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Sound velocities of skiagite–iron–majorite solid solution to 56 GPa probed by nuclear inelastic scattering

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Abstract

High-pressure experimental data on sound velocities of garnets are used for interpretation of seismological data related to the Earth’s upper mantle and the mantle transition zone. We have carried out a Nuclear Inelastic Scattering study of iron-silicate garnet with skiagite (77 mol%)–iron–majorite composition in a diamond anvil cell up to 56 GPa at room temperature. The determined sound velocities are considerably lower than sound velocities of a number of silicate garnet end-members, such as grossular, pyrope, Mg–majorite, andradite, and almandine. The obtained sound velocities have the following pressure dependencies: V p [km/s] = 7.43(9) + 0.039(4) × P [GPa] and V s [km/s] = 3.56(12) + 0.012(6) × P [GPa]. We estimated sound velocities of pure skiagite and khoharite, and conclude that the presence of the iron–majorite component in skiagite strongly decreases V s . We analysed the influence of Fe3+ on sound velocities of garnet solid solution relevant to the mantle transition zone and consider that it may reduce sound velocities up to 1% relative to compositions with only Fe2+ in the cubic site.

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References

  • Achterhold K, Keppler C, Ostermann A, Van Bürck U, Sturhahn W, Alp E, Parak F (2002) Vibrational dynamics of myoglobin determined by the phonon-assisted Mössbauer effect. Phys Rev E 65(5):051916

    Article  Google Scholar 

  • Angel R, Finger L, Hazen R, Kanzaki M, Weidner D, Liebermann R, Veblen D (1989) Letter. Structure and twinning of single-crystal MgSiO3 garnet synthesized at 17 GPa and 1800 °C. Am Miner 74(3–4):509–512

    Google Scholar 

  • Arimoto T, Gréaux S, Irifune T, Zhou C, Higo Y (2015) Sound velocities of Fe3Al2Si3O12 almandine up to 19 GPa and 1700 K. Phys Earth Planet Inter 246:1–8

    Article  Google Scholar 

  • Baima J, Ferrabone M, Orlando R, Erba A, Dovesi R (2016) Thermodynamics and phonon dispersion of pyrope and grossular silicate garnets from ab initio simulations. Phys Chem Miner 43(2):137–149

    Article  Google Scholar 

  • Bindi L, Dymshits AM, Bobrov AV, Litasov KD, Shatskiy AF, Ohtani E, Litvin YA (2011) Letter. Crystal chemistry of sodium in the Earth’s interior: the structure of Na2MgSi5O12 synthesized at 17.5 GPa and 1700 °C. Am Miner 96(2–3):447–450

    Article  Google Scholar 

  • Chantel J, Manthilake GM, Frost DJ, Beyer C, Ballaran TB, Jing Z, Wang Y (2016) Elastic wave velocities in polycrystalline Mg3Al2Si3O12-pyrope garnet to 24 GPa and 1300 K. Am Miner 101(4):991–997

    Article  Google Scholar 

  • Chumakov A, Rüffer R (1998) Nuclear inelastic scattering. Hyperfine Interact 113(1):59–79

    Article  Google Scholar 

  • Dewaele A, Torrent M, Loubeyre P, Mezouar M (2008) Compression curves of transition metals in the Mbar range: experiments and projector augmented-wave calculations. Phys Rev B 78(10):104102

    Article  Google Scholar 

  • Dziewonski AM, Anderson DL (1981) Preliminary reference Earth model. Phys Earth Planet Inter 25(4):297–356

    Article  Google Scholar 

  • Erba A, Mahmoud A, Orlando R, Dovesi R (2014) Elastic properties of six silicate garnet end members from accurate ab initio simulations. Phys Chem Miner 41(2):151–160

    Article  Google Scholar 

  • Gwanmesia GD, Wang L, Heady A, Liebermann RC (2014) Elasticity and sound velocities of polycrystalline grossular garnet (Ca3Al2Si3O12) at simultaneous high pressures and high temperatures. Phys Earth Planet Inter 228:80–87

    Article  Google Scholar 

  • Hazen RM, Finger LW (1978) Crystal structures and compressibilities of pyrope and grossular to 60 kbar. Am Miner 63(3–4):297–303

    Google Scholar 

  • Hu M, Sturhahn W, Toellner T, Hession P, Sutter J, Alp E (1999) Data analysis for inelastic nuclear resonant absorption experiments. Nucl Instrum Method Phys Res Sect A 428(2):551–555

    Article  Google Scholar 

  • Hu MY, Sturhahn W, Toellner TS, Mannheim PD, Brown DE, Zhao J, Alp EE (2003) Measuring velocity of sound with nuclear resonant inelastic X-ray scattering. Phys Rev B 67(9):094304

    Article  Google Scholar 

  • 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(1–2):101–110

    Article  Google Scholar 

  • Irifune T, Sekine T, Ringwood A, Hibberson W (1986) The eclogite-garnetite transformation at high pressure and some geophysical implications. Earth Planet Sci Lett 77(2):245–256

    Article  Google Scholar 

  • Irifune T, Higo Y, Inoue T, Kono Y, Ohfuji H, Funakoshi K (2008) Sound velocities of majorite garnet and the composition of the mantle transition region. Nature 451(7180):814–817

    Article  Google Scholar 

  • Ismailova L, Bobrov A, Bykov M, Bykova E, Cerantola V, Kantor I, Kupenko I, McCammon C, Dyadkin V, Chernyshov D, Pascarelli S, Chumakov A, Dubrovinskaia N, Dubrovinsky L (2015) High-pressure synthesis of skiagite-majorite garnet and investigation of its crystal structure. Am Miner 100(11–12):2650–2654

    Article  Google Scholar 

  • Ismailova L, Bykov M, Bykova E, Bobrov A, Kupenko I, Cerantola V, Vasiukov D, Dubrovinskaia N, McCammon C, Hanfland M, Glazyrin K, Liermann HP, Chumakov A, Dubrovinsky L (2017) Effect of composition on compressibility of skiagite-Fe-majorite garnet. Am Miner 102(1):184–191

    Article  Google Scholar 

  • Jiang F, Speziale S, Shieh SR, Duffy TS (2004) Single-crystal elasticity of andradite garnet to 11 GPa. J Phys Condens Matter 16(14):S1041

    Article  Google Scholar 

  • Kiseeva E, Vasiukov D, Wood B, McCammon C, Stachel T, Bykov M, Bykova E, Cerantola V, Chumakov A, Harris J, Dubrovinsky L (2017) Oxidised iron in garnets from the mantle transition zone. Nat Geosci Rev (accepted)

  • Kohn V, Chumakov A (2000) DOS: Evaluation of phonon density of states from nuclear resonant inelastic absorption. Hyperfine Interact 125(1–4):205–221

    Article  Google Scholar 

  • Kohn V, Chumakov A, Rüffer R (1998) Nuclear resonant inelastic absorption of synchrotron radiation in an anisotropic single crystal. Phys Rev B 58(13):8437

    Article  Google Scholar 

  • Kono Y, Gréaux S, Higo Y, Ohfuji H, Irifune T (2010) Pressure and temperature dependences of elastic properties of grossular garnet up to 17 GPa and 1650 K. J Earth Sci 21(5):782–791

    Article  Google Scholar 

  • Lacivita V, Erba A, Dovesi R, D’Arco P (2014) Elasticity of grossular–andradite solid solution: an ab initio investigation. Phys Chem Chem Phys 16(29):15331–15338

    Article  Google Scholar 

  • 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(4):239–263

    Article  Google Scholar 

  • McCammon C, Ross N (2003) Crystal chemistry of ferric iron in (Mg,Fe)(Si,Al)O3 majorite with implications for the transition zone. Phys Chem Miner 30(4):206–216

    Article  Google Scholar 

  • Milman V, Akhmatskaya E, Nobes R, Winkler B, Pickard C, White J (2001) Systematic ab initio study of the compressibility of silicate garnets. Acta Crystallogr Sect B Struct Sci 57(2):163–177

    Article  Google Scholar 

  • Mittal R, Chaplot S, Choudhury N, Loong CK (2000) Inelastic neutron scattering and lattice-dynamics studies of almandine Fe3Al2Si3O12. Phys Rev B 61(6):3983

    Article  Google Scholar 

  • Mittal R, Chaplot S, Choudhury N (2001) Lattice dynamics calculations of the phonon spectra and thermodynamic properties of the aluminosilicate garnets pyrope, grossular, and spessartine M3Al2Si3O12 (M = Mg, Ca, and Mn). Phys Rev B 64(9):094302

    Article  Google Scholar 

  • Momma K, Izumi F (2011) VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J Appl Crystallogr 44(6):1272–1276

    Article  Google Scholar 

  • Papagelis K, Kanellis G, Ves S, Kourouklis G (2002) Lattice dynamical properties of the rare earth aluminum garnets (RE3Al5O12). Phys Status Solidi B 233(1):134–150

    Article  Google Scholar 

  • Ricolleau A, Perrillat JP, Fiquet G, Daniel I, Matas J, Addad A, Menguy N, Cardon H, Mezouar M, 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. J Geophys Res Solid Earth 115(B8)

  • Ringwood A (1991) Phase transformations and their bearing on the constitution and dynamics of the mantle. Geochim Cosmochim Acta 55(8):2083–2110

    Article  Google Scholar 

  • Rodehorst U, Geiger CA, Armbruster T (2002) The crystal structures of grossular and spessartine between 100 and 600 K and the crystal chemistry of grossular-spessartine solid solutions. Am Miner 87(4):542–549

    Article  Google Scholar 

  • Rohrbach A, Ballhaus C, Golla-Schindler U, Ulmer P, Kamenetsky VS, Kuzmin DV (2007) Metal saturation in the upper mantle. Nature 449(7161):456–458

    Article  Google Scholar 

  • Rüffer R, Chumakov AI (1996) Nuclear resonance beamline at ESRF. Hyperfine Interact 97(1):589–604

    Article  Google Scholar 

  • Sinogeikin SV, Bass JD (2002) Elasticity of majorite and a majorite-pyrope solid solution to high pressure: implications for the transition zone. Geophys Res Lett 29(2):4-1–4-4

    Article  Google Scholar 

  • Sturhahn W, Chumakov A (1999) Lamb–Mössbauer factor and second-order Doppler shift from inelastic nuclear resonant absorption. Hyperfine Interact 123(1–4):809–824

    Article  Google Scholar 

  • Sturhahn W, Jackson JM (2007) Geophysical applications of nuclear resonant spectroscopy. In: Ohtani E (ed) Advances in high-pressure mineralogy. Geological Society of America, Boulder, CO

    Google Scholar 

  • Tappert R, Stachel T, Harris JW, Muehlenbachs K, Ludwig T, Brey GP (2005) Diamonds from Jagersfontein (South Africa): messengers from the sublithospheric mantle. Contrib Miner Petrol 150(5):505–522

    Article  Google Scholar 

  • Wood BJ, Kiseeva ES, Matzen AK (2013) Garnet in the Earth’s mantle. Elements 9(6):421–426

    Article  Google Scholar 

  • Woodland A, Koch M (2003) Variation in oxygen fugacity with depth in the upper mantle beneath the Kaapvaal craton, Southern Africa. Earth Planet Sci Lett 214(1):295–310

    Article  Google Scholar 

  • Woodland AB, Ross CR (1994) A crystallographic and Mössbauer spectroscopy study of Fe3 2+Al2Si3O12-Fe3 2+Fe2 3+Si3O12, (almandine-“skiagite”) and Ca3Fe2 3+Si3O12-Fe3 2+Fe2 3+Si3O12 (andradite-“skiagite”) garnet solid solutions. Phys Chem Miner 21(3):117–132

    Article  Google Scholar 

  • Woodland A, Angel R, Koch M, Kunz M, Miletich R (1999) Equations of state for Fe3 2+ Fe2 3+ Si3O12 “skiagite” garnet and Fe2SiO4–Fe3O4 spinel solid solutions. J Geophys Res Solid Earth 104(B9):20049–20058

    Article  Google Scholar 

  • Xu C, Kynický J, Tao R, Liu X, Zhang L, Pohanka M, Song W, Fei Y (2017) Recovery of an oxidized majorite inclusion from Earth’s deep asthenosphere. Sci Adv 3(4):e1601589

    Article  Google Scholar 

  • Zhou C, Gréaux S, Nishiyama N, Irifune T, Higo Y (2014) Sound velocities measurement on MgSiO3 akimotoite at high pressures and high temperatures with simultaneous in situ X-ray diffraction and ultrasonic study. Phys Earth Planet Inter 228:97–105

    Article  Google Scholar 

  • Zou Y, Irifune T, Gréaux S, Whitaker ML, Shinmei T, Ohfuji H, Negishi R, Higo Y (2012) Elasticity and sound velocities of polycrystalline Mg3Al2(SiO4)3 garnet up to 20 GPa and 1700 K. J Appl Phys 112(1):014910

    Article  Google Scholar 

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Acknowledgements

The authors are grateful to Dr. R. Mittal for the provided data. We thank the European Synchrotron Radiation Facility for the provision of synchrotron radiation (ID18). N.D. thanks the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG, projects no. DU 954-8/1 and DU 95411/1) and the Federal Ministry of Education and Research, Germany (BMBF, grants no. 5K13WC3 and 5K16WC1) for financial support. C.M. and L.D. acknowledge DFG funding through projects MC 3–18/1 and MC 3–20/1 and the CarboPaT Research Unit FOR2125. Partial support was also provided by the German Academic Exchange Service (DAAD).

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Correspondence to D. M. Vasiukov.

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Vasiukov, D.M., Ismailova, L., Kupenko, I. et al. Sound velocities of skiagite–iron–majorite solid solution to 56 GPa probed by nuclear inelastic scattering. Phys Chem Minerals 45, 397–404 (2018). https://doi.org/10.1007/s00269-017-0928-8

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