  We apply the pseudopotential density functional perturbation theory approach
along with the quasiharmonic approximation to calculate the thermal expansion
of tungsten and two important metallic alloys, NiAl and PdTi. We derive the
theory for anisotropic crystal structures and test the approximation that the
anisotropic effects of thermal expansion are equivalent to negative pressure -
this simplifies the calculation enormously for complex structures. Throughout,
we find excellent agreement with experimental results.
