Transition metal disulfides of pyrite structure have recently attracted muc
h interest again due to their large variety of electronic, magnetic, and op
tical properties. The semiconductor iron pyrite (FeS2) shows, for instance,
an unusual blueshift of the optical gap under pressure. We present a full-
potential total energy calculation of iron pyrite using density functional
theory with a nonorthogonal local orbital minimum basis scheme. A sophistic
ated decomposition of the crystal potential and density into a lattice sum
of local overlapping nonspherical contributions gives our approach a high n
umerical efficiency and makes it well suited for open structures like pyrit
e. For the decomposition of the exchange and correlation potential we intro
duced a technique of partitioning of unity based on Voronoi polyhedra. We o
btain a sufficiently good agreement between our calculations and experiment
al values for the lattice constant, the positions of the sulfur atoms in th
e lattice, the bulk modulus, and the frequency of the A(g) phonon mode to m
ake a reliable study of the effect of isotropic external pressure on the el
ectronic structure of pyrite and to obtain insight into the optical propert
ies of pyrite. [S0163-1829(99)06843-5].