Density-of-states and partial-density-of-states functions for the cubicd-band perovskites

The electronic density-of-states and the partial-density-of-states functions for the 14 primary bands of the $\mathrm{AB}{\mathrm{O}}_3$ cubic $d$-band perovskites are derived as simple, closed form, analytical formulas with the use of an empirical linear-combinations-of-atomic-orbitals model. Comparisons of the model density functions with those derived from more accurate energy-band calculations presented for SrTi${\mathrm{O}}_3$, KTa${\mathrm{O}}_3$, and NaW${\mathrm{O}}_3$ are shown to be in good agreement.