Nucleation and growth of fullerenes and nanotubes having four-fold symmetry
We have studied possible ways of generating and growing the fullerenes having four-fold symmetry. Beginning with cyclobutane and clusters
we obtained elementary fullerenes
and mini-fullerenes
which produce the following fullerenes from
perfect (basic) and imperfect, as well as nanotubes. The imperfection is connected either with extra 'interstitial' or 'vacancy' carbon dimers, both types of dimers playing the role of defects. Only the basic fullerenes
have the ordinary four-fold symmetry in the corresponding column of the periodic system of fullerenes, the intermediate fullerenes having no such symmetry. Considering the latter as imperfect due to defects, one can define them as the fullerenes conserving topological four-fold symmetry. We have calculated their energies and discussed possible reasons for their dependence on a fullerene size and shape.