Thermoelastic properties of MgSiO3 perovskite using the Debye approach

American Mineralogist

Volumn 83, Issue 1-2, 1998, Pages 23-35

  Anderson, Orson L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE VELOCITY; ALUMINA; ALUMINUM OXIDE; ELASTIC MODULI; EQUATIONS OF STATE; MAGNESIA; POISSON EQUATION; SHEAR FLOW; SILICON; SPECIFIC HEAT; THERMOELASTICITY;

ACOUSTIC DATA; AMBIENT CONDITIONS; DEBYE APPROACH; EQUATION OF STATE; ISOTHERMAL BULK MODULUS; THERMAL EXPANSIVITY; THERMAL PRESSURE; THERMOELASTIC PROPERTIES;

PEROVSKITE;

DEBYE THEORY; PEROVSKITE; THERMOELASTIC PROPERTIES;

EID: 0031778920     PISSN: 0003004X     EISSN: None     Source Type: Journal    
DOI: 10.2138/am-1998-1-202     Document Type: Article

References (58)

1. 3 perovskite. Geophysical Research Letters, 20, 105-108.
2. Anderson, O.L. (1963) A simplified method of calculating the Debye temperature from elastic constants. Journal of Physics and Chemistry of Solids, 24, 909-917.
3. _(1995) Equations of state of solids for geophysics and ceramic science. Oxford University Press, New York.
4. _(1997) The volume dependence of the thermal pressure of solids. Journal of Physics and Chemistry of Solids, 58, 335-343.
5. T, upon compression at extreme conditions. Journal of Physics and Chemistry of Solids, 54, 221-227.
6. _(1995) Elastic constans of mantle minerals at high temperatures. In T.J. Ahrens, Ed., Mineral physics and crystallography: A handbook of physical constants (Reference Shelf 2), p. 64-97. American Geophysical Union, Washington, D.C.
7. Anderson, O.L. and Masuda, K. (1994) A thermoelastic method for computing thermal expansivity, α, vs. T along isobars for silicate perovskite. Physics of the Earth and Planetary Interiors, 85, 237-236.
8. Anderson, O.L. and Zou, K. (1989) Formulation of the thermodynamic functions for mantle minerals: MgO as an example. Journal of Physics and Chemistry of Minerals, 16, 642-648.
9. Anderson, O.L., Isaak, D., and Oda, H. (1992) High-temperature elastic constant data on minerals relevant to geophysics. Reviews of Geophysics, 30, 57-90.
10. Anderson, O.L., Masada, K., and Guo, D. (1995a) Pure silicate perovskite and the PREM lower mantle model: A thermodynamic analysis. Physics of the Earth and Planetary Interiors, 89, 33-49.
11. Anderson, O.L., Masuda, K., and Isaak, D.G. (1995b) A new thermodynamic approach for high-pressure physics. Physics of the Earth and Planetary Interiors, 91, 3-16.
12. 3 perovskite. Physics of the Earth and Planetary Interiors, 98, 31-46.
13. Barron, T.H.K. (1955) Thermal expansion of solids at low temperatures. Philosophical Magazine, 7, 720-727.
14. _(1957) Grüneisen parameters for the equation of state of solids. Annals of Physics, 1, 77-89.
15. _(1977) Room temperature Debye-Waller factors of magnesium oxide. Acta Crystallography, A33, 602-604.
16. Barron, T.H.K., Collins, J.G., and White, G.K. (1980) Thermal expansion of solids at low temperatures. Advances in Physics, 29, 609-730.
17. Bina, C.R. (1995) Confidence limits for silicate perovskite equations of state. Physics and Chemistry of Minerals, 22, 375-382.
18. Birman, J.L. (1984) Theory of crystal space groups and lattice dynamics, 538 p. Springer-Verlag, Berlin.
19. Born, M. (1915) Dynamik der Kristallgitter, 1st Ed. Tuebner Press, Leipzig.
20. _(1923) Atomtheorie der festen Zustandes, 2nd Ed. Tuebner Press, Leipzig.
21. Chopelas, A. (1990) Thermal expansion, heat capacity, and entropy of MgO at mantle pressure. Physics and Chemistry of Minerals, 17, 142-148.
22. 3 perovskite at high pressure, derived from spectroscopy. Physics of the Earth and Planetary Interiors, 98, 3-16.
23. 4 phase equilibrium. Physics and Chemistry of Minerals, 21, 351-359.
24. 3 perovskite. Pramäna Journal of Physics, 30, 423-428.
25. T through the entropy. Journal of Physics and Chemistry of Solids, 11, 1593-1599.
26. Debye, P. (1912) Zur Theorie der spezifischen Wärmen. Annalen der Physik, 39, 789.
27. 3 perovskite determined by in situ x-ray observations up to 30 GPa and 2000 K. Journal of Geophysical Research, 101, 8257-8269.
28. Gillet, P. (1996) Raman spectroscopy at high pressure and high temperature. Phase transitions and thermodynamic properties of minerals. Physics and Chemistry of Minerals, 23, 263-265.
29. 3 perovskite. Physics and Chemistry of Minerals, 20, 159-170.
30. 3-perovskite. Geophysical Research Letters, 23, 3043-3046.
31. 18O-substituted calcite. Geochimica Cosmochimica Acta, 60, 3471-3485.
32. Guyot, F., Wang, Y., Gillet, P., and Ricard, Y. (1996) Quasi-harmonic computations of thermodynamic parameters of olivines at high-pressure and high-temperature. A comparison with experiment data. Physics of the Earth and Planetary Interiors, 98, 17-29.
33. Hemley, R.J., Stixrude, L., Fei, Y., and Mao, H.K. (1992) Elasticity and equation of state of perovskite: Implications for the earth's lower mantle. In Y. Syono and M.H. Manghnani, Eds., High pressure research: Applications to earth and planetary sciences, p. 183-190. American Geophysical Union, Washington, D.C.
34. Jackson, I. (1983) Some geophysical constraints on the chemical composition of the Earth's lower mantle. Earth and Planetary Science Letters, 62, 91-103.
35. Jackson, I. and Rigden, S.M. (1996) Analysis of P-V-T data: Constraints on the thermoelastic properties of high-pressure minerals. Physics of the Earth and Planetary Interiors, 96, 95-112.
36. Jeanloz, R. and Knittle, E. (1989) Composition of the lower mantle. Philosophical Transactions of the Royal Society of London A, 328, 377-389.
37. Kieffer, S.W. (1982) Thermodynamics and lattice vibrations of minerals: 5. Applications to phase equilibria, isotropic fractionation, and high-pressure thermodynamic properties. Reviews of Geophysics and Space Physics, 20, 827-849.
38. _(1985) Heat capacity and entropy. In Mineralogical Society of America Reviews in Mineralogy, 14, 65-126.
39. Kittel, C. (1971) Introduction to solid state physics (4th edition), 617 p. Wiley, New York.
40. Knittle, E., Jeanloz, R., and Smith, G.L. (1986) The thermal expansion of silicate perovskite and stratification of the Earth's mantle. Nature, 319, 214-216.
41. Liebermann, R.C. (1982) Elasticity of minerals a high pressure and temperature. In W. Schreyer, Ed., High pressure researches in geosciences, p. 1-14. Schweizerbart'sche, Stuttgart.
42. Lu, R., Hofmeister, A.M., and Wang, Y. (1994) Thermodynamic properties of ferromagnesium silicate perovskites from vibrational spectroscopy. Journal of Geophysical Research, 99, 11,795-11,804.
43. 3 perovskite to 30 GPa. Journal of Geophysical Rasearch, 96, 8069-8079.
44. Masuda, K. and Anderson, O.L. (1995) The isentropic density profile of perovskite computed by the thermal pressure. Geophysical Research Letters, 22, 2211-2214.
45. Navrotsky, A. (1989) Thermochemistry of perovskites. In A. Navrotsky and D.J. Weidner, Eds., Perovskite: A structure of great interest to geophysics and materials science, p. 67-80. Geophysics Monograph 45. American Geophysical Union, Washington, D.C.
46. Poirier, J.P. (1991) Introduction to the physics of the earth's interior, 261 p. Cambridge University Press, Cambridge.
47. 3 perovskite from 77 to 400 K. Physics and Chemistry of Minerals, 16, 415-420.
48. Sangster, M.J.L., Peckham, G., and Saunderson, D.H. (1970) Lattice dynamics of magnesium oxide. Journal of Physical Chemistry, 3, 1026-1036.
49. Saxena, S.K., Chatterjee, N., Fei, Y., and Shen, G. (1993) Thermodynamic data on oxides and silicates, 297 p. Sponger-Verlag, Berlin, Heidelberg.
50. Shankland, T.J. (1972) Velocity-density systematics: Derivation from Debye theory and the effect of ionic size. Journal of Geophysical Research, 77, 3750-3758.
51. 3 perovskite and a comparison with the lower mantle. Physics of the Earth and Planetary Interiors, 98, 65-78.
52. Stixrude, L., Hemley, R.J., Fei, Y., and Mao, H.K. (1992) Thermoelasticity of silicate perovskite and magnesiowüstite and stratification of the earth's mantle. Science, 257, 1099-1101.
53. 3 perovskite under high pressures up to 20 GPa. Geophysical Research Letters, 22, 1005-1008.
54. 3 perovskite: Constraints on composition of the lower mantle. Physics of the Earth and Planetary Interiors, 83, 13-40.
55. White, G.K. and Anderson, O.L. (1966) Grüneisen parameter for magnesium oxide. Journal of Applied Physics, 430-433.
56. 3 perovskite derived from large scale molecular motions. Physics and Chemistry of Minerals, 18, 407-415.
57. Yeganeh-Haeri, A. (1994) Synthesis and reinvestigation of the elastic properties of single crystal magnesium silicate perovskite. Physics of the Earth and Planetary Interiors, 87, 111-121.
58. Zhao, Y. and Anderson, D.L. (1994) Mineral constraints on the chemical composition of the Earth's lower mantle. Physics of the Earth and Planetary Interiors, 85, 273-292.