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Detailed Reference Information |
Gillet, P., Richet, P., Guyot, F. and Fiquet, G. (1991). High-temperature thermodynamic properties of forsterite. Journal of Geophysical Research 96: doi: 10.1029/91JB00680. issn: 0148-0227. |
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The high-temperature thermodynamic properties of forsterite were reviewed in the light of a new determination of the isobaric heat capacity (Cp), up to 1850 K, and Raman spectroscopic measurements, up to 1150 K and 10 GPa. The Cp measurements and available data on thermal expansion (α) and bulk modulus (K) show that the isochoric specific heat (C&ngr;) exceeds the harmonic limit of Dulong and Petit above 1300 K. This intrinsic anharmonic behavior of C&ngr; can be modeled by introducing anharmonic parameters ai=(∂ln&ngr;i/∂T)V which are calculated from the measured pressure and temperature shifts of the vibrational frequencies. These parameters are all negative, with absolute values lower for the stretching models of the SiO4 tetrahedra (ai≈-1¿10-5 K-1) than for the lattice modes (ai≈-2¿10-5 K-1). Through the relation Cp=C&ngr;+α2KTVT, the calculated anharmonic C&ngr; and the measured Cp are then used to determine the temperature dependence of the thermal expansion and bulk modulus of forsterite, up to 2000 k, in agreement with recent experimental results. Finally, all these data point to an inconsistency for the Gr¿neisen parameter of forsterite, whereby the macroscopic parameter &ggr;=αVKT/C&ngr; cannot be evaluated simply at high temperature by summation of the individual isothermal mode Gr¿neisen parameters &ggr;tT=KT (∂ln&ngr;i/∂P). ¿ American Geophysical Union 1991 |
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Abstract |
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Keywords
Mineral Physics, General or miscellaneous |
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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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