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Pressure-volume-temperature behavior of fayalite based on static compression measurements at 400° C

Abstract

Twenty-one energy-dispersive X-ray diffraction spectra for fayalite at 400° C constitute the basis for an elevated-temperature static compression isotherm for this important silicate mineral. A Murnaghan regression of the resulting molar volumes yields 103.8 GPa and 7.1 for the 400° C, room-pressure values of the isothermal bulk modulus (K 0) and its first pressure derivative (K0), respectively. When compared to the room-temperature static compression isotherm of Yagi et al. (1975), our 400° C value for K 0 yields 5.4 ×10−2 GPa/deg for (∂K/∂T)00. When combined with literature volume data, our measurements indicate that the fayalite isochores are strongly concave toward the pressure axis [( 2 T/∂P 2) v <0].

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References

  • Akimoto S, Fujisawa H, Katsura T (1965) The olivine-spinel transition in Fe2SiO4 and Ni2SiO4. J Geophys Res 70:1969–1977

    Google Scholar 

  • Akimoto S, Komada E, Kushiro I (1967) Effect of pressure on the melting of olivine and spinel polymorph of Fe2SiO4. J Geophys 72:679–686

    Google Scholar 

  • Akimoto S, Yagi T, Inoue K (1977) High temperature-pressure phase boundaries in silicate systems using in situ X-ray diffraction. In: Manghnani MH, Akimoto S (eds) High-pressure Research: Applications in Geophysics. Academic Press, New York, pp 585–602

    Google Scholar 

  • Cavaleri ME (1984) Volume and entropy systematics of materials at high pressures and temperatures by heated diamond-anvil energy-dispersive techniques. PhD Dissertation, University of Minnesota, Minneapolis

    Google Scholar 

  • Cavaleri ME, Stout JH (1988) Optimization and coupled absorption effects in diamond anvil, EDXRD measurements. X-ray Spectrom 17:55–61

    Google Scholar 

  • Cavaleri ME, Plymate TG, Stout JH (1988) A pressure-volumetemperature equation of state for Sn(β) by energy dispersive X-ray diffraction in a heated diamond anvil cell. J Phys Chem Solids 49:945–956

    Google Scholar 

  • Chung DH (1971) Elasticity and equations of state of olivines in the Mg2SiO4-Fe2SiO4 system. Geophys J 25:511–538

    Google Scholar 

  • Demarest HH Jr, Cassell CR, Jamieson JC (1978) The high pressure phase transitions in KF and RbF. J Phys Chem Solids 39:1211–1215

    Google Scholar 

  • Fujino K, Sasaki S, Takeuchi Y, Sadanaga R (1981) X-ray determination of electron distributions in forsterite, fayalite, and tephroite. Acta Crystallogr B37:513–518

    Google Scholar 

  • Graham EK, Schwab JA, Sopkin SM, Takei H (1988) The pressure and temperature dependence of the elastic properties of singlecrystal fayalite Fe2SiO4. Phys Chem Minerals 16:186–198

    Google Scholar 

  • Hazen RM (1977) Effects of temperature and pressure on the crystal structure of ferromagnesian olivine. Am Mineral 62:286–295

    Google Scholar 

  • Hazen RM, Finger LW (1981a) Calcium fluoride as an internal pressure standard in high-pressure/high-temperature crystallography. J Appl Crystallogr 14:234–236

    Google Scholar 

  • Hazen RM, Finger LW (1981b) Crystal structure of diopside at high temperature and pressure. Carnegie Institution of Washington Yearbook 80:373–375

    Google Scholar 

  • Jamieson JC, Fritz JN, Manghnani MH (1982) Pressure measurement at high temperature in X-ray diffraction studies: gold as a primary standard. In: Akimoto S, Manghnani MH (eds) Advances in Earth and Planetary Sciences, vol 12: High-pressure Research in Geophysics. Center for Academic Publications, Tokyo, pp 27–48

    Google Scholar 

  • Kudoh Y, Takeda H (1986) Single crystal X-ray diffraction study on the bond compressibility of fayalite, Fe2SiO4, and rutile, TiO2, under high pressure. Physica 139–140B:333–336

    Google Scholar 

  • Manghnani MH, Ming LC, Balogh J, Skelton EF, Qadri SB, Schiferl D (1984) Use of internal pressure calibrants in situ in X-ray diffraction measurements at high pressure and temperature: review and recent results. High Temp — High Pressures 16:563–571

    Google Scholar 

  • Meyer SL (1975) Data analysis for scientists and engineers. J Wiley, New York

    Google Scholar 

  • Murnaghan FD (1944) The compressibility of media under extreme pressures. Proceedings of the National Academy of Sciences 30:244–247

    Google Scholar 

  • Olinger B (1976) The compression of stishovite. J Geophys Res 81:5341–5343

    Google Scholar 

  • Olinger B (1977) Compression studies of forsterite (Mg2SiO4) and enstatite (MgSiO3). In: Manghnani MH, Akimoto S (eds) Highpressure Research: Applications in Geophysics. Academic Press, New York, pp 325–334

    Google Scholar 

  • Olinger B, Halleck PM (1974) Redetermination of the relative compressions of the cell edges of olivine. J Geophys Res 79:5535–5536

    Google Scholar 

  • Olinger B, Halleck PM (1976) The compression of α quartz. J Geophys Res 81:5711–5714

    Google Scholar 

  • Olinger B, Jamieson JC (1970) Relative compression of NaF and NaCl to 130 kilobars. High Temp — High Pressures 2:513–520

    Google Scholar 

  • Pathak PD, Trivedi JM, Vasavada NG (1973) Thermal expansion of NaF, KBr and RbBr and temperature variation of the frequency spectrum of NaF. Acta Crystallogr A29:477–479

    Google Scholar 

  • Plymate TG (1986) Equations of state of the polymorphs of Sn and Fe2SiO4 determined by in situ energy-dispersive X-ray diffraction in a heated diamond-anvil pressure cell. PhD Dissertation, University of Minnesota, Minneapolis

    Google Scholar 

  • Plymate TG, Stout JH (1986) A temperature-corrected Murnaghan equation of state for P-V-T surfaces (abs). EOS: Transactions of the American Geophysical Union 67:1217

    Google Scholar 

  • Plymate TG, Stout JH (1989) A five-parameter temperature-corrected Murnaghan equation for P-V-T surfaces. J Geophys Res B94:9477–9483

    Google Scholar 

  • Plymate TG, Stout JH, Cavaleri ME (1988) Pressure-volume-temperature behavior and heterogeneous equilibria of the nonquenchable body-centered tetragonal polymorph of metallic tin. J Phys Chem Solids 49:1339–1348

    Google Scholar 

  • Ralph RL, Hazen RM, Finger LW (1981) Cell parameters of orthoenstatite at high temperature and pressure. Carnegie Institution of Washington Yearbook 80:376–378

    Google Scholar 

  • Sato Y (1977) Equation of state of mantle minerals determined through high-pressure X-ray study. In: Manghnani MH, Akimoto S (eds) High-pressure Research: Applications in Geophysics. Academic Press, New York, pp 307–323

    Google Scholar 

  • Sato Y, Akimoto S (1979) Hydrostatic compression of four corundum-type compounds: α-Al2O3, V2O3, Cr2O3, and α-Fe2O3. J Appl Phys 50:5285–5291

    Google Scholar 

  • Sato-Sorensen Y (1983) Phase transitions and equations of state for the sodium halides: NaF, NaCl, NaBr, and NaI. J Geophys Res B88:3543–3548

    Google Scholar 

  • Spieglan M, Jamieson JC (1974) Relative compression of NaF and NaCl to 110 kilobars; a redetermination. High Temp — High Pressures 6:479–481

    Google Scholar 

  • Sumino Y (1979) The elastic constants of Mn2SiO4, Fe2SiO4, and Co2SiO4, and the elastic properties of olivine group minerals at high temperature. J Phys Earth 27:209–238

    Google Scholar 

  • Sumino Y, Anderson OL (1984) Elastic constants of minerals. In: Carmichael RS (ed) CRC Handbook of Physical Properties of Rocks, Volume III. CRC Press, Boca Raton, pp 39–138

    Google Scholar 

  • Sumino Y, Nishizawa O, Goto T, Ohno I, Ozima M (1977) Temperature variation of elastic constants of single-crystal forsterite between -190° and 400° C. J Phys Earth 25:377–392

    Google Scholar 

  • Suzuki I, Seya K, Takei H, Sumino Y (1981) Thermal expansion of fayalite, Fe2SiO4. Phys Chem Minerals 7:60–63

    Google Scholar 

  • Suzuki I, Takei H, Anderson OL (1984) Thermal expansion of forsterite, Mg2SiO4. In: Hahn TA (ed) Thermal Expansion 8. Plenum Press, New York, pp 79–88

    Google Scholar 

  • Takahashi T (1970) Isothermal compression of fayalite at room temperature (abs). EOS: Transactions of the American Geophysical Union 51:827

    Google Scholar 

  • Yagi T (1977) Isothermal compression of sodium fluoride to 250 kbar. Carnegie Institution of Washington Yearbook 76:528–529

    Google Scholar 

  • Yagi T (1978) Experimental determination of thermal expansivity of several alkali halides at high pressures. J Phys Chem Solids 39:563–571

    Google Scholar 

  • Yagi T, Akimoto S (1980) Phase boundary and transition rate of orthorhombic-cubic transformation in PbO2. J Geophys Res B85:6991–6995

    Google Scholar 

  • Yagi T, Ida Y, Sato Y, Akimoto S (1975) Effect of hydrostatic pressure on the lattice parameters of Fe2SiO4 olivine up to 70 kbar. Phys Earth Planet Int 10:348–354

    Google Scholar 

  • Yagi T, Akaogi M, Shimomura O, Suzuki T, Akimoto S (1987) In situ observation of the olivine-spinel phase transition in Fe2SiO4 using synchrotron radiation. J Geophys Res 92:6207–6213

    Google Scholar 

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This is publication number 1125 of the School of Earth Sciences, Department of Geology and Geophysics, University of Minnesota, Minneapolis, MN 55455, USA

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Plymate, T.G., Stout, J.H. Pressure-volume-temperature behavior of fayalite based on static compression measurements at 400° C. Phys Chem Minerals 17, 212–219 (1990). https://doi.org/10.1007/BF00201452

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  • DOI: https://doi.org/10.1007/BF00201452

Keywords

  • Silicate
  • Mineral Resource
  • Molar Volume
  • Material Processing
  • Bulk Modulus