A. Cꢂrdova et al.
[
23]
formed by using the Gaussian 03
software package and
Geometries were optimized with
(d,p) basis set, and characterized with frequency
calculations. Final energies were obtained with the larger
basis set 6-311+G(2d,2p). The effect of solvation in DMSO
was included by using a polarizable continuum model (IEF-
nonlinear effects created from the catalytic network were
due to the unproductive “reacted-free” equilibrium of the
enantiomers of the amino acid with chiral aldehyde 2a, in
which (R)-proline is present a longer time. As a result an
excess of non-bound (S)-proline (ee>eeinitial) was able to cat-
alyze the parallel reaction pathways creating asymmetric
amplification of the corresponding products.
[24,25]
the B3LYP functional.
the 6-31G
ACHTUNGTRENNUNG
ACHTUNGTRENNUNG
[26]
PCM). We have previously proposed that racemic proline
is resolved by the dynamic equilibrium shown in Scheme 2
due to that (R)-proline reacts faster with 2a and as a conse-
quence less “free” (R)-proline would be accessible. Indeed,
our calculations revealed that the initial barrier to form the
proline–aldol intermediate Ic via concerted transition state
Ib, in which both simultaneous CÀN bond formation and
Our results show that observation of nonlinear effects in
amino acid catalysis can be used for giving mechanistic in-
formation on the influence of the different interconnected
catalytic pathways during proline-catalyzed stereoselective
reactions between aldehydes or ketones and different elec-
trophiles (Scheme 1). For example, it explains the absence
of nonlinear effects as for the proline-catalyzed a-aminooxy-
lation of 3a (Figure 1). In this case, the general cycle 1 in
Scheme 1 was the fastest pathway since oxazolidinone for-
mation and self-aldol reactions are very slow due to steric
effects. The mechanistic network displayed in Scheme 1
should also be considered for the proline-catalyzed Mannich
reaction between propionaldehyde 1a and p-methoxyphenyl
(PMP)-protected a-iminoglyoxylate (Scheme 1, 2a=3b:
proton transfer occur for (R)-proline, is larger relative to
the formation of the (S)-proline-derived intermediate IIc
via concerted transition state IIb (Figure 2). However, for
both R and S enantiomers, the most stable intermediates Ig
and IIg, respectively, are formed with barriers of 5.7 and
.0 kcalmol , respectively. The pathway of (R)-proline is in-
À1
5
itiated by a Si-facial attack on the carbonyl group of alde-
hyde 2a via reactant Ia. This is opposite to the Re-facial
attack of (S)-proline on the aldehyde group of 2a via reac-
tant IIa (Figure 2). Other attacks were also considered;
however, only the most favored are shown here (see Sup-
porting Information). The pathways of (R)- and (S)-proline
are energetically different. For example, when (R)-proline
attacks the bulky Si-face of aldehyde 2a, the energies are
higher relative to the reactant Ia during the initial hemiami-
nal bond formation. This is not the case for the Re-facial
attack of (S)-proline on 2a, even though the reactants Ia
and IIa are close in energy. These energy differences be-
tween (R)- and (S)-proline result in different energy
maxima on their energy profiles. Consequently, for (R)-pro-
line the energy maximum Id occurs when the proton is
transferred from the nitrogen of the proline moiety to its
carboxyl group. In the case of (S)-proline, the highest
energy on the potential energy surface is transition state
IIb. The lowest energies in both pathways are the iminium
intermediates Ig and IIg, respectively. The energy barriers
are relative to the respective reactants Ia and IIa. However,
for the purpose of comparing the reactivity between (R)-
and (S)-proline the rate-determining states of the release of
the amino acids are of interest. All intermediates and transi-
tion states can be found in the Supporting Information, as
well as energies calculated at different levels. When compar-
ing the Gibbs free-energy differences (DG) for the two reac-
tion pathways it can be seen that the DG for (R)-proline is
larger compared to (S)-proline. Moreover, as described vide
supra both enantiomers of the amino acid readily enter their
respective pathways. Thus, the major energy difference be-
tween the enantiomers of proline in the reaction with 2a is
in the reversible step. Notably, this energy difference DDG
between the R and S enantiomer was 0.9 kcal, which is in
accordance with the experimental result obtained for the ki-
netic resolution of racemic proline by nearly enantiomeri-
cally pure 2a (66% ee of (S)-proline). Our calculations to-
gether with the experimental results show that the positive
3
[14]
R =H; E=PMPNH=CHCO Et).
2
In this case, both the “reacted-free” equilibrium between
the enantiomers of proline and the chiral aldehyde 2a or 4b
via oxazolidinone intermediates such as IIi and IIIi, respec-
tively, must have cooperatively contributed to the asymmet-
ric amplification of the corresponding product 4b according
[27]
to Scheme 1 (red, green, and blue pathways). The proline-
catalyzed reaction of propionaldehyde 2a to other PMP-
protected imines does not always exhibit nonlinear effects
[28]
under homogeneous conditions.
This study suggests that
for these transformations the catalytic cycle 1 of Scheme 1
must have been the fastest pathway and as a consequence
the dynamic “reacted-free” equilibrium between the corre-
sponding chiral products and the amino acid catalyst does
not have time to affect the whole network. This is in accord-
ance with kinetic measurements for these reactions, which
determined the Mannich reaction to be significantly faster
[29]
than the aldol reaction.
In summary, the generation of positive nonlinear effects
in asymmetric amino acid catalysis by a novel cooperative
catalytic network has been demonstrated. The addition of
an achiral aldehyde generated the multiple interconnected
stereoselective catalytic network. DFT calculations together
with experimental results showed that the asymmetric am-
plification has its origin in the unproductive “reacted-free”
equilibrium of the enantiomers of the amino acid with the
corresponding chiral aldehyde products, in which (R)-pro-
line is present for a longer time as compared to (S)-proline.
13938
ꢃ 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2010, 16, 13935 – 13940