Electrical resistivity and thermal conductivity of hcp Fe–Ni alloys under high pressure: Implications for thermal convection in the Earth’s core

Akahama, 2004, High-pressure Raman spectroscopy of diamond anvils to 250GPa: method for pressure determination in the multimegabar pressure range, J. Appl. Phys., 96, 3748, 10.1063/1.1778482

Anderson, 1998, The Grüneisen parameter for iron at outer core conditions and the resulting conductive heat and power in the core, Phys. Earth Planet. Inter., 109, 179, 10.1016/S0031-9201(98)00123-X

Anderson, 2001, Experimental vibrational Grüneisen ratio values for ∊-iron up to 330GPa at 300K, Geophys. Res. Lett., 28, 399, 10.1029/2000GL008544

Balchan, 1961, High pressure electrical resistance cell, and calibration points above 100kilobars, Rev. Sci. Instrum., 32, 308, 10.1063/1.1717350

Bargen, 1990, Effect of non-hydrostaticity on the α-ε transition of iron, Int. J. High Press. Res., 6, 133, 10.1080/08957959008203204

Baum, 1967, Resistivity of ferrosilicon alloys in the temperature range 800–1700°C, Phys. Met. Metallogr. USSR Eng. Trans., 24, 181

Bi, 2002, Electrical conductivity of iron under shock compression up to 200GPa, J. Phys: Condens. Matter, 14, 10849

Bohnenkamp, 2002, Electrical resistivity of steels and face-centered-cubic iron, J. Appl. Phys., 92, 4402, 10.1063/1.1502182

Boness, 1986, The electronic thermodynamics of iron under Earth core conditions, Phys. Earth Planet. Inter., 42, 227, 10.1016/0031-9201(86)90025-7

Bridgman, 1957, Effects of pressure on binary alloys V fifteen alloys of metals of moderately high melting point, Proc. Am. Acad. Arts Sci., 131

Bullard, 1948, The secular change in the Earth’s magnetic field, Geophys. Suppl. Mon. Notices R. Astron. Soc., 5, 248, 10.1111/j.1365-246X.1948.tb02940.x

Bullard, 1949, The magnetic field within the Earth, Proc. R. Soc. London Ser. A, 197, 433, 10.1098/rspa.1949.0074

Cottaar, 2012, Convection in the Earth’s inner core, Phys. Earth Planet. Inter., 198, 67, 10.1016/j.pepi.2012.03.008

Davies, 2007, Mantle regulation of core cooling: a geodynamo without core radioactivity?, Phys. Earth Planet. Inter., 160, 215, 10.1016/j.pepi.2006.11.001

de Koker, 2012, Electrical resistivity and thermal conductivity of liquid Fe alloys at high P and T, and heat flux in Earth’s core, Proc. Natl. Acad. Sci., 109, 4070, 10.1073/pnas.1111841109

Deguen, 2012, Structure and dynamics of Earth’s inner core, Earth Planet. Sci. Lett., 333–334, 211, 10.1016/j.epsl.2012.04.038

Deguen, 2011, Thermochemical convection in Earth’s inner core, Geophys. J. Int., 187, 1101, 10.1111/j.1365-246X.2011.05222.x

Dewaele, 2006, Quasihydrostatic equation of state of iron above 2Mbar, Phys. Rev. Lett., 97, 215504, 10.1103/PhysRevLett.97.215504

Dziewonski, 1981, Preliminary reference Earth model, Phys. Earth Planet. Inter., 25, 297, 10.1016/0031-9201(81)90046-7

Elsasser, 1946, Induction effects in terrestrial magnetism part II. The secular variation, Phys. Rev., 70, 202, 10.1103/PhysRev.70.202

Evans, 1972, Calculations of electrical transport properties of liquid metals at high pressures, Phys. Earth Planet. Inter., 6, 141, 10.1016/0031-9201(72)90046-5

Faber, 1972

Gardiner, 1971, Electrical resistivity of the core, Phys. Earth Planet. Inter., 4, 406, 10.1016/0031-9201(71)90022-7

Garg, 2004, Electrical resistance measurements in a diamond anvil cell to 40GPa on ytterbium, Rev. Sci. Instrum., 75, 2475, 10.1063/1.1763255

Gilvarry, 1956, The Lindemann and Grüneisen laws, Phys. Rev., 102, 308, 10.1103/PhysRev.102.308

Gomi, 2013, The high conductivity of iron and thermal evolution of the Earth’s core, Phys. Earth Planet. Inter., 224, 88, 10.1016/j.pepi.2013.07.010

Gubbins, 2013, Compositional instability of Earth’s solid inner core, Geophys. Res. Lett., 40, 1084, 10.1002/grl.50186

Gurvitch, 1981, Ioffe-Regel criterion and resistivity of metals, Phys. Rev. B, 24, 7404, 10.1103/PhysRevB.24.7404

Hirose, 2013, Composition and state of the core, Ann. Rev. Earth Planet. Sci., 41, 657, 10.1146/annurev-earth-050212-124007

Ho, 1983, Electrical resistivity of ten selected binary alloy systems, J. Phys. Chem. Ref. Data, 12, 183, 10.1063/1.555684

Imada, 2014, Measurements of lattice thermal conductivity of MgO to core-mantle boundary pressures, Geophys. Res. Lett., 41, 4542, 10.1002/2014GL060423

Jaccard, 2002, Superconductivity of ε-Fe: complete resistive transition, Phys. Lett. A, 299, 282, 10.1016/S0375-9601(02)00725-9

Jain, 1972, Calculation of the electrical resistivity of liquid iron in the earth’s core, Nature, 235, 165

Johnston, 1973, Electrical conductivity of molten Fe–Ni–S–C core mix, Phys. Earth Planet. Inter., 7, 219, 10.1016/0031-9201(73)90013-7

Keeler, 1969, Electrical conductivity, demagnetization, and the high-pressure phase transition in shock-compressed iron, Solid State Commun., 7, 271, 10.1016/0038-1098(69)90397-4

Kiarasi, S., 2013. High pressure-temperature electrical resistivity experiments on Fe–Si alloys bearing on conductive heat flow at the top of the outer core. University of Western Ontario – Electronic Thesis and Dissertation Repository. Paper 1793.

Kuznetsov, 2007, In-situ combined X-ray diffraction and electrical resistance measurements at high pressures and temperatures in diamond anvil cells, High Press. Res., 27, 213, 10.1080/08957950701254197

Labrosse, 2003, Thermal and magnetic evolution of the Earth’s core, Phys. Earth Planet. Inter., 140, 127, 10.1016/j.pepi.2003.07.006

Labrosse, 2014, Thermal and compositional stratification of the inner core, C. R. Geosci., 346, 119, 10.1016/j.crte.2014.04.005

Labrosse, 1997, On cooling of the Earth’s core, Phys. Earth Planet. Inter., 99, 1, 10.1016/S0031-9201(96)03207-4

Lawson, 1956, The effect of hydrostatic pressure on the electrical resistivity of metals, Prog. Met. Phys., 6, 1, 10.1016/0502-8205(56)90003-X

Lay, 2008, Core–mantle boundary heat flow, Nat. Geosci., 1, 25, 10.1038/ngeo.2007.44

Lister, 1998, Stratification of the outer core at the core-mantle boundary, Phys. Earth Planet. Inter., 105, 5, 10.1016/S0031-9201(97)00082-4

Matassov, G., 1977. The electrical conductivity of iron-silicon alloys at high pressures and the Earth’s core.

Mertig, 1999, Transport properties of dilute alloys, Rep. Prog. Phys., 62, 237, 10.1088/0034-4885/62/2/004

Mooij, 1973, Electrical conduction in concentrated disordered transition metal alloys, Phys. Status Solidi (a), 17, 521, 10.1002/pssa.2210170217

Mott, 1972, The electrical resistivity of liquid transition metals, Philos. Mag., 26, 1249, 10.1080/14786437208220339

Mott, N.F., Jones, H., 1958. The theory of the properties of metals and alloys. Courier Dover Pub.

Nomura, 2014, Low core-mantle boundary temperature inferred from the solidus of pyrolite, Science, 343, 522, 10.1126/science.1248186

Ohta, 2012, Lattice thermal conductivity of MgSiO3 perovskite and post-perovskite at the core-mantle boundary, Earth Planet. Sci. Lett., 349–350, 109, 10.1016/j.epsl.2012.06.043

Poirier, 2000

Pozzo, 2012, Thermal and electrical conductivity of iron at Earth’s core conditions, Nature, 485, 355, 10.1038/nature11031

Pozzo, 2013, Transport properties for liquid silicon-oxygen-iron mixtures at Earth’s core conditions, Phys. Rev. B, 87, 014110, 10.1103/PhysRevB.87.014110

Pozzo, 2014, Thermal and electrical conductivity of solid iron and iron–silicon mixtures at Earth’s core conditions, Earth Planet. Sci. Lett., 393, 159, 10.1016/j.epsl.2014.02.047

Reichlin, 1983, Measuring the electrical resistance of metals to 40 GPa in the diamond-anvil cell, Rev. Sci. Instrum., 54, 1674, 10.1063/1.1137308

Sata, 2010, Compression of FeSi, Fe3C, Fe0. 95O, and FeS under the core pressures and implication for light element in the Earth’s core, J. Geophys. Res.: Solid Earth, 115, B09204, 10.1029/2009JB006975

Seagle, 2013, Electrical and thermal transport properties of iron and iron-silicon alloy at high pressure, Geophys. Res. Lett., 40, 5377, 10.1002/2013GL057930

Secco, 1989, The electrical resistivity of solid and liquid Fe at pressures up to 7GPa, J. Geophys. Res.: Solid Earth, 94, 5887, 10.1029/JB094iB05p05887

Sha, 2011, First-principles studies of electrical resistivity of iron under pressure, J. Phys.: Condens. Matter, 23, 075401

Stacey, 2001, Electrical and thermal conductivities of Fe–Ni–Si alloy under core conditions, Phys. Earth Planet. Inter., 124, 153, 10.1016/S0031-9201(01)00186-8

Stacey, 2007, A revised estimate of the conductivity of iron alloy at high pressure and implications for the core energy balance, Phys. Earth Planet. Inter., 161, 13, 10.1016/j.pepi.2006.12.001

Stevenson, 2003, Planetary magnetic fields, Earth Planet. Sci. Lett., 208, 1, 10.1016/S0012-821X(02)01126-3

Tsiovkin, 2005, Residual electrical resistivity in dilute nonmagnetic alloys of transition metals, Phys. Rev. B, 71, 184206, 10.1103/PhysRevB.71.184206

Tsiovkin, 2006, Theory of the residual resistivity of dilute alloys of nonmagnetic 3d–5d transition metals, Low Temp. Phys., 32, 863, 10.1063/1.2356843

Vafayi, 2006, Electronic thermal conductivity at high temperatures: violation of the Wiedemann–Franz law in narrow-band metals, Phys. Rev. B, 74, 235116, 10.1103/PhysRevB.74.235116

Van Zytveld, 1980, Electrical resistivities of liquid transition metals, Le J. Phys. Colloq., 41

Vočadlo, 2003, The properties of iron under core conditions from first principles calculations, Phys. Earth Planet. Inter., 140, 101, 10.1016/j.pepi.2003.08.001

Yukutake, 1998, Implausibility of thermal convection in the Earth’s solid inner core, Phys. Earth Planet. Inter., 108, 1, 10.1016/S0031-9201(98)00097-1

Zhang, 2015, Effects of electron correlations on transport properties of iron at Earth’s core conditions, Nature, 517, 605, 10.1038/nature14090