The structural and electronic properties of four different polytypes of zir
conia (ZrO2) are studied using ab initio total-energy calculations. The cal
culations are performed in the framework of density-functional theory (DFT)
and pseudopotential theory. We compare results Obtained within the LDA (lo
cal-density approximation) and including generalized gradient corrections (
GGC's) in the Perdew-Wang and Perdew-Becke formalisms. Within this approach
, we are able to predict the correct monoclinic ground state at low pressur
e and temperature. We show that GGC's are necessary to correctly describe t
he high-pressure orthorhombic structure of zirconia. The tetragonal-to-cubi
c phase transition was studied assuming a martensitic-displacive mechanism
following the approach of Jansen [Phys. Rev. B 43, 7267 (1991)].