Physics and Chemistry of Minerals

, Volume 31, Issue 10, pp 660–670 | Cite as

P - V - T equation of state of stishovite to the mantle transition zone conditions

  • Yu Nishihara
  • Keisuke Nakayama
  • Eiichi Takahashi
  • Tomohiro Iguchi
  • Ken-ìchi Funakoshi
Report

Abstract

In-situ synchrotron X-ray diffraction experiments were conducted using the SPEED-1500 multi-anvil press of SPring-8 on stishovite SiO2 and pressure-volume-temperature data were collected at up to 22.5 GPa and 1,073 K, which corresponds to the pressure conditions of the base of the mantle transition zone. The analysis of room-temperature data yielded V0=46.56(1) Å3, KT 0=296(5) GPa and KT =4.2(4), and these properties were consistent with the subsequent thermal equation of state (EOS) analyses. A fit of the present data to high-temperature Birch-Murnaghan EOS yielded (∂KT/∂T) P =−0.046(5) GPa K−1 and α= a + bT with values of a =1.26(11)×10–5 K–1 and b =1.29(17)×10–8 K–2. A fit to the thermal pressure EOS gives α0=1.62(9)×10−5 K–1, (∂ K T/∂ T) V =−0.027(4) GPa K−1 and (∂2P /∂T2) V =27(5)×10–7 GPa K−2. The lattice dynamical approach by Mie-Grüneisen-Debye EOS yielded γ0=1.33(6), q =6.1(8) and θ0=1160(120) K. The strong volume dependence of the thermal pressure of stishovite was revealed by the analysis of present data, which was not detectable by the previous high-temperature data at lower pressures, and this yields (∂ K T/∂ T) V ≠0 and q ≠1. The analyses for the fictive volume for a and c axes show that relative stiffness of c axis to a axis is similar both on compression and thermal expansion. Present EOS enables the accurate estimate of density of SiO2 in the deep mantle conditions.

Keywords

Stishovite Equation of state High pressure and high temperature Synchrotron radiation 

References

  1. Akaogi M, Yusa H, Shiraishi K, Suzuki T (1995) Thermodynamic properties of α-quartz, coesite, and stishovite and equilibrium phase relations at high pressures and high temperature. J Geophys Res 100:22337–22347CrossRefGoogle Scholar
  2. Anderson OL (1984) A universal thermal equation-of-state. J Geodyn 1:185–214CrossRefMATHGoogle Scholar
  3. Anderson OL (1999) The volume dependence of thermal pressure in perovskite and other minerals. Phys Earth Planet Int 112:267–283CrossRefGoogle Scholar
  4. Anderson OL, Isaak DG, Yamamoto S (1989) Anharmonicity and the equation of state for gold. J Appl Phys 65:1534–1543CrossRefGoogle Scholar
  5. Andrault D, Angel RJ, Mosenfelder JL, Le Bihan T (2003) Equation of state of stishovite to lower mantle pressures. Am Mineral 88:301–307Google Scholar
  6. Andrault D, Fiquet G, Guyot F, Hanfland M (1998) Pressure-induced Landau-type transition in stishovite. Science 282:720–724CrossRefGoogle Scholar
  7. Aoki I, Takahashi E (2004) Density of MORB eclogite in the upper mantle. Phys Earth Planet Int 143–144:129–143Google Scholar
  8. Carpenter MA, Hemley RJ, Mao H-k (2000) High-pressure elasticity of stishovite and the P 42/ mnm = Pnnm phase transition. J Geophys Res 105:10807–10816CrossRefGoogle Scholar
  9. Duffy TS, Anderson DL (1989) Seismic velocities in mantle minerals and the mineralogy of the upper mantle. J Geophys Res 94:1895–1912Google Scholar
  10. Endo S, Akai T, Akahama Y, Wakatsuki M, Nakamura T, Tomii Y, Koto K, Ito Y, Tokonami M (1986) High temperature X-ray study of single crystal stishovite synthesized with Li2WO4 as flux. Phys Chem Minerals 13:146–151CrossRefGoogle Scholar
  11. Guyot F, Wang Y, Gillet P, Ricard Y (1996) Quasi-harmonic computations of thermodynamic parameters of olivines at high-pressure and high-temperature. A comparison with experiment data. Phys Earth Planet Int 98:17–29CrossRefGoogle Scholar
  12. Hemley RJ, Prewitt CT, Kingma KJ (1994) High-pressure behavior of silica. In: Heaney RJ, Prewitt CT, Gibbs GV (eds) Silica: physical behavior, geochemistry and materials applications. Mineral Soc Am, pp 41–81Google Scholar
  13. Irifune T, Ringwood AE (1993) Phase transformations in subducted oceanic crust and buoyancy relationships at depths of 600–800 km in the mantle. Earth Planet Sci Lett 117:101–110CrossRefGoogle Scholar
  14. Irifune T, Ringwood AE, Hibberson WO (1994) Subduction of continental crust and terrigenous and pelagic sediments: an experimental study. Earth Planet Sci Lett 126:351–368CrossRefGoogle Scholar
  15. Irifune T, Sekine T, Ringwood AE, Hibberson WO (1986) The eclogite-garnetite transformation at high pressure and some geophysical implications. Earth Planet Sci Lett 77:245–256CrossRefGoogle Scholar
  16. Isaak DG, Carnes JD, Anderson OL, Cynn H, Hake E (1998) Elasticity of TiO2 rutile to 1,800 K. Phys Chem Mineral 26:31–43CrossRefGoogle Scholar
  17. Ito H, Kawada K, Akimoto S-i (1974) Thermal expansion of stishovite. Phys Earth Planet Int 8:277–281CrossRefGoogle Scholar
  18. Jackson I, Rigden SM (1996) Analysis of P - V - T data: constraints on the thermoelastic properties of high-pressure minerals. Phys Earth Planet Int 96:85–112CrossRefGoogle Scholar
  19. Karki BB, Stixrude L, Crain J (1997b) Ab initio elasticity of three high-pressure polymorphs of silica. Geophys Res Lett 24:3269–3272CrossRefGoogle Scholar
  20. Karki BB, Warren MC, Stixrude L, Ackland GJ, Crain J (1997a) Ab initio studies of high-pressure structural transformations in silica. Phys Rev B 55:3465–3471 (Erratum, Phys Rev B 56:2884, 1997)Google Scholar
  21. Kesson SE, Fitz Gerald JD, Shelley JMG (1994) Mineral chemistry and density of subducted basaltic crust at lower-mantle pressures. Nature 372:767–769CrossRefGoogle Scholar
  22. Kingma KJ, Cohen RE, Hemley RJ, Mao H-k (1995) Transformation of stishovite to a denser phase at lower-mantle pressures. Nature 374:243–245CrossRefGoogle Scholar
  23. Li B, Rigden SM, Liebermann RC (1996) Elasticity of stishovite at high pressure. Phys Earth Planet Int 96:113–127CrossRefMATHGoogle Scholar
  24. Liu J, Zhang J, Flesch L, Li B, Weidner DJ, Liebermann RC (1999) Thermal equation of state of stishovite. Phys Earth Planet Int 112:257–266CrossRefGoogle Scholar
  25. Luo S-N, Mosenfelder JL, Asimow PD, Ahrens TJ (2002) Direct shock wave loading of stishovite to 235 GPa: implications for perovskite stability relative to an oxide assemblage at lower mantle conditions. Geophys Res Lett 29:10.1029/2002GL015627CrossRefGoogle Scholar
  26. Murakami M, Hirose K, Ono S, Ohishi Y (2003) Stability of CaCl2-type and α-PbO2-type SiO2 at high pressure and temperature determined by in-situ X-ray measurements. Geophys Res Lett 30:10.1029/2002GL016722CrossRefGoogle Scholar
  27. Nishihara Y, Takahashi E (2001) Phase relation and physical properties of an Al-depleted komatiite to 23 GPa. Earth Planet Sci Lett 190:65–77CrossRefGoogle Scholar
  28. Nishihara Y, Takahashi E, Matsukage KN, Iguchi T, Nakayama K, Funakoshi K (2004a) Thermal equation of state of (Mg0.91Fe0.09)2SiO4 ringwoodite. Phys Earth Planet Int 143–144:33–46Google Scholar
  29. Nishihara Y, Aoki I, Takahashi E, Matsukage KN, Funakoshi K (2004b) Thermal equation of state of majorite with MORB composition. Phys Earth Planet Int (in press)Google Scholar
  30. Ono S (1998) Stability limits of hydrous minerals in sediment and mid-ocean ridge basalt compositions: implications for water transport in subduction zones. J Geophys Res 103:18253–18267CrossRefGoogle Scholar
  31. Ono S, Ito E, Katsura T (2001) Mineralogy of subducted basaltic crust (MORB) from 25 to 37 GPa, and chemical heterogeneity of the lower mantle. Earth Planet Sci Lett 190:57–63CrossRefGoogle Scholar
  32. Panero WR, Benedetti LR, Jeanloz R (2003) Equation of state of stishovite and interpretation of SiO2 shock-compression data. J Geophys Res 108:10.1029/2001JB001663Google Scholar
  33. Poirier J-P (2000) Introduction to the physics of the Earth’s interior, 2nd edn. Cambridge University Press, Cambridge UK, pp 27–62Google Scholar
  34. Ross NL, Shu J-F, Hazen RM (1990) High-pressure crystal chemistry of stishovite. Am Mineral 75:739–747Google Scholar
  35. Speziale S, Duffy TS (2002) Single-crystal elastic constants of fluorite (CaF2) to 9.3 GPa. Phys Chem Mineral 29:465–472CrossRefGoogle Scholar
  36. Suito K, Miyoshi M, Onodera A, Shimomura O, Kikegawa T (1996) Thermal expansion studies of stishovite at 10.5 GPa using synchrotron radiation. Phys Earth Planet Int 93:215–222CrossRefGoogle Scholar
  37. Takahashi E, Shimazaki T, Tsuzaki Y, Yoshida H (1993) Melting study of a peridotite KLB-1 to 6.5 GPa, and the origin of basaltic magmas. Phil Trans R Soc Lond A 342:105–120Google Scholar
  38. Vinet P, Ferrante J, Rose JH, Smith JR (1987) Compressibility of solids. J Geophys Res 92:9319–9325Google Scholar
  39. Wang Y, Weidner DJ, Zhang J, Gwanmesia GD, Liebermann RC (1998) Thermal equation of state of garnets along the pyrope-majorite join. Phys Earth Planet Int 105:59–71CrossRefMATHGoogle Scholar
  40. Watanabe H (1982) Thermochemical properties of synthetic high-pressure compounds relevant to the Earth’s mantle. In: Akimoto S, Manghnani MH (eds) High-pressure research in geophysics. Center for Academic Publications Japan, Tokyo, pp 441–464Google Scholar
  41. Weidner DJ, Bass JD, Ringwood AE, Sinclair W (1982) The single-crystal elastic moduli of stishovite. J Geophys Res 87:4740–4746Google Scholar
  42. Yamanaka T, Fukuda T, Tsuchiya J (2002) Bonding character of SiO2 stishovite under high pressures up to 30 GPa. Phys Chem Mineral 29:633–641CrossRefGoogle Scholar
  43. Zhang J, Li B, Utsumi W, Liebermann RC (1996) In situ X-ray observations of the coesite-stishovite transition: reversed phase boundary and kinetics. Phys Chem Minerals 23:1–10Google Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • Yu Nishihara
    • 1
    • 2
  • Keisuke Nakayama
    • 2
  • Eiichi Takahashi
    • 2
  • Tomohiro Iguchi
    • 2
  • Ken-ìchi Funakoshi
    • 3
  1. 1.Department of Geology and GeophysicsYale UniversityNew HavenUSA
  2. 2.Magma Factory, Earth and Planetary SciencesTokyo Institute of TechnologyTokyoJapan
  3. 3.Japan Synchrotron Radiation Research InstituteKouto, Mikazuki-cho, Sayo-gunHyogoJapan

Personalised recommendations