Contrary to static-energy predictions favoring a hexagonal-close-packe
d phase, heavy rare gases solidify into a face-centered-cubic phase ov
er a large temperature range. Our recent perturbation theory and hard-
sphere radial distribution functions are applied to give a conclusive
calculation that agrees with experiment near the melting lines of heav
y-rare-gas solids. The observed stability is due to thermal contributi
ons to the Helmholtz free energy which far exceed the opposing static
term. The Lennard-Jones potentials used here reproduce melting data of
these solids to 1 GPa.