Pressure-Volume-Temperature Behavior of g-Fe2SiO4 (Spinel) Based on Static Compression Measurements at 400°C
Thirteen energy-dispersive x-ray diffraction spectra for γ-Fe2SiO4 (spinel) collected in situ at 400° C and pressures to 24 GPa constitute the basis for an elevated-temperature static compression isotherm for this important high-pressure phase. A Murnaghan regression of these molar volume measurements yields 177.3 (±17.4) GPa and 5.4(±2.5) for the 400° C, room pressure values of the isothermal bulk modulus (K P 0) and its first pressure derivative (K′ P 0), respectively. When compared to the room-Tdeterminations of K P 0 available in the literature, our 400° C K P 0 yields -4.1 (±6.2)×10-2 GPa/degree for the average value of (∂K/∂T) P 0 over the temperature interval 25° C
A five-parameter V(P, T) equation for γ-Fe2SiO4 based on simultaneous regression of our data combined with the elevated P-Tdata of Yagi et al. (1987) and the extrapolated thermal expansion values from Suzuki et al. (1979) yields isochores which have very little curvature [(∂2 T/∂P 2) v ≅0], in marked contrast to the isochores for fayalite (Plymate and Stout 1990) which exhibit pronounced negative curvature [(∂T/∂P 2) v <0]. Along the fayalite/γ-Fe2SiO4 reaction boundary ΔVRvaries from a minimum of approximately 8.3% at approximately 450° C to approximately 8.9% at 1200° C. Extrapolation of the fayalite and γ-Fe2SiO4 V(P, T) relationships to the temperature and pressure of the 400 km discontinuity suggests a ΔV R of approximately 8.4% at that depth, approximately 10% less than the 9.3% ΔV R at ambient conditions.
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Plymate, T. G., and J. H. Stout. "Pressure-volume-temperature behavior of γ-Fe 2 SiO 4 (spinel) based on static compression measurements at 400° C." Physics and Chemistry of Minerals 21, no. 6 (1994): 413-420.
Physics and Chemistry of Minerals