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

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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 K ′ T =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 (∂K T /∂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 /∂T 2) 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.

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References

  • 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 100:22337–22347

    Article  Google Scholar 

  • Anderson OL (1984) A universal thermal equation-of-state. J Geodyn 1:185–214

    Article  MATH  Google Scholar 

  • Anderson OL (1999) The volume dependence of thermal pressure in perovskite and other minerals. Phys Earth Planet Int 112:267–283

    Article  Google Scholar 

  • Anderson OL, Isaak DG, Yamamoto S (1989) Anharmonicity and the equation of state for gold. J Appl Phys 65:1534–1543

    Article  Google Scholar 

  • Andrault D, Angel RJ, Mosenfelder JL, Le Bihan T (2003) Equation of state of stishovite to lower mantle pressures. Am Mineral 88:301–307

    Google Scholar 

  • Andrault D, Fiquet G, Guyot F, Hanfland M (1998) Pressure-induced Landau-type transition in stishovite. Science 282:720–724

    Article  Google Scholar 

  • Aoki I, Takahashi E (2004) Density of MORB eclogite in the upper mantle. Phys Earth Planet Int 143–144:129–143

    Google Scholar 

  • Carpenter MA, Hemley RJ, Mao H-k (2000) High-pressure elasticity of stishovite and the P 42/ mnm = Pnnm phase transition. J Geophys Res 105:10807–10816

    Article  Google Scholar 

  • Duffy TS, Anderson DL (1989) Seismic velocities in mantle minerals and the mineralogy of the upper mantle. J Geophys Res 94:1895–1912

    Google Scholar 

  • 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 13:146–151

    Article  Google Scholar 

  • 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 98:17–29

    Article  Google Scholar 

  • 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 41–81

  • 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 117:101–110

    Article  Google Scholar 

  • Irifune T, Ringwood AE, Hibberson WO (1994) Subduction of continental crust and terrigenous and pelagic sediments: an experimental study. Earth Planet Sci Lett 126:351–368

    Article  Google Scholar 

  • Irifune T, Sekine T, Ringwood AE, Hibberson WO (1986) The eclogite-garnetite transformation at high pressure and some geophysical implications. Earth Planet Sci Lett 77:245–256

    Article  Google Scholar 

  • Isaak DG, Carnes JD, Anderson OL, Cynn H, Hake E (1998) Elasticity of TiO2 rutile to 1,800 K. Phys Chem Mineral 26:31–43

    Article  Google Scholar 

  • Ito H, Kawada K, Akimoto S-i (1974) Thermal expansion of stishovite. Phys Earth Planet Int 8:277–281

    Article  Google Scholar 

  • Jackson I, Rigden SM (1996) Analysis of P - V - T data: constraints on the thermoelastic properties of high-pressure minerals. Phys Earth Planet Int 96:85–112

    Article  Google Scholar 

  • Karki BB, Stixrude L, Crain J (1997b) Ab initio elasticity of three high-pressure polymorphs of silica. Geophys Res Lett 24:3269–3272

    Article  Google Scholar 

  • 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 

  • Kesson SE, Fitz Gerald JD, Shelley JMG (1994) Mineral chemistry and density of subducted basaltic crust at lower-mantle pressures. Nature 372:767–769

    Article  Google Scholar 

  • Kingma KJ, Cohen RE, Hemley RJ, Mao H-k (1995) Transformation of stishovite to a denser phase at lower-mantle pressures. Nature 374:243–245

    Article  Google Scholar 

  • Li B, Rigden SM, Liebermann RC (1996) Elasticity of stishovite at high pressure. Phys Earth Planet Int 96:113–127

    Article  MATH  Google Scholar 

  • Liu J, Zhang J, Flesch L, Li B, Weidner DJ, Liebermann RC (1999) Thermal equation of state of stishovite. Phys Earth Planet Int 112:257–266

    Article  Google Scholar 

  • 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 29:10.1029/2002GL015627

    Article  Google Scholar 

  • 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 30:10.1029/2002GL016722

    Article  Google Scholar 

  • Nishihara Y, Takahashi E (2001) Phase relation and physical properties of an Al-depleted komatiite to 23 GPa. Earth Planet Sci Lett 190:65–77

    Article  Google Scholar 

  • 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 143–144:33–46

    Google Scholar 

  • 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)

  • 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 103:18253–18267

    Article  Google Scholar 

  • 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 190:57–63

    Article  Google Scholar 

  • Panero WR, Benedetti LR, Jeanloz R (2003) Equation of state of stishovite and interpretation of SiO2 shock-compression data. J Geophys Res 108:10.1029/2001JB001663

    Google Scholar 

  • Poirier J-P (2000) Introduction to the physics of the Earth’s interior, 2nd edn. Cambridge University Press, Cambridge UK, pp 27–62

  • Ross NL, Shu J-F, Hazen RM (1990) High-pressure crystal chemistry of stishovite. Am Mineral 75:739–747

    Google Scholar 

  • Speziale S, Duffy TS (2002) Single-crystal elastic constants of fluorite (CaF2) to 9.3 GPa. Phys Chem Mineral 29:465–472

    Article  Google Scholar 

  • 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 93:215–222

    Article  Google Scholar 

  • 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 342:105–120

    CAS  Google Scholar 

  • Vinet P, Ferrante J, Rose JH, Smith JR (1987) Compressibility of solids. J Geophys Res 92:9319–9325

    Google Scholar 

  • 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 105:59–71

    Article  MATH  Google Scholar 

  • 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 441–464

  • Weidner DJ, Bass JD, Ringwood AE, Sinclair W (1982) The single-crystal elastic moduli of stishovite. J Geophys Res 87:4740–4746

    Google Scholar 

  • Yamanaka T, Fukuda T, Tsuchiya J (2002) Bonding character of SiO2 stishovite under high pressures up to 30 GPa. Phys Chem Mineral 29:633–641

    Article  Google Scholar 

  • 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 23:1–10

    Google Scholar 

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Acknowledgements

We thank M. Shindo for his helpful support for the in situ X-ray diffraction experiments, J. Tuff for reading the manuscript and T. Tsuchiya and J. Korenaga for helpful comments. P - V - T measurements were conducted by K. Nakayama as a part of his MSc Thesis. Constructive comments by D. Andrault and I. Jackson were helpful. The in situ X-ray diffraction experiments were performed by using the SPEED-1500 system at BL04B1 in SPring-8 (proposal no. 2001B0486-CD-np). This work was supported by the grant 12002006 from the Ministry of Education, Culture, Sports, Science, and Technology Japan. Y.N. is grateful for the Research Fellowships of the Japan Society of the Promotion of Science for Young Scientists.

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Authors and Affiliations

  1. Department of Geology and Geophysics, Yale University, New Haven, CT, 06520, USA

    Yu Nishihara

  2. Magma Factory, Earth and Planetary Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, 152-8551, Tokyo, Japan

    Yu Nishihara, Keisuke Nakayama, Eiichi Takahashi & Tomohiro Iguchi

  3. Japan Synchrotron Radiation Research Institute, Kouto, Mikazuki-cho, Sayo-gun, 679-5198, Hyogo, Japan

    Ken-ìchi Funakoshi

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  1. Yu Nishihara
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  2. Keisuke Nakayama
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  3. Eiichi Takahashi
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  4. Tomohiro Iguchi
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  5. Ken-ìchi Funakoshi
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Correspondence to Yu Nishihara.

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Nishihara, Y., Nakayama, K., Takahashi, E. et al. P - V - T equation of state of stishovite to the mantle transition zone conditions. Phys Chem Minerals 31, 660–670 (2005). https://doi.org/10.1007/s00269-004-0426-7

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