Energy spectrum exohedral fullerene C70Br10 with the Cs symmetry groups have been obtained within the Hubbard model and static fluctuation approximation. The energy states have been classified using the methods of group theory, and the allowed transitions in the energy spectra of molecule C70Br10 have been determined. On the basis of the energy spectrum of exohedral fullerene C70Br10 is given an interpretation of experimentally observed optical absorption bands molecule C70Br10. Keywords: Hubbard model, Green's functions, energy spectrum, fullerenes, nanosystems, fullerene C70, exohedral fullerene C70Br10.
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