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In this paper, the energy bands of the zinc oxide nanotubes and their optical properties are analyzed theoretically. Using a tight-binding model with nearest-neighbor interaction, some general expressions are obtained for the elements of the Hamiltonian matrix describing the zinc oxide nanotubes structure. Obtaining the linear susceptibility of these nanostructures make it possible to investigate their optical properties. An analysis of the obtained linear susceptibility graphs provides a good understanding of the electrical semiconducting properties of these nano-scale materials and shows a high absorption for the zinc oxide nanotubes.
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