  The behavior of LuLiF4 sheelite (I41/a, Z = 4) under hydrostatic pressure was
investigated by means of the first principles calculations. The ferroelastic
phase transition from the tetragonal structure of LuLiF4 to fergusonite
structure (C12/c1, Z = 4) has been found at 10.5 GPa. It has been determined
that this is the second order phase transition.
