An equation of state for liquid iron and implications for the Earth's core

Details An equation of state for liquid iron and implications for the Earth's core An equation of state for liquid iron and implications for the Earth's core

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....99.4273a&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. B3, p. 4273-4284

Physics

Geophysics

75

Earth Core, Equations Of State, Geophysical Fluids, Geophysics, Iron, Liquid Metals, Compressing, Enthalpy, Internal Energy, Parameterization, Shock Waves, Solid Phases, Specific Heat, Temperature Dependence, Thermal Expansion, Ultrasonics

Scientific paper

An equation of state is presented for liquid iron based on published ultrasonic, thermal expansion, and enthalpy data at 1 bar and on pulse-heating and shock wave compression and sound speed data up to 10 Mbar. The equation of state parameters, centered at 1 bar and 1811 K (the normal melting point of iron), are density, P(sub o) = 7019 kg/cu m, isentropic bulk modulus, K(sub so) = 109.7 GPa, and the first-and second-pressure derivatives of K(sub s), K'(sub so) = 4.66 and K double prime(sub so) = -0.043 GPa. A parameterization of the Grueneisen parameter gamma as a function of density rho and specific internal energy E is gamma = gamma (sub o) + gamma'(p/p(sub o)) sup n(E-E(sub o)) where gamma (sub o) = 1.735 gamma' = -0.130 kg/MJ, n = -1.87, and E(sub o) is the internal energy of the liquid at 1 bar and 1811 K. The model gives the temperature dependence of gamma at constant volume as delta gamma/delta T(sub V) bar 1 bar, 1811 K = 8.4 x 10(exp -5) K(exp -1). The constant volume specific heat of liquid Fe at core conditions is 4.0-4.5 R. The model gives excellent agreement with measured temperatures of Fe under shock compression. Comparison with a preliminary reference Earth model indicates that the light component of the core does not significantly affect the magnitude of the isentropic bulk modulus of liquid Fe but does decrease its pressure derivative by approximately 10%. Pure liquid Fe is 3-6% more dense than the inner core, supporting the presence of several percent of light elements in the inner core.

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