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Electronic band structure of carbon nanotubes with the Kekule structure is studied by the tight-binding approximation.We give a complete geometrical approach to structural properties of carbon nanotubes with bond alteation,including chiral and achiral tubes.When the Kekule is introduced,all carbon nanotubes become semiconducting with a small band gap at the Fermi level.The band gap of the carbon nanotubes depends only on the difference between C-C bond lengths or the resonance integrals.