Abstract
The lattice parameter of magnesiowüstite (Mg0.6Fe0.4)O has been measured up to a pressure of 30 GPa and a temperature of 800 K, using an external heated diamond anvil cell and diffraction using X-rays from a synchrotron source. The experiments were conducted under quasi-hydrostatic condition, using neon as a pressure transmitting medium. The experimental P-V-T data were fitted to a thermal-pressure model with the isothermal bulk modulus at room temperature K T0 = 157 GPa, (∇K TO /∇P) T =4, (∇K T /∇T) P =-2.7(3) × 10-2 GPa/K, (∇K T /∇T) v =-0.2(2) × 10-2 GPa/K and the Anderson-Grüneisen parameter δ T =4.3(5) above the Debye temperature. The data were also fitted to the Mie-Grüneisen thermal equation of state. The least-squares fit yields the Debye temperature θ DO = 500(20) K, the Grüneisen parameter γ 0=1.50(5), and the volume dependence q=1.1(5). Both thermal-pressure models give consistent P-V-T relations for magnesiowüstite to 140 GPa and 4000 K. The P-V-T relations for magnesiowüstite were also calculate by using a modified high-temperature Birch-Murnaghan equation of state with a δ t of 4.3. The results are consistent with those calculated by using the thermal-pressure model and the Mie-Grüneisen relation to 140 GPa and 3000 K.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anderson OL (1967) Equation for thermal expansivity in planetary interiors. J Geophys Res 72:3661–3668
Anderson OL, Yamamoto S (1987) Interrelationship of thermodynamic properties obtained by the piston-cylinder high pressure experiments and RPR high temperature experiments for NaCl. In: Manghnani MH, Syono Y (eds) High Pressure Research in Mineral Physics. Center for Academic Publications, Tokyo, pp 289–298
Anderson OL, Zou K (1989) Formulation of the thermodynamic functions for mantle minerals: MgO as an example. Phys Chem Minerals 16:642–648
Anderson OL, Isaak DG, Yamamoto S (1989) Anharmonicity and the equation of state for gold. J Appl Phys 65:1534–1543
Bell PM, Mao H-K (1981) Degree of hydrostaticity in He, Ne, and Ar pressure-transmitting media. Carnegie Inst Washington Yearb 80:404–406
Birch F (1978) Finite strain isotherm and velocities for single-crystal and polycrystalline NaCl at high pressures and 300 K. J Geophys Res 83:1257–1268
Boehler R, van Bargen N, Chopelas A (1989) Melting, thermal expansion and phase transitions of iron to very high pressures. Proceedings: Ironworkers Meeting
Chopelas A, Bohler R (1989) Thermal expansion measurements at very high pressure, systematics, and a case for a chemically homogeneous mantle. Geophys Res Lett 16:1347–1350
Fei Y, Mao H-K, Mysen BO (1991a) Experimental determination of element partitioning and calculation of phase relations in the MgO -FeO -SiO2 system at high pressure and high temperature. J Geophys Res 96:2157–2169
Fei Y, Mao H-K, Shu J, Parthasarathy G, Bassett WA, Ko J (1991 b) Simultaneous high P-T X-ray diffraction study of β -(Mg, Fe)2SiO to 26 GPa and 900 K. J Geophys Res (in press)
Hemley RJ, Jackson MD, Gordon RG (1985) First-principles theory for the equations of state of minerals at high pressures and temperatures: Application to MgO. Geophys Res Lett 12:247–250
Isaak DG, Anderson OL, Goto T (1989) Measured elastic moduli of single-crystal MgO up to 1800 K. Phys Chem Minerals 16:704–713
Isaak DG, Cohen RE, Mehl MJ (1990) Calculated elastic and thermal properties of MgO at high pressures and temperatures. J Geophys Res 95:7055–7067
Jackson I, Niesler H (1982) The elasticity of periclase to 3 GPa and some geophysical implications. In: Akimoto S, Manghnani MH (eds) High-Pressure Research in Geophysics. Center for Academic Publications, Tokyo, pp 93–113
Jephcoat AP, Mao H-K, Bell PM (1987) Operation of the megabar diamond-anvil cell. In: Ulmer GC, Barnes HL (eds) Hydrothermal Experimental Techniques. Wiley, New York, pp 469–506
Mao H-K, Bell PM (1979) Equation of state of MgO and ɛ-Fe under static pressure conditions. J Geophys Res 84:4533–4536
Mao H-K, Xu J, Bell PM (1986) Calibration of the ruby pressure gauge to 800 kbar under quasihydrostatic conditions. J Geophys Res 91:4673–4676
Mao H-K, Hemley RJ, Fei Y, Shu JF, Chen LC, Jephcoat AP, Wu Y, Bassett WA (1991) Effect of pressure, temperature, and composition on lattice parameters and density of (Fe, Mg)SiO3-perovskites to 30 GPa. J Geophys Res 96:8069–8079
Richet P, Mao H-K, Bell PM (1989) Bulk moduli of magnesiowüstite from static compression measurements. J Geophys Res 94:3037–3045
Rosenhauer M, Mao H-K, Woermann E (1976) Compressibility of magnesiowüstite (Fe0.4Mg0.6)O to 264 kbar. Carnegie Inst Washington Yearb 75:513–515
Sumino Y, Anderson OL, Suzuki I (1983) Temperature coefficients of elastic constants of single crystal MgO between 80 and 1300 K. Phys Chem Minerals 9:38–47
Suzuki I (1975) Thermal expansion of periclase and olivine and their anharmonic properties. J Phys Earth 23:145–159
Wolf GH, Bukowinski MST (1988) Variational stabilization of the ionic charge densities in the electron-gas theory of crystals: Applications to MgO and CaO. Phys Chem Minerals 15:209–220
Yeganeh-Haeri A, Weidner DJ, Liebermann RC (1989) High temperature Brillouin spectroscopy (abstract). Eos Trans AGU 70:474
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fei, Y., Mao, Hk., Shu, J. et al. P-V-T equation of state of magnesiowüstite (Mg0.6Fe0.4)O. Phys Chem Minerals 18, 416–422 (1992). https://doi.org/10.1007/BF00200964
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00200964