Organozinc Additions to Benzaldehyde
SCHEME 4. Tr icyclic a n ti a n d syn µ-Oxo Tr icyclic
Tr a n sition Str u ctu r es
structures of 1-3 to understand these experimental
results.
Com p u ta tion a l Meth od s Used in th e Tr a n sition
Str u ctu r e Ca lcu la tion s. The presence of two Zn atoms
along with the relatively large molecular framework of
most ligands employed in these reactions makes the use
of high level ab initio methods costly. To our knowledge,
most of the theoretical analyses reported so far involve
semiempirical methods, combined quantum mechanics-
molecular mechanics (QM/MM) methods, or ab initio
calculations on model systems. While it is not always
possible to choose suitable model systems, semiempirical
and QM/MM calculations may not properly consider all
the electronic and steric factors relevant to the enanti-
oselectivity. Indeed, initial PM3 transition structure
calculations with 2 predicted high selectivity, which
stimulated us to examine these compounds. In this study,
the relatively small size of ligands 1, 2, and 3 enabled
us to carry out the calculations at higher levels of theory,
which avoids the limitations with semiempirical and QM/
MM methods.
SCHEME 5. Six-Mem ber ed Tr a n sition Str u ctu r es
All the transition structures for the asymmetric dim-
ethylzinc13 addition to benzaldehyde catalyzed by ligands
1, 2, and 3 were fully optimized using the Hartree-Fock
(HF)/LanL2DZ14 method. The transition structures were
located using the synchronous transit-guided quasi-
Newton (STQN) method. The guess transition structure
geometries were taken from PM3 calculations.15 The fully
optimized transition structures were characterized by one
imaginary frequency which corresponds to the migration
of the suitably oriented methyl group to the carbonyl
carbon. Single point energy calculations were accom-
plished using B3LYP and MP2 to account for electron
correlation. All the calculations were executed using
Gaussian 98.16 Both tricyclic and bicyclic transition
structures were traced. The relative energies obtained
from the MP2 calculations are invoked in the discussion
below unless otherwise noted.
alcohols as the ligands, the corresponding tricyclic transi-
tion structure is composed of a fused 6/4/4 ring system.
The four low-energy diastereomeric transition structures
are illustrated in Scheme 4: anti R (the two unreacting
Me groups on the Zn atoms are anti, gives (R) alcohol),
anti S (gives (S) alcohol), syn R (the two unreacting Me
groups are syn and give (R) alcohol), and syn S.
The finding by Noyori et al. that the reaction requires
two zinc species per aldehyde17 led to transition structure
models where two Zn atoms are present in different
coordination spheres. The µ-oxo tricyclic transition struc-
ture models described by Noyori et al.6a explain the
observed absolute configuration as well as the level of
stereoselection in many of the cases. With γ-amino
Recently, Norrby et al.18 characterized bicyclic six-
membered transition structures of model systems using
B3LYP in conjunction with a higher basis set. The six-
membered bicyclic transition structures have one of the
Zn atoms in a trigonal planar arrangement, and the
aldehydic oxygen is coordinated to only one Zn atom
(Scheme 5). For the γ-amino alcohols, we refer to these
transition structures as 6/6. In the sections below, the
transition structures for ligands 1-3 using HF, density-
functional theory (DFT), and MP2 are described and
compared with the observed enantioselectivity.
Tr a n sition Str u ctu r es for Liga n d 1. In the anti
transition structures (anti R and anti S) the two unre-
acting Me groups attached to Zn1 and Zn3 are anti, thus
the six-membered ring formed by the ligand with Zn1 is
anti to the Zn3-C4-C5-O6 four-membered ring (Figure
5). The most stable TS for 1 is anti R. The next most
stable TS, anti S, is 1.5 kcal/mol higher in energy due to
a steric interaction between phenyl ring and one of the
unreacting Me groups (Scheme 4, Figure 5, Table 2). The
two four-membered rings (Zn1-O2-Zn3-O6 and Zn3-
C4-C5-O6) are distorted to nullify this repulsion. In anti
(13) Transition structure calculations used dimethylzinc, which
simplifies the computational effort by avoiding the introduction of alkyl
rotamers.
(14) LanL2DZ denotes Los Almos effective core potential and
double-ú basis set for zinc and Dunning-Huzinaga double-ú basis set
for other atoms.
(15) See Supporting Information for a full discussion.
(16) Frisch, M. J .; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.;
Robb, M. A.; Cheeseman, J . R.; Zakrzewski, V. G.; Montgomery, J . A.,
J r.; Stratmann, R. E.; Burant, J . C.; Dapprich, S.; Millam, J . M.;
Daniels, A. D.; Kudin, K. N.; Strain, M. C.; Farkas, O.; Tomasi, J .;
Barone, V.; Cossi, M.; Cammi, R.; Mennucci, B.; Pomelli, C.; Adamo,
C.; Clifford, S.; Ochterski, J .; Petersson, G. A.; Ayala, P. Y.; Cui, Q.;
Morokuma, K.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.;
Foresman, J . B.; Cioslowski, J .; Ortiz, J . V.; Stefanov, B. B.; Liu, G.;
Liashenko, A.; Piskorz, P.; Komaromi, I.; Gomperts, R.; Martin, R. L.;
Fox, D. J .; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.;
Gonzalez, C.; Challacombe, M.; Gill, P. M. W.; J ohnson, B. G.; Chen,
W.; Wong, M. W.; Andres, J . L.; Head-Gordon, M.; Replogle, E. S.;
Pople, J . A. Gaussian 98, revision A.9; Gaussian, Inc.: Pittsburgh, PA,
1998.
(17) Kitamura, M.; Suga, S.; Kawai, K.; Noyori, R. J . Am. Chem.
Soc. 1986, 108, 6071.
(18) Rasmussen, T.; Norrby, P.-O. J . Am. Chem. Soc. 2001, 123,
2464.
J . Org. Chem, Vol. 68, No. 2, 2003 567