Conformations of [10]Annulene: More Bad News for Density Functional Theory and Second-Order Perturbation Theory

The molecular structures and relative energies of several of the lowest-energy conformations of [10]annulene (C 1 0 H 1 0 ) have been investigated using the Hartree−Fock (HF) method, density functional theory (DFT), second-order Møller−Plesset perturbation theory (MP2), and (for the first time) coupled cluster singles and doubles with a perturbative inclusion of connected triple excitations [CCSD(T)]. For some years the HF method has been known to incorrectly favor bond-length-alternating structures for [10]annulene, and standard forms of DFT are now seen to incorrectly favor aromatic structures. For the naphthalene-like conformation, the B3LYP method is shown to require a large basis set before the geometry becomes properly bond-localized, i.e., similar to the predictions of CCSD(T) using even a modest basis set. With a basis set of 170 functions, B3LYP and BP86 predict that the aromatic heart-shaped conformation is 9.11 and 12.11 kcal mol - 1, respectively, lower than the bond-alternating twist form, while with the same basis set CCSD(T) places the heart-shaped conformation 6.29 kcal mol - 1 above the twist. Further large-scale CCSD(T) computations involving 340 basis functions predict that the twist conformation is lowest in energy, and the naphthalene-like and heart-shaped conformations lie higher than the twist by 1.40 and 4.24 kcal mol - 1, respectively. Implications of the computed structures and energetics for the interpretation of previous experiments are discussed.