Dynamical stability of body center cubic iron at the Earth's core conditions.

Luo, Wei; Johansson, Börje; Eriksson, Olle; Arapan, Sergiu; Souvatzis, Petros; Katsnelson, Mikhail I; Ahuja, Rajeev · Proc Natl Acad Sci U S A · 2010

basic_science · Level V

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Abstract

Here, using self-consistent ab initio lattice dynamical calculations that go beyond the quasiharmonic approximation, we show that the high-pressure high-temperature bcc-Fe phase is dynamically stable. In this treatment the temperature-dependent phonon spectra are derived by exciting all the lattice vibrations, in which the phonon-phonon interactions are considered. The high-pressure and high-temperature bcc-Fe phase shows standard bcc-type phonon dispersion curves except for the transverse branch, which is overdamped along the high symmetry direction Gamma-N, at temperatures below 4,500 K. When lowering the temperature down to a critical value T(C), the lattice instability of the bcc structure is reached. The pressure dependence of this critical temperature is studied at conditions relevant for the Earth's core.