期刊
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
卷 118, 期 10, 页码 5274-5284出版社
AMER GEOPHYSICAL UNION
DOI: 10.1002/2013JB010270
关键词
iron carbide; equation of state; synchrotron; X-ray diffraction
资金
- Ministry of Education and Science of Russian Federation [14.B37.21.0457, 14.B25.31.0032]
- Integration project of Siberian Branch RAS [97]
- Russian Foundation for Basic Research [12-05-33008]
- CDAC [NSF EAR-1025629, EAR-1291881]
Resent experimental and theoretical studies suggested preferential stability of Fe3C over Fe7C3 at the condition of the Earth's inner core. Previous studies showed that Fe3C remains in an orthorhombic structure with the space group Pnma to 250 GPa, but it undergoes ferromagnetic (FM) to paramagnetic (PM) and PM to nonmagnetic (NM) phase transitions at 6-8 and 55-60 GPa, respectively. These transitions cause uncertainties in the calculation of the thermoelastic and thermodynamic parameters of Fe3C at core conditions. In this work we determined P-V-T equation of state of Fe3C using the multianvil technique and synchrotron radiation at pressures up to 31 GPa and temperatures up to 1473 K. A fit of our P-V-T data to a Mie-Gruneisen-Debye equation of state produce the following thermoelastic parameters for the PM-phase of Fe3C: V-0=154.6 (1) angstrom(3), K-T0 = 192 (3) GPa, K-T=4.5 (1), (0) = 2.09 (4), (0)=490 (120) ?, and q=-0.1 (3). Optimization of the P-V-T data for the PM phase along with existing reference data for thermal expansion and heat capacity using a Kunc-Einstein equation of state yielded the following parameters: V-0=2.327 cm(3)/mol (154.56 angstrom(3)), K-T0=190.8 GPa, K-T=4.68, (E10)=305 K (which corresponds to (0)=407 K), (0)=2.10, e(0)=9.2x10(-5) K-1, m=4.3, and g=0.66 with fixed parameters m(E1)=3n=12, =0, =0.3, and a(0)=0. This formulation allows for calculations of any thermodynamic functions of Fe3C versus T and V or versus T and P. Assuming carbon as the sole light element in the inner core, extrapolation of our equation of state of the NM phase of Fe3C suggests that 3.30.9 wt % C at 5000 ? and 2.30.8 wt % C at 7000 ? matches the density at the inner core boundary.
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