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   <subfield code="a">Thermodynamics of mixing in diopside-jadeite, CaMgSi2O6-NaAlSi2O6, solid solution from static lattice energy calculations</subfield>
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   <subfield code="a">Static lattice energy calculations (SLEC), based on empirical interatomic potentials, have been performed for a set of 800 different structures in a 2×2×4 supercell of C2/c diopside with compositions between diopside and jadeite, and with different states of order of the exchangeable Na/Ca and Mg/Al cations. Excess static energies of these structures have been cluster expanded in a basis set of 37 pair-interaction parameters. These parameters have been used to constrain Monte Carlo simulations of temperature-dependent properties in the range of 273-2,023K and to calculate a temperature-composition phase diagram. The simulations predict the order-disorder transition in omphacite at 1,150±20°C in good agreement with the experimental data of Carpenter (Mineral Petrol 78:433-440, 1981). The stronger ordering of Mg/Al within the M1 site than of Ca/Na in the M2 site is attributed to the shorter M1-M1 nearest-neighbor distance, and, consequently, the stronger ordering force. The comparison of the simulated relationship between the order parameters corresponding to M1 and M2 sites with the X-ray refinement data on natural omphacites (Boffa Ballaran et al. in Am Mineral 83:419-433, 1998) suggests that the cation ordering becomes kinetically ineffective at about 600°C.</subfield>
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