Universality of the Empty-Lattice Approximation to Predict the Topology of Energy Spectra of High-Symmetry Crystals and Superlattices Based upon Them

O$\text{}_{h}^{7}$, T$\text{}_{d}^{2}$ and O$\text{}_{h}^{5}$ symmetry crystals were discussed to demonstrate universality of the empty-lattice approximation to obtain the topology and symmetry of the elementary energy bands creating the valence band of those crystals and to predict a localization of the maximum of valence electron density distribution in the unit cell. The elaborated concept of the elementary energy bands was applied to the (GaAs)$\text{}_{5}$/(AlAs)$\text{}_{5}$ superlattice and ordered solid solution Pb$\text{}_{0.5}$Sn$\text{}_{0.5}$S.