C O M M U N I C A T I O N S
The kinetic profiles in both Pd- and Ni-catalyzed oxidative
coupling reactions show that the rates are independent of [1] and
[2]. This indicates a zero-order kinetic behavior. With the catalytic
cycle shown in Scheme 1, if either the oxidative addition or
transmetalation step is the rate-determining step, the reaction rate
will decrease as 1 or 2 is consumed, resulting in a first-order kinetic
curve. If the reductive elimination is the slow step, the reaction
rate will only depend on [Ar-Ni-Ar]. The rate will be independent
of [1] and [2] and will show a zero-order kinetic curve. Thus, data
in Figure 1 imply that the reductive elimination step in this oxidative
coupling reaction might be the rate-determining step.
To confirm that the reductive elimination is indeed a rate-limiting
step, it is necessary to perform the kinetic studies with different
initial [1] and [2] (see Supporting Information Figure S1). All
reactions exhibit zero-order kinetic plots and show identical rates.
The results do indicate that the rate of this oxidative coupling is
independent of [1] and [2] and that reductive elimination is the
rate-limiting step. It is also noteworthy that the catalytic reaction
is first-order in Ni(acac)2 (see Supporting Information Figure S2)
and the overlay of the same excess experiments suggests that
catalyst deactivation does not occur (see Supporting Information
Figure S1).22
Thus far, all evidence connects the zero-order kinetic behavior
with reductive elimination as the rate-limiting step. However,
another possibility exists. If the Ni species generated from the
reductive elimination of Ar-Ni-Ar is different from the Ni species
required for oxidative addition of 2, and the rate-determining step
is the transformation between these two species, then zero-order
kinetics will also be observed. We define this transformation as
the “black-box process”.23 To distinguish between the reductive
elimination as the rate-limiting step or the “black-box process”,
reactions of arylzinc reagents bearing different functionalities were
carried out (see Supporting Information Figure S3). The oxidative
coupling reactions of p-MeOPhZnCl and p-ClPhZnCl were carried
out at -10 °C in the presence of 0.2 mol % Ni(acac)2, and different
rates were observed (Table 1, entries 8 and 9). This excludes the
possibility of the “black-box process” as the rate-limiting step.
Hence, reductive elimination as the rate-determined step in this Ni-
catalyzed oxidative coupling is unambiguously confirmed.
s-1 at -35 °C to 3.5 s-1 at 0 °C, which is ∼3-4 orders of
magnitude greater than the reported values.9
For the Arrhenius parameters, plots of ln(k/T) vs 1/T (see
Supporting Information Figure S4) for the reaction of p-MePhZnCl
give a smooth linear relationship, allowing calculation of the
activation energy in the oxidative coupling reaction. According to
the Arrhenius equation, we obtain the values of ∆H‡ and ∆S‡ (∆H‡
) 9.7 kcal mol-1, ∆S‡ ) 35 J mol-1 K-1). In addition, the positive
∆S‡ value is consistent with reductive elimination as the rate-
limiting step.
The remarkable feature of our results is that the system uniquely
allows direct quantitative investigation of a Csp2-Csp2 reductive
elimination within a catalytic cycle. Even at -35 °C, the rate
constant of the reductive elimination of Csp2-Csp2 is 0.23 s-1
,
which is an unusually fast reaction rate. The value itself reveals
the facile nature of Csp2-Csp2 reductive elimination process.
The novel and reliable oxidative coupling model allows us to gain
an insight into the activation energy barrier and entropy of the
reductive elimination, which derived from a living catalytic cycle.
Moreover, it is also remarkable that this is a system without
phosphine or nitrogen based ligands, and the small value of ∆H‡
reveals that, for this particular reaction, fundamentally the reductive
elimination step is an extremely facile process.
Acknowledgment. This work was supported by the National
Natural Science Foundation of China (20702040, 20832003) and
the startup fund from Wuhan University.
Supporting Information Available: Experimental procedures and
compound characterization data. This material is available free of charge
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a For details of kinetic profiles, see Supporting Information.
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Our model reaction provides an opportunity to quantitatively
determine the rate and the Arrhenius parameters for the Csp2-Csp2
reductive elimination step. In Table 1, we have explored the kinetics
of the reactions with different aryl zinc reagents and different
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J. AM. CHEM. SOC. VOL. 131, NO. 29, 2009 9893