A combination of periodic Hartree-Fock theory, quasiharmonic lattice d
ynamics, and molecular dynamics is used to study the behavior of MgF2
at elevated temperatures and/or high pressures, Particular attention i
s paid to the pressure-induced transition from the rutile to the fluor
ite structure in view of earlier theoretical estimates of the transiti
on pressure, which differ widely. It is shown that previously reported
potentials obtained by fitting to empirical data fail to reproduce th
ermodynamic properties. To rectify this, a new set of consistent two-b
ody potentials has been derived from nb initio periodic Hartree-Fock c
alculations. Lattice dynamics calculations in the quasiharmonic approx
imation based on these potentials has been used to study the two phase
s of MgF2 at high T and P. The resulting transition pressure and that
obtained directly from Hartree-Fock calculations in the static limit a
re both less than or equal to 30 GPa, which is close to the experiment
al value but appreciably lower than a previous molecular dynamics valu
e of over 130 GPa. The variation of quantities such as (partial deriva
tive P/dT)(V) which play a central role in the formulation of approxim
ate equations of state is also considered. (C) 1997 American Institute
of Physics.