I. H. Hillier, J. Clayden et al.
Table 4. Harmonic vibrational frequencies [cmÀ1] and intensities [kmmolÀ1] for stationary structures.
Species
Mode
Frequency
Intensity
carbamate 2a
C=O stretch
1693
344
ring modes
mixed C=O and ring modes
ring modes
mixed C=O and ring C H modes
mixed C=O stretch and ring modes
ring modes
N=C(-O)-N modes
phenyl ring stretches
C=O
1643–1666
1652, 1672
1644–1665
1638, 1642, 1650
1619, 1624
1578–1659
1702,1294
1636–1661
1745
3–105
363, 373
1-75
259, 263, 167
518, 274
23–201
350, 244
1–8
carbamate with LDA, 2a·RLi
À
R4
R1
P1
N-protonated product 3a
383
product anion coordinated to Li
(thf)3 through carbamate N 3Li
N-C(=O)-O
1335, 1654
237, 502
teraction, is only 8 kJmolÀ1 higher in energy, so that inver-
sion by both mechanisms is clearly feasible. Although this
energy difference is quite small, we can speculate as to the
origin of the preferred pathway, bearing in mind that SNAr
reactions usually need anion stabilising groups to facilitate
reaction. The key factor would appear to be the lack of sta-
bility of the anion centre once the Li+ is bound to the car-
bamate oxygen atom. This is in line with a comparison of
the stationary structures on the alternative pathways, and in
the two reactive conformers (R1 and R2), the bond-forming
data are for compound 2c, having a chlorine substituent on
one phenyl ring, which is absent in our model employing 2a.
We focus on the changes in the C=O stretching frequency
that we have observed experimentally during the rearrange-
ment of 2c. In the neutral reactant, the C=O stretch is com-
puted to occur at n˜ =1693 cmÀ1, close to the experimentally
determined band at n˜ =1698 cmÀ1. This good agreement
gives us confidence that we can understand the variation in
the C=O frequency along the reaction pathway. The addi-
tion of LDA leads to a peak at n˜ =1686 cmÀ1, which corre-
lates with the computed peak at n˜ =1672 cmÀ1 for structure
A (Scheme 13), corresponding to a pre-lithiated complex
having the LDA dimer coordinated to the carbonyl oxygen
atom. We predict a second nearby peak at n˜ =1652 cmÀ1, in
À
C C separation for the preferred pathway is shorter in the
reactant (R1) and longer in the transition structure (TS1).
Thus, in the more stable reactant structure (R2), the charge
on the conjugated carbanion is stabilised by the Li+ over
the phenyl ring, whilst the lower-energy transition structure
(TS1), which lacks this stabilisation and is earlier than the
alternative structure, readily undergoes nucleophilic attack
to yield a stable anion through aryl transfer.
À
which the C=O stretching band is mixed with the ring C H
modes. We have previously discussed that our calculations
have identified a low-energy lithiated carbamate structure
(R4), which, following conformational changes, gives the
structures that actually undergo reaction. This structure
In a corresponding study of the rearrangement of a lithiat-
ed urea, a dearomatised naphthyl intermediate was charac-
terised by NMR spectroscopy, and was predicted to be
stable by DFT calculations.[38] In the case of the carbamates
studied herein, no such intermediates were detected experi-
mentally, and they could not be located on our computed re-
action pathways. We therefore propose that this SNAr reac-
tion proceeds, unusually, without a dearomatised intermedi-
ate.
We have also studied the corresponding 1,2-aryl transfer
of the benzyl carbamate, which proceeds via a cyclic three-
membered transition structure, and may occur with N-alkyl,
rather than N-aryl, carbamates.[22] We find that this TS is
75 kJmolÀ1 above our lowest reactant minimum and is thus
13 kJmolÀ1 above our calculated barrier for the observed
1,4-aryl shift reaction. Thus, it would appear that the ener-
getic penalty of forming this strained cyclic transition struc-
ture is decisive in favouring the observed attack on the p
system of the phenyl group.
(R4) is predicted to have strong peaks at n˜ =1638, 1642 and
À1
À
1650 cm , which are mixtures of C=O and C H ring modes.
Experimentally, a peak at n˜ =1649 cmÀ1 is seen to grow fol-
lowing the addition of LDA to the benzyl carbamate 2c,
which we thus assume corresponds to our computed struc-
ture R4. We have found other structures, similar to R4, in-
À
cluding those with intramolecular Li O coordination as in
B, and computed their harmonic frequencies, as well as
those for the higher-energy structures (R1, R2, R3) that
lead to reaction. However, we find that none of these struc-
tures give the excellent prediction of the observed IR spec-
trum of lithiated 2c that is provided by structure R4.
For the product anion in which the solvated Li+ is coordi-
nated to the nitrogen atom of the carbamate, we predict in-
tense bands at n˜ =1335 and 1654 cmÀ1, values which are in
excellent agreement with the peaks observed experimentally
at n˜ =1333 and 1642 cmÀ1 for 3cLi. In an alternative struc-
ture (P1, the product from TS1, Scheme 13 and Figure 5), in
which the solvated cation remains bound to the carbamate
oxygen after aryl transfer, the corresponding computed fre-
quencies are n˜ =1294 and 1702 cmÀ1, indicating that, in the
final species generated on completion of the rearrangement,
lithium has migrated to the nitrogen atom of the carbamate
anion. After protonation of the anion, the computed carbon-
We now discuss the harmonic vibrational frequencies for
the various minimum-energy species that our computations
have identified along the reaction pathway of the benzyl car-
bamate (Table 4). Our aim is to use these values to aid in
the identification of the species found in the IR spectra we
have previously described. We note that the experimental
16488
ꢀ 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2012, 18, 16478 – 16490