Distance numbers and Wiener indices of IPR fullerenes with formula C10(n-2) (n ≥ 8) in analytical forms

Abstract

The IPR fullerenes C10(n-2) with n ≥ 8 have been considered for obtaining their distance numbers and hence the Wiener indices in analytical forms for both even and odd n. The distance numbers along with their patterns have been found to give the number of 13C NMR signals with their respective intensity ratios. Logarithms of Wiener indices have been found to correlate well with the band (HOMO-LUMO) gaps and resonance energies of the respective fullerenes.