The Gibbs energy formulation of the α, β, and γ forms of Mg2SiO4 using Grover, Getting and Kennedy's empirical relation between volume and bulk modulus |
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Authors: | M H G Jacobs H A J Oonk |
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Institution: | (1) Geodynamics Research Institute, Utrecht University, Budapestlaan 4, 3584 CD Utrecht, The Netherlands Tel.: +31-30-2535066; Fax: +31-30-2535030 e-mail: jacobs@geo.uu.nl , NL;(2) Debye Institute and Geodynamics Research Institute, Utrecht University, Padualaan 8, 3584 CH Utrecht, The Netherlands, NL |
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Abstract: | The empirical linear relation between volume and logarithm of bulk modulus of a material, discovered by Grover, Getting and
Kennedy is taken as the basis for our equation of state. Using the latest experimental information on the adiabatic bulk modulus,
the equation of state is applied to the three polymorphs of Mg2SiO4 to develop a consistent dataset of their thermodynamic properties in the temperature range of 200–2273 K and a pressure range
of 0.1 MPa–30 GPa. The results imply that the bulk sound velocity contrast (v
β−v
α)/v
α increases with temperature along the α–β phase boundary and reaches the value 8.9% at 13.5 GPa, a pressure equivalent to
410 km depth in the Earth. The bulk sound velocity contrast (v
γ−v
β)/v
β decreases with temperature along the β–γ phase boundary and becomes less than 0.7% at temperatures and pressures equivalent
to those associated with the 520-km seismic discontinuity in the Earth.
Received: 1 August 2000 / Accepted: 1 March 2001 |
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Keywords: | Thermal expansivity Bulk modulus Sound velocity Equation of state Olivine |
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