Gq. Chen et Tj. Ahrens, EQUATIONS OF STATE OF ALPHA-IRON, EPSILON-IRON AND LIQUID-IRON AND IRONS MELTING CURVE - THERMODYNAMIC CALCULATIONS, Geophysical research letters, 22(1), 1995, pp. 21-24
The melting curve between epsilon and liquid iron (100GPa< P <300GPa)
has been derived by computing Gibbs free energies at high pressures an
d high temperatures from equations of state of the alpha, epsilon and
liquid phases. The most uncertainty lies in the equation of state (EOS
) of the epsilon phase. By comparing the calculations to experimental
data, the internal thermodynamic consistency of the three phases are e
xamined. The best fits to the melting curves of Boehler [1993] and Wil
liams et at [1987] can be obtained with lower bulk moduli than determi
ned by static compression. Using available equations of state of the i
ron phases, our calculations indicate that if sub-solidus iron is of t
he epsilon phase, Boehler's melting curve is thermodynamically more co
nsistent than Williams et al.'s. The problem is complicated by the pos
sible existence of a new phase between the epsilon and the liquid fiel
ds.