A. Nelson, S. Warriner et al.
amide distortion (Table 4), although the observed distortion
was smaller than in the minimised structures (Table 5) of
similarly substituted compounds (compare compounds 13a
and 10a, R2 =Ph, with compounds 13c and 10b, R2 =iPr).
Table 4. Analysis of the amide groups with the R2 substituent in the crys-
tal structures of polycyclic compounds 10a and 10b.[a]
Bond lengths [ꢃ]
Distortion parameters [8]
ꢁ
N C(O)
C=O
cN
cC
t
10a
1.372
1.371
1.363
1.368
1.232
1.239
1.240
1.238
ꢁ19.4
ꢁ10.8
10.3
ꢁ10.6
ꢁ0.8
3.6
6.6
7.6
10b[b]
ꢁ2.7
ꢁ9.6
Figure 4. Minimised structure (a) and TS structure (b) for polycycle 13b.
An animation for the bond-rotation process is provided in the Supporting
Information.
3.3
11.0
[a] See Table 1 for the substitution of the polycyclic compounds. [b] The
asymmetric unit contains two molecules from one enantiomeric series
and one molecule from the other; these molecules populate significantly
different conformations in the crystal.
ꢁ0.5), which implies that its conjugation with the carbonyl
group was greater in the TS than in the ground state. The
calculated barrier heights for polycycles 13a (R2 =Ph), 13e
(R2 =p-MeOC6H5) and 13 f (R2 =p-O2NC6H5) reproduced
this trend, with lower barriers with a more electron-rich R2
aryl group (Table 5). Furthermore, the calculations support-
ed the view that the R2 aryl ring was more conjugated with
the carbonyl group in the TS (the dihedral angles were 15,
12 and 338 for 13a, 13e and 13 f, respectively) than in the
minimised structures (the dihedral angles were 48, 44 and
508 for 13a, 13e and 13 f, respectively).
Table 5. Distortion of the amide group with the R2 substituent and barri-
er heights for bond rotation for polycyclic compounds 13a–f and 14 de-
termined by using the B3LYP hybrid functional and a 6-31G* basis set.[a]
Distortion parameters[b] [8]
Free-energy barrier
[kJmolꢁ1
cN
cC
t
N
]
13a
13b
13c
13d
13e
13 f
14
ꢁ23.9
ꢁ17.5
ꢁ18.0
ꢁ22.5
ꢁ24.7
ꢁ22.8
ꢁ35.9
0.3
1.2
3.4
16.7
14.9
18.1
17.1
18.1
16.1
26.1
93.4
104.2
105.0
105.9
89.5
93.9
83.9
ꢁ0.1
0.1
The steric influence of R2 was also important, with slower
bond rotation with smaller groups (compare 9b, R2 =Me,
with 9c, R2 =iPr, and 9d, R2 =tBu; Table 3). However, all of
our DFT calculations, which also used alternative function-
als and basis sets (see the Supporting Information), predict
13b–d to have very similar free-energy barriers. Analysis of
the origins of this discrepancy is complicated given the very
small differences in the free-energy barrier for these com-
pounds. However, a comparison of the minimised structures
of polycycles 13a–d revealed that the amide distortion is
greater with the larger R2 groups (Ph, iPr and tBu) than
with R2 =Me (compare 13a, 13c and 13d with 13b;
Table 5). Because bond rotation requires the amide to dis-
tort dramatically (see Figure 4 and the Supporting Informa-
tion), the compounds with larger R2 groups may have more
destabilised ground states, which result in a faster rate of
bond rotation.
0.6
1.3
[a] See Table 1 for the substitution of the polycyclic compounds. [b] Cal-
culated for the minimised structure.
The fusion of a cyclopentane ring onto the nucleus of the
polycycles had a remarkable effect on the rate of bond rota-
tion: krot was about 1000 times larger for 11 than for its
more constrained analogue 9a. The electronic structure
theory results similarly show a reduced barrier height for 14
compared with 13a, and permit a structural explanation for
its origin. Inspection of the transition-state (TS) structures
of 13a–f shows that there are three significant steric interac-
tions that contribute to the barrier heights (see Figure 4). As
the phenyl ring rotates, the most significant interactions are
between hydrogen atoms Ha and Hc, and between hydrogen
Hb and carbonyl oxygen O. During the rotation of the
phenyl ring, the carbonyl group rotates out of conjugation,
which leads to increased steric interaction between carbonyl
oxygen O and hydrogen Hd. The removal of the fused cy-
clopentane ring (as in 14) means that the carbonyl oxygen
encounters less steric repulsion, which results in a smaller
barrier.
Conclusions
Previously, rotamers arising from restricted rotation about
bonds between sp2- and sp3-hybridised carbon atoms have
only been isolated when the sp2-hybridised atom is part of
an aryl ring with ortho substituents. The rate of equilibration
between the rotamers of polycycles 9 is remarkable because
the m-nitrophenyl ring does not have any such substituents.
We have therefore shown for the first time that a highly hin-
dered environment for the sp3-hybridised carbon is sufficient
for slow bond rotation. The sp3-hybridised bridgehead
The electronic nature of an aromatic R2 substituent had a
small but significant influence on krot (compare 9a, R2 =Ph,
with 9e, R2 =p-MeOC6H5, and 9 f, R2 =p-O2NC6H5;
Table 3). Bond rotation was significantly faster with an elec-
tron-rich aryl substituent, R2, (Hammett[8] parameter 1ꢂ
2188
ꢁ 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2009, 15, 2185 – 2189