A R T I C L E S
Solin et al.
Scheme 5. Allyl Group Transfer from Complex 9 to the Aldehyde
Electrophile
Species 12a-c involve simplified models for the pincer ligand
of 3 in which the phenyl groups are replaced by hydrogen atoms.
In these calculations the benzaldehyde electrophile (5a) was
approximated by an acetaldehyde molecule. The η1-allyl species
12a represents a minimum on the potential energy surface (PES)
according to the vibrational analysis. The ligating atoms on
palladium are in a square planar arrangement with a strong
Pd-P coordination.
Complex 12b was characterized as a TS structure, as its
vibrational analysis gave only one imaginary frequency. The
transition vector corresponds to the bond formation between
the γ-terminus of the η1-allyl moiety and the carbonyl carbon
of acetaldehyde. The activation energy is only 12.2 kcal mol-1
(the zero-point vibration corrected value is 14.0 kcal mol-1),
which is similar to the activation barrier of these types of
electrophilic attacks on bisallylpalladium complexes (10-15
kcal mol-1).8,12,14
In 12b the η1-allyl moiety, the carbonyl group, and the
palladium atom form a cyclic six-membered ring structure with
distinct equatorial and axial positions. This also requires that
the R-carbon atom of the allyl group and the oxygen of the
aldehyde share a single coordination site on palladium. Thus
the tridentate pincer-type ligation remains largely unaffected
in the TS structure. This is also indicated by the fact that the
strong Pd-P coordination is still maintained. As one goes from
GS 12a to TS structure 12b, the Pd-P bond is changed by only
0.02 Å. The vibrational analysis of the product complex 12c
gave only real frequencies, indicating that it is a minimum on
the PES. Formation of 12c from 12a is exoenergetic with 11.3
kcal mol-1 (7.9 kcal mol-1 with ZPV correction). In this
complex the oxygen of the homoallyl product is coordinated to
palladium, while the carbon-carbon double bond is uncoordi-
nated.
The above DFT calculations with model systems 12a-c
indicate that the electrophilic substitution of the η1-allyl moiety
occurs readily with a low activation barrier. However, bulky
phenyl substituents on the phosphorus atoms in the rigid firmly
tricoordinated pincer ligand can be involved in destabilizing
steric interactions with the substituents of the aldehyde com-
ponent. These interactions can considerably increase the activa-
tion energy of the reaction and change the TS geometry.
Therefore, we undertook theoretical studies for the realistic
species 13a-c, including phenyl groups on the pincer ligands
and on the aldehyde substrate. As one goes from model complex
12a to complex 13a, the allyl group is rotated by about 90° to
avoid the steric interactions with the phenyl groups of the pincer
ligand. Otherwise, the geometrical parameters describing the
allyl-metal and the Pd-P bonding are almost identical. The
activation energy of the electrophilic attack by benzaldehyde
on 13a is 13.1 kcal mol-1 (13b), which is only 0.9 kcal mol-1
higher than the activation energy obtained for the model systems
reaction of allylmagnesium bromide in place of 4e with pincer
complex 3. It is well-known that the allyl Grignard reagents
are much more reactive organometallic substrates than allyl-
stannanes, and therefore these reagents instantaneously trans-
metalate with palladium(II) species including allylpalladium
complexes.13,15,38 Indeed, the same characteristic peaks at 2.29,
1
3.84, and 4.15 ppm appeared in the H NMR spectrum of the
reaction of allylmagnesium bromide with 3 (Figure 2b) as for
the stoichiometric process of allylstannane 4e with complex 3
(Figure 2a). Accordingly, we conclude that the stoichiometric
reaction of 4e with pincer complex 3 leads to η1-allylpalladium
pincer complex 9, which we consider as the reactive intermediate
of the studied catalytic electrophilic substitution (Scheme 3).
The above stoichiometric reaction (Scheme 4) can also be
performed with allyltributylstannane 4a. However, in the
presence of a large excess of allylstannane 4a the 9:3 ratio was
only 0.18, which was remained unchanged in a longer period
of time. On the other hand, when allyltrimethylstannane 4e was
employed (Figure 2a), the 9:3 ratio became considerably higher,
up to 0.56. These observations indicate that under catalytic
conditions the active catalyst 9 is generated in a lower
concentration from allyltributylstannane derivatives than from
allyltrimethylstannane substrates. This also explains the lower
reactivity of allyltributylstannanes compared to allyltrimethyl-
stannanes in the catalytic reactions.
DFT Modeling of the Electrophilic Attack. The key step
of the catalytic reaction is obviously the coupling between the
allyl moiety of the η1-allyl complex (such as 9) with aldehydes
and imine electrophiles (Scheme 5). A peculiar feature of this
reaction step is that only a single coordination site on palladium
is available for the entire process. Thus, rationalization of the
mechanism of the electrophilic attack on the η1-allyl moiety of
9 (and its analogues) requires an explicit knowledge about the
transition-state (TS) structure and the activation energy of the
reaction. Therefore, we carried out density functional theory
(DFT) calculations for the most important ground-state (GS)
and TS structures of the process.
All geometries (12 and 13) were fully optimized by employ-
ing a Becke-type39 three-parameter density functional model
B3PW91 (Figure 3) with a double-ú(DZ)+P basis constructed
from the LANL2DZ basis40-42 by adding one set of d-
polarization functions to the heavy atoms (exponents: C, 0.63;
O, 1.154; P, 0.34) and one set of diffuse d-functions on
palladium (exponent 0.0628). All calculations have been carried
out by employing the Gaussian98 program package.43
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7030 J. AM. CHEM. SOC. VOL. 126, NO. 22, 2004