Energy spectrum and optical properties of bromide fullerene C$_{70}$Br$_{10}$ within the Hubbard model

The energy spectrum of molecule C$_{70}$Br$_{10}$ of symmetry group Cs were obtained within the Hubbard model in the mean-field approximation. Using group theory methods, the classification of energy states was carried out, and the allowed transitions in the energy spectrum of bromide fullerene C$_{70}$Br$_{10}$ of symmetry group Cs were determined. On the basis of this spectrum, an interpretation of experimentally observed optical absorption bands of molecule C$_{70}$Br$_{10}$ is proposed.