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Mineralogical Magazine; April 2001; v. 65; no. 2; p. 221-248
© 2001 Mineralogical Society of Great Britain and Ireland
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Monte Carlo methods for the study of cation ordering in minerals

M. C. Warren1,2, M. T. Dove1,*,{dagger}, E. R. Myers1,3, A. Bosenick1,4, E. J. Palin1, C. I. Sainz-Diaz5, B. S. Guiton1 and S. A. T. Redfern1

1 Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK
5 Estacion Experimental del Zaidin, CSIC, C/Profesor Albareda, 1, 18008-Granada, Spain

{dagger} Corresponding author

This paper reviews recent applications of Monte Carlo methods for the study of cation ordering in minerals. We describe the program Ossia99, designed for the simulation of complex ordering processes and for use on parallel computers. A number of applications for the study of long-range and short-range order are described, including the use of the Monte Carlo methods to compute quantities measured in an NMR experiment. The method of thermodynamic integration for the determination of the free energy is described in some detail, and several applications of the method to determine the thermodynamics of disordered systems are outlined.

KEYWORDS: Monte Carlo simulation, cation ordering, NMR, phase transitions, aluminosilicates




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