Density functional and ab initio methods have been used to study the mechanisms for key dynamicprocesses of the experimentally known
S4-symmetric [16]annulene (
1a). Using BH&HLYP/6-311+G** andB3LYP/6-311+G**, we located two viable stepwise pathways with computed energy barriers (
Ea = 8-10kcal/mol) for conformational automerization of
1a, in agreement with experimental data. The transition statesconnecting these conformational minima have Möbius topology and serve as starting points for non-degenerate
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-bond shifting (configuration change) via Möbius aromatic transition states. The key transitionstate,
TS1-2, that connects the two isomers of [16]annulene (CTCTCTCT,
1 ![](/images/entities/rarr.gif)
CTCTTCTT,
2) has anenergy, relative to the
S4 isomer, that ranged from 6.9 kcal/mol (B3LYP/6-311+G**) to 16.7 kcal/mol(BH&HLYP/6-311+G**), bracketing the experimental barrier. At our best level of theory, CCSD(T)/cc-pVDZ(est), this barrier is 13.7 kcal/mol. Several other Möbius bond-shifting transition states, as well as Möbiustopology conformational minima, were found with BH&HLYP energies within 22 kcal/mol of
1a, indicatingthat many possibilities exist for facile thermal configuration change in [16]annulene. This bond-shiftingmechanism and the corresponding low barriers contrast sharply with those observed for cis/transisomerization in acyclic polyenes, which occurs via singlet diradical transition states. All Möbius bond-shifting transition states located in [16]- and [12]annulene were found to have RHF
![](/images/entities/rarr.gif)
UHF instabilitieswith the BH&HLYP method but not with B3LYP. This result appears to be an artifact of the BH&HLYPmethod. These findings support the idea that facile thermal configuration change in [4
n]annulenes can beaccounted for by mechanisms involving twist-coupled bond shifting.