Physics
Scientific paper
Aug 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001pepi..124..153s&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 124, Issue 3-4, p. 153-162.
Physics
22
Scientific paper
Extrapolation to core conditions of laboratory observations of electrical resistivities of iron and its alloys has been hampered by lack of understanding of interactions between the effects of temperature, pressure and impurities. We present a new theory that offers a simple resolution of the combined temperature and pressure effects: for a pure metal they can be represented by constant resistivity on the melting curve. On this basis the resistivity of pure iron under conditions in the outermost part of the core would be 1.22μΩm. This reduces the estimation of core resistivity to an assessment of the impurity effect. Measurements by P.W. Bridgman on a range of iron alloys up to 10GPa show that, for dilute alloys, impurity resistivity is proportional to total impurity content but relatively insensitive to which elements are present. Therefore, we use measurements by G. Matassov on Fe-Si alloys shock-compressed to 140GPa to estimate the impurity contribution to core resistivity. Comparison with similar data for Fe and Fe-Ni alloy shows that under these conditions the effect of Si is only twice that of Ni on an atomic percent basis (and precisely the same on a weight percent basis). We estimate the total core resistivity to be about 2.1μΩm with little variation in the outer core and 1.6μΩm in the inner core. Allowing for a lattice thermal conductivity of 3Wm-1K-1 the corresponding thermal conductivities are 46Wm-1K-1 at the CMB, 63Wm-1K-1 just above the ICB and 79Wm-1K-1 in the inner core.
Anderson Orson L.
Stacey Frank D.
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