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The equation of state of wadsleyite solid solutions: Constraining the effects of anisotropy and crystal chemistry

  • Johannes Buchen EMAIL logo , Hauke Marquardt , Tiziana Boffa Ballaran , Takaaki Kawazoe and Catherine McCammon
Published/Copyright: November 30, 2017
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Abstract

A quantitative knowledge of the equation of state of wadsleyite solid solutions is needed to refine thermodynamic and thermoelastic models for the transition zone in Earth’s upper mantle. Here we present the results of high-pressure single-crystal X-ray diffraction experiments on two crystals of slightly hydrous iron-bearing wadsleyite with Fe/(Mg+Fe) = 0.112(2), Fe3+/ΣFe = 0.15(3), and 0.24(2) wt% H2O up to 20 GPa. By compressing two wadsleyite crystal sections inside the same diamond-anvil cell, we find a negligible influence of crystal orientation on the derived equation of state parameters. Volume and linear compression curves were analyzed with finite strain theory to demonstrate their mutual consistency for the Reuss bound indicating quasi-hydrostatic stress conditions. The results on the here-studied wadsleyite crystals are incorporated into a multi-end-member model to describe the equation of state for wadsleyite solid solutions in the system Mg2SiO4-Fe2SiO4-MgH2SiO4-Fe3O4. For the hypothetical ferrous wadsleyite end-member, Fe2SiO4, we find a substantially larger bulk modulus than expected by extrapolating currently accepted trends. The multi-end-member equation of state model may serve as a basis for the calculation of phase equilibria and the interpretation of seismic observations regarding the transition zone.

Acknowledgments

We thank A. Potzel and D. Krause for electron microprobe analyses and R. Njul and H. Schulze for polishing the crystal sections. This research was supported through the project “GeoMaX,” funded under the Emmy-Noether Program of the German Science Foundation (MA4534/3-1). H.M. acknowledges support from the Bavarian Academy of Sciences. The FEI Scios DualBeam machine at the Bayerisches Geoinstitut (University of Bayreuth) was supported by the German Science Foundation under Grant INST 91/315-1 FUGG. This study was further supported by the German Science Foundation through grant GRK 2156/1.

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Received: 2017-4-13
Accepted: 2017-8-24
Published Online: 2017-11-30
Published in Print: 2017-12-20

© 2017 Walter de Gruyter GmbH Berlin/Boston

Articles in the same Issue

  1. Special Collection: Rates and Depths of Magma Ascent on Earth
  2. Multiple-reaction geobarometry for olivine-bearing igneous rocks
  3. Special Collection: Rates and Depths of Magma Ascent on Earth
  4. Eruption style and crystal size distributions: Crystallization of groundmass nanolites in the 2011 Shinmoedake eruption
  5. Special Collection: Nanominerals and Mineral Nanoparticles
  6. The nanocrystalline structure of basaluminite, an aluminum hydroxide sulfate from acid mine drainage
  7. Trace element zoning in hornblende: Tracking and modeling the crystallization of a calc-alkaline arc pluton
  8. Toward the wider application of 29Si NMR spectroscopy to paramagnetic transition metal silicate minerals: Copper(II) silicates
  9. Extraterrestrial formation of oldhamite and portlandite through thermal metamorphism of calcite in the Sutter’s Mill carbonaceous chondrite
  10. Age discordance and mineralogy
  11. Melting relations in the system CaCO3-MgCO3 at 6 GPa
  12. Electrical conductivity of mudstone (before and after dehydration at high P-T) and a test of high conductivity layers in the crust
  13. The solubility of CePO4 monazite and YPO4 xenotime in KCl-H2O fluids at 800 °C and 1.0 GPa: Implications for REE transport in high-grade crustal fluids
  14. Mineralogical, geochemical, and textural indicators of crystal accumulation in the Adamello Batholith (Northern Italy)
  15. Stability field of the Cl-rich scapolite marialite
  16. The equation of state of wadsleyite solid solutions: Constraining the effects of anisotropy and crystal chemistry
  17. An experimental approach to quantify the effect of tetrahedral boron in tourmaline on the boron isotope fractionation between tourmaline and fluid
  18. A qualitative and quantitative investigation of partitioning and local structure of arsenate in barite lattice during coprecipitation of barium, sulfate, and arsenate
  19. The origin of needle-like rutile inclusions in natural gem corundum: A combined EPMA, LA-ICP-MS, and nano-SIMS investigation—Discussion
  20. The origin of needle-like rutile inclusions in natural gem corundum: A combined EMPA, LA-ICP-MS, and nano-SIMS investigation—Reply
  21. New Mineral Names
  22. Errata
  23. Raman spectroscopy of water-rich stishovite and dense high-pressure silica up to 55 GPa
  24. Errata
  25. A new clinopyroxene-liquid barometer, and implications for magma storage pressures under Icelandic rift zones
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