The inferred density of the solid inner core indicates that it is predomina
ntly made of iron. In order to indicates that it is predominantly made of i
ron. In order to interpret the observed seismic anisotropy and understand t
he high pressure and temperature behaviour of the core, it is essential to
establish the crystal structure of iron under core conditions. On the basis
of extrapolated experimental data, a number of candidate structures for th
e high PIT iron phase have been proposed, namely, body-centred cubic (bcc),
body-centred tetragonal (bct), hexagonal close-packed (hcp), double-hexago
nal close-packed (dhcp) and an orthorhombically distorted hcp polymorph (Ma
tsui, 1993; Stixrude and Cohen, 1995; Boehler, 1993; Saxena et al., 1996; A
ndrault et al., 1997). Here we present the results of the first fully ab in
itio free energy calculations for all of these polymorphs of iron at core p
ressures and temperatures. Our results show that hcp-Fe is the most stable
polymorph of iron under the conditions of the Earth's inner core.