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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
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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