biopyroboles, are similar to those predicted by a simple spin model—the Axial Next-Nearest-Neighbour Ising (ANNNI) model in a magnetic field. We argue that the different polysomatic structures can be considered as thermodynamically stable phases, composed of ordered sequences of chemically distinct structural modules. We suggest that the key factors which determine the stability of polysomatic phases are (a) the chemical potential, which controls the proportion of the different structural modules, and (b) the competing interactions between first and second neighbour modules within the structures.

Keywords

polysomatismbiopyribolesANNNI model

Information

Type
Crystal Structures
Information
Mineralogical Magazine , Volume 50 , Issue 355 , March 1986 , pp. 149 - 156
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1986

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References

Angel, R.A., Price, G.D., and Yeomans, J. (1985) Ada Crystallogr. B41, 310-19.CrossRefGoogle Scholar
de Fontaine, D, and Kulik, J. (1985) Ada Metall. 33, 145-65.CrossRefGoogle Scholar
Donnay, G., and Donnay, J.D.H. (1953) Am. Mineral. 38, 932-63.Google Scholar
Elliott, R.J. (1961) Phys. Rev. 124, 346-53.CrossRefGoogle Scholar
Fisher, M.E., and Selke, W. (1981) Phil. Trans. R. Soc. London. 302, 1-44.Google Scholar
Ito, T. (1950) X-ray studies on polymorphism. Maruzen, Tokyo.Google Scholar
Lima-de-Faria, J., and Figueiredo, M.O. (1976) J. Solid State Chem. 16, 7-20.CrossRefGoogle Scholar
Lima-de-Faria, J., and Figueiredo, M.O. (1978) Garcia de Orta, Ser. Geol. 2, 69–76.Google Scholar
Mellini, M., Ferraris, G., and Compagnoni, R. (1985) Terra cognita. 5, 218.Google Scholar
Pokrovsky, V.L., and Uimin, G.V. (1982) J. Phys.C42, Lll.Google Scholar
Price, G.D., and Yeomans, J. (1984) Ada Crystallogr. B40, 448-54.CrossRefGoogle Scholar
Smith, J., and Yeomans, J. (1983) J. Phys. C16, 5305-20.Google Scholar
Smith, J., and Yeomans, J. and Heine, V. (1984) In Modulated Strudure Materials (T. Tsakalakos, ed.) Dordrecht, Neijhoff.Google Scholar
Thompson, J.B. (1978) Am. Mineral. 63, 239-49.Google Scholar
Thompson, J.B. (1981a) In Structure and Bonding in Crystals (M. O'Keeffe and A. Navrotsky, eds.) Academic Press, New York.Google Scholar
Thompson, J.B. (1981b) In Reviews in Mineralogy, 9a (D. R. Veblen, ed.) Mineralogical Society of America.Google Scholar
Van Landuyt, J., and Amelinckx, S. (1975) Am. Mineral. 60, 351-8.Google Scholar
Van Landuyt, J., and Amelinckx, S., Kohn, J.A., and Eckart, W. (1973) Mat. Res. Bull. 8, 339-48.CrossRefGoogle Scholar
Van Landuyt, J., and Amelinckx, S., Kohn, J.A., and Eckart, W. (1974) J. Solid State Chem.9, 103-19.Google Scholar
Veblen, D.R., and Buseck, P.R. (1979) Am. Mineral. 64, 687-700.Google Scholar