Relative stabilities of C76 isomers. A numerical test of the fullerene isolated-pentagon rule

Austin SJ, Fowler PW, Orlandi G, Manolopoulos DE, Zerbetto F

C76 has 19151 possible fullerene structural isomers of which up to 55 are compatible with the experimental 19-line 13C NMR spectrum, but only two have isolated pentagons. Calculations of the relative energies of all 55 candidates within the semi-empirical QCFF/PI model pick out the isolated-pentagon D2 isomer as the structure of lowest energy for C76, confirming previous calculations and providing support for the isolated-pentagon rule. Energy differences between isomers of C76 are interpreted in the model as torsional strains induced by pentagon adjacencies. © 1994.