Equations of state, phase relations, and oxygen fugacity of the Ru-RuO2 buffer at high pressures and temperatures
-
Katherine Armstrong
, Nicki C. Siersch
, Tiziana Boffa-Ballaran , Daniel J. Frost, Tony Yu
and Yanbin Wang
Abstract
Experimental studies and measurements of inclusions in diamonds show that ferric iron components are increasingly stabilized with depth in the mantle. To determine the thermodynamic stability of such components, their concentration needs to be measured at known oxygen fugacities. The metal-oxide pair Ru and RuO2 are ideal as an internal oxygen fugacity buffer in high-pressure experiments. Both phases remain solid to high temperatures and react minimally with silicates, only exchanging oxygen. To calculate oxygen fugacities at high pressure and temperature, however, requires information on the phase relations and equation of state properties of the solid phases.
We have made in situ synchrotron X‑ray diffraction measurements in a multi-anvil press on mixtures of Ru and RuO2 to 19.4 GPa and 1473 K with which we have determined phase relations of the RuO2 phases and derived thermal equations of state (EoS) parameters for both Ru and RuO2. Rutile-structured RuO2 was found to undergo two phase transformations, first at ~7 GPa to an orthorhombic structure and then above 12 GPa to a cubic structure. The phase boundary of the cubic phase was constrained for the first time at high pressure and temperature. We have derived a continuous Gibbs free energy expression for the tetragonal and orthorhombic phases of RuO2 by fitting the second-order phase transition boundary and P-V-T data for both phases, using a model based on Landau theory. The transition between the orthorhombic and cubic phases was then used along with EoS terms derived for both phases to determine a Gibbs free energy expression for the cubic phase. We have used these data to calculate the oxygen fugacity of the Ru + O2 = RuO2 equilibrium, which we have parameterized as a single polynomial across the stability fields of all three phases of RuO2. The expression is log10fO2(Ru – RuO2) = (7.782 – 0.00996P + 0.001932P2 – 3.76 × 10–5P3) + (–13 763 + 592P – 3.955P2)/T + (–1.05 × 106 – 4622P)/T2, which should be valid from room pressure up to 25 GPa and 773–2500 K, with an estimated uncertainty of 0.2 log units. Our calculated fO2 is shown to be up to 1 log unit lower than estimates that use previous expressions or ignore EoS terms.
Acknowledgments and Funding
Raphael Njul and Alex Rother are thanked for sample preparation. Funding was provided within the DFG-SPP program 1833 “Building a Habitable Earth” through grant FR 1555/10-1.
References cited
Ahuja, R., Rekhi, S., Saxena, S.K., and Johansson, B. (2001) High-pressure structural phase transitions in RuO2 and its geophysical implications. The Journal of Physics and Chemistry of Solids, 62, 2035–2037.10.1016/S0022-3697(01)00049-XSearch in Google Scholar
Akins, J.A., and Ahrens, T.J. (2002) Dynamic compression of SiO2: A new interpretation. Geophysical Research Letters, 29.10.1029/2002GL014806Search in Google Scholar
Andrault, D., Fiquet, G., Guyot, F., and Hanfland, M. (1998) Pressure-induced landau-type transition in stishovite. Science, 282, 720–724.10.1126/science.282.5389.720Search in Google Scholar
Angel, R.J., Alvaro, M., and Gonzalez-Platas, J. (2014) EosFit7c and a Fortran module (library) for equation of state calculations. Zeitschrift für Kristallographie–Crystalline Materials, 229.10.1515/zkri-2013-1711Search in Google Scholar
Angel, R.J., Alvaro, M., Miletich, R., and Nestola, F. (2017) A simple and generalised P-T-V EoS for continuous phase transitions, implemented in EosFit and applied to quartz. Contributions to Mineralogy and Petrology, 172, 29.10.1007/s00410-017-1349-xSearch in Google Scholar
Campbell, A.J., Danielson, L., Righter, K., Seagle, C.T., Wang, Y., and Prakapenka, 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
Canil, D., and O’Neill, H. St.C. (1996) Distribution of ferric iron in some upper-mantle assemblages. Journal of Petrology, 37, 609–635.10.1093/petrology/37.3.609Search in Google Scholar
Carpenter, M.A., Hemley, R.J., and Mao, H.-K. (2000) High-pressure elasticity of stishovite and the P42/mnm ⇌ Pnnm phase transition. Journal of Geophysical Research, 105, 10807–10816.10.1029/1999JB900419Search in Google Scholar
Chantel, J., Frost, D.J., McCammon, C.A., Jing, Z., and Wang, Y. (2012) Acoustic velocities of pure and iron-bearing magnesium silicate perovskite measured to 25 GPa and 1200 K. Geophysical Research Letters, 39, L19307.10.1029/2012GL053075Search in Google Scholar
Clendenen, R.L., and Drickamer, H.G. (1964) The effect of pressure on the volume and lattice parameters of ruthenium and iron. The Journal of Physics and Chemistry of Solids, 25, 865–868.10.1016/0022-3697(64)90098-8Search in Google Scholar
Davis, F.A., and Cottrell, E. (2018) Experimental investigation of basalt and peridotite oxybarometers: Implications for spinel thermodynamic models and Fe3+ compatibility during generation of upper mantle melts. American Mineralogist, 103, 1056–1067.10.2138/am-2018-6280Search in Google Scholar
Dewaele, A., Fiquet, G., Andrault, D., and Hausermann, D. (2000) P-V-T equation of state of periclase from synchrotron radiation measurements. Journal of Geophysical Research, 105, 2869–2877.10.1029/1999JB900364Search in Google Scholar
Eugster, H.P. (1957) Heterogeneous reactions involving oxidation and reduction at high pressures and temperatures. The Journal of Chemical Physics, 26, 1760–1761.10.1063/1.1743626Search in Google Scholar
Fischer, R.A., Campbell, A.J., Chidester, B.A., Reaman, D.M., Thompson, E.C., Pigott, J.S., Prakapenka, V.B., and Smith, J.S. (2018) Equations of state and phase boundary for stishovite and CaCl2-type SiO2. American Mineralogist, 103, 792–802.10.2138/am-2018-6267Search in Google Scholar
Frost, D.J., Poe, B.T., Tronnes, R.G., Liebske, C., Duba, A., and Rubie, D.C. (2004) A new large-volume multianvil system. Physics of the Earth and Planetary Interiors, 143-144, 507–514.10.1016/j.pepi.2004.03.003Search in Google Scholar
Gaillard, F., Scaillet, B., Pichavant, M., and Iacono-Marziano, G. (2015) The redox geodynamics linking basalts and their mantle sources through space and time. Chemical Geology, 418, 217–233.10.1016/j.chemgeo.2015.07.030Search in Google Scholar
Gupta, S.D., and Jha, P.K. (2014) Vibrational and elastic properties as a pointer to stishovite to CaCl2 ferroelastic phase transition in RuO2. Earth and Planetary Science Letters, 401, 31–39.10.1016/j.epsl.2014.05.009Search in Google Scholar
Haines, J., and Léger, J.M. (1993) Phase transitions in ruthenium dioxide up to 40 GPa: Mechanism for the rutile-to-fluorite phase transformation and a model for the high-pressure behaviour of stishovite SiO2. Physical Review B: Condensed Matter, 48, 13344–13350.10.1103/PhysRevB.48.13344Search in Google Scholar
Haines, J., Léger, J.M., and Schulte, O. (1996) Pa3 modified fluorite-type structures in metal dioxides at high pressure. Science, 271, 629–631.10.1126/science.271.5249.629Search in Google Scholar
Haines, J., Leger, J.M., Schulte, O., and Hull, S. (1997) Neutron diffraction study of the ambient-pressure, rutile-type and the high-pressure, CaCl2-type phases of ruthenium dioxide. Acta Crystallographica, 53, 880–884.10.1107/S0108768197008094Search in Google Scholar
Haines, J., Leger, J.M., Schmidt, M.W., Petitet, J.P., Pereire, A.S., Da Jornada, J.A.H., and Hull, S. (1998) Structural characterisation of the Pa3-type, high-pressure phase of ruthenium dioxide. Journal of Physics and Chemistry of Solids, 59, 239–243.10.1016/S0022-3697(97)00174-1Search in Google Scholar
Hazen, R.M., and Finger, L.W. (1981) Bulk moduli and high-pressure crystal structures of rutile-type compounds. The Journal of Physics and Chemistry of Solids, 42, 143–151.10.1016/0022-3697(81)90074-3Search in Google Scholar
Hirschmann, M.M. (2012) Magma ocean influence on early atmosphere mass and composition. Earth and Planetary Science Letters, 341-344, 48–57.10.1016/j.epsl.2012.06.015Search in Google Scholar
Hirschmann, M.M., Withers, A.C., Ardia, P., and Foley, N.T. (2012) Solubility of molecular hydrogen in silicate melts and consequences for volatile evolution of terrestrial planets. Earth and Planetary Science Letters, 345-348, 38–48.10.1016/j.epsl.2012.06.031Search in Google Scholar
Holland, T.J.B., and Powell, R. (1998) An internally consistent thermodynamic data set for phases of petrological interest. Journal of Metamorphic Geology, 16, 309–343.10.1111/j.1525-1314.1998.00140.xSearch in Google Scholar
Holland, T.J.B., and Powell, R. (2011) An improved and extended internally consistent thermodynamic dataset for phases of petrological interest, involving a new equation of state for solids. Journal of Metamorphic Geology, 29, 333–383.10.1111/j.1525-1314.2010.00923.xSearch in Google Scholar
Huang, Y.K., and Chow, C.Y. (2002) The generalized compressibility equation of Tait for dense matter. Journal of Physics D: Applied Physics, 7.10.1088/0022-3727/7/15/305Search in Google Scholar
Ishii, T., Shi, L., Huang, R., Tsujino, N., Druzhbin, D., Myhill, R., Li, Y., Wang, L., Yamamoto, T., Miyajima, N., and others. (2016) Generation of pressures over 40 GPa using Kawai-type multi-anvil press with tungsten carbide anvils. The Review of Scientific Instruments, 87, 024501.10.1063/1.4941716Search in Google Scholar
Ito, H., Kawada, K., and Akimoto, S. (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
Keefner, J.W., Mackwell, S.J., Kohlstedt, D.L., and Heidelbach, F. (2011) Dependence of dislocation creep of dunite on oxygen fugacity: Implications for viscosity variations in Earth’s mantle. Journal of Geophysical Research, 116, https://doi.org/10.1029/2010JB00774810.1029/2010JB007748Search in Google Scholar
Kiseeva, E.S., Vasiukov, D.M., Wood, B.J., McCammon, C., Stachel, T., Bykov, M., Bykova, E., Chumakov, A., Cerantola, V., Harris, J.W., and others. (2018) Oxidized iron in garnets from the mantle transition zone. Nature Geoscience, 11, 144–147.10.1038/s41561-017-0055-7Search in Google Scholar
Kuwayama, Y., Hirose, K., Sata, N., and Ohishi, Y. (2005) The pyrite-type high-pressure form of silica. Science, 309, 923–925.10.1126/science.1114879Search in Google Scholar
Larson, A.C., and Von Dreele, R.B. (2004) General Structure Analysis System (GSAS). Los Alamos National Laboratory.Search in Google Scholar
Lauterbach, S., McCammon, C.A., van Aken, P., Langenhorst, F., and Seifert, F. (2000) Mössbauer and ELNES spectroscopy of (Mg,Fe)(Si,Al)O3 perovskite: A highly oxidised component of the lower mantle. Contributions to Mineralogy and Petrology, 138, 17–26.10.1007/PL00007658Search in Google Scholar
Lugovskoy, A.V., Belov, M.P., Krasilnikov, O.M., and Vekilov, Y.K. (2014) Stability of the hcp ruthenium at high pressures from first principles. Journal of Applied Physics, 116, 103507.10.1063/1.4894167Search in Google Scholar
Lundin, U., Fast, L., Nordström, L., Johansson, B., Wills, J.M., and Eriksson, O. (1998) Transition-metal dioxides with a bulk modulus comparable to diamond. Physical Review B: Condensed Matter, 57, 4979–4982.10.1103/PhysRevB.57.4979Search in Google Scholar
Matjuschkin, V., Brooker, R.A., Tattitch, B., Blundy, J.D., and Stamper, C.C. (2015) Control and monitoring of oxygen fugacity in piston cylinder experiments. Contributions to Mineralogy and Petrology, 169, 9.10.1007/s00410-015-1105-zSearch in Google Scholar
Ming, L.C., and Manghnani, M.H. (1982) High-pressure phase transformations in rutile-structured dioxides. In S. Akimoto and M.H. Manghnani, Eds., High-pressure Research in Geophysics, pp. 329–360. Center for Academic Publications, Tokyo.10.1007/978-94-009-7867-6_26Search in Google Scholar
O’Neill, H.St.C., and Nell, J. (1997) Gibbs free energies of formation of RuO2, IrO2, and OsO2: A high-temperature electrochemical and calorimetric study. Geochimica et Cosmochimica Acta, 61, 5279–5293.10.1016/S0016-7037(97)00317-7Search in Google Scholar
O’Neill, H.St.C., Berry, A.J., McCammon, C.C., Jayasuriya, K.D., Campbell, S.J., and Foran, G. (2006) An experimental determination of the effect of pressure on the Fe3+/ΣFe ratio of an anhydrous silicate melt to 3.0 GPa. American Mineralogist, 91, 404–412.10.2138/am.2005.1929Search in Google Scholar
Ono, S., and Mibe, K. (2011) Determination of the phase boundary of the ferroelastic rutile to CaCl2 transition in RuO2 using in situ high-pressure and high-temperature Raman spectroscopy. Physical Review B: Condensed Matter, 84, 054114.10.1103/PhysRevB.84.054114Search in Google Scholar
Pommier, A., Gaillard, F., and Pichavant, M. (2010) Time-dependent changes of the electrical conductivity of basaltic melts with redox state. Geochimica et Cosmochimica Acta, 74, 1653–1671.10.1016/j.gca.2009.12.005Search in Google Scholar
Rao, K.V.K., and Iyengar, L. (1969) X‑ray studies on the thermal expansion of ruthenium dioxide. Acta Crystallographica, A25, 302–303.10.1107/S0567739469000465Search in Google Scholar
Righter, K., Campbell, A.J., Humayun, M., and Hervig, R.L. (2004) Partitioning of Ru, Rh, Pd, Re, Ir, and Au between Cr-bearing spinel, olivine, pyroxene and silicate melts. Geochimica et Cosmochimica Acta, 68, 867–880.10.1016/j.gca.2003.07.005Search in Google Scholar
Rohrbach, A., Ballhaus, C., Golla-Schindler, U., Ulmer, P., Kamenetsky, V.S., and Kuzmin, D.V. (2007) Metal saturation in the upper mantle. Nature, 449, 456–458.10.1038/nature06183Search in Google Scholar PubMed
Rosenblum, S.S., Weber, W.H., and Chamberland, B.L. (1997) Raman-scattering observation of the rutile-to-CaCl2 phase transition in RuO2. Physical Review B: Condensed Matter and Materials Physics, 56, 529–533.10.1103/PhysRevB.56.529Search in Google Scholar
Schroeder, R.H., Schmitz-Pranghe, N., and Kohlhaas, R. (1972) Experimentelle Bestimmung der Gitterparameter der Platinmetalle im Temperaturbereich von –190 bis 1709 °C. Zeitschrift Metallkunde, 63, 12–16.10.1515/ijmr-1972-630103Search in Google Scholar
Smith, E.M., Shirey, S.B., Nestola, F., Bullock, E.S., Wang, J., Richardson, S.H., and Wang, W. (2016) Large gem diamonds from metallic liquid in Earth’s deep mantle. Science, 354, 1403–1405.10.1126/science.aal1303Search in Google Scholar PubMed
Smyth, J.R., Bolfan-Casanova, N., Avignant, D., El-Ghozzi, M., and Hirner, S.M. (2014) Tetrahedral ferric iron in oxidized hydrous wadsleyite. American Mineralogist, 99, 458–466.10.2138/am.2014.4520Search in Google Scholar
Stagno, V., Tange, Y., Miyajima, N., McCammon, C.A., Irifune, T., and Frost, D.J. (2011) The stability of magnesite in the transition zone and the lower mantle as function of oxygen fugacity. Geophysical Research Letters, 38.10.1029/2011GL049560Search in Google Scholar
Tao, R., Fei, Y., Bullock, E.S., Xu, C., and Zhang, L. (2018) Experimental investigation of Fe3+-rich majoritic garnet and its effect on majorite geobarometer. Geochimica et Cosmochimica Acta, 225, 1–16.10.1016/j.gca.2018.01.008Search in Google Scholar
Toby, B.H. (2001) EXPGUI a graphical user interface for GSAS. Journal of Applied Crystallography, 34, 210–213.10.1107/S0021889801002242Search in Google Scholar
Tse, J.S., Klug, D.D., Uehara, K., Li, Z.Q., Haines, J., and Léger, J.M. (2000) Elastic properties of potential superhard phases of RuO2. Physical Review B: Condensed Matter, 61, 10029–10034.10.1103/PhysRevB.61.10029Search in Google Scholar
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. Journal of Geophysical Research, 108, 2462.10.1029/2003JB002446Search 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, 31.10.1029/2004GL019649Search in Google Scholar
Wang, Y., Rivers, M., Sutton, S., Nishiyama, N., Uchida, T., and Sanehira, T. (2009) The large-volume high-pressure facility at GSECARS: A “Swiss-army-knife” approach to synchrotron-based experimental studies. Physics of the Earth and Planetary Interiors, 174, 270–281.10.1016/j.pepi.2008.06.017Search in Google Scholar
Woodland, A.B., and O’Neill, H.St.C. (1997) Thermodynamic data for Fe-bearing phases obtained using noble metal alloys as redox sensors. Geochimica et Cosmochimica Acta, 61, 4359–4366.10.1016/S0016-7037(97)00247-0Search in Google Scholar
Woodland, A.B., Kornprobst, J., and Tabit, A. (2006) Ferric iron in orogenic lherzolite massifs and controls of oxygen fugacity in the upper mantle. Lithos, 89, 222–241.10.1016/j.lithos.2005.12.014Search 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
Yoshino, T., and Katsura, T. (2013) electrical conductivity of mantle minerals: role of water in conductivity anomalies. Annual Review of Earth and Planetary Sciences, 41, 605–628.10.1146/annurev-earth-050212-124022Search in Google Scholar
Zhang, H.L., Hirschmann, M.M., Cottrell, E., and Withers, A.C. (2017) Effect of pressure on Fe3+/SFe ratio in a mafic magma and consequences for magma ocean redox gradients. Geochimica et Cosmochimica Acta, 204, 83–103.10.1016/j.gca.2017.01.023Search in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Heavy halogen geochemistry of martian shergottite meteorites and implications for the halogen composition of the depleted shergottite mantle source
- The distribution and abundance of halogens in eclogites: An in situ SIMS perspective of the Raspas Complex (Ecuador)
- Pressure dependence of Si diffusion in γ-Fe
- Seismic detectability of carbonates in the deep Earth: A nuclear inelastic scattering study
- Equations of state, phase relations, and oxygen fugacity of the Ru-RuO2 buffer at high pressures and temperatures
- Experimental determination of the phase relations of Pt and Pd antimonides and bismuthinides in the Fe-Ni-Cu sulfide systems between 1100 and 700 °C
- Layer stacking disorder in Mg-Fe chlorites based on powder X-ray diffraction data
- Elasticity of single-crystal Fe-enriched diopside at high-pressure conditions: Implications for the origin of upper mantle low-velocity zones
- XANES spectroscopy of sulfides stable under reducing conditions
- Zircon and apatite geochemical constraints on the formation of the Huojihe porphyry Mo deposit in the Lesser Xing’an Range, NE China
- Textural and compositional evolution of iron oxides at Mina Justa (Peru): Implications for mushketovite and formation of IOCG deposits
- Siwaqaite, Ca6Al2(CrO4)3(OH)12·26H2O, a new mineral of the ettringite group from the pyrometamorphic Daba-Siwaqa complex, Jordan
- Negevite, the pyrite-type NiP2, a new terrestrial phosphide
- Transjordanite, Ni2P, a new terrestrial and meteoritic phosphide, and natural solid solutions barringerite-transjordanite (hexagonal Fe2P–Ni2P)
Articles in the same Issue
- Heavy halogen geochemistry of martian shergottite meteorites and implications for the halogen composition of the depleted shergottite mantle source
- The distribution and abundance of halogens in eclogites: An in situ SIMS perspective of the Raspas Complex (Ecuador)
- Pressure dependence of Si diffusion in γ-Fe
- Seismic detectability of carbonates in the deep Earth: A nuclear inelastic scattering study
- Equations of state, phase relations, and oxygen fugacity of the Ru-RuO2 buffer at high pressures and temperatures
- Experimental determination of the phase relations of Pt and Pd antimonides and bismuthinides in the Fe-Ni-Cu sulfide systems between 1100 and 700 °C
- Layer stacking disorder in Mg-Fe chlorites based on powder X-ray diffraction data
- Elasticity of single-crystal Fe-enriched diopside at high-pressure conditions: Implications for the origin of upper mantle low-velocity zones
- XANES spectroscopy of sulfides stable under reducing conditions
- Zircon and apatite geochemical constraints on the formation of the Huojihe porphyry Mo deposit in the Lesser Xing’an Range, NE China
- Textural and compositional evolution of iron oxides at Mina Justa (Peru): Implications for mushketovite and formation of IOCG deposits
- Siwaqaite, Ca6Al2(CrO4)3(OH)12·26H2O, a new mineral of the ettringite group from the pyrometamorphic Daba-Siwaqa complex, Jordan
- Negevite, the pyrite-type NiP2, a new terrestrial phosphide
- Transjordanite, Ni2P, a new terrestrial and meteoritic phosphide, and natural solid solutions barringerite-transjordanite (hexagonal Fe2P–Ni2P)