Electronic-structure calculations are performed, within the local-dens
ity approximation to the density-functional theory, using the full-pot
ential Linear muffin-tin orbital method to understand the relation bet
ween structural and electronic properties of ReO3, WO3, and the stoich
iometric tungsten bronze NaWO3. Energy changes associated with small d
eformations from the cubic phase indicate that ReO, and the tungsten b
ronze an stable when cubic while the W ion in WO3 shows a tendency to
off-center displacements. The different behavior is explained by exami
ning the band structure of the compounds. Calculated frequencies and e
igenvectors of Gamma phonons in ReO3 corroborate the existence of high
-frequency modes in this crystal which supports a recent theoretical p
roposal for the interpretation of its electrical resistivity.