Physics – Geophysics
Scientific paper
Oct 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pepi...30...62w&link_type=abstract
Physics of the Earth and Planetary Interiors, vol. 30, Oct. 1982, p. 62-83.
Physics
Geophysics
1
Equations Of State, Geophysics, High Pressure, Interatomic Forces, Planetary Composition, Planetary Cores, Born Approximation, Earth Core, Earth Mantle, Free Energy, Halides, Hugoniot Equation Of State, Metal Oxides, Metals
Scientific paper
A new equation of state for the interatomic bonding forces of metals is developed for applications in geophysics. A formulation is made for the free energy, including expressions for the lattice energy and for the Fermi energy, in order to adequately describe the bonding forces of metals in a planetary interior. The resultant equations of state are found to display good agreement with high pressure data for geophysically relevant oxides and halides, e.g., MgO and AI2O3. Comparisons with isothermal conditions as determined by compression data from volumetric measurements, shock-wave data, and X-ray data, and a subsequent curve generated by use of the Born-Mayer equation of state, and good agreement was demonstrated. The new equation is concluded to be superior for calculations involving the earth's core, and is as good as other equations of state for computations dealing with the mantle.
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