Computation for Equation of States of (Mg_0.92, Fe_0.08)SiO₃ Perovskite Based on Mie-Grüneisen-Debye Model

Abstract:

In this paper, the thermal equation of state (EOS) of (Mg_0.92, Fe_0.08)SiO₃ is computed by Birch-Murnaghan and Mie-Grüneisen-Debye equations and the related parameters are also analyzed. The value of and has little effect on EOS of (Mg_0.92, Fe_0.08)SiO₃ perovskite. The effect of EOS of (Mg_0.92, Fe_0.08)SiO₃ perovskite is mainly from the temperature under high pressure. The temperature is higher; the deviation of EOS relative to the PREM model is bigger. The thermal EOS complies with PREM model at T=2000K. The thermal pressure of (Mg_0.92, Fe_0.08)SiO₃ perovskite a constant only related to temperature at the lower mantle conditions. At the same time, the EOS of (Mg_0.92, Fe_0.08)SiO₃ perovskite is insensitive to the data of and at T=2000K, but when and the thermal EOS is more agreement with PREM model. That is to say, when the value of the and is in the range of 253~273 GPa and 3.69~4.23, (Mg_0.92, Fe_0.08)SiO₃ is the perovskite phase, and (Mg_0.92, Fe_0.08)SiO₃ perovskite structure remains stable at the mantle conditions.

• Periodical: Advanced Materials Research (Volume 1046)
• Pages: 76-79
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1046.76
• Online since: October 2014
• Authors: Xiu Fang Chen
• Keywords: Perovskite, PREM Model, Thermal Equation of State

References

[1] Knittle, E., and R. Teanloz, Synthesis and equation of state of (Mg, Fe)SiO3 Perovskite to over 100GPa, science, 235, 668-670, (1987).

DOI: 10.1126/science.235.4789.668

[2] Morishima, H., E. ohtani, T. kato, O. shimomura, and T. kikegawa, Thermal expansion of MgSiO3 perovskite at 20. 5 GPa, Geophys, Res, lett. 12, 899-902, (1994).

DOI: 10.1029/94gl00844

[3] Mao, H. K., R. J. Hemley, Y. Fei, etal, Effect of pressure, temperature, and Composition on lattice Parameters and density of (Mg, Fe)SiO3 perovskites to 30 GPa, J. Geophys. Res., 96, 8069-8079, (1991).

DOI: 10.1029/91jb00176

[4] Funamori, N., Yagi,T. High pressure and high temperature in situ X-ray observation of MgSiO3 perovskite under lower mantle Conditions, Geophys, Res. lett. 20, 387~390, (1993).

DOI: 10.1029/92gl02960

[5] Wang, Y., D. J. weidner, R.C. Liebermann, X. Liu, J. Ko, M, T. Vaughan.Y. zhao. A. Yeganeh-Haeri, and R. E. G. Pacalo, Phase transition and thermal expansion of MgSiO3 Perovskite, science, 251; 410-413, (1991).

DOI: 10.1126/science.251.4992.410

[6] S. V. Singgeikin J. Zhang, J. D. Bass, Elasticity of single crystal and polycrystalline MgSiO3 perovskite by Brillouin spectroscopy, Geophys, Res. lett., vol. 31. L06620. doi: 10. 1029/ 2004GL019559, (2004).

DOI: 10.1029/2004gl019559

[7] Vinet, P., J. Ferrante, J. H. Rose, and J. R. Smith, Compressibility of solid, J. Geophys. Res., 92, 9319-9325, (1987).

[8] I. Jackson and S. M. Rigden, Analysis of P-V-T data: Constraints on the thermoelastic properties of high-pressure minerals, Phys, Earth. Planet lnter., 96, 85-112, (1996).

DOI: 10.1016/0031-9201(96)03143-3

[9] Fiquet, G., A. Dewaele, D. Andrault, M. Kunz, and T. L. Bihan, Thermoelastic properties and crystal structure of MgSiO3 Perovskite at lower mantle pressure and temperature Conditions, Geophys: Res, Lett., 27, 21-24, (2000).

DOI: 10.1029/1999gl008397

[10] Frederic.C. Marton, Joel Ita, and Ronald E. Cohen, Pressure-volume-temperature equation of state of MgSiO3 perovskite from molecular dynamics and constraints on lower mamtle composition, J. Geophys. Res. 106: 8615-8627, (2001).

DOI: 10.1029/2000jb900457

[11] Wang, Y., Weidner, D.T., Liebermann, R.C. and Zhao Y., P-V-T equation of state of (Mg, Fe)SiO3 perovskite Constraints on the Composition of the lower mantle, phys. Earth planet. Inter., 83: 13-40, (1994).

DOI: 10.1016/0031-9201(94)90109-0

[12] Takeniko Yagi and Nobumasa Funamori, Chemical Composition of the lower mantle inferred from the equation of state of MgSiO3 perovskite, Phil. Trans.R. Soc. Lond, A. 354, doi: 10. 1098/rsta. 1996. 0053.

[13] Agnes Dewaele, Francois. Guyot, Thermal Parameters of the Earth's Lower mantle, Physics of the Earth and planetary interiors 107: 261-267. (1998).

DOI: 10.1016/s0031-9201(98)00095-8

[14] Zhao.Y. and Anderson D.L., Mineral physics Constraints on the chemical. Composition of the Earth's lower mantle, phys. Earth. Planet. Inter., 85: 273-292, (1994).

DOI: 10.1016/0031-9201(94)90118-x

[15] Anderson, O.L., Masuda. K., Isaak, D.G., Limits on the value of δT and γ for MgSiO3 perovskite. phys, Earth planet, Inter., 96: 31-46, (1996).

DOI: 10.1016/s0031-9201(96)03169-x

[16] Juichiro Hama and Kaichi suito, Equation of state of MgSiO3 perovskite and its thermoelastic properties under lower mantle Conditions. J. Geophys. Res., 103, 7443-7462, (1998).

DOI: 10.1029/97jb03672