Abstract
The effect of an electron donating or withdrawing group on the ring contraction mechanism of a cyclohexylium (cyclohexane-derived) cation has been studied using density functional theory. The barrier to rearrangement of the parent cyclohexane cation ( 1) was previously calculated to be 7.7 kcal/mol using PBE/6-311++G(2d, 2p). We show in this work that addition of an electron withdrawing group (CF 3) lowers the average barrier to ring contraction, while an electron donating group (CH 3) increases the average barrier, relative to the parent, unsubstituted, cyclohexane cation. Calculated barrier heights for going from a 6-membered to 5-membered ring range from 4.3 to 23.3 kcal/mol for methyl-cyclohexylium ( 2), but only from 0.6 to 14.0 kcal/mol for trifluoromethyl-cyclohexylium ( 3). The lower barriers for 3 can be explained by (a) the starting structures involved, and (b) the use of dative bonding as a catalyst in stabilizing intermediates and transition states. For 1 and 3 the reaction involves starting from secondary cations and going downhill in energy through secondary intermediates to a tertiary product. However, 2 does not benefit from such favorable energetics since it more likely starts from a tertiary cation and has to first rearrange to secondary intermediates to derive the tertiary methyl-cyclopentane-type product.
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