Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chirality-Dependent Properties of Carbon Nanotubes. Electronic
  Structure: Optical Dispersion Properties, Hamaker Coefficients and van der
  Waals - London dispersion interactions   Optical dispersion spectra at energies up to 30 eV play a vital role in
understanding the chirality-dependent van der Waals London dispersion
interactions of single wall carbon nanotubes (SWCNTs). We use one-electron
theory based calculations to obtain the band structures and the frequency
dependent dielectric response function from 0-30 eV for 64 SWCNTs differing in
radius, electronic structure classification, and geometry. The resulting
optical dispersion properties can be categorized over three distinct energy
intervals (M, pi, and sigma, respectively representing 0-0.1, 0.1-5, and 5-30
eV 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 structure
type, peaks are independent of tube radius above the zone folding limit and
depend entirely on SWCNT geometry. Based on these calculated one-electron
dielectric response functions we compute and review Van derWaals - London
dispersion spectra, full spectral Hamaker coefficients, and van derWaals -
London dispersion interaction energies for all calculated frequency dependent
dielectric response functions. Our results are categorized using a new optical
dielectric function classification scheme that groups the nanotubes according
to observable trends and notable features (e.g. the metal paradox) in the 0-30
eV part of the optical dispersion spectra. While the trends in these spectra
begin to break down at the zone folding diameter limit, the trends in the
related van derWaals - London dispersion spectra tend to remain stable all the
way down to the smallest single wall carbon nanotubes in a given class.

5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg