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The linear polarizability absorption spectra of the double-walled carbonnanotubes (DWNTs) have been calculated by using the tight-binding (TB) modeland sum-over-state (SOS) method, supplemented by the first principles CASTEPcalculations. It is found that the chiral symmetries of both outer and innertubes in the DWNTs can always be identified distinctly by the characteristicpeaks in the absorption spectra of the DWNTs, no matter what kind of the outertube is, offering a powerful experimental tool to measure precisely the chiralangle of the inner tube of a DWNT.

Chiral Symmetry of Double-Walled Carbon Nanotubes detected in First-principles Optical Absorption Spectra