NMR spectra of icosahedral (I_h and I) fullerenes

Abstract

By analyzing the topological structures of the three types of icosahedral fullerenes: (1) ${\text{C}}_n \left( {{\text{I}}_{\text{h}} ,\;n = 60h^2 ,\;h = 1,2,...} \right)$, (2) ${\text{C}}_n \left( {{\text{I}}_{\text{h}} ,\;n = 20h^2 ,\;h = 1,2,...} \right)$ and (3) ${\text{C}}_n \left( {{\text{I}},\;n = 20\left( {h^2 + hk + k^2 } \right),\;h > k,\;h,k = 1,2,...} \right)$, we have obtained theoretically the ¹³C NMR spectra with natural abundance for ¹³C of all the icosahedral (I_h and I) fullerenes.