Equations of State and Anisotropy of Fe-Ni-Si Alloys

Morrison, Rachel A.; Jackson, Jennifer M.; Sturhahn, Wolfgang; Zhang, Dongzhou; Greenberg, Eran

doi:10.1029/2017JB015343

Title: Equations of State and Anisotropy of Fe-Ni-Si Alloys

Journal Article · Mon Apr 30 00:00:00 EDT 2018 · Journal of Geophysical Research. Solid Earth

DOI:https://doi.org/10.1029/2017JB015343· OSTI ID:1467688

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California Inst. of Technology (CalTech), Pasadena, CA (United States)
Univ. of Hawaii at Manoa, Honolulu, HI (United States); Univ. of Chicago, Argonne, IL (United States)
Univ. of Chicago, Chicago, IL (United States)

We present powder X–ray diffraction data on body centered cubic (bcc)– and hexagonal close packed (hcp)–structured Fe_0.91Ni_0.09 and Fe_0.8Ni_0.1Si_0.1 at 300 K up to 167 and 175 GPa, respectively. The alloys were loaded with tungsten powder as a pressure calibrant and helium as a pressure transmitting medium into diamond anvil cells, and their equations of state and axial ratios were measured with high statistical quality. These equations of state are combined with thermal parameters from previous reports to improve the extrapolation of the density, adiabatic bulk modulus, and bulk sound speed to the pressures and temperatures of Earth's inner core. We propagate uncertainties and place constraints on the composition of Earth's inner core by combining these results with available data on light–element alloys of iron and seismic observations. For example, the addition of 4.3 to 5.3 wt% silicon to Fe_0.95Ni_0.05 alone can explain geophysical observations of the inner core boundary, as can up to 7.5 wt% sulfur with negligible amounts of silicon and oxygen. Our findings favor an inner core with less than ~2 wt% oxygen and less than 1 wt% carbon, although uncertainties in electronic and anharmonic contributions to the equations of state may shift these values. The compositional space widens toward the center of the Earth, considering inner core seismic gradients. Here, we demonstrate that hcp–Fe_0.91Ni_0.09 and hcp–Fe_0.8Ni_0.1Si_0.1 have measurably greater c/a axial ratios than those of hcp–Fe over the measured pressure range. Here, we further investigate the relationship between the axial ratios, their pressure derivatives, and elastic anisotropy of hcp–structured materials.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Organization:: DODNSFOTHER; USDOE

OSTI ID:: 1467688

Journal Information:: Journal of Geophysical Research. Solid Earth, Vol. 123, Issue 6; ISSN 2169-9313

Publisher:: American Geophysical UnionCopyright Statement

Country of Publication:: United States

Language:: ENGLISH

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Cited by: 16 works

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The elastic properties of hcp-Fe 1−x Si x at Earth's inner-core conditions Martorell, Benjamí; Wood, Ian G.; Brodholt, John Earth and Planetary Science Letters, Vol. 451 https://doi.org/10.1016/j.epsl.2016.07.018	journal	October 2016
X-ray strain analysis at high pressure: Effect of plastic deformation in MgO Li, Li; Weidner, Donald J.; Chen, Jiuhua Journal of Applied Physics, Vol. 95, Issue 12 https://doi.org/10.1063/1.1738532	journal	June 2004
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Elastic constants and anisotropy in FeNi alloys at high pressures from first-principles calculations Asker, C.; Vitos, L.; Abrikosov, I. A. Physical Review B, Vol. 79, Issue 21 https://doi.org/10.1103/PhysRevB.79.214112	journal	June 2009
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X-ray diffraction study of the single-crystal elastic moduli of ε-Fe up to 30 GPa Merkel, Sébastien Journal of Geophysical Research, Vol. 110, Issue B5 https://doi.org/10.1029/2004JB003197	journal	January 2005
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Sound velocities and density measurements of solid hcp-Fe and hcp-Fe–Si (9 wt.%) alloy at high pressure: Constraints on the Si abundance in the Earth's inner core Antonangeli, Daniele; Morard, Guillaume; Paolasini, Luigi Earth and Planetary Science Letters, Vol. 482 https://doi.org/10.1016/j.epsl.2017.11.043	journal	January 2018
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Thermodynamics of melting relations in the system Fe-FeO at high pressure: Implications for oxygen in the Earth's core Komabayashi, Tetsuya Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 5 https://doi.org/10.1002/2014JB010980	journal	May 2014
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