Single-crystal elasticity of pyrope and MgO to 20 GPa by Brillouin scattering in the diamond cell

Physics of the Earth and Planetary Interiors

Volumn 120, Issue 1, 2000, Pages 43-62

  Sinogeikin, Stanislav V ^a   Bass, Jay D ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Brillouin spectroscopy; Diamond anvil cell; Elastic properties; Equation of state; Mantle mineralogy

Indexed keywords

CRYSTAL STRUCTURE; DIAMOND ANVIL CELL; ELASTICITY; MANTLE; MINERALOGY; PYROPE;

EID: 0033941191     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9201(00)00143-6     Document Type: Article

References (74)

1. Abramson E.H., Brown J.M., Slutsky L.J., Zaug J. The elastic constants of San-Carlos olivine to 17 GPa. J. Geophys. Res. 102:1997;12253-12263.
2. Aleksandrov K.S., Prodaivoda G.T. Elastic properties of minerals. Crystallogr. Rep. 38:1993;698-709.
3. Anderson O.L., Isaak D., Oda H. High-temperature elastic constant data on minerals relevant to geophysics. Rev. Geophys. 30:1992;57-90.
4. Ando J., Irifune T., Takeshita T., Fujino K. Evaluation of the non-hydrostatic stress produced in a multi-anvil high pressure apparatus. Phys. Chem. Miner. 24:1997;139-148.
5. Bass J.D. Elasticity of minerals, glasses, and melts. Ahrens T.J. Mineral Physics and Crystallography: A Handbook of Physical Constants. 1995;45-63 AGU, Washington, DC.
6. Bassett W.A., Takahashi T. X-ray diffraction studies up to 300 kbar. Wentorf J. Advances in High-Pressure Research. 1974;165-247 Academic Press, London. R.H.
7. Bean V.E., Akimoto S., Bell P.M., Block S., Holzapfel W.B., Manghnani M.H., Nicol M.F., Stishov S.M. Another step toward an international practical pressure scale; 2nd AIRAPT IPPS task group report. Physica B. 139/140:1986;52-54.
8. Bell P.M., Mao H.K. Degrees of hydrostaticity in He, Ne, and Ar pressure-transmitting media. Carnegie Institution Annual Report of the Geophysical Laboratory. vol. 80:1981;404-406.
9. 3-perovskite and MgO (periclase) from computer simulations. Phys. Earth Planet. Inter. 98:1996;47-54.
10. Bina C.R., Silver P.G. Constraints on lower mantle composition and temperature from density and bulk sound velocity profiles. Geophys. Res. Lett. 17:1990;1153-1156.
11. Bonczar L.J., Graham E.K., Wang H. The pressure and temperature dependence of the elastic constants of pyrope garnet. J. Geophys. Res. 82:1977;2529-2534.
12. Bukowinski M.S.T. First principles equations of state of MgO and CaO. Geophys. Res. Lett. 12:1985;536-539.
13. Chai M., Brown J.M. Effects of static non-hydrostatic stress on the R lines of ruby single crystals. Geophys. Res. Lett. 23:1996;3539-3542.
14. Chai M., Brown J.M., Slutsky L.J. The elastic constants of a pyrope-grossular-almandine garnet to 20 GPa. Geophys. Res. Lett. 24:1997;523-526.
15. Chang K.J., Cohen M.L. High-pressure behavior of MgO: structural and electronic properties. Phys. Rev. B. 30:1984;4774-4781.
16. Chen G., Liebermann R.C., Weidner D.J. Elasticity of single-crystal MgO to 8 gigapascals and 1600 kelvin. Science. 280:1998;1913-1916.
17. 12-pyrope garnet to 10 GPa. Am. Mineral. 84:1999;384-388.
18. Conrad P.G., Zha C.-S., Mao H.-K., Hemley R.J. The high-pressure, single crystal elasticity of pyrope, grossular, and andradite. Am. Mineral. 84:1999;374-383.
19. Davies G.F., Dziewonski A.M. Homogeneity and constitution of the Earth's lower mantle and outer core. Phys. Earth Planet. Inter. 10:1975;336-343.
20. Duffy T.S., Ahrens T.J. Compressional sound velocity, equation of state, and constitutive response of shock-compressed magnesium oxide. J. Geophys. Res. 100:1995;529-542.
21. Duffy T.S., Anderson D.L. Seismic velocities in mantle minerals and the mineralogy of the upper mantle. J. Geophys. Res. 94:1989;1895-1912.
22. Duffy T.S., Hemley R.J., Mao H.-K. Equation of state and shear strength at multimegabar pressures: magnesium oxide to 227 GPa. Phys. Rev. Lett. 74:1995;1371-1374.
23. Duffy T.S., Zha C.-S., Downs R.T., Mao H.-K., Hemley R.J. Elasticity of forsterite to 16 GPa and the composition of the upper mantle. Nature. 378:1995;170-173.
24. Dziewonski A.M., Anderson D.L. Preliminary reference Earth model. Phys. Earth. Planet. Inter. 25:1981;297-356.
25. Finger L.W., Hazen R.M., Zou G., Mao H.-K., Bell P.M. Structure and compression of crystalline argon and neon at high pressure at room temperature. Appl. Phys. Lett. 39:1981;892-894.
26. Fujisawa H. Elastic wave velocities of forsterite and its β-spinel form and chemical boundary hypothesis for the 410-km discontinuity. J. Geophys. Res. 103:1998;9591-9608.
27. Fujishiro I., Piermarini G.J., Block S., Munro R.G. High pressure in research and industry. Backman C.M., Tegner L. 8th AIRAPT Conference, Uppsala:1982;608. J.T.
28. Gupta Y.M., Shen X.A. Potential use of the ruby R2 line shift for static high-pressure calibration. Appl. Phys. Lett. 58:1991;583-585.
29. Gupta Y.M., Horn P.D., Burt J.A. Effect of tension on R lines in ruby crystals shocked along crystal c axis. J. Appl. Phys. 76:1994;1784-1788.
30. 3-garnet to 8 GPa. Geophys. Res. Lett. 25:1998;4553-4556.
31. Hill R. The elastic behavior of a crystalline aggregates. Proc. Phys. Soc., London, Sect. A. 65:1952;349-354.
32. Isaak D.G., Anderson O.L., Goto T. Measured elastic moduli of single-crystal MgO up to 1800 K. Phys. Chem. Miner. 16:1989;704-713.
33. Isaak D.G., Cohen R.E., Mehl M.J. Calculated elastic and thermal properties of MgO at high pressures and temperatures. J. Geophys. Res. 95:1990;7055-7067.
34. 4 and some geophysical implications. J. Geophys. Res. 94:1989;10,637-10,646.
35. Jackson I., Niesler H. The elasticity of periclase to 3 GPa and some geophysical implications. Akimoto S., Manghnani M.H. High Pressure Research in Geophysics. 1982;93-113 Center for Academic Publications Japan, Tokyo.
36. Karki B.B., Stixrude L., Clark S.J., Warren M.C., Ackland G.J., Crain J. Structure and elasticity of MgO at high pressure. Am. Mineral. 82:1997;51-60.
37. Karki B.B., Wentzcovitch R.M., de Gironcoli S., Baroni S. First-principles determination of elastic anisotropy and wave velocities of MgO at lower mantle conditions. Science. 286:1999;1705-1707.
38. Leger J.M., Redon A.M., Chateau C. Compressions of synthetic pyrope, spessartine and uvarovite garnets up to 25 GPa. Phys. Chem. Miner. 17:1990;161-167.
39. Levien L., Prewitt C.T., Weidner D.J. Compression of pyrope. Am. Mineral. 64:1979;805-808.
40. 4 at Earth's transition zone pressures. Geophys. Res. Lett. 23:1996;2259-2262.
41. Mao H.K., Bell P.M. Technique of operating the diamond-window pressure cell: considerations of the design and functions of the diamond anvils. Carnegie Institution Annual Report of the Geophysical Laboratory. vol. 76:1977;646-650.
42. Mao H.K., Bell P.M. Design and operation of a diamond-window high-pressure cell for the study of single-crystal samples loaded cryogenically. Year Book-Carnegie Inst. Washington. 79:1980;409-411.
43. Mao H.K., Bell P.M., Shaner J.W., Steinberg D.J. Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R1 fluorescence pressure gauge from 0.06 to 1 Mbar. J. Appl. Phys. 49:1978;3276-3282.
44. McCarthy M.I., Harrison N.M. Ab initio determination of the bulk properties of MgO. Phys. Rev. B. 49:1994;8574-8582.
45. Merrill L., Bassett W.A. Miniature diamond anvil pressure cell for single crystal X-ray diffraction studies. Rev. Sci. Instrum. 45:1974;290-294.
46. 12. Phys. Chem. Miner. 27:1999;3-10.
47. Oda H., Isoda S., Inouye Y., Suzuki I. Elastic constants and anelastic properties of an anisotropic periclase sphere as determined by the resonant sphere technique. J. Geophys. Res. 99:1994;15517-15527.
48. 3] and grossular garnet. J. Geophys. Res. 96:1991;14313-14318.
49. Oliver W.F., Herbst C.A., Lindsay S.M., Wolf G.H. A general method for determination of Brillouin linewidths by correction for instrumental effects and aperture broadening: application to high-pressure diamond anvil cell experiments. Rev. Sci. Instrum. 63:1992;1884-1895.
50. O'Neill B., Bass J.D., Rossman G.R., Geiger C.A., Langer K. Elastic properties of pyrope. Phys. Chem. Miner. 17:1991;617-621.
51. Piermarini G.J., Block S., Barnett J.D. Hydrostatic limits in liquids and solids to 100 kbar. J. Appl. Phys. 44:1973;5377-5382.
52. Reeves L.E., Scott G.J., Babb Jr S.E. Melting curves of pressure-transmitting fluids. J. Chem. Phys. 40:1964;3662-3666.
53. Rigden S.M., Gwanmesia G.D., Liebermann R.C. Elastic wave velocities of a pyrope-majorite garnet to 3 GPa. Phys. Earth Planet. Inter. 86:1994;35-44.
54. Shen X.A., Gupta Y.M. Effect of crystal orientation on ruby R-line shifts under shock compression and tension. Phys. Rev. B. 48:1993;2929-2940.
55. Sinogeikin S.V., Bass J.D. Single-crystal elasticity of MgO at high pressure. Phys. Rev. B. 59:1999;R14141-R14144.
56. Sinogeikin S.V., Katsura T., Bass J.D. Sound velocities and elastic properties of Fe-bearing wadsleyite and ringwoodite. J. Geophys. Res. 103:1998;20,819-20,825.
57. Sinogeikin S.V., Jackson J.M., O'Neill B., Palko J.W., Bass J.D. Compact high-temperature cell for Brillouin scattering measurements. Rev. Sci. Instrum. 71:2000;201-206.
58. Soga N. Elastic constants of garnet under pressure and temperature. J. Geophys. Res. 72:1967;4227-4234.
59. Spetzler H. Equation of state of polycrystalline and single-crystal MgO to 8 kilobars and 800 K. J. Geophys. Res. 75:1970;2073-2087.
60. Sumino Y., Ohno I., Goto T., Kumazawa M. Measurement of elastic constants and internal frictions on single-crystal MgO by rectangular parallelepiped resonance. J. Phys. Earth. 24:1976;263-273.
61. Sumino Y., Anderson O.L., Suzuki I. Temperature coefficients of elastic constants of single crystal MgO between 80 and 1300 K. Phys. Chem. Miner. 9:1983;38-47.
62. Suzuki I., Anderson O.L. Elasticity and thermal expansion of a natural garnet up to 1000 K. J. Phys. Earth. 21:1983;125-138.
63. Webb S.L. The elasticity of the upper mantle orthosilicates olivine and garnet to 3 GPa. Phys. Chem. Miner. 16:1989;684-692.
64. Weidner D.J., Carleton H.R. Elasticity of coesite. J. Geophys. Res. 82:1977;1334-1346.
65. Whitfield C.H., Brody E.M., Bassett W.A. Elastic moduli of NaCl by Brillouin scattering at high pressure in a diamond anvil cell. Rev. Sci. Instrum. 47:1976;942-947.
66. Wolf G.H., Bukowinski M.S.T. Variational stabilization of the ionic charge densities in the electron-gas theory of crystals: application to MgO and CaO. Phys. Chem. Miner. 15:1988;209-220.
67. 4. J. Phys. Earth. 38:1990;19-55.
68. Zaug J.M., Abramson E.H., Brown J.M., Slutsky L.J. Sound velocities in olivine at Earth's mantle pressures. Science. 260:1993;1487-1489.
69. Zha C.-S., Duffy T.S., Downs R.T., Mao H.-K., Hemley R.J. Sound velocity and elasticity of single-crystal forsterite to 16 GPa. J. Geophys. Res. 101:1996;17535-17545.
70. 4 to the pressure of the 410 km seismic discontinuity in the Earth's mantle. Earth Planet. Sci. Lett. 147:1997;E9-E15.
71. Zha C.-S., Duffy T.S., Downs R.T., Mao H.-K., Hemley R.J. Brillouin scattering and X-ray diffraction of San-Carlos olivine: direct pressure determination to 32 GPa. Earth Planet. Sci. Lett. 159:1998;25-33.
72. Zhang L., Ahsbahs H., Kutoglu A. Hydrostatic compression and crystal structure of pyrope to 33 GPa. Phys. Chem. Miner. 25:1998;301-307.
73. Zhang L., Ahsbahs H., Kutoglu A., Geiger C.A. Single-crystal hydrostatic compression of synthetic pyrope, almandine, spessartine, grossular and andradite garnets at high pressures. Phys. Chem. Miner. 27:1999;52-58.
74. Zhao Y., Anderson D.L. Mineral physics constraints on the chemical composition of the Earth's lower mantle. Phys. Earth. Planet. Inter. 85:1994;273-292.