Abstract
Raman spectra of γ-Mg2SiO4 taken to 200 kbar were used to calculate entropy and heat capacity at various P-T conditions. These new thermodynamic data on γ-MgSiO4, similar data on MgSiO3 perovskite (pv), previous data on β-MgSiO4 and MgO (mw), and previous volumetric data of all phases were used to calculate the phase boundaries in the Mg2SiO4 phase diagram. Our resulting slope for the β→γ transition (50±4 bar K-1) is in excellent agreement with recent multi-anvil studies. The slopes for the β→pv+MgO and γ→pv+MgO are-7±3 and -25±4 bar K-1, respectively, and are consistent with our CO2 laser heated diamond anvil studies. These slopes result in a β-γ-MgO+pv triple point at approximately 229 kbar and 2260 K for the iron free system.
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Akaogi M, Ito E (1993a) Heat capacity of MgSiO3 perovskite. Geophys Res Lett 20:105–108
Akaogi M, Ito E (1993b) Refinement of enthalpy measurement of MgSiO3 perovskite and negative pressure-temperature slopes for perovskite-forming reactions. Geophys Res Lett 20:1839–1842
Akaogi M, Ross NL, McMillan P, Navrotsky A (1984) The Mg2SiO4 polymorphs (olivine, modified spinel, and spinel). Thermodynamic properties for oxide solution calorimetry, phase relations and models of lattice vibrations. Am Mineral 29:499–512
Akaogi M, Ito E, Navrotsky A (1989) Olivine-modified spinel-spinel transitions in the system Mg2SiO4-Fe2SiO4: Calorimetric measurements, thermochemical calculation, and geophysical application. J Geophys Res 94:15671–15685
Anderson OL, Isaak D, Oda H (1992) High-temperature elastic constant data on minerals relevant to geophysics. Rev Geophys 30:57–92
Boehler R, Chopelas A (1991) A new approach to laser heating in high pressure mineral physics. Geophys Res Lett 18:1147–1150
Boehler R, Chopelas A (1992) Phase transitions in a 500 kbar-3000 K gas apparatus. High-Pressure Research: Application to Earth and Planetary Sciences. Syono Y, Manghnani MH, (eds) Terra Scientific Publishing Company, Tokyo, pp 55–60
Chopelas A (1990a) Thermal expansion, heat capacity, and entropy of MgO at mantle pressures. Phys Chem Minerals 17:142–148
Chopelas A (1990b) Thermal properties of forsterite at mantle pressures derived from vibrational spectroscopy. Phys Chem Minerals 17:149–157
Chopelas A (1991a) Single crystal Raman spectra of forsterite, fayalite, and monticellite. Am Mineral 76:1101–1109
Chopelas A (1991b) Thermal properties of β-Mg2SiO4 at mantle pressures derived from vibrational spectroscopy: Implications for the mantle at 400 km depth. J Geophys Res 96:11817–11829
Chopelas A (1992) Sound velocities of MgO to very high compression. Earth Planet Sci Lett 114:195–192
Chopelas A, Boehler R (1992a) Raman spectroscopy of high pressure MgSiO3 phases synthesized in a CO2 laser heated diamond anvil cell. High Pressure Research: Application to Earth and Planetary Science. Syono Y, Manghnani M (eds) Terrapub, Tokyo, pp 101–108
Chopelas A, Boehler R (1992b) Thermal expansivity in the lower mantle. Geophys Res Lett 19:1983–1986
Chopelas A, Hofmeister AM (1991) Vibrational spectroscopy of aluminate spinels at 1 atm and of MgAl2O4 to over 200 kbar. Phys Chem Minerals 18:279–293
Farmer VC, Lazarev AN (1974) Symmetry and crystal vibrations. The Infrared Spectra of Minerals. Farmer VC, (eds) Mineralogical Society, London, pp 51–68
Fateley WG, McDevitt NT, Bently FF (1971) Infrared and Raman selection rules for lattice vibrations: the correlation method. Applied Spectroscopy 25:155–174
Finger LW, Hazen RM, Yagi T (1979) Crystal structures and electron densities of nickel and iron silicate spinels at elevated temperature or pressure. Am Mineral 64:1002–1009
Gasparik T (1989) Transformation of enstatite-diopside-Jadeite pyroxenes to garnet. Contrib Mineral Petrol 1–2:389–405
Gwamnesia GD, Rigden S, Jackson I, Liebermann RC (1990) Pressure dependence of elastic wave velocity for β-Mg2SiO4 and the composition of the Earth's mantle. Science 250:794–797
Hardy RJ (1980) Temperature and pressure dependence of intrinsic anharmonic and quantum corrections to the equation of state. J Geophys Res 85:7011–7015
Hofmeister AM (1987) Single-crystal absorption and reflection infrared spectroscopy of forsterite and fayalite. Phys Chem Minerals 14:499–513
Hofmeister AM, Chopelas A (1991a) Thermodynamic properties of pyrope and grossular from vibrational spectroscopy. Am Mineral 76:880–891
Hofmeister AM, Chopelas A (1991b) Vibrational spectroscopy of end-member silicate garnets. Phys Chem Minerals 17:503–526
Hofmeister AM, Xu J, Mao H-K, Bell PM, Hoering TC (1989) Thermodynamics of Fe-Mg olivines at mantle pressurs: Mid- and far-Infrared spectroscopy at high pressure. Am Mineral 74:281–306
Ito E, Takahashi E (1989) Postspinel transformations in the system Mg2SiO4-Fe2SiO4 and some geophysical implications. J Geophys Res 94:10637–10646
Jackson I, Niesler H (1982) The elasticity of periclase to 3 GPa and some geophysical implications. High Pressure Research in Geophysics. Akimoto S, Manghnani MH, (eds) Center of Academic Publications of Japan, Tokyo, pp 98–113
Katsura T, Ito E (1989) The system Mg2SiO4-Fe2SiO4 at high pressures and temperatures: precise determination of stabilities of olivine, modified spinel, and spinel. J Geophys Res 94:15663–15670
Knittle E, Jeanloz R (1987) Synthesis and equation of state of (Mg,Fe)SiO3 perovskite to over 100 gigapascals. Science 235:668–670
Lewis BN, Randall M (1961) Thermodynamics, revised by KS Pitzer and L Brewer. New York, McGraw-Hill
McMillan P, Akaogi M (1987) Raman spectra of β-Mg2SiO4 (modified spinel) and γ-Mg2SiO4 (spinel). Am Mineral 72:361–364
Ross NL, Hazen RM (1989) Single-crystal X-ray diffraction study of MgSiO3 perovskite from 77 to 400 K. Phys Chem Minerals 16:415–420
Suzuki I (1975) Thermal expansion of periclase and olivine and their anharmonic properties. J Phys Earth 23:145–159
Suzuki I, Ohtani E, Kumazawa M (1979) Thermal expansion of γ-Mg2SiO4. J Phys Earth 27:53–61
Suzuki I, Ohtani E, Kumazawa M (1980) Thermal expansion of modified spinel, β-Mg2SiO4. J Phys Earth 28:273–280
Watanabe H (1982) Thermochemical properties of synthetic high pressure compounds relevant to the Earth's mantle. High Pressure Research in Geophysics. Akimoto S, Manghnani M, (eds) Center for Academic Publishing of Japan, Tokyo, pp 441–464
Weidner DJ, Sawamoto H, Sasaki S, Kumazawa M (1984) Single crystal elastic properties of the spinel phase of Mg2SiO4. J Geophys Res 89:7852–7860
Weidner DJ, Wang Y, Yeganeh-Haeri A (1993) Equation of state properties of mantle perovskites (abstract). EOS Trans Am Geophys U 74:571
Yamanaka T, Ishii M (1986) Raman scattering and lattice vibrations of Ni2SiO4 spinel at elevated temperature. Phys Chem Minerals 13:156–160
Zerr A, Reichmann HJ, Euler H, Boehler R (1993) Hydrostatic compression of γ-(Mg0.6,Fe0.4)2SiO4 to 50 GPa. Phys Chem Minerals 19:507–509
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Chopelas, A., Boehler, R. & Ko, T. Thermodynamics and behavior of γ-Mg2SiO4 at high pressure: Implications for Mg2SiO4 phase equilibrium. Phys Chem Minerals 21, 351–359 (1994). https://doi.org/10.1007/BF00203293
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DOI: https://doi.org/10.1007/BF00203293