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Bulk modulus of Fe-rich olivines corrected for non-hydrostaticity
Authors:Frédéric Béjina  Misha Bystricky  Nicolas Tercé  Matthew L Whitaker  Haiyan Chen
Institution:1. IRAP, Université de Toulouse, CNRS, CNES, UPS, 14, avenue Édouard-Belin, 31400 Toulouse, France;2. Mineral Physics Institute, Stony Brook University, Stony Brook, NY 11794-2100, USA;3. Department of Geosciences, Stony Brook University, Stony Brook, NY 11794-2100, USA;4. National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY 11973, USA
Abstract:In situ X-ray diffraction was used to measure the isothermal bulk modulus at room conditions (KT0) of synthetic olivines with different iron contents. The chemical formulae of the olivine samples were (Fex,Mg1?x)2SiO4 with x = 0.45; 0.64; 0.82; 1, with 1% standard deviation (referenced as Fa45, Fa64, Fa82 and Fa100, respectively). All experiments were performed in the multi-anvil apparatus installed at NSLS beamline X17B2, to pressures up to about 7 GPa. Unit-cell volumes under hydrostatic conditions and differential stresses present in the samples were calculated using the method developed by Singh et al. (1998), and pressures measured using NaCl as a standard were then corrected for these stresses. Using a second-order Birch–Murnaghan equation of state, we obtained the isothermal bulk modulus of each composition: KT0Fa45=131.4±2.6 GPa, KT0Fa64=132.1±3.1 GPa, KT0Fa82=136.3±1.7 GPa and KT0Fa100=134.8±1.4 GPa. These values combined with data available in the literature show that the KT0 of Fe-rich olivines increases very slowly with the Fe content, but possibly not in a simple linear trend.
Keywords:Corresponding author    Olivine  Equation of state  High pressure  Differential stress  Bulk modulus
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