Anharmonicity in mineral physics: A physical interpretation

Journal of Geophysical Research: Solid Earth

Volumn 108, Issue 9, 2003, Pages

  Stacey, F D ^a   Isaak, D G ^b  

^a CSIRO   (Australia)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Anharmonicity; Mineral; Quasi harmonic approximation

Indexed keywords

BULK MODULUS; HARMONIC ANALYSIS; HIGH TEMPERATURE; MINERALOGY; PHYSICS; THERMAL EXPANSION;

EID: 0348159762     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. Anderson, O. L., and K. Masuda, A thermodynamic method for computing thermal expansivity, α, vs. T along isobars for silicate perovskite, Phys. Earth Planet. Inter., 85, 227-236, 1994.
2. Anderson, O. L., and K. Zou, Thermodynamic functions and properties of MgO at high compression and high temperature, J. Phys. Chem. Ref. Data, 19, 69-83, 1990.
3. 3 perovskite at high pressure, derived from spectroscopy, Phys. Earth Planet. Inter., 98, 3-16, 1996.
4. Dugdale, J. S., and D. K. C. MacDonald, Thermal expansion of solids, Phys. Rev., 89, 832-834, 1953.
5. 4 (olivine form): Some insights on anharmonicity, Phys. Earth Planet. Inter., 58, 141-154, 1989.
6. Gillet, P., P. Richet, F. Guyot, and G. Fiquet, High-temperature thermodynamic properties of forsterite, J. Geophys. Res., 96, 11,805-11,816, 1991.
7. 3-perovskite, Geophys. Res. Lett., 23, 3043-3046, 1996.
8. 4-forsterite measured from the volume dependence of the Raman spectrum, Eur. J. Mineral., 9, 255-262, 1997.
9. 3-perovskite derived from pressure, temperature and volume dependence of the Raman mode frequencies, Phys. Earth Planet. Inter., 117, 361-384, 2000.
10. Guyot, F., Y. Wang, P. Gillet, and Y. Ricard, Quasi-harmonic computations of thermodynamic parameters of olivines at high-pressure and high-temperature: A comparison with experiment data, Phys. Earth Planet. Inter., 98, 17-29, 1996.
11. Hardy, R., Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state, J. Geophys. Res., 85, 7011-7015, 1980.
12. Inbar, I., and R. E. Cohen, High pressure effects on thermal properties of MgO, Geophys. Res. Lett., 22, 1533-1536, 1995.
13. Irvine, R. D., and F. D. Stacey, Pressure dependence of the thermal Grüneisen parameter, with application to the Earth's lower mantle and outer core, Phys. Earth Planet. Inter., 11, 157-165, 1975.
14. Isaak, D. G., R. E. Cohen, and M. J. Mehl, Calculated elastic and thermal properties of MgO at high pressures and temperatures, J. Geophys. Res., 95, 7055-7067, 1990.
15. Karki, B. B., R. M. Wentzcovitch, S. de Gironcoli, and S. Baroni, First-principles determination of elastic anisotropy and wave velocities of MgO at lower mantle conditions, Science, 286, 1705-1707, 1999.
16. Karki, B. B., R. M. Wentzcovitch, S. de Gironcoli, and S. Baroni, High-pressure lattice dynamics and thermoelasticity of MgO, Phys. Rev. B, 61, 8793-8800, 2000.
17. 3-perovskite: Consequences for the inferred properties of the lower mantle, Geophys. Res. Lett., 28, 2699-2702, 2001.
18. Kittel, C., Introduction to Solid State Physics, 4th ed., 766 pp., John Wiley, New York, 1977.
19. Knopoff, L., Equations of state of solids at moderately high pressures, in High Pressure Physics and Chemistry, vol. 1, edited by R. S. Bradley, pp. 227-245, Academic, San Diego, Calif., 1963.
20. Liu, L.-G., Volume, pressure and temperature dependences of vibrational frequencies, Phys. Lett. A, 176, 448-453, 1993.
21. 3 perovskite, Phys. Earth Planet. Inter., 122, 277-288, 2000.
22. Poirier, J.-P., and A. Tarantola, A logarithmic equation of state, Phys. Earth Planet. Inter., 109, 1-8, 1998.
23. Stacey, F. D., Properties of a harmonic lattice, Phys. Earth Planet. Inter., 78, 19-22, 1993.
24. 3 perovskite and a comparison with the lower mantle, Phys. Earth Planet. Inter., 98, 65-77, 1996.
25. Stacey, F. D., The K-primed approach to high pressure equations of state, Geophys. J. Int., 143, 621-628, 2000.
26. Stacey, F. D., and D. G. Isaak, Compositional constraints on the equation of state and thermal properties of the lower mantle, Geophys. J. Int., 146, 143-154, 2001.
27. Stacey, F. D., B. J. Brennan, and R. D. Irvine, Finite strain theories and comparisons with seismological data, Geophys. Surv., 4, 189-232, 1981.