2001
DOI: 10.1180/002646101550235
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Monte Carlo methods for the study of cation ordering in minerals

Abstract: 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… Show more

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Cited by 68 publications
(48 citation statements)
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“…[27] This review is concerned with developing models of the energetics of ordering, and using Monte Carlo (MC) methods to study the variation of equilibrium ordered states (both long-and shortrange) with temperature. These methods have been successfully applied to a wide range of minerals, as reviewed by Bosenick et al [28] and Warren et al, [29] and more recently to a range of examples within the family of 2:1 phyllosilicate minerals. The rationale behind using computer simulations to study cation ordering in phyllosilicates is that, due to their inhomogeneous structures, cation ordering can be strongly inhibited by kinetics.…”
mentioning
confidence: 99%
“…[27] This review is concerned with developing models of the energetics of ordering, and using Monte Carlo (MC) methods to study the variation of equilibrium ordered states (both long-and shortrange) with temperature. These methods have been successfully applied to a wide range of minerals, as reviewed by Bosenick et al [28] and Warren et al, [29] and more recently to a range of examples within the family of 2:1 phyllosilicate minerals. The rationale behind using computer simulations to study cation ordering in phyllosilicates is that, due to their inhomogeneous structures, cation ordering can be strongly inhibited by kinetics.…”
mentioning
confidence: 99%
“…The example is of simulations of cation ordering in a layer silicate such as muscovite, formula MgSi 3 AlO 8 (OH) [17]. The various steps in a complete study might be [18,19] 1. Obtain a trial structure from a crystallographic database.…”
Section: Project Integration and Interoperabilitymentioning
confidence: 99%
“…To measure the latter one needs to take into account a small entropic contribution, which can be done using the method of thermodynamic integration [11]. This requires many runs at different temperatures, starting with the model T = 0 K system up to the required temperature.…”
Section: mentioning
confidence: 99%