Elasticity of phase-X at high pressure

Physics

Scientific paper

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Mineral Physics: Elasticity And Anelasticity, Mineral Physics: Equations Of State, Mineral Physics: High-Pressure Behavior, Mineralogy And Petrology: Subduction Zone Processes (1031, 3060, 8170, 8413)

Scientific paper

Using a plane-wave pseudopotential method, we calculate the equation of state and elasticity of phase-X [(K,Na)2Mg2Si2O7] up to 30 GPa, which encompasses its experimentally observed stability field. We find that the pressure-volume results for anhydrous phase-X are well represented by a third order Birch-Murnaghan formulation, with K 0 = 132 GPa, K′0 = 4.4 and V 0 = 284.6 Å3 for the potassium (K) end member and K 0 = 128 GPa, K′0 = 4.0 and V 0 = 265.9 Å3 for the sodium (Na) end member. The full elastic constant tensor reveals significantly larger stiffness along the [001] direction than in the (100) plane. We attribute such stiffness to the 1800 angle of Si-O-Si units and their orientation parallel to the [001] direction. Assuming ideal behavior between Na and K phase-X, the shear modulus softens with sodium content as G = [84 - 0.14 × Na(wt%)] GPa.

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