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Optical dispersion spectra at energies up to 30 eV play a vital role inunderstanding the chirality-dependent van der Waals London dispersioninteractions of single wall carbon nanotubes (SWCNTs). We use one-electrontheory based calculations to obtain the band structures and the frequencydependent dielectric response function from 0-30 eV for 64 SWCNTs differing inradius, electronic structure classification, and geometry. The resultingoptical dispersion properties can be categorized over three distinct energyintervals (M, pi, and sigma, respectively representing 0-0.1, 0.1-5, and 5-30eV regions) and over radii above or below the zone-folding limit of 0.7 nm.While pi peaks vary systematically with radius for a given electronic structuretype, peaks are independent of tube radius above the zone folding limit anddepend entirely on SWCNT geometry. Based on these calculated one-electrondielectric response functions we compute and review Van derWaals - Londondispersion spectra, full spectral Hamaker coefficients, and van derWaals -London dispersion interaction energies for all calculated frequency dependentdielectric response functions. Our results are categorized using a new opticaldielectric function classification scheme that groups the nanotubes accordingto observable trends and notable features (e.g. the metal paradox) in the 0-30eV part of the optical dispersion spectra. While the trends in these spectrabegin to break down at the zone folding diameter limit, the trends in therelated van derWaals - London dispersion spectra tend to remain stable all theway down to the smallest single wall carbon nanotubes in a given class.

Chirality-Dependent Properties of Carbon Nanotubes. Electronic  Structure: Optical Dispersion Properties, Hamaker Coefficients and van der  Waals - London dispersion interactions