Equations of state and phase boundary for stishovite and CaCl2-type SiO2
-
Rebecca A. Fischer
, Andrew J. Campbell
, Bethany A. Chidester , Daniel M. Reaman , Elizabeth C. Thompson , Jeffrey S. Pigott , Vitali B. Prakapenka and Jesse S. Smith
Abstract
Silica is thought to be present in the Earth’s lower mantle in subducting plates, in addition to being a prototypical solid whose physical properties are of broad interest. It is known to undergo a phase transition from stishovite to the CaCl2-type structure at ~50–80 GPa, but the exact location and slope of the phase boundary in pressure-temperature space is unresolved. There have been many previous studies on the equation of state of stishovite, but they span a limited range of pressures and temperatures, and there has been no thermal equation of state of CaCl2-type SiO2 measured under static conditions. We have investigated the phase diagram and equations of state of silica at 21–89 GPa and up to ~3300 K using synchrotron X-ray diffraction in a laser-heated diamond-anvil cell. The phase boundary between stishovite and CaCl2-type SiO2 can be approximately described as T = 64.6(49)·P – 2830(350), with temperature T in Kelvin and pressure P in GPa. The stishovite data imply
Acknowledgments
We are grateful to the editor for handling our manuscript and to two anonymous reviewers for their constructive feedback. We thank Dion Heinz, Jacob Britz, and beamline scientist Clemens Prescher for assistance with running experiments. This work was supported by a National Science Foundation (NSF) Graduate Research Fellowship, Illinois Space Grant Consortium Graduate Research Fellowship, International Centre for Diffraction Data Ludo Frevel Crystallography Scholarship, University of Chicago Plotnick Fellowship, and NSF Postdoctoral Fellowship (EAR-1452626) to R.A.F. and NSF grant EAR-1427123 to A.J.C. J.S.P. was supported by the OSU Presidential Fellowship and NSF grant EAR-0955647 awarded to Wendy R. Panero and thanks CDAC for the HPCAT beamtime award. J.S.S. acknowledges the support of DOE-BES/DMSE under Award DE-FG02-99ER45775. Portions of this work were performed at GeoSoilEnviroCARS (Sector 13), Advanced Photon Source (APS), Argonne National Laboratory (ANL). GeoSoilEnviroCARS is supported by the NSF–Earth Sciences (EAR-1634415) and the Department of Energy (DOE), Geosciences (DE-FG02-94ER14466). Portions of this work were performed at HPCAT (Sector 16), APS, ANL. HPCAT operation is supported by DOE-NNSA under Award No. DE-NA0001974, with partial instrumentation funding by NSF. This research used resources of the APS, a U.S. DOE Office of Science User Facility operated for the DOE Office of Science by ANL under Contract No. DE-AC02-06CH11357.
References cited
Ahrens, T. J., Anderson, D.L., and Ringwood, A.E. (1969) Equations of state and crystal structures of high-pressure phases of shocked silicates and oxides. Reviews of Geophysics, 7, 667–707.10.1029/RG007i004p00667Search in Google Scholar
Ahrens, T.J., Takahashi, T., and Davies, G.F. (1970) A proposed equation of state of stishovite. Journal of Geophysical Research, 75, 310–316.10.1029/JB075i002p00310Search in Google Scholar
Akaogi, M., Oohata, M., Kojitani, H., and Kawaji, H. (2011) Thermodynamic properties of stishovite by low-temperature heat capacity measurements and the coesite-stishovite transition boundary. American Mineralogist, 96, 1325–1330.10.2138/am.2011.3748Search in Google Scholar
Akins, J.A., and Ahrens, T.J. (2002) Dynamic compression of SiO2: A new interpretation. Geophysical Research Letters, 29, 1394.10.1029/2002GL014806Search in Google Scholar
Anderson, D.L., and Kanamori, H. (1968) Shock-wave equations of state for rocks and minerals. Journal of Geophysical Research, 73, 6477–6502.10.1029/JB073i020p06477Search in Google Scholar
Andrault, D., Fiquet, G., Guyot, F., and Hanfland, M. (1998) Pressure-induced Landautype transition in stishovite. Science, 282, 720–724.10.1126/science.282.5389.720Search in Google Scholar
Andrault, D., Angel, R.J., Mosenfelder, J.L., and Le Bihan, T. (2003) Equation of state of stishovite to lower mantle pressures. American Mineralogist, 88, 301–307.10.2138/am-2003-2-307Search in Google Scholar
Angel, R.J. (2000) Equations of state. Reviews in Mineralogy and Geochemistry, 41, 35–59.10.1515/9781501508707-006Search in Google Scholar
Asahara, Y., Hirose, K., Ohishi, Y., Hirao, N., Ozawa, H., and Murikami, M. (2013) Acoustic velocity measurements for stishovite across the post-stishovite phase transition under deviatoric stress: Implications for the seismic features of subducting slabs in the mid-mantle. American Mineralogist, 98, 2053–2062.10.2138/am.2013.4145Search in Google Scholar
Bass, J.D., Liebermann, R.C., Weidner, D.J., and Finch, S.J. (1981) Elastic properties from acoustic and volume compression experiments. Physics of the Earth and Planetary Interiors, 25, 140–158.10.1016/0031-9201(81)90147-3Search in Google Scholar
Bassett, W.A., and Barnett, J.D. (1970) Isothermal compression of stishovite and coesite up to 85 kilobars at room temperature by X-ray diffraction. Physics of the Earth and Planetary Interiors, 3, 54–60.10.1016/0031-9201(70)90044-0Search in Google Scholar
Belonoshko, A.B., and Dubrovinsky, L.S. (1995) Molecular dynamics of stishovite melting. Geochimica et Cosmochimica Acta, 59, 1883–1889.10.1016/0016-7037(95)00071-7Search in Google Scholar
Birch, F. (1952) Elasticity and constitution of the Earth’s interior. Journal of Geophysical Research, 57, 227–286.10.1029/SP026p0031Search in Google Scholar
Brazhkin, V.V., McNeil, L.E., Grimsditch, M., Bendeliani, N.A., Dyuzheva, T.I., and Lityagina, L.M. (2005) Elastic constants of stishovite up to its amorphization temperature. Journal of Physics: Condensed Matter, 17, 1869–1875.10.1088/0953-8984/17/12/011Search in Google Scholar
Brown, J.M., and Shankland, T.J. (1981) Thermodynamic parameters in the Earth as determined from seismic profiles. Geophysical Journal of the Royal Astronomical Society, 66, 579–596.10.1111/j.1365-246X.1981.tb04891.xSearch in Google Scholar
Campbell, A.J., Seagle, C.T., Heinz, D.L., Shen, G., and Prakapenka, V.B. (2007) Partial melting in the iron–sulfur system at high pressure: A synchrotron X-ray diffraction study. Physics of the Earth and Planetary Interiors, 162, 119–128.10.1016/j.pepi.2007.04.001Search in Google Scholar
Campbell, A.J., Danielson, L., Righter, K., Seagle, C.T., Wang, Y., and Prakapanka, V.B. (2009) High pressure effects on the iron–iron oxide and nickel–nickel oxide oxygen fugacity buffers. Earth and Planetary Science Letters, 286, 556–564.10.1016/j.epsl.2009.07.022Search in Google Scholar
Chao, E.C.T., Fahey, J.J., Littler, J., and Milton, D.J. (1962) Stishovite, SiO2, a very high pressure new mineral from Meteor Crater, Arizona. Journal of Geophysical Research, 67, 419–421.10.1029/JZ067i001p00419Search in Google Scholar
Chung, D.H. (1974) General relationships among sound speeds. Physics of the Earth and Planetary Interiors, 8, 113–120.10.1016/0031-9201(74)90124-1Search in Google Scholar
Cohen, R.E. (1991) Bonding and elasticity of stishovite SiO2 at high pressure: Linearized augmented plane wave calculations. American Mineralogist, 76, 733–742.Search in Google Scholar
Davies, G.F. (1972) Equations of state and phase equilibria of stishovite and a coesite-like phase from shock-wave and other data. Journal of Geophysical Research, 77, 4920–4933.10.1029/JB077i026p04920Search in Google Scholar
Dewaele, A., Loubeyre, P., Occelli, F., Mezouar, M., Dorogokupets, P.I., and Torrent, M. (2006) Quasihydrostatic equation of state of iron above 2 Mbar. Physical Review Letters, 97, 215504.10.1103/PhysRevLett.97.215504Search in Google Scholar
Dorfman, S.M., Prakapenka, V.B., Meng, Y., amd Duffy, T.S. (2012) Intercomparison of pressure standards (Au, Pt, Mo, MgO, NaCl and Ne) to 2.5 Mbar. Journal of Geophysical Research, 117, B08210.10.1029/2012JB009292Search in Google Scholar
Dorogokupets, P.I., and Oganov, A.R. (2007) Ruby, metals, and MgO as alternative pressure scales: A semiempirical description of shock-wave, ultrasonic, X-ray, and thermochemical data at high temperatures and pressures. Physical Review B, 75, 024115.10.1103/PhysRevB.75.024115Search in Google Scholar
Driver, K.P., Cohen, R.E., Wu, Z., Militzer, B., López Rios, P., Towler, M.D., Needs, R.J., and Wilkins, J.W. (2010) Quantum Monte Carlo computations of phase stability, equations of state, and elasticity of high-pressure silica. Proceedings of the National Academy of Sciences, 107, 9519–9524.10.1073/pnas.0912130107Search in Google Scholar
Dubrovinsky, L.S., Saxena, S.K., Lazor, P., Ahuja, R., Eriksson, O., Wills, J.M., and Johansson, B. (1997) Experimental and theoretical identification of a new high-pressure phase of silica. Nature, 388, 362–365.10.1038/41066Search in Google Scholar
Dubrovinsky, L.S., Dubrovinskaia, N.A., Prakapenka, V., Seifert, F., Langenhorst, F., Dmitriev, V., Weber, H.-P., and Le Bihan, T. (2003) High-pressure and high-temperature polymorphism in silica. High Pressure Research, 23, 35–39.10.1080/0895795031000109706Search in Google Scholar
Dziewonski, A.M., and Anderson, D.L. (1981) Preliminary reference Earth model. Physics of the Earth and Planetary Interiors, 25, 297–356.10.1016/0031-9201(81)90046-7Search in Google Scholar
Fischer, R.A., Campbell, A.J., Shofner, G.A., Lord, O.T., Dera, P., and Prakapenka, V.B. (2011) Equation of state and phase diagram of FeO. Earth and Planetary Science Letters, 304, 496–502.10.1016/j.epsl.2011.02.025Search in Google Scholar
Fischer, R.A., Campbell, A.J., Caracas, R., Reaman, D.M., Dera, P., and Prakapenka, V.B. (2012) Equation of state and phase diagram of Fe–16Si alloy as a candidate component of Earth’s core. Earth and Planetary Science Letters, 357-358, 268–276.10.1016/j.epsl.2012.09.022Search in Google Scholar
Fischer, R.A., Campbell, A.J., Caracas, R., Reaman, D.M., Heinz, D.L., Dera, P., and Prakapenka, V.B. (2014) Equations of state in the Fe–FeSi system at high pressures and temperatures. Journal of Geophysical Research: Solid Earth, 119, 2810–2827.10.1002/2013JB010898Search in Google Scholar
Fischer, R.A., Nakajima, Y., Campbell, A.J., Frost, D.J., Harries, D., Langenhorst, F., Miyajima, N., Pollok, K., and Rubie, D.C. (2015) High pressure metal–silicate partitioning of Ni, Co, V., Cr, Si, and O. Geochimica et Cosmochimica Acta, 167, 177–194.10.1016/j.gca.2015.06.026Search in Google Scholar
Graham, E.K. (1973) On the compression of stishovite. Geophysical Journal of the Royal Astronomical Society, 32, 15–34.10.1111/j.1365-246X.1973.tb06517.xSearch in Google Scholar
Grocholski, B., Shim, S.-H., and Prakapenka, V.B. (2013) Stability, metastability, and elastic properties of a dense silica polymorph, seifertite. Journal of Geophysical Research: Solid Earth, 118, 1–13.10.1002/jgrb.50360Search in Google Scholar
Haines, J., Léger, J.M., Gorelli, F., and Hanfland, M. (2001) Crystalline post-quartz phase in silica at high pressure. Physical Review Letters, 87, 155503.10.1103/PhysRevLett.87.155503Search in Google Scholar
Hamann, D.R. (1996) Generalized gradient theory for silica phase transitions. Physical Review Letters, 76, 660–663.10.1103/PhysRevLett.76.660Search in Google Scholar
Hammersley, A.P., Svensson, S.O., Hanfland, M., Fitch, A.N., and Häusermann, D. (1996) Two-dimensional detector software: From real detector to idealised image or two-theta scan. High Pressure Research, 14, 235–248.10.1080/08957959608201408Search in Google Scholar
Hazen, R.M., Finger, L.W., Hemley, R.J., and Mao, H.K. (1989) High-pressure crystal chemistry and amorphization of α-quartz. Solid State Communications, 72, 507–511.10.1016/0038-1098(89)90607-8Search in Google Scholar
Hay, H., Ferlat, G., Casula, M., Seitsonen, A.P., and Mauri, F. (2015) Dispersion effects in SiO2 polymorphs: An ab initio study. Physical Review B, 92, 144111.10.1103/PhysRevB.92.144111Search in Google Scholar
Hemley, R.J. (1987) Pressure dependence of Raman spectra of SiO2 polymorphs: α-quartz, coesite, and stishovite. In M.H. Manghnani and Y. Syono, Eds., High-Pressure Research in Mineral Physics, p. 347–359. Terra Scientific, Tokyo/American Geophysical Union, Washington, D.C.10.1029/GM039p0347Search in Google Scholar
Hemley, R.J., Jephcoat, A.P., Mao, H.K., Ming, L.C., and Manghnani, M.H. (1988) Pressure-induced amorphization of crystalline silica. Nature, 334, 52–54.10.1038/334052a0Search in Google Scholar
Hemley, R.J., Shu, J., Carpenter, M.A., Hu, J., Mao, H.K., and Kingma, K.J. (2000) Strain/order parameter coupling in the ferroelastic transition in dense SiO2. Solid State Communications, 114, 527–532.10.1016/S0038-1098(00)00099-5Search in Google Scholar
Hirose, K., Takafuji, N., Sata, N., and Ohishi, Y. (2005) Phase transition and density of subducted MORB crust in the lower mantle. Earth and Planetary Science Letters, 237, 239–251.10.1016/j.epsl.2005.06.035Search in Google Scholar
Hirose, K., Morard, G., Sinmyo, R., Umemoto, K., Hernlund, J., Helffrich, G., and Lebrosse, S. (2017) Crystallization of silicon dioxide and compositional evolution of the Earth’s core. Nature, 543, 99–102.10.1038/nature21367Search in Google Scholar
Holm, B., and Ahuja, R. (1999) Ab initio calculation of elastic constants of SiO2 stishovite and α-quartz. Journal of Chemical Physics, 111, 2071–2074.10.1063/1.479475Search in Google Scholar
Ida, Y., Syono, Y., and Akimoto, S. (1967) Effect of pressure on the lattice parameters of stishovite. Earth and Planetary Science Letters, 3, 216–218.10.1016/0012-821X(67)90040-4Search in Google Scholar
Irifune, T., Ringwood, A.E., and Hibberson, W.O. (1994) Subduction of continental crust and terrigenous and pelagic sediments: An experimental study. Earth and Planetary Science Letters, 126, 351–368.10.1016/0012-821X(94)90117-1Search in Google Scholar
Ishii, T., Kojitani, H., and Akaogi, M. (2012) High-pressure phase transitions and subduction behavior of continental crust at pressure-temperature conditions up to the upper part of the lower mantle. Earth and Planetary Science Letters, 357–358, 31–41.10.1016/j.epsl.2012.09.019Search in Google Scholar
Ito, H., Kawada, K., and Akimoto, S.-I. (1974) Thermal expansion of stishovite. Physics of the Earth and Planetary Interiors, 8, 277–281.10.1016/0031-9201(74)90094-6Search in Google Scholar
Jiang, F., Gwanmesia, G.D., Dyuzheva, T.I., and Duffy, T.S. (2009) Elasticity of stishovite and acoustic mode softening under high pressure by Brillouin scattering. Physics of the Earth and Planetary Interiors, 172, 235–240.10.1016/j.pepi.2008.09.017Search in Google Scholar
Karki, B.B., Warren, M.C., Stixrude, L., Ackland, G.J., and Crain, J. (1997a) Ab initio studies of high-pressure structural transformations in silica. Physical Review B, 55, 3465–3471.10.1103/PhysRevB.55.3465Search in Google Scholar
Karki, B.B., Stixrude, L., and Crain, J. (1997b) Ab initio elasticity of three high-pressure polymorphs of silica. Geophysical Research Letters, 24, 3269–3272.10.1029/97GL53196Search in Google Scholar
Keskar, N.R., Troullier, N., Martins, J.L., and Chelikowsky, J.R. (1991) Structural properties of SiO2 in the stishovite structure. Physical Review B, 44, 4081–4088.10.1103/PhysRevB.44.4081Search in Google Scholar
Kingma, K.J., Hemley, R.J., Mao, H.-k., and Veblen, D.R. (1993) New high-pressure transformations in α-quartz. Physical Review Letters, 70, 3927–3930.10.1103/PhysRevLett.70.3927Search in Google Scholar
Kingma, K.J., Cohen, R.E., Hemley, R.J., and Mao, H.-k. (1995) Transformation of stishovite to a denser phase at lower-mantle pressures. Nature, 374, 243–245.10.1038/374243a0Search in Google Scholar
Komabayashi, T., and Fei, Y. (2010) Internally consistent thermodynamic database for iron to the Earth’s core conditions. Journal of Geophysical Research, 115, B03202.10.1029/2009JB006442Search in Google Scholar
Lacks, D.J., and Gordon, R.G. (1993) Calculations of pressure-induced phase transitions in silica. Journal of Geophysical Research, 98, 22147–22155.10.1029/93JB02448Search in Google Scholar
Lakshtanov, D.L., Sinogeikin, S.V., Litasov, K.D., Prakapenka, V.B., Hellwig, H., Wang, J., Sanches-Valle, C., Perrillat, J.-P., Chen, B., Somayazulu, M., Li, J., Ohtani, E., and Bass, J.D. (2007) The post-stishovite phase transition in hydrous alumina-bearing SiO2 in the lower mantle of the earth. Proceedings of the National Academy of Sciences, 104, 13,588–13,590.10.1073/pnas.0706113104Search in Google Scholar
Lee, C., and Gonze, X. (1995) The pressure-induced ferroelastic phase transition of SiO2 stishovite. Journal of Physics: Condensed Matter, 7, 3693–3698.Search in Google Scholar
Lee, C., and Gonze, X. (1997) SiO2 stishovite under high pressure: Dielectric and dynamical properties and the ferroelastic phase transition. Physical Review B, 56, 7321–7330.10.1103/PhysRevB.56.7321Search in Google Scholar
Li, B., Rigden, S.M., and Liebermann, R.C. (1996) Elasticity of stishovite at high pressure. Physics of the Earth and Planetary Interiors, 96, 113–127.10.1016/0031-9201(96)03144-5Search in Google Scholar
Liebermann, R.C., Ringwood, A.E., and Major, A. (1976) Elasticity of polycrystalline stishovite. Earth and Planetary Science Letters, 32, 127–140.10.1016/0012-821X(76)90051-0Search in Google Scholar
Liu, L.-g., Bassett, W.A., and Takahashi, T. (1974) Effect of pressure on the lattice parameters of stishovite. Journal of Geophysical Research, 79, 1160–1164.10.1029/JB079i008p01160Search in Google Scholar
Liu, J., Zhang, J., Flesch, L., Li, B., Weidner, D.J., and Liebermann, R.C. (1999) Thermal equation of state of stishovite. Physics of the Earth and Planetary Interiors, 112, 257–266.10.1016/S0031-9201(99)00037-0Search in Google Scholar
Luo, S.-N., Mosenfelder, J.L., Asimow, P.D., and Ahrens, T.J. (2002a) Direct shock wave loading of stishovite to 235 GPa: Implications for perovskite stability relative to an oxide assemblage at lower mantle conditions. Geophysical Research Letters, 29, 1691.10.1029/2002GL015627Search in Google Scholar
Luo, S.-N., Çaǧin, T., Strachan, A., Goddard, W.A. III, and Ahrens, T.J. (2002b) Molecular dynamics modeling of stishovite. Earth and Planetary Science Letters, 202, 147–157.10.1016/S0012-821X(02)00749-5Search in Google Scholar
Lyzenga, G.A., Ahrens, T.J., and Mitchell, A.C. (1983) Shock temperatures of SiO2 and their geophysical implications. Journal of Geophysical Research, 88, 2431–2444.10.1029/JB088iB03p02431Search in Google Scholar
Mao, H.K., Xu, J., and Bell, P.M. (1986) Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions. Journal of Geophysical Research, 91, 4673–4676.10.1029/JB091iB05p04673Search in Google Scholar
McQueen, R.G., Fritz, J.N., and Marsh, S.P. (1963) On the equation of state of stishovite. Journal of Geophysical Research, 68, 2319–2322.10.1029/JZ068i008p02319Search in Google Scholar
Meng, Y., Hrubiak, R., Rod, E., Boehler, R., and Shen, G. (2015) New developments in laser-heated diamond anvil cell with in situ synchrotron X-ray diffraction at High Pressure Collaborative Access Team. Review of Scientific Instruments, 86, 072201.10.1063/1.4926895Search in Google Scholar PubMed
Mizutani, H., Hamano, Y., and Akimoto, S.-i. (1972) Elastic-wave velocities of polycrystalline stishovite. Journal of Geophysical Research, 77, 3744–3749.10.1029/JB077i020p03744Search in Google Scholar
Murakami, M., Hirose, K., Ono, S., and Ohishi, Y. (2003) Stability of CaCl2-type and α-PbO2-type SiO2 at high pressure and temperature determined by in-situ X-ray measurements. Geophysical Research Letters, 30, 1207.10.1029/2002GL016722Search in Google Scholar
Nishihara, Y., Nakayama, K., Takahashi, E., Iguchi, T., and Funakoshi, K.-i. (2005) P-V-T equation of state of stishovite to the mantle transition zone conditions. Physics and Chemistry of Minerals, 31, 660–670.10.1007/s00269-004-0426-7Search in Google Scholar
Nomura, R., Hirose, K., Sata, N., and Ohishi, Y. (2010) Precise determination of post-stishovite phase transition boundary and implications for seismic heterogeneities in the mid–lower mantle. Physics of the Earth and Planetary Interiors, 183, 104–109.10.1016/j.pepi.2010.08.004Search in Google Scholar
Oganov, A.R., and Dorogokupets, P.I. (2004) Intrinsic anharmonicity in equations of state and thermodynamics of solids. Journal of Physics: Condensed Matter, 16, 1351–1360.10.1088/0953-8984/16/8/018Search in Google Scholar
Oganov, A.R., Gillan, M.J., and Price, G.D. (2005) Structural stability of silica at high pressures and temperatures. Physical Review B, 71, 064104.10.1103/PhysRevB.71.064104Search in Google Scholar
Olinger, B. (1976) The compression of stishovite. Journal of Geophysical Research, 81, 5341–5343.10.1029/JB081i029p05341Search in Google Scholar
Ono, S., Hirose, K., Murakami, M., and Isshiki, M. (2002) Post-stishovite phase boundary in SiO2 determined by in situ X-ray observations. Earth and Planetary Science Letters, 197, 187–192.10.1016/S0012-821X(02)00479-XSearch in Google Scholar
Panero, W.R., Benedetti, L.R., and Jeanloz, R. (2003) Equation of state of stishovite and interpretation of SiO2 shock-compression data. Journal of Geophysical Research, 108.Search in Google Scholar
Park, K.T., Terakura, K., and Matsui, Y. (1988) Theoretical evidence for a new ultrahigh-pressure phase of SiO2. Nature, 336, 670–672.10.1038/336670a0Search in Google Scholar
Perrillat, J.-P., Ricolleau, A., Daniel, I., Fiquet, G., Mezouar, M., Guignot, N., and Cardon, H. (2006) Phase transformations of subducted basaltic crust in the upmost lower mantle. Physics of the Earth and Planetary Interiors, 157, 139–149.10.1016/j.pepi.2006.04.001Search in Google Scholar
Pigott, J.S., Ditmer, D.A., Fischer, R.A., Reaman, D.M., Hrubiak, R., Meng, Y., Davis, R.J., and Panero, W.R. (2015) High-pressure, high-temperature equations of state using nanofabricated controlled-geometry Ni/SiO2/Ni double hot-plate samples. Geophysical Research Letters, 42, 10239–10247.10.1002/2015GL066577Search in Google Scholar
Prakapenka, V.B., Shen, G., Dubrovinsky, L.S., Rivers, M.L., and Sutton, S.R. (2004) High pressure induced phase transformation of SiO2 and GeO2: Difference and similarity. Journal of Physics and Chemistry of Solids, 65, 1537–1545.10.1016/j.jpcs.2003.12.019Search in Google Scholar
Prakapenka, V.B., Kubo, A., Kuznetsov, A., Laskin, A., Shkurikhin, O., Dera, P., Rivers, M.L., and Sutton, S.R. (2008) Advanced flat top laser heating system for high pressure research at GSECARS: Application to the melting behavior of germanium. High Pressure Research, 28, 225–235.10.1080/08957950802050718Search in Google Scholar
Prescher, C., and Prakapenka, V.B. (2015) DIOPTAS: A program for reduction of twodimensional X-ray diffraction data and data exploration. High Pressure Research, 35, 223–230.10.1080/08957959.2015.1059835Search in Google Scholar
Ricolleau, A., Perrillat, J.-P., Fiquet, G., Daniel, I., Matas, J., Addad, A., Menguy, N., Cardon, H., Mezouar, M., and Guignot, N. (2010) Phase relations and equation of state of a natural MORB: Implications for the density profile of subducted oceanic crust in the Earth’s lower mantle. Journal of Geophysical Research, 115, B08202.10.1029/2009JB006709Search in Google Scholar
Ross, N.L., Shu, J.-F., Hazen, R.M., and Gasparik, T. (1990) High-pressure crystal chemistry of stishovite. American Mineralogist, 75, 739–747.Search in Google Scholar
Sato, Y. (1977) Pressure-volume relationship of stishovite under hydrostatic compression. Earth and Planetary Science Letters, 34, 307–312.10.1016/0012-821X(77)90015-2Search in Google Scholar
Shen, G., and Lazor, P. (1995) Measurement of melting temperature of some minerals under lower mantle pressures. Journal of Geophysical Research, 100, 17699–17713.10.1029/95JB01864Search in Google Scholar
Shen, G., Rivers, M.L., Wang, Y., and Sutton, S.R. (2001) Laser heated diamond anvil cell system at the Advanced Photon Source for in situ X-ray measurements at high pressure and temperature. Review of Scientific Instruments, 72, 1273–1282.10.1063/1.1343867Search in Google Scholar
Shen, G., Prakapenka, V.B., Eng, P.J., Rivers, M.L., and Sutton, S.R. (2005) Facilities for high-pressure research with the diamond anvil cell at GSECARS. Journal of Synchrotron Radiation, 12, 642–649.10.1107/S0909049505022442Search in Google Scholar PubMed
Sherman, D.M. (1993) Equation of state and high-pressure phase transitions of stishovite (SiO2): Ab initio (periodic Hartree-Fock) results. Journal of Geophysical Research, 98, 11865–11873.10.1029/93JB00783Search in Google Scholar
Shieh, S.R., Duffy, T.S., and Li, B. (2002) Strength and elasticity of SiO2 across the stishovite-CaCl2-type structural phase boundary. Physical Review Letters, 89, 255507.10.1103/PhysRevLett.89.255507Search in Google Scholar PubMed
Shieh, S.R., Duffy, T.S., and Shen, G. (2005) X-ray diffraction study of phase stability in SiO2 at deep mantle conditions. Earth and Planetary Science Letters, 235, 273–282.10.1016/j.epsl.2005.04.004Search in Google Scholar
Singh, A.K., Andrault, D., and Bouvier, P. (2012) X-ray diffraction from stishovite under nonhydrostatic compression to 70 GPa: Strength and elasticity across the tetragonal → orthorhombic transition. Physics of the Earth and Planetary Interiors, 208–209, 1–10.10.1016/j.pepi.2012.07.003Search in Google Scholar
Striefler, M.E., and Barsch, G.R. (1976) Elastic and optical properties of stishovite. Journal of Geophysical Research, 81, 2453–2466.10.1029/JB081i014p02453Search in Google Scholar
Sugiyama, M., Endo, S., and Koto, K. (1987) The crystal structure of stishovite under pressure up to 6 GPa. Mineralogical Journal, 13, 455–66.10.2465/minerj.13.455Search in Google Scholar
Syracuse, E.M., van Keken, P.E., and Abers, G.A. (2010) The global range of subduction zone thermal models. Physics of the Earth and Planetary Interiors, 183, 73–90.10.1016/j.pepi.2010.02.004Search in Google Scholar
Togo, A., Oba, F., and Tanaka, I. (2008) First-principles calculations of the ferroelastic transition between rutile-type and CaCl2-type SiO2 at high pressures. Physical Review B, 78, 134106.10.1103/PhysRevB.78.134106Search in Google Scholar
Tse, J.S., Klug, D.D., and Allan, D.C. (1995) Structure and stability of several high-pressure crystalline polymorphs of silica. Physical Review B, 51, 16392–16395.10.1103/PhysRevB.51.16392Search in Google Scholar
Tsuchida, Y., and Yagi, T. (1989) A new, post-stishovite high-pressure polymorph of silica. Nature, 340, 217–220.10.1038/340217a0Search in Google Scholar
Tsuchida, Y., and Yagi, T. (1990) New pressure-induced transformations of silica at room temperature. Nature, 347, 267–269.10.1038/347267a0Search in Google Scholar
Tsuchiya, T., Caracas, R., and Tsuchiya, J. (2004) First principles determination of the phase boundaries of high-pressure polymorphs of silica. Geophysical Research Letters, 31, L11610.10.1029/2004GL019649Search in Google Scholar
Tsuneyuki, S., Tsukada, M., Aoki, H., and Matsui, Y. (1988) First-principles interatomic potential of silica applied to molecular dynamics. Physical Review Letters, 61, 869–872.10.1103/PhysRevLett.61.869Search in Google Scholar PubMed
Tsuno, K., Frost, D.J., and Rubie, D.C. (2013) Simultaneous partitioning of silicon and oxygen into the Earth’s core during early Earth differentiation. Geophysical Research Letters, 40, 66–71.10.1029/2012GL054116Search in Google Scholar
Wang, F., Tange, Y., Irifune, T., and Funakoshi, K.-i. (2012) P-V-T-equation of state of stishovite up to mid-lower mantle conditions. Journal of Geophysical Research, 117, B06209.Search in Google Scholar
Weidner, D.J., Bass, J.D., Ringwood, A.E., and Sinclair, W. (1982) The single-crystal elastic moduli of stishovite. Journal of Geophysical Research, 87, 4740–4746.10.1029/SP026p0459Search in Google Scholar
Yamanaka, T., Fukuda, T., and Tsuchiya, J. (2002) Bonding character of SiO2 stishovite under high pressures up to 30 GPa. Physics and Chemistry of Minerals, 29, 633–641.10.1007/s00269-002-0257-3Search in Google Scholar
Yamazaki, D., Ito, E., Yoshino, T., Tsujino, N., Yoneda, A., Guo, X., Xu, F., Higo, Y., and Funakoshi, K. (2014) Over 1 Mbar generation in the Kawai-type multianvil apparatus and its application to compression of (Mg0.92Fe0.08)SiO3 perovskite and stishovite. Physics of the Earth and Planetary Interiors, 228, 262–267.10.1016/j.pepi.2014.01.013Search in Google Scholar
Yang, R., and Wu, Z. (2014) Elastic properties of stishovite and the CaCl2-type silica at the mantle temperature and pressure: An ab initio investigation. Earth and Planetary Science Letters, 404, 14–21.10.1016/j.epsl.2014.07.020Search in Google Scholar
Yoneda, A., Corray, T., and Shatskiy, A. (2012) Single-crystal elasticity of stishovite: New experimental data obtained using high-frequency resonant ultrasound spectroscopy and a Gingham check structure model. Physics of the Earth and Planetary Interiors, 190–191, 80–86.10.1016/j.pepi.2011.11.003Search in Google Scholar
Zhang, J., Li, B., Utsumi, W., and Liebermann, R.C. (1996) In situ X-ray observations of the coesite–stishovite transition: Reversed phase boundary and kinetics. Physics and Chemistry of Minerals, 23, 1–10.10.1007/BF00202987Search in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Review
- Biosilica as a source for inspiration in biological materials science
- Ab initio study of water speciation in forsterite: Importance of the entropic effect
- Surface-modified phillipsite-rich tuff from the Campania region (southern Italy) as a promising drug carrier: An ibuprofen sodium salt trial
- Structure of low-order hemimorphite produced in a Zn-rich environment by cyanobacterium Leptolingbya frigida
- Formation of dolomite catalyzed by sulfate-driven anaerobic oxidation of methane: Mineralogical and geochemical evidence from the northern South China Sea
- Anisotropic growth of olivine during crystallization in basalts from Hawaii: Implications for olivine fabric development
- Melting experiments on Fe–Si–S alloys to core pressures: Silicon in the core?
- High-pressure phase behavior and equations of state of ThO2 polymorphs
- Mafic inputs into the rhyolitic magmatic system of the 2.08 Ma Huckleberry Ridge eruption, Yellowstone
- Toward the wider application of 29Si NMR spectroscopy to paramagnetic transition metal silicate minerals and glasses: Fe(II), Co(II), and Ni(II) silicates
- Equations of state and phase boundary for stishovite and CaCl2-type SiO2
- Insight on gem opal formation in volcanic ash deposits from a supereruption: A case study through oxygen and hydrogen isotopic composition of opals from Lake Tecopa, California, U.S.A
- Revisiting the crystal structure of dickite: X-ray diffraction, solid-state NMR, and DFT calculations study
- Temperature and pressure effects on the partitioning of V and Sc between clinopyroxene and silicate melt: Implications for mantle oxygen fugacity
- Letter
- Why natural monazite never becomes amorphous: Experimental evidence for alpha self-healing
- New Mineral Names
- Book Review
- Book Review: Glaciovolcanism on Earth and Mars: Products, Processes and Paleoenvironmental Significance
Articles in the same Issue
- Review
- Biosilica as a source for inspiration in biological materials science
- Ab initio study of water speciation in forsterite: Importance of the entropic effect
- Surface-modified phillipsite-rich tuff from the Campania region (southern Italy) as a promising drug carrier: An ibuprofen sodium salt trial
- Structure of low-order hemimorphite produced in a Zn-rich environment by cyanobacterium Leptolingbya frigida
- Formation of dolomite catalyzed by sulfate-driven anaerobic oxidation of methane: Mineralogical and geochemical evidence from the northern South China Sea
- Anisotropic growth of olivine during crystallization in basalts from Hawaii: Implications for olivine fabric development
- Melting experiments on Fe–Si–S alloys to core pressures: Silicon in the core?
- High-pressure phase behavior and equations of state of ThO2 polymorphs
- Mafic inputs into the rhyolitic magmatic system of the 2.08 Ma Huckleberry Ridge eruption, Yellowstone
- Toward the wider application of 29Si NMR spectroscopy to paramagnetic transition metal silicate minerals and glasses: Fe(II), Co(II), and Ni(II) silicates
- Equations of state and phase boundary for stishovite and CaCl2-type SiO2
- Insight on gem opal formation in volcanic ash deposits from a supereruption: A case study through oxygen and hydrogen isotopic composition of opals from Lake Tecopa, California, U.S.A
- Revisiting the crystal structure of dickite: X-ray diffraction, solid-state NMR, and DFT calculations study
- Temperature and pressure effects on the partitioning of V and Sc between clinopyroxene and silicate melt: Implications for mantle oxygen fugacity
- Letter
- Why natural monazite never becomes amorphous: Experimental evidence for alpha self-healing
- New Mineral Names
- Book Review
- Book Review: Glaciovolcanism on Earth and Mars: Products, Processes and Paleoenvironmental Significance