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Grüneisen Parameter along Hugoniot and Melting Temperature of ε-Iron: a Result from Thermodynamic Calculations |
| HUANG Hai-Jun;JING Fu-Qian;CAI Ling-Cang;Bi Yan |
| Laboratory for Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academic of Engineering Physics, PO Box 919-111, Mianyang 621900 |
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HUANG Hai-Jun, JING Fu-Qian, CAI Ling-Cang et al 2005 Chin. Phys. Lett. 22 836-838 |
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Abstract Based on the available data of specific heat Cv at constant volume and the Grüneisen parameter γ of both lattice and electron contributions, we present a consistent method for simultaneously calculating the effective or synthesized Grüneisen parameter along Hugoniot, γeH, covering solid, mixed, and liquid states, and the melting temperature Tm for ε-iron. The rationality validation for this method is confirmed as compared with the experimental data, including the measured Tm and Hugoniot bulk sound velocities Cb. The calculated γeH and Tm for ε-iron at the Earth’s inner-core boundary (330GPa) are 1.58 and 5930K, respectively, which are close to the values of 1.53 and 6050K given by Anderson [J. Phys. Chem. Solids} 64 (2003) 2125]. This method for determination of γeH could be, in principle, also applicable to any thermodynamic state calculations, e.g., along isothermal and isentropic paths, other than the Hugoniot locus.
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| Keywords:
05.70.Ce
64.30.+t
91.60.Fe
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Published: 01 April 2005
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