Computational quest for spherical C12B68 fullerenes with "magic" π-electrons and quasi-planar tetra-coordinated carbon.

Inspired by the exciting properties of B80 clusters and the novel chemical bonding of planar tetra-coordinated carbon (ptC), we computationally investigated C12B68 clusters by substituting 12 boron atoms to 12 carbon in the B80 framework. Three types of C12B68 configurations, namely core-shell, boron-trapped and fullerene-like, were examined. The fullerene-like C12B68 clusters are featured with multiple quasi-planar tetra-coordinated carbon moieties; though with "magic" (72) number of electrons, they are not highly aromatic due to the limitations of Hirsch's rule for clusters with more than 50 π electrons. These C12B68 fullerenes are not global minima, but the appreciable HOMO-LUMO gaps, spherical aromaticity, and the thermal stability indicate their reasonable stabilities.