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Viscosity of Earth’s inner core constrained by Fe–Ni interdiffusion in Fe–Si alloy in an internal-resistive-heated diamond anvil cell

  • Yohan Park , Kyoko Yonemitsu , Kei Hirose , Yasuhiro Kuwayama , Shintaro Azuma and Kenji Ohta ORCID logo
Published/Copyright: May 31, 2023
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Abstract

Diffusivity in iron (Fe) alloys at high pressures and temperatures imposes constraints on the transport properties of the inner core, such as viscosity. Because silicon (Si) is among the most likely candidates for light elements in the inner core, the presence of Si must be considered when studying difusivity in the Earth’s inner core. In this study, we conducted diffusion experiments under pressures up to about 50 GPa using an internal-resistive-heated diamond-anvil cell (DAC) that ensures stable and homogeneous heating compared with a conventional laser-heated DAC and thus allows us to conduct more reliable difusion experiments under high pressure. We determined the coeficients of Fe–nickel (Ni) interdiffusion in the Fe–Si 2 wt% alloy. The obtained difusion coeficients follow a homologous temperature relationship derived from previous studies without considering Si. This indicates that the efect of Si on Fe–Ni interdifusion is not significant. The upper limit of the viscosity of the inner core inferred from our results is low, indicating that the Lorentz force is a plausible mechanism to deform the inner core.

Funding statement: This study was supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI (grant number 19H00716).

References cited

Akahama, Y. and Kawamura, H. (2006) Pressure calibration of diamond anvil Raman gauge to 310 GPa. Journal of Applied Physics, 100, 043516, https://doi.org/10.1063/1.2335683Search in Google Scholar

Antonangeli, D., Siebert, J., Badro, J., Farber, D.L., Fiquet, G., Morard, G., and Ryerson, F.J. (2010) Composition of the Earth’s inner core from high-pressure sound velocity measurements in Fe-Ni-Si alloys. Earth and Planetary Science Letters, 295, 292–296, https://doi.org/10.1016/j.epsl.2010.04.018Search in Google Scholar

Badro, J., Fiquet, G., Guyot, F., Gregoryanz, E., Occelli, F., Antonangeli, D., and d’Astuto, M. (2007) Effect of light elements on the sound velocities in solid iron: Implications for the composition of Earth’s core. Earth and Planetary Science Letters, 254, 233–238, https://doi.org/10.1016/j.epsl.2006.11.025Search in Google Scholar

Blum, W., Eisenlohr, P., and Breutinger, F. (2002) Understanding creep—A review. Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science, 33, 291–303, https://doi.org/10.1007/s11661-002-0090-9Search in Google Scholar

Bono, R.K., Tarduno, J.A., Nimmo, F., and Cottrell, R.D. (2019) Young inner core inferred from Ediacaran ultra-low geomagnetic field intensity. Nature Geoscience, 12, 143–147, https://doi.org/10.1038/s41561-018-0288-0Search in Google Scholar

Boullier, A.M. and Gueguen, Y. (1975) SP-Mylonites: Origin of some mylonites by superplastic flow. Contributions to Mineralogy and Petrology, 50, 93–104, https://doi.org/10.1007/BF00373329Search in Google Scholar

Brown, A. and Ashby, M. (1980) Correlations for diffusion constants. Acta Metallurgica, 28, 1085–1101, https://doi.org/10.1016/0001-6160(80)90092-9Search in Google Scholar

Buffett, B.A. (1997) Geodynamic estimates of the viscosity of the Earth’s inner core. Nature, 388, 571–573, https://doi.org/10.1038/41534Search in Google Scholar

Buffett, B.A. and Bloxham, J. (2000) Deformation of Earth’s inner core by electromagnetic forces. Geophysical Research Letters, 27, 4001–4004, https://doi.org/10.1029/2000GL011790Search in Google Scholar

Cormier, V.F. and Li, X. (2002) Frequency-dependent seismic attenuation in the inner core 2. A scattering and fabric interpretation. Journal of Geophysical Research: Solid Earth, 107, ESE14-11–ESE14-15.Search in Google Scholar

Crank, J. (1975) The Mathematics of Diffusion, 414 p. Oxford University Press.Search in Google Scholar

Davies, C.J., Stegman, D.R., and Dumberry, M. (2014) The strength of gravitational core-mantle coupling. Geophysical Research Letters, 41, 3786–3792, https://doi.org/10.1002/2014GL059836Search in Google Scholar

Deguen, R. (2012) Structure and dynamics of Earth’s inner core. Earth and Planetary Science Letters, 333–334, 211–225, https://doi.org/10.1016/j.epsl.2012.04.038Search in Google Scholar

Fei, Y., Murphy, C., Shibazaki, Y., Shahar, A., and Huang, H. (2016) Thermal equation of state of hcp-iron: Constraint on the density deficit of Earth’s solid inner core. Geophysical Research Letters, 43, 6837–6843, https://doi.org/10.1002/2016GL069456Search in Google Scholar

Fischer, R.A., Campbell, A.J., Reaman, D.M., Miller, N.A., Heinz, D.L., Dera, P., and Prakapenka, V.B. (2013) Phase relations in the Fe–FeSi system at high pressures and temperatures. Earth and Planetary Science Letters, 373, 54–64, https://doi.org/10.1016/j.epsl.2013.04.035Search in Google Scholar

Frost, D.A., Lasbleis, M., Chandler, B., and Romanowicz, B. (2021) Dynamic history of the inner core constrained by seismic anisotropy. Nature Geoscience, 14, 531–535, https://doi.org/10.1038/s41561-021-00761-wSearch in Google Scholar

Goldstein, J.J., Hanneman, R.E., and Ogilvie, R.G. (1965) Diffusion in the Fe-Ni system at 1 atm and 40 Kbar pressure. Transactions of the American Institute of Mining, Metallurgical and Petroleum Engineers. Metallurgical Society (Trans Metall Soc AIME), 233, 812–820.Search in Google Scholar

Harper, J. and Dorn, J.E. (1957) Viscous creep of aluminum near its melting temperature. Acta Metallurgica, 5, 654–665, https://doi.org/10.1016/0001-6160(57)90112-8Search in Google Scholar

Hirose, K., Wood, B., and Vočadlo, L. (2021) Light elements in the Earth’s core. Nature Reviews. Earth & Environment, 2, 645–658, https://doi.org/10.1038/s43017-021-00203-6Search in Google Scholar

Inoue, H., Suehiro, S., Ohta, K., Hirose, K., and Ohishi, Y. (2020) Resistivity saturation of hcp Fe-Si alloys in an internally heated diamond anvil cell: A key to assessing the Earth’s core conductivity. Earth and Planetary Science Letters, 543, 116357, https://doi.org/10.1016/j.epsl.2020.116357Search in Google Scholar

Jackson, I., Gerald, J.D.F., and Kokkonen, H. (2000) High-temperature viscoelastic relaxation in iron and its implications for the shear modulus and attenuation of the Earth’s inner core. Journal of Geophysical Research, 105 (B10), 23605–23634, https://doi.org/10.1029/2000JB900131Search in Google Scholar

Jeanloz, R. and Wenk, H.-R. (1988) Convection and anisotropy of the inner core. Geophysical Research Letters, 15, 72–75, https://doi.org/10.1029/GL015i001p00072Search in Google Scholar

Karato, S.-i. (1999) Seismic anisotropy of the Earth’s inner core resulting from flow induced by Maxwell stresses. Nature, 402, 871–873, https://doi.org/10.1038/47235Search in Google Scholar

Komabayashi, T. (2020) Thermodynamics of the system Fe-Si-O under high pressure and temperature and its implications for Earth’s core. Physics and Chemistry of Minerals, 47, 32, https://doi.org/10.1007/s00269-020-01102-wSearch in Google Scholar

Komabayashi, T., Pesce, G., Morard, G., Antonangeli, D., Sinmyo, R., and Mezouar, M. (2019) Phase transition boundary between fcc and hcp structures in Fe-Si alloy and its implications for terrestrial planetary cores. American Mineralogist, 104, 94–99, https://doi.org/10.2138/am-2019-6636Search in Google Scholar

Koot, L. and Dumberry, M. (2011) Viscosity of the Earth’s inner core: Constraints from nutation observations. Earth and Planetary Science Letters, 308, 343–349, https://doi.org/10.1016/j.epsl.2011.06.004Search in Google Scholar

Lasbleis, M. and Deguen, R. (2015) Building a regime diagram for the Earth’s inner core. Physics of the Earth and Planetary Interiors, 247, 80–93, https://doi.org/10.1016/j.pepi.2015.02.001Search in Google Scholar

Mao, Z., Lin, J.-F., Liu, J., Alatas, A., Gao, L., Zhao, J., and Mao, H.-K. (2012) Sound velocities of Fe and Fe-Si alloy in the Earth’s core. Proceedings of the National Academy of Sciences, 109, 10239–10244, https://doi.org/10.1073/pnas. 1207086109.https://doi.org/10.1073/pnas.1207086109.Search in Google Scholar

Mehrer, H. (2007) Diffusion in Solids: Fundamentals, methods, materials, diffusion-controlled processes, 673 p. SpringerSearch in Google Scholar

Nishihara, Y., Ohuchi, T., Kawazoe, T., Seto, Y., Maruyama, G., Higo, Y., Funakoshi, K.-i., Tange, Y., and Irifune, T. (2018) Deformation-induced crystallographic-preferred orientation of hcp-iron: An experimental study using a deformation-DIA apparatus. Earth and Planetary Science Letters, 490, 151–160, https://doi.org/10.1016/j.epsl.2018.03.029Search in Google Scholar

Ohta, K., Kuwayama, Y., Hirose, K., Shimizu, K., and Ohishi, Y. (2016) Experimental determination of the electrical resistivity of iron at Earth’s core conditions. Nature, 534, 95–98, https://doi.org/10.1038/nature17957Search in Google Scholar

Olson, P., Deguen, R., Rudolph, M.L., and Zhong, S. (2015) Core evolution driven by mantle global circulation. Physics of the Earth and Planetary Interiors, 243, 44–55, https://doi.org/10.1016/j.pepi.2015.03.002Search in Google Scholar

Poupinet, G., Pillet, R., and Souriau, A. (1983) Possible heterogeneity of the Earth’s core deduced from PKIKP travel times. Nature, 305, 204–206, https://doi.org/10.1038/305204a0Search in Google Scholar

Reaman, D.M., Daehn, G.S., and Panero, W.R. (2011) Predictive mechanism for anisotropy development in the Earth’s inner core. Earth and Planetary Science Letters, 312, 437–442, https://doi.org/10.1016/j.epsl.2011.10.038Search in Google Scholar

Reaman, D.M., Colijn, H.O., Yang, F., Hauser, A.J., and Panero, W.R. (2012) Inter-diffusion of Earth’s core materials to 65 GPa and 2200 K. Earth and Planetary Science Letters, 349-350, 8–14, https://doi.org/10.1016/j.epsl.2012.06.053Search in Google Scholar

Ritterbex, S. and Tsuchiya, T. (2020) Viscosity of hcp iron at Earth’s inner core conditions from density functional theory. Scientific Reports, 10, 6311, https://doi.org/10.1038/s41598-020-63166-6Search in Google Scholar

Romanowicz, B. and Wenk, H.-R. (2017) Anisotropy in the deep Earth. Physics of the Earth and Planetary Interiors, 269, 58–90, https://doi.org/10.1016/j.pepi.2017.05.005Search in Google Scholar

Sakairi, T., Sakamaki, T., Ohtani, E., Fukui, H., Kamada, S., Tsutsui, S., Uchiyama, H., and Baron, A.Q. (2018) Sound velocity measurements of hcp Fe-Si alloy at high pressure and high temperature by inelastic X-ray scattering. American Mineralogist, 103, 85–90, https://doi.org/10.2138/am-2018-6072Search in Google Scholar

Sinmyo, R., Hirose, K., and Ohishi, Y. (2019) Melting curve of iron to 290 GPa determined in a resistance-heated diamond-anvil cell. Earth and Planetary Science Letters, 510, 45–52, https://doi.org/10.1016/j.epsl.2019.01.006Search in Google Scholar

Suehiro, S., Wakamatsu, T., Ohta, K., Hirose, K., and Ohishi, Y. (2019) High-temperature electrical resistivity measurements of hcp iron to Mbar pressure in an internally resistive heated diamond anvil cell. High Pressure Research, 39, 579–587, https://doi.org/10.1080/08957959.2019.1692008Search in Google Scholar

Takehiro, S.-I. (2011) Fluid motions induced by horizontally heterogeneous Joule heating in the Earth’s inner core. Physics of the Earth and Planetary Interiors, 184, 134–142, https://doi.org/10.1016/j.pepi.2010.11.002Search in Google Scholar

Tanaka, S. and Hamaguchi, H. (1997) Degree one heterogeneity and hemispherical variation of anisotropy in the inner core from PKP (BC)–PKP (DF) times. Journal of Geophysical Research, 102 (B2), 2925–2938, https://doi.org/10.1029/96JB03187Search in Google Scholar

Tateno, S., Hirose, K., Ohishi, Y., and Tatsumi, Y. (2010) The structure of iron in Earth’s inner core. Science, 330, 359–361, https://doi.org/10.1126/science. 1194662.https://doi.org/10.1126/science.1194662.Search in Google Scholar

Tateno, S., Kuwayama, Y., Hirose, K., and Ohishi, Y. (2015) The structure of Fe-Si alloy in Earth’s inner core. Earth and Planetary Science Letters, 418, 11–19, https://doi.org/10.1016/j.epsl.2015.02.008Search in Google Scholar

Tsujino, N., Nishihara, Y., Nakajima, Y., Takahashi, E., Funakoshi, K.-i., and Higo, Y. (2013) Equation of state of γ-Fe: Reference density for planetary cores. Earth and Planetary Science Letters, 375, 244–253, https://doi.org/10.1016/j.epsl.2013.05.040Search in Google Scholar

Van Orman, J.A. (2004) On the viscosity and creep mechanism of Earth’s inner core. Geophysical Research Letters, 31, L20606, https://doi.org/10.1029/2004GL021209Search in Google Scholar

Vočadlo, L., Dobson, D.P., and Wood, I.G. (2009) Ab initio calculations of the elasticity of hcp-Fe as a function of temperature at inner-core pressure. Earth and Planetary Science Letters, 288, 534–538, https://doi.org/10.1016/j.epsl.2009.10.015Search in Google Scholar

Weertman, J. (1957) Steady-state creep through dislocation climb. Journal of Applied Physics, 28, 362–364, https://doi.org/10.1063/1.1722747Search in Google Scholar

Yamazaki, D., Tsujino, N., Yoneda, A., Ito, E., Yoshino, T., Tange, Y., and Higo, Y. (2017) Grain growth of ε-iron: Implications to grain size and its evolution in the Earth’s inner core. Earth and Planetary Science Letters, 459, 238–243, https://doi.org/10.1016/j.epsl.2016.11.049Search in Google Scholar

Yoshida, S., Sumita, I., and Kumazawa, M. (1996) Growth model of the inner core coupled with the outer core dynamics and the resulting elastic anisotropy. Journal of Geophysical Research, 101 (B12), 28085–28103, https://doi.org/10.1029/96JB02700Search in Google Scholar

Yunker, M.L. and Van Orman, J.A. (2007) Interdiffusion of solid iron and nickel at high pressure. Earth and Planetary Science Letters, 254, 203–213, https://doi.org/10.1016/j.epsl.2006.11.036Search in Google Scholar

Received: 2022-03-30
Accepted: 2022-07-07
Published Online: 2023-05-31
Published in Print: 2023-06-27

© 2023 by Mineralogical Society of America

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