Recent progress in using cluster models to calculate electronic structure of oxide ceramics such as transition-metal monoxides, zirconia, alpha- alumina, ruby, and copper-based superconducting oxides is reviewed. The self- consistent field local density theory is used to find potentials, energy levels, and wave functions for a fragment consisting of an N number of atoms embedded in the infinite solid. The single-particle spectra are compared with photoelectron and optical data, and ...