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Computational investigation of Al/Si and Al/Mg ordering in aluminous tremolite amphiboles

Published online by Cambridge University Press:  05 July 2018

E. J. Palin ,
M. T. Dove ,
M. D. Welch  and
S. A. T. Redfern
E. J. Palin*
Affiliation:
Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK Department of Mineralogy, Natural History Museum, Cromwell Road, London SW7 5BD, UK
M. T. Dove
Affiliation:
Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK
M. D. Welch
Affiliation:
Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK Department of Mineralogy, Natural History Museum, Cromwell Road, London SW7 5BD, UK
S. A. T. Redfern
Affiliation:
Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK
*
*E-mail: [email protected]
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Abstract

The [4]Al/Si and [6]Al/Mg order-disorder behaviour of minerals in the tremolite-tschermakite solid solution (namely, end-member tschermakite and the 50:50 composition, magnesiohornblende) has been investigated by Monte Carlo simulation, using a model Hamiltonian in which atomic interaction parameters Ji were derived from empirical lattice energy calculations, and chemical potential terms μj (to express the preferences of cations for particular crystallographic sites) were derived from ab initio methods. The simulations performed were increasingly complex. Firstly, ordering in one tetrahedral double chain with Al:Si = 1:3 (tschermakite) was simulated. Although the low-temperature cation distribution in this system was ordered, there was no phase transition (due to the quasi-one-dimensional nature of the system). Next, interactions between tetrahedral Al:Si = 1:3 double chains were included, and a phase transition was observed, with the cation distribution in one double chain lining up with respect to that in the next. Finally, interactions between tetrahedral and octahedral sites were incorporated, to model the whole unit cell, and compositions corresponding to tschermakite and magnesiohornblende were investigated. The whole-cell simulation results compare favourably with experimental conclusions for magnesiohornblende, in that Al at T1 is preferred over Al at T2, and Al at M2 is favoured over that at M1 and M3, but the significant amount of Al at M1 is at odds with experimental observation.

Keywords

cation orderingtremolite-tschermakitemagnesiohornblendeamphibolecomputer simulation
Type
Research Article
Information
Mineralogical Magazine , Volume 69 , Issue 1 , February 2005 , pp. 1 - 20
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2005

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Footnotes

†

Present address: Davy-Faraday Research Laboratory, the Royal Institution of Great Britain, 21 Albemarle Street, London W1S 4BS, UK

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