We perform first-principles calculations of structural, dielectric, an
d lattice-dynamical properties of cubic GaN. The equilibrium structure
is obtained using the plane-wave pseudopotential approach within the
density-functional theory and local-density approximation. The dielect
ric and vibrational properties are computed within the density-functio
nal perturbation theory. The effect of the Ga 3d electrons is treated
by taking into account the nonlinear core corrections for the exchange
and correlation energy. The importance of 3d electrons for the bondin
g strength is determined, and their influence on the dielectric and dy
namical properties of GaN is analyzed and discussed.