Relative Stabilities of C₉₂ IPR Fullerenes

Abstract

The complete set of 86 isolated-pentagon-rule (IPR) isomers of C₉₂ has been described by the SAM1 quantum-chemical method, and their energetics checked by density functional theory at the B3LYP/6-31G* level. Although the lowest-energy cage is not identical in both approaches, it still exhibits D ₂ symmetry in both cases. As energetics themselves cannot produce reliable relative stabilities at high temperatures, entropy terms are also computed and the relative-stability problem is treated entirely in terms of the Gibbs function. The lowest-energy structure is not the most populated isomer at higher temperatures – it is replaced by a D ₃ structure. Further stability interchanges are possible at very high temperatures, when C ₃ and C ₁ structures are also important. There is a partial agreement of the computations with available observed data.