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This process (TS-33) is predicted to be facile, with an
activation free energy of 11.2 kcalmolÀ1 from 4 and 2a,
giving the intermediate 7 with the quaternary stereocenter
installed, with an exergonicity of 33.5 kcalmolÀ1. The tran-
sition state is highly asynchronous; an excessively long
À
forming C C bond (dCC = 3.47 ꢁ) predicts almost no bonding
between the interacting orbitals at the TS. However, both the
IRC calculations and the potential energy surface (PES) scan
in the gas phase and in solvent reveal no intermediates
between TS-33 and 7.[21] The PES also shows that the
transition state is mainly associated with the breaking of the
À
À
N O bond. The formation of the C C bond is found to be a
spontaneous downhill process, presumably driven by the high
exergonicity of the transformation. Intermediate 7 then
undergoes cleavage of the hemiaminal linkage and aromati-
zation via TS-RO to give the aromatic imino acid 5. The free-
energy barrier is calculated to be 17.2 kcalmolÀ1 for this step.
However, TS-RO involves an intramolecular proton transfer,
which is more likely to be a catalyzed process under
experimental conditions.[21]
These calculations establish that pathway II, composed of
tandem 3+2 cycloaddition/hetero-[3,3]-sigmatropic rear-
rangement is energetically viable under the experimental
conditions, while the hetero-Claisen rearrangement of the
ketene–nitrone adduct in pathway I is prohibitively high in
energy.
The stereochemical aspects of pathway II were then
considered. The reaction of 1a and 2a gave oxindole (S)-3a
in 87% ee (Table 1, entry 1).[6] As illustrated in Scheme 2, the
cycloaddition installs a stereogenic center at C3 and an
Scheme 2. Chirality transfer between the pericyclic steps. R*=Boc-
protected chiral auxiliary.
=
unsymmetrically substituted C C double bond in the diaste-
reomeric intermediates 6a–c, the stereochemical information
of which is transferred to the intermediate 7a–c through the
stereospecific [3,3]-rearrangement. Ring opening and rear-
omatization will destroy the stereocenter at C3 but the
quaternary stereocenter will remain intact. The configuration
of the quaternary stereocenter in the imino acid and the
oxindole is, therefore, determined at the 3+2 cycloaddition
step simultaneously by two factors: the face of the nitrone
exposed for cycloaddition, and the direction of attack of the
ketene, where the phenyl group can be oriented trans or cis to
the incipient O6–C5 bond. The transition state TS32-S1
corresponds to the cycloaddition involving the Si face of the
nitrone and the ketene with a trans-oriented phenyl group.
This will give rise to cycloadduct 6b featuring an E-configured
group (TS-32-S1). This predicts the further improvement in
enantioselectivity with increasing size of the N-protecting
group, which was indeed observed experimentally (Table 1).
The trans preference of the aryl group of ketenes observed
here is in accord to our previous findings about reactions with
chiral alcohol nucleophiles.[23]
The other stereodetermining factor, the p-facial selectiv-
ity induced by the chiral auxiliary on the nitrone,[24] can be
understood by examining the conformation of the nitrone
about the C2–C3 bond in TS-32-S1 and TS-32-R2 (Figure 2).
When the nitrone reacts through its Si face (TS-32-S1), the
=
À
C C double bond. Subsequent [3,3]-sigmatropic rearrange-
ketene approaches the nitrone, anti to the oxazolidine C N
ment through the Re face of the alkene will install the S
stereocenter. On the other hand, the R enantiomer will be
obtained by reversing either the orientation of the ketene
(TS32-R1) or the face of the nitrone attacked (TS32-R2)
during the cycloaddition.
The optimized TSs are illustrated in Figure 2. TS-32-S1
leading to (S)-3a is lowest in energy, while TS-32-R1 and TS-
32-R2 are less stable by 1.5 and 3.6 kcalmolÀ1, respectively.[22]
The free-energy difference between TS-32-S1 and TS-32-R1
corresponds to an ee value of 84%, in good agreement with
experiment. The steric contact of the ketene cis substituent
with the tert-butoxycarbonyl (Boc) group is more unfavorable
for the bulkier phenyl group (TS-32-R1) than for a methyl
bond (t(1234) = À177.18), and, thus, away from the steric bulk
of the Boc group. The hydrogen atom and the ring methylene
group adopt the inside and the outside positions, respectively.
Garnerꢀs aldehyde,[11] from which 1a is derived, often obeys
Felkin–Anh stereochemical control in nucleophilic addi-
tions.[25] A feature shared by this model and the cycloaddition
À
TSs here is the preference for the C N bond on the
stereocenter to be anti to the forming bond. In our cyclo-
addition TSs, however, the inside position, instead of the
outside position, is sterically the more demanding site because
of 1,3-allylic strain[26] of any substituent with the nitrone
oxygen. The outside position is also sterically favored in the
cycloaddition TSs than in the Felkin–Anh model because of
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Angew. Chem. Int. Ed. 2011, 50, 11478 –11482