  We report neutron diffraction data on single crystal PrO2 which reveal a
cooperative Jahn-Teller distortion at TD = 120 +/- 2 K. Below this temperature
an internal distortion of the oxygen sublattice causes the unit cell of the
crystallographic structure to become doubled along one crystal axis. We discuss
several possible models for this structure. The antiferromagnetic structure
below TN = 13.5 K is found to consist of two components, one of which shares
the same doubled unit cell as the distorted crystallographic structure. We also
present measurements of the magnetic susceptibility, the specific heat capacity
and the electrical conductivity of PrO2. The susceptibility data show an
anomaly at a temperature close to TD. From the specific heat capacity data we
deduce that the ground state is doubly degenerate, consistent with a distortion
of the cubic local symmetry. We discuss possible mechanisms for this. The
conductivity shows an activated behaviour with an activation energy Ea = 0.262
+/- 0.003 eV.
