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M. Yoshida et al. / Tetrahedron 69 (2013) 10003e10008
there is no such stabilization effect in
b
TSsa. By comparison of the
the two geometric isomers of an imine, which was generated
from 2-cyclohexen-1-one and O-TBDPS -homoserine lithium
energy differences of these four diastereomeric transition struc-
tures, TSra and TSsb were determined as plausible TSs that give
major and minor enantiomers of Michael adduct 4, respectively. In
agreement with the experimental results, TSra leading to the
major enantiomer of Michael adduct 4 is the energetically most
favored. It was thus revealed that the carboxylate group of the
b
b
b
salt. DFT calculations of the TSs of conjugate addition of dimethyl
malonate to this imine indicated that the lithium cation and the
carboxylate group of the catalyst have important roles as an an-
chor to hold the stable bicyclic structure of the imine and as
a tether to grab an enolate of malonate to bring it close to the
prochiral center of the imine, respectively. By comparison with
b
b
-
amino acid salt catalyst has a role as a tether forming the stable
bicyclic structure of imine 7 and grabbing the enolate of malonate 2
to bring it close to the prochiral center.
DFT calculations of the TSs with
a- and g-amino acid salts, it was
revealed that O-TBDPS -homoserine lithium salt has an appro-
b
To obtain further detailed insight into the effect of tether length
on stereochemical control, DFT calculations of TSs of the Michael
priate length of the amino acid structure to achieve high enan-
tioselectivity in the Michael addition reaction of malonates to
enones.
addition reaction with
TS) were also carried out (Figs. 5 and 6). In
coordinating models ( TSa) were only optimized because the
shorter tether length of the -amino acid moiety is not sufficient to
form the enolate-coordinating models ( TSb). The energy difference
TSsa (Fig. 5,1.9 kcal/mol) was smaller than that
TSsb (Fig. 4, 2.7 kcal/mol). In a manner similar
-amino acid salt catalyst has
a long and flexible tether to form both siloxy-coordinating ( TSa)
and enolate-coordinating ( TSb) models (Fig. 6). In the re-facial
attacking models, the structural and energy differences between
TSra and TSrb are similar to those obtained from the -amino acid
salt catalyst. A great difference in transition structures compared
with the case of the -amino acid salt catalyst was found in the si-
facial attacking models ( TSs) as follows: the siloxy-coordinating
model ( TSsa) provides resonance stabilization of the carboxylate
group, whereas there is no such stabilization effect in the enolate-
coordinating model ( TSsb). In contrast to TS, TSsa is thus ener-
getically more favored than TSsb. Therefore, there is a very small
energy difference (0.1 kcal/mol) between TSra and TSsa. Those
smaller energy differences between the re- and si-facial attacking
models in both TS and TS can support the experimental result that
the Michael addition reaction with the - and -amino acid salt
a
- and
g-amino acid salt catalysts (
aTS and
g
a
TS, the siloxy-
a
4. Experimental
a
a
4.1. General
between
between
a
b
TSra and
TSra and
a
b
Solvents, dimethyl malonate (2), and 2-cyclohexen-1-one (3)
to the b-amino acid salt catalyst, the g
were used after purification by distillation. O-TBDPS b-homoserine
g
was prepared according to our previous report.6a 1H NMR
g
(400 MHz) and 13C NMR (100 MHz) spectra were recorded on
a JEOL JNM-ECX400P. Chemical shifts, d are referred to TMS (CDCl3).
g
g
b
Specific rotation was measured by a HORIBA SEPA-500. HPLC was
carried out using a JASCO PU-2089 Plus intelligent pump and a UV-
2075 Plus UV detector.
b
g
g
4.2. Michael addition reaction of dimethyl malonate (2) to 2-
cyclohexen-1-one (3) catalyzed by O-TBDPS b-homoserine
lithium salt (1) with various enantiomeric excesses (Fig. 1)
g
b
g
g
g
g
4.2.1. Preparation of catalysts. In a vial, ground LiOH mono hydrate
(42 mg, 1 mmol) was added to a solution of O-TBDPS (S)-b-
a
g
homoserine (1.43 g, 4 mmol) in MeOH (4 mL) at 0 ꢀC. After stirring
for overnight at room temperature, the reaction mixture was
concentrated under reduced pressure. The obtained white solid
was ground well and dried in vacuo to give a 1:3 mixture of O-
a
g
catalysts 5 and 6 resulted in lower enantioselectivities.
Finally, we carried out DFT calculations of the TSs with a real
system of O-TBDPS
facial attacking model (TBDPS_
attacking model (TBDPS_ TSsb) (Fig. 7). It was thus confirmed that
b
-homoserine lithium salt 1 and found that a re-
TBDPS (S)-b-homoserine lithium salt 1 and the original amino
b
TSra) is more stable than a si-facial
acid. The corresponding (R)-catalyst was also synthesized in the
same manner. The obtained (S)- and (R)-catalysts were mixed in
various proportions to give catalysts with various enantiomeric
excesses.
b
the results are in agreement with those obtained by using the O-
TMS catalyst model.
3. Conclusion
4.2.2. Michael addition reaction. In a 7 mL vial, dimethyl malo-
nate (2, 132 mg, 1 mmol) was added to a solution of the catalyst
obtained above (36 mg, 0.1 mmol) and 2-cyclohexen-1-one (3,
48 mg, 0.5 mmol) in DMSO/(CH2Cl)2 (1:2, 0.5 mL) at 25 ꢀC. After
By the present experimental and computational mechanistic
studies, it was found that there is little energy difference between
Fig. 5. Optimized structures of
aTS with (R)-enantiomer of catalyst 5 (C, gray; O, red; N, blue; Li, purple; S, yellow; Si, sky-blue; malonate 2, ball and stick model; imine, tube model).
Relative energies are shown in parentheses (B3LYP/6-311þþG**//B3LYP/6-31G*).