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The effects of ferromagnetism and interstitial hydrogen on the equation of states of hcp and dhcp FeHx: Implications for the Earth’s inner core age

  • Hitoshi Gomi EMAIL logo , Yingwei Fei and Takashi Yoshino
Published/Copyright: July 30, 2018
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American Mineralogist
From the journal American Mineralogist Volume 103 Issue 8

Abstract

Hydrogen has been considered as an important candidate of light elements in the Earth’s core. Because iron hydrides are unquenchable, hydrogen content is usually estimated from in situ X-ray diffraction measurements that assume the following linear relation: x = (VFeHx – VFe)/ΔVH, where x is the hydrogen content, ΔVH is the volume expansion caused by unit concentration of hydrogen, and VFeHx and VFe are volumes of FeHx and pure iron, respectively. To verify the linear relationship, we computed the equation of states of hexagonal iron with interstitial hydrogen by using the Korringa-Kohn-Rostoker method with the coherent potential approximation (KKR-CPA). The results indicate a discontinuous volume change at the magnetic transition and almost no compositional (x) dependence in the ferromagnetic phase at 20 GPa, whereas the linearity is confirmed in the non-magnetic phase. In addition to their effect on the density-composition relationship in the Fe-FeHx system, which is important for estimating the hydrogen incorporation in planetary cores, the magnetism and interstitial hydrogen also affect the electrical resistivity of FeHx. The thermal conductivity can be calculated from the electrical resistivity by using the Wiedemann-Franz law, which is a critical parameter for modeling the thermal evolution of the Earth. Assuming an Fe1–ySiyHx ternary outer core model (0.0 ≤ x ≤ 0.7), we calculated the thermal conductivity and the age of the inner core. The resultant thermal conductivity is ~100 W/m/K and the maximum inner core age ranges from 0.49 to 0.86 Gyr.

Keywords: FeHx; ferromagnetism; chemical disorder; equation of states; KKR-CPA

Acknowledgments

Postdoctoral fellowship to H.G. is supported by the NASA (NNX14AG26G) and NSF (EAR-1214990) grants to Y.F. This work was also supported by JSPS MEXT/KAKENHI Grant Number JP15H05827. We thank two anonymous reviewers for their constructive comments and suggestions.

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Received: 2017-09-06
Accepted: 2018-04-10
Published Online: 2018-07-30
Published in Print: 2018-08-28

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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  12. Electrical cell assembly for reproducible conductivity experiments in the multi-anvil
  13. A vibrational spectroscopic study of kernite to 25 GPa: Implications for the high-pressure stability of borate polyhedra
  14. Discreditation of bobdownsite and the establishment of criteria for the identification of minerals with essential monofluorophosphate (PO3F2–)
  15. Adrianite, Ca12(Al4Mg3Si7)O32Cl6, a new Cl-rich silicate mineral from the Allende meteorite: An alteration phase in a Ca-Al-rich inclusion
  16. MSA Distinguished Lecturer Series
  17. An accessory mineral and experimental perspective on the evolution of the early crust
  18. Letter
  19. POLARIO, a computer program for calculating refractive indices from chemical compositions
  20. Book Review
  21. Book Review
  22. Erratum
  23. Erratum
https://doi.org/10.2138/am-2018-6295
Keywords for this article
FeHx; ferromagnetism; chemical disorder; equation of states; KKR-CPA

Articles in the same Issue

  1. Highlights and Breakthroughs
  2. Electron channeling to achieve the full potential of mineralogy
  3. The inverse problem of unpolarized infrared spectroscopy of geological materials: Estimation from noisy random sampling of a quadratic form
  4. The distribution of lead and thallium in mantle rocks: Insights from the Balmuccia peridotite massif (Italian Alps)
  5. Sulfide partial melting and chalcopyrite disease: An experimental study
  6. Nanoscale partitioning of Ru, Ir, and Pt in base-metal sulfides from the Caridad chromite deposit, Cuba
  7. Stability of Al-bearing superhydrous phase B at the mantle transition zone and the uppermost lower mantle
  8. Origin of the fluorine- and beryllium-rich rhyolites of the Spor Mountain Formation, Western Utah
  9. The mantle source of thermal plumes: Trace and minor elements in olivine and major oxides of primitive liquids (and why the olivine compositions don’t matter)
  10. The effects of ferromagnetism and interstitial hydrogen on the equation of states of hcp and dhcp FeHx: Implications for the Earth’s inner core age
  11. Accurate predictions of microscale oxygen barometry in basaltic glasses using V K-edge X-ray absorption spectroscopy: A multivariate approach
  12. Electrical cell assembly for reproducible conductivity experiments in the multi-anvil
  13. A vibrational spectroscopic study of kernite to 25 GPa: Implications for the high-pressure stability of borate polyhedra
  14. Discreditation of bobdownsite and the establishment of criteria for the identification of minerals with essential monofluorophosphate (PO3F2–)
  15. Adrianite, Ca12(Al4Mg3Si7)O32Cl6, a new Cl-rich silicate mineral from the Allende meteorite: An alteration phase in a Ca-Al-rich inclusion
  16. MSA Distinguished Lecturer Series
  17. An accessory mineral and experimental perspective on the evolution of the early crust
  18. Letter
  19. POLARIO, a computer program for calculating refractive indices from chemical compositions
  20. Book Review
  21. Book Review
  22. Erratum
  23. Erratum
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