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Science 4 May 2001: Vol. 292. no. 5518, pp. 914 - 916 DOI: 10.1126/science.1057670
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Reports
Phonon Density of States of Iron up to 153 Gigapascals
H. K. Mao,1
J. Xu,1
V. V. Struzhkin,1
J. Shu,1
R. J. Hemley,1
W. Sturhahn,2
M. Y. Hu,2
E. E. Alp,2
L. Vocadlo,3
D. Alfè,3
G. D. Price,3
M. J. Gillan,3
M. Schwoerer-Böhning,4
D. Häusermann,4
P. Eng,5
G. Shen,5
H. Giefers,6
R. Lübbers,6
G. Wortmann6
We report phonon densities of states (DOS) of iron
measured by nuclear resonant inelastic x-ray scattering to 153 gigapascals and calculated from ab initio theory. Qualitatively, they
are in agreement, but the theory predicts density at higher energies. From the DOS, we derive elastic and thermodynamic parameters of iron,
including shear modulus, compressional and shear velocities, heat
capacity, entropy, kinetic energy, zero-point energy, and Debye
temperature. In comparison to the compressional and shear velocities
from the preliminary reference Earth model (PREM) seismic model, our
results suggest that Earth's inner core has a mean atomic number equal
to or higher than pure iron, which is consistent with an iron-nickel
alloy.
1 Geophysical Laboratory and Center for High
Pressure Research, Carnegie Institution of Washington, Washington, DC
20015, USA.
2 Advanced Photon Source, Argonne, IL
60439, USA.
3 University College London, Gower
Street, London WC1E 6BT, UK.
4 High Pressure
Collaborative Access Team (HPCAT), Advanced Photon Source, Argonne, IL
60439, USA.
5 Consortium for Advanced Radiation
Sources, University of Chicago, Chicago, IL 60637.
6 Fachbereich Physik, University of Paderborn,
D33095 Paderborn, Germany.
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