An investigation of the interaction of carbocations with aromatic rings has been initiated by a
computational study of complexation of methyl cation with benzene to determine if this is appropriately included
as an example of η6 cation−π interaction. Specifically, electronic structure calculations for three types of π
complex of methyl cation with benzene, 1(η6), 2(η2), 3(η1), and the Wheland σ complex 4 have been obtained
at several theoretical levels. The results indicate that inclusion of electron correlation is required for accurate
calculation of intermolecular distances and binding energies and that the B3LYP/6-31G* level of theory provides
a practical, reliable approach for the study of carbocation−π interactions. Although none of the π complexes
is an energy minimum, the maximum binding energy of CH3
+ above the periphery of the ring is more than
twice as large as that of optimum binding above the ring centroid. In addition, the association energies in η2
and η1 complexes are ca. 80% of the binding energy calculated for the equilibrium σ complex. The comparison
of results for C6H6- -CH3
+, C6H6- -SiH3
+, and C6H6- -Na+ with earlier theoretical work and with experiment
confirms the reliability of the B3LYP/6-31G* method. An examination of the dependence of binding in
complexes 1−4 on intermolecular separation was also conducted. The results indicate that at distances >2 Å,
a “π approach” toward 2 or 3 has a binding energy which is competitive with the approach to σ complex (4)
formation. This work also shows clearly that, in contrast to complexes of coordinatively saturated cations
with benzene, at intermolecular distances <3.5 Å an η6 geometry is not the most favorable for π complexation
of carbocations. Significantly greater binding energy is obtained anywhere over the periphery of the ring (as
in 2 or 3) at any binding distance less than ca. 3.5 Å. Even at distances >3.5 Å, binding at the periphery of
the aromatic system is comparable in energy to η6 binding. With respect to the postulated stabilization of
carbocation intermediates in biochemical reactions via π interactions with aromatic residues, the results show
that very substantial stabilization can be afforded to carbocations positioned appropriately over any portion of
a benzene ring and at distances considerably greater than typical covalent bonding distances. Thus, an enforced
separation between carbocation and aromatic amino acid side chain residue to avoid unwanted covalent bond
formation between protein and substrate would still allow substantial stabilization via carbocation−π interaction.