Density functional theory and Monte Carlo study of octahedral cation ordering of Al/Fe/Mg cations in dioctahedral 2:1 phyllosilicates
Abstract
The ordering of octahedral Al3+, Fe3+, and Mg2+ cations in dioctahedral 2:1 phyllosilicates was studied theoretically. Quantum mechanical calculations based on density functional theory (DFT) were performed for optimizing different cation distributions along the octahedral sheet. Three systems of two species (Al3+/Mg2+, Al3+/Fe3+, and Fe3+/Mg2+) were studied to obtain the cation exchange potentials Jn as first, second, third, and fourth nearest neighbors. Monte Carlo (MC) simulations based on the previously calculated cation exchange potentials Jn of these binary systems showed ordering phase transition in the distribution of the octahedral cations, with different ordering patterns. Ordered phases are depending on composition and on third and fourth neighbor range interactions. The effect of hydrostatic pressure can affect the cation ordering of the octahedral sheet. The two-species model was extended to a three-species ordering MC simulation model. In our case, we do not find perfect long-range ordering in the three-species systems. Instead we find some domains with different ordering patterns.
© 2015 by Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Metamorphic ultrahigh-pressure tourmaline: Structure, chemistry, and correlations to P-T conditions
- Slavikite—Revision of chemical composition and crystal structure
- Anisotropic elasticity of jarosite: A high-P synchrotron XRD study
- Tourmaline of the elbaite-schorl series from the Himalaya Mine, Mesa Grande, California: A detailed investigation
- Characterization of Al-Si ordering state in an alkali feldspar using atom location by channeling-enhanced microanalysis (ALCHEMI)
- The relative stability of stoichiometrically related natural and synthetic double salts
- Free energy of formation of zircon based on solubility measurements at high temperature and pressure
- Structure refinement of a synthetic knorringite, Mg3(Cr0.8Mg0.1Si0.1)2(SiO4)3
- A mineral tracer toward high-resolution dust provenance on the Chinese Loess Plateau: SEM, TEM, and sulfur isotopes of sulfate inclusions in biotite
- High-resolution TEM study of jimthompsonite, chesterite, and chain-width disorder in Archean ultramafic rocks from Isua, West Greenland
- Retrograde hydration sequence in disordered Mg amphiboles: A TEM investigation
- Can electron energy-loss spectroscopy (EELS) be used to quantify hydrogen in minerals from the O K edge?
- Texture analysis of a turbostratically disordered Ca-montmorillonite
- Packing systematics of the silica polymorphs: The role played by O-O nonbonded interactions in the compression of quartz
- Calorimetric study of the surface energy of forsterite
- Crystallographic texture of the magnetite-hematite transformation: Evidence for topotactic relationships in natural samples from Quadrilátero Ferrífero, Brazil
- Semi-ordered crystalline structure of the Santa Olalla vermiculite inferred from X-ray powder diffraction
- Stishovite single-crystal growth and application to silicon self-diffusion measurements
- Density of dry peridotite magma at high pressure using an X-ray absorption method
- The crystal-structure and vacancy distribution in 6C pyrrhotite
- Thermal modification of hematite-ilmenite intergrowths in the Ecstall pluton, British Columbia, Canada
- A new Al-rich hydroxylian pseudorutile from Kalimantan, Indonesia
- Lapeyreite, Cu3O[AsO3(OH)]2·0.75H2O, a new mineral: Its description and crystal structure
- High P-T phase relation of magnesian (Mg0.7Fe0.3) staurolite compositon in the system FeO-MgO-Al2O3-SiO2-H2O: Implications for prograde high-pressure history of ultrahigh-temperature metamorphic rocks
- Letter: Hibonite-(Fe), (Fe,Mg)Al12O19, a new alteration mineral from the Allende meteorite
- Letter: Ion irradiation of the TiO2 polymorphs and cassiterite
- Letter: Corundum + orthopyroxene ± spinel intergrowths in an ultrahigh-temperature Al-Mg granulite from the Southern Marginal Zone, Limpopo Belt, South Africa
- Letter: Fe3+ spin transition in CaFe2O4 at high pressure
- Density functional theory and Monte Carlo study of octahedral cation ordering of Al/Fe/Mg cations in dioctahedral 2:1 phyllosilicates
Articles in the same Issue
- Metamorphic ultrahigh-pressure tourmaline: Structure, chemistry, and correlations to P-T conditions
- Slavikite—Revision of chemical composition and crystal structure
- Anisotropic elasticity of jarosite: A high-P synchrotron XRD study
- Tourmaline of the elbaite-schorl series from the Himalaya Mine, Mesa Grande, California: A detailed investigation
- Characterization of Al-Si ordering state in an alkali feldspar using atom location by channeling-enhanced microanalysis (ALCHEMI)
- The relative stability of stoichiometrically related natural and synthetic double salts
- Free energy of formation of zircon based on solubility measurements at high temperature and pressure
- Structure refinement of a synthetic knorringite, Mg3(Cr0.8Mg0.1Si0.1)2(SiO4)3
- A mineral tracer toward high-resolution dust provenance on the Chinese Loess Plateau: SEM, TEM, and sulfur isotopes of sulfate inclusions in biotite
- High-resolution TEM study of jimthompsonite, chesterite, and chain-width disorder in Archean ultramafic rocks from Isua, West Greenland
- Retrograde hydration sequence in disordered Mg amphiboles: A TEM investigation
- Can electron energy-loss spectroscopy (EELS) be used to quantify hydrogen in minerals from the O K edge?
- Texture analysis of a turbostratically disordered Ca-montmorillonite
- Packing systematics of the silica polymorphs: The role played by O-O nonbonded interactions in the compression of quartz
- Calorimetric study of the surface energy of forsterite
- Crystallographic texture of the magnetite-hematite transformation: Evidence for topotactic relationships in natural samples from Quadrilátero Ferrífero, Brazil
- Semi-ordered crystalline structure of the Santa Olalla vermiculite inferred from X-ray powder diffraction
- Stishovite single-crystal growth and application to silicon self-diffusion measurements
- Density of dry peridotite magma at high pressure using an X-ray absorption method
- The crystal-structure and vacancy distribution in 6C pyrrhotite
- Thermal modification of hematite-ilmenite intergrowths in the Ecstall pluton, British Columbia, Canada
- A new Al-rich hydroxylian pseudorutile from Kalimantan, Indonesia
- Lapeyreite, Cu3O[AsO3(OH)]2·0.75H2O, a new mineral: Its description and crystal structure
- High P-T phase relation of magnesian (Mg0.7Fe0.3) staurolite compositon in the system FeO-MgO-Al2O3-SiO2-H2O: Implications for prograde high-pressure history of ultrahigh-temperature metamorphic rocks
- Letter: Hibonite-(Fe), (Fe,Mg)Al12O19, a new alteration mineral from the Allende meteorite
- Letter: Ion irradiation of the TiO2 polymorphs and cassiterite
- Letter: Corundum + orthopyroxene ± spinel intergrowths in an ultrahigh-temperature Al-Mg granulite from the Southern Marginal Zone, Limpopo Belt, South Africa
- Letter: Fe3+ spin transition in CaFe2O4 at high pressure
- Density functional theory and Monte Carlo study of octahedral cation ordering of Al/Fe/Mg cations in dioctahedral 2:1 phyllosilicates