Physics and Chemistry of Minerals

, Volume 32, Issue 8–9, pp 594–602 | Cite as

High-temperature and high-pressure equation of state for the hexagonal phase in the system NaAlSiO4 – MgAl2O4

  • T. Shinmei
  • T. Sanehira
  • D. Yamazaki
  • T. Inoue
  • T. Irifune
  • K. Funakoshi
  • A. Nozawa
Original Paper


Thermal equation of state of an Al-rich phase with Na1.13Mg1.51Al4.47Si1.62O12 composition has been derived from in situ X-ray diffraction experiments using synchrotron radiation and a multianvil apparatus at pressures up to 24 GPa and temperatures up to 1,900 K. The Al-rich phase exhibited a hexagonal symmetry throughout the present pressure–temperature conditions and the refined unit-cell parameters at ambient condition were: a=8.729(1) Å, c=2.7695(5) Å, V 0=182.77(6) Å3 (Z=1; formula weight=420.78 g/mol), yielding the zero-pressure density ρ0=3.823(1) g/cm3 . A least-square fitting of the pressure-volume-temperature data based on Anderson’s pressure scale of gold (Anderson et al. in J Appl Phys 65:1534–543, 1989) to high-temperature Birch-Murnaghan equation of state yielded the isothermal bulk modulus K 0=176(2) GPa, its pressure derivative K 0 =4.9(3), temperature derivative (∂K T /∂T) P =−0.030(3) GPa K−1 and thermal expansivity α(T)=3.36(6)×10−5+7.2(1.9)×10−9 T, while those values of K 0=181.7(4) GPa, (∂K T /∂T) P =−0.020(2) GPa K−1 and α(T)=3.28(7)×10−5+3.0(9)×10−9 T were obtained when K 0 was assumed to be 4.0. The estimated bulk density of subducting MORB becomes denser with increasing depth as compared with earlier estimates (Ono et al. in Phys Chem Miner 29:527–531 2002; Vanpeteghem et al. in Phys Earth Planet Inter 138:223–230 2003; Guignot and Andrault in Phys Earth Planet Inter 143–44:107–128 2004), although the difference is insignificant (<0.6%) when the proportions of the hexagonal phase in the MORB compositions (∼20%) are taken into account.


Al-rich phase Hexagonal phase In situ X-ray diffraction High-temperature equation of state MORB density 



We are grateful to S. Ono, M. Matsui, F. Brunet and the reviewers for valuable comments on the manuscript. We also thank T. Kunimoto, A. Yamada and Y. Sueda for the help with synchrotron radiation experiments. The synchrotron radiation experiments were performed at SPring-8 with the approval of the Japan Synchrotron Radiation Research Institute (JASRI) (Proposal No. 2003B0582-ND2b-np).


  1. Akaogi M, Hamada Y, Suzuki T, Kobayashi M, Okada M (1999) High pressure transitions in the system MgAl2O4–CaAl2O4: a new hexagonal aluminous phase with implication for the lower mantle. Phys Earth Planet Inter 115:67–77CrossRefGoogle Scholar
  2. Anderson OL, Isaak DG, Yamamoto S (1989) Anharmonicity and the equation of state for gold. J Appl Phys 65:1534–1543CrossRefGoogle Scholar
  3. Decker BF, Kasper JS (1957) The structure of calcium ferrite. Acta Crystallogr 10:332–337CrossRefGoogle Scholar
  4. Fei Y, Li J, Hirose K, Minarik W, Van Orman J, Sanloup C, van Westrenen W, Komabayashi T, Funakoshi K (2004) A critical evaluation of pressure scales at high temperatures by in situ X-ray diffraction measurements. Phys Earth Planet Inter 143–144:515–526CrossRefGoogle Scholar
  5. Funamori N, Yagi T, Utsumi W, Kondo T, Uchida T, Funamori M (1996) Thermoelastic properties of MgSiO3 perovskite determined by in situ X ray observations up to 30 GPa and 2,000 K. J Geophys Res 101:8257–8269CrossRefGoogle Scholar
  6. Funamori N, Jeanloz R, Miyajima N, Fujino K (2000) Mineral assemblages of basalt in the lower mantle. J Geophys Res 105:26037–26043CrossRefGoogle Scholar
  7. Gasparik T, Tripathi A, Parise J (2000) Structure of a new Al-rich phase, [K, Na]0.9[Mg, Fe]2[Mg, Fe, Al, Si]6O12. Am Mineral 85:613–618Google Scholar
  8. Guignot N, Andrault D (2004) Equations of state of Na-K-Al host phases and implications for MORB density in the lower mantle. Phys Earth Planet Inter 143–144:107–128CrossRefGoogle Scholar
  9. Hirose K, Fei Y (2002) Subsolidus and melting phase relations of basaltic composition in the uppermost lower mantle. Geochim Cosmochim Acta 66:2099–2108CrossRefGoogle Scholar
  10. Hirose K, Fei Y, Ma Y, Mao H (1999) The fate of subducted basaltic crust in the Earth’s lower mantle. Nature 397:53–56CrossRefGoogle Scholar
  11. Irifune T (2002) Application of synchrotron radiation and Kawai-type apparatus to various studies in high-pressure mineral physics. Mineral Mag 66:769–790CrossRefGoogle Scholar
  12. Irifune T, Ringwood A (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
  13. Irifune T, Ringwood A, Hibberson W (1994) Subduction of continental crust and terrigenous and pelagic sediments: and experimental study. Earth Planet Sci Lett 126:351–368CrossRefGoogle Scholar
  14. Kesson S, Fiz Gerald J, Shelly J (1994) Mineral chemistry and density of subducted basaltic crust at lower-mantle pressures. Nature 372:767–769CrossRefGoogle Scholar
  15. Litasov KD, Ohtani E (2005) Phase relations in hydrous MORB at 18–28 GPa: implications for heterogeneity of the lower mantle. Phys Earth Planet Inter 150:239–263CrossRefGoogle Scholar
  16. Litasov K, Ohtani E, Suzuki A, Kawazoe T, Funakoshi K (2004) Absence of density crossover between basalt and peridotite in the cold slabs passing through 660 km discontinuity. Geophys Res Lett 31: L24607, doi:24610.21029/22004GL021306Google Scholar
  17. Liu J, Zhang J, Flesch L, Li B, Weidner D, Liebermann R (1999) Thermal equation of state of stishovite. Phys Earth Planet Inter 112:257–266CrossRefGoogle Scholar
  18. Matsui M, Shima N (2003) Electronic thermal pressure and equation of state of gold at high temperature and high pressure. J Appl Phys 93:9679–9682CrossRefGoogle Scholar
  19. Miura H, Hamada Y, Suzuki T, Akaogi M, Miyajima N, Fujino K (2000) Crystal structure of CaMg2Al6O12, a new Al-rich high pressure form. Am Mineral 85:1799–1803Google Scholar
  20. Miyajima N, Fujino K, Funamori N, Kondo T, Yagi T (1999) Garnet-perovskite transformation under conditions of the Earth’s lower mantle: an analytical transmission electron microscopy study. Phys Earth Planet Inter 116:117–131CrossRefGoogle Scholar
  21. Miyajima N, Yagi T, Hirose K, Kondo T, Fujino K, Miura H (2001) Potential host phase of aluminum and potassium in the Earth’s lower mantle. Am Mineral 86:740–746Google Scholar
  22. Morishima E, Ohtani E, Kato T, Kubo T, Suzuki A, Kikegawa T, Shimomura O (1999) The high-pressure and temperature equation of state of a majorite solid solution in the system of Mg4Si4O12–Mg3Al2Si3O12. Phys Chem Miner 27:3–10CrossRefGoogle Scholar
  23. 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
  24. Ono S, Hirose K, Isshiki M, Mibe K, Saito Y (2002) Equation of state of hexagonal aluminous phase in basaltic composition to 63 GPa at 300 K. Phys Chem Miner 29:527–531CrossRefGoogle Scholar
  25. Ono S, Ohishi Y, Isshiki M, Watanuki T (2005) In situ X-ray observations of phase assemblages in peridotite and basalt compositions at lower mantle conditions: Implications for density of subducted oceanic plate. J Geophys Res 110: B02208, doi:02210.01029/02004JB003196Google Scholar
  26. Sanehira et al (2005) In situ X-ray diffraction study of an aluminous phase in MORB under lower mantle conditions. Phys Chem Miner (in press)Google Scholar
  27. Saxena S, Zhang J (1990) Thermochemical and pressure-volume-temperature systematics of data on solids, examples: Tungsten and MgO. Phys Chem Miner 17:45–51CrossRefGoogle Scholar
  28. Shim S-H, Duffy TS, Kenichi T (2002) Equation of state of gold and its application to the phase boundaries near 660 km depth in Earth’s mantle. Earth Planet Sci Lett 203:729–739CrossRefGoogle Scholar
  29. Tsuchiya T (2003) First-principles prediction of the P-V-T equation of state of gold and the 660-km discontinuity in Earth’s mantle. J Geophys Res 108: 2462, doi:2410.1029/2003JB002446Google Scholar
  30. Vanpeteghem C, Ohtani E, Litasov K, Kondo T, Watanuki T, Isshiki M, Takemura K (2003) The compressibility of hexagonal Al-rich NAL phase: similarities and differences with calcium ferrite-type (CF) phase with implications for the lower mantle. Phys Earth Planet Inter 138:223–230CrossRefGoogle Scholar
  31. Wang Y, Weidner D, Guyot F (1996) Thermal equation of state of CaSiO3 perovskite. J Geophys Res 101:661–672CrossRefGoogle Scholar
  32. Wang Y, Weidner DJ, Meng Y (1998) Advances in equation-of-state measurements in SAM-85. In: Manghnani MH, Yagi T (eds) Properties of Earth and planetary materials at high pressure and temperature, Geophysical monograph series, vol 101. American Geophysical Union, Washington, pp 365–372Google Scholar
  33. Zhang J, Weidner DJ (1999) Thermal equation of state of aluminum-enriched silicate perovskite. Science 284:782–784CrossRefPubMedGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • T. Shinmei
    • 1
  • T. Sanehira
    • 1
  • D. Yamazaki
    • 1
  • T. Inoue
    • 1
  • T. Irifune
    • 1
  • K. Funakoshi
    • 2
  • A. Nozawa
    • 2
  1. 1.Geodynamics Research CenterEhime UniversityMatsuyamaJapan
  2. 2.Japan Synchrotron Radiation Research InstituteHyogoJapan

Personalised recommendations