Wiener indices of zigzag single walled carbon nanotubes and related nanotories

Abstract

The Wiener indices of zigzag single walled carbon nanotubes (SWCNT) designated as (h, 0) and respective nanotori are expressed analytically as well recursively. The bond dissociation energies per CC bond (BDEC-C) and Young’s modulus of such nanotubes with fixed r but varying h (>5) are found to bear excellent linear correlations with the logarithm of their Wiener indices. Young’s moduli data for nanotubes (h, 0) with varying both h and r do not correlate linearly with the logarithm of Weiner indices but fit well with the sigmoidal (Boltzmann) curve.