The
conformational preferences of 28 sterically and electronically
diverse N-aryl amides were determined using density
functional theory (DFT), using the B3LYP functional and 6-31G(d) basis
set. For each compound, both the cis and trans conformers were optimized,
and the difference in ground state energy calculated. For six of the
compounds, the potential energy surface was determined as a function
of rotation about the N-aryl bond (by 5° increments) for both
cis and trans conformers. A natural bond orbital (NBO) deletion strategy
was also employed to determine the extent of the contribution of conjugation
to the energies of each of the conformers. By comparing these computational
results with previously reported experimental data, an explanation
for the divergent conformational preferences of 2° N-aryl amides and 3° N-alkyl-N-aryl amides was formulated. This explanation accounts for the observed
relationships of both steric and electronic factors determining the
geometry of the optimum conformation, and the magnitude of the energetic
difference between cis and trans conformers: except under the most
extreme scenarios, 2° amides maintain a trans conformation, and
the N-bound arene lies in the same plane as the amide
unless it has ortho substituents; for 3° N-alkyl-N-aryl amides in which the alkyl and aryl substituents are
connected in a small ring, trans conformations are also favored, for
most cases other than formamides, and the arene and amide remain in
conjugation; and for 3° N-alkyl-N-aryl amides in which the alkyl and aryl substituents are not connected
in a small ring, allylic strain between the two N-bound substituents forces the aryl substituent to rotate out of the
plane of the amide, and the trans conformation is destabilized with
respect to the cis conformation due to repulsion between the π
system of the arene and the lone pairs on the oxygen atom of the carbonyl.
The cis conformation is increasingly more stable than the trans conformation
as electron density is increased on the arene because the more electron-rich
arenes adopt a more orthogonal arrangement, increasing the interaction
with the carbonyl oxygen, while simultaneously increasing the magnitude
of the repulsion due to the increased electron density in the π
system. The trans conformation is favored for 2° amides even
when the arene is orthogonal to the amide, in nearly all cases, because
the C–N–C bond angle can expend at the expense of the
C–N–H bond angles, while this is not favorable for 3°
amides.