On the influence of diameter and length on the properties of armchair single-walled carbon nanotubes: A theoretical chemistry approach

Open-ended fragments of armchair single-walled carbon nanotubes (n, n) with n = 3, 4, 5, and 6, have been modeled, with increasing lengths from 0.6 to 3 nm long. The geometries of all the studied fragments have been fully optimized. The influence of diameter and length on different electronic properties has been analyzed. These properties are electronegativity, ionization potential, electron affinities, and hardness, and all of them have been expressed as functions of the frontier orbitals. The binding energies per C atom have been calculated, using an expression that improves the previously reported ones. Their absolute values were found to steadily increase with tubes length and diameter, which allows extrapolations to obtain BE/C atom for tubes of infinite length. The extrapolated values are 8.45, 8.65, 8.74, and 8.79 eV for armchair nanotubes with n = 3, 4, 5, and 6, respectively.