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| Detailed Reference Information |
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Plymate, T.G. and Stout, J.H. (1989). A five parameter temperature-corrected Murnaghan equation for P-V-T surfaces. Journal of Geophysical Research 94: doi: 10.1029/89JB00585. issn: 0148-0227. |
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We have derived an explicit, empirical V(T,P) equation based on an exponential temperature correction of the isotherm Murnaghan equation. The equation is symmetrical with respect to the first- and second-order derivatives of volume and is consistent with the thermodynamic relationship between (∂KT/∂T)P and (∂αP/∂P)T. The only input data required are the five room temperature, room pressure parameters: K00, K'00, α00, α'00, and (∂KT/∂T)00. We have successfully tested out equation against literature pressure-volume-temperature (P-V-T) data for two materials which exhibit quite different isochore behavior: NaCl and SiO2 (α quartz). For NaCl our equation predicts isochores which are very nearly straight and parallel, reflecting the fact that the product αPKT is approximately constant for this substance. For SiO2 our equation reproduces the strong negative curvature <(∂2T/∂P2)V≪0> of the experimentally determined isochores. These results suggest that our five-parameter equation can be used to accurately predict the P-V-T behavior of a wide variety of solids, including those for which isochore curvature is pronounced. ¿ American Geophysical Union 1989 |
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Abstract |
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Keywords
Mineral Physics, Elasticity and anelasticity, Mineral Physics, High-pressure behavior, Mineral Physics, Physical thermodynamics, Mineral Physics, Thermal expansivity |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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