HR: 1340h
AN: MR43A-0875 [Abstracts]
TI: Ab Initio Molcular Dynamics Study of the High-Temperature Elastic Constants of hcp-Iron at Inner-Core
pressures.
AU: * Gannarelli, C M
EM: che.gannarelli@ucl.ac.uk
AF: Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AU: Vo\v{c}adlo, L
EM: l.vocadlo@ucl.ac.uk
AF: Department of Earth Sciences, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AU: Alf\`{e}, D
EM: d.alfe@ucl.ac.uk
AF: Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AU: Alf\`{e}, D
EM: d.alfe@ucl.ac.uk
AF: Department of Earth Sciences, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AU: Gillan, M J
EM: m.gillan@ucl.ac.uk
AF: Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AU: Price, G D
EM: d.price@ucl.ac.uk
AF: Department of Earth Sciences, University College London, Gower Street, London, WC1E 6BT
United Kingdom
AB:
It is well established that the inner core exhibits significant anisotropy with
compressional P-wave velocities which are \(\sim 3\)~% faster along the polar axis than
in the equatorial plane. Interpretation of this seismic anisotropy is hampered
by lack of clear data on the physical properties of core phases at
simultaneously high pressures and high temperatures. Although it is well known
that there are light elements alloyed to iron in the inner core, even
definitive results for the properties of pure iron at core conditions are
proving elusive. Experimental groups have put an enormous effort over the last
10--15 years into obtaining the properties of pure iron at elevated pressures
and temperatures, but above relatively modest \(P\) & \(T\) there is much
uncertainty in the results. Theoretical calculations at inner core conditions
on the hexagonal-close-packed phase of iron are achievable, but even here
there are major uncertainties on the physical properties and the nature of the
elastic anisotropy. In particular, results from previous theoretical
calculations (Steinle-Neumann et al., 2001), based on the approximate
``particle in a cell'' method, suggest that the elastic properties of hcp-Fe
change dramatically as a function of temperature. However previously we have
shown these ``particle in a cell'' method results do not accurately describe
the high \(P\), \(T\) behaviour of Fe (Gannarelli et al, 2003). Here we present
the first \textit{ab initio} molecular dynamic simulation of the finite
temperature elasticity of hcp-iron at core conditions. We conclude that again
the previously reported (Steinle-Neumann et al., 2001) simulations of the high
T behaviour of hcp Fe are in error, and we find that the sense of the elastic
anisotropy at high \(T\) is essentially similar to its athermal behaviour. This
supports the view originally expressed by Stixrude and Cohen (1995) that if the
inner core anisotropy is associated with hcp Fe, then it is consistent with
preferential alignment of Fe crystals with their \(c\)-axes closely aligned
parallel to the rotation axis of the Earth.
Steinle-Neumann, G., Stixrude, L., Cohen, R.E. and G\"{u}lseren O. (2001).
``Elasticity of iron at the temperature of the Earth's inner core'',
Nature, \textbf{413}, 57.
Gannarelli, C.M.S., Alf\`{e}, D. and Gillan, M.J. (2003).
``The particle-in-cell model for \textit{ab initio} thermodynamics: implications for the elastic anistropy of the Earth's
inner core'',
Phys. Earth Planet. Inter., \textbf{139}, 243.
Stixrude, L. and Cohen, R.E. (1995).
``High-pressure elasticity of iron and anisotropy of Earth's inner core'',
Science, \textbf{267}, 1972.
UR: http://www.cmmp.ucl.ac.uk/\~{}mjg
DE: 3909 Elasticity and anelasticity
DE: 3924 High-pressure behavior
DE: 3210 Modeling
DE: 3230 Numerical solutions
DE: 1015 Composition of the core
SC: Mineral and Rock Physics [MR]
MN: 2004 AGU Fall Meeting