aldehyde, we are able to observe the influence of a known
amount of product in the reaction mixture.
The magnitudes of the equilibrium constants determined
by the two models are also of interest. When the influence
To quantify the influence of the presence of product on
the reaction rate, we employed a kinetic model derived from
the mechanism shown in Scheme 1, based on that proposed
by Noyori. We have modified this model to allow for the
possibility that the product may not readily dissociate, thus
inhibiting further reaction by occupying catalytic sites. The
modified reaction rate expression is presented in eq 1. The
of product is not included (K
attempts to compensate by predicting a smaller value of
assoc. Further, the dimer-monomer equilibrium is predicted
p
set equal to zero), the model
K
to be driven further toward the dimer species (larger value
for the dimerization constant Kdimer) in the absence of product
inhibition. The dimer-monomer equilibrium position has
important implications for the asymmetric amplification
observed when enantioimpure catalysts are employed, and
an inaccurate value of Kdimer could lead to an incorrect
prediction of the equilibrium position for the heterochiral
dimer which is formed under enantioimpure conditions. Thus,
a failure to take the role of product into consideration may
lead to erroneous conclusions about the relative concentra-
tions of catalytic species in the reaction mixture.
In most cases one seeks to avoid complications due to the
influence of product by carrying out experimental kinetic
studies under initial reaction conditions. However, study of
the initial reaction period neglects valuable fundamental
information about the reaction which may be important in
practical applications where the reaction cannot be limited
to initial conditions. The monitoring of catalyst behavior over
the entire course of the reaction helps to broaden our
understanding of complex reaction networks. Coupled with
kinetic modeling, the multiple reaction experimental protocol
described in this paper provides a useful approach to
complicating issues such as product inhibition. The ability
to predict rate and selectivity as a function of reaction
progress greatly expands the synthetic utility of complex
reactions.
influence of product is accounted for in the term K
the denominator, where K represents the product binding
constant and [P] is the product concentration at any time
p
[P] in
p
during the reaction. This term approaches zero (K ) 0) if
p
product inhibition is considered to be negligible.
Table 1 presents the values of the kinetic and equilibrium
constants determined by fitting the four-reaction sequence
Table 1. Kinetic and Thermodynamic Parameters Determined
from Kinetic Modeling of the Data Shown in Figure 1 for the
Reaction Network Shown in Scheme 1
without product
inhibition
with product
inhibition
constant
krls (min-1
)
2820
45.4
1380
116
36.9
344
Kassoc (M-2)
Acknowledgment. D.G.B. gratefully acknowledges a
grant from Pfizer Central Research supporting this research
and a grant from the EPSRC for purchase of the reaction
calorimetry system.
KP (M-1)
Kdimer (M-2)
978
to eq 1. The model fits are shown in Figure 1, with the solid
line representing the model including product inhibition and
the dashed line representing the best fit which could be
obtained without including the influence of product in the
OL006181R
(4) Puchot, C.; Samuel, O.; Du n˜ ach, E.; Zhao, S.; Agami, C.; Kagan, H.
B.; Nonlinear Effects in Asymmetric Synthesis. Examples in Asymmetric
Oxidations and Aldolization Reactions. J. Am. Chem. Soc. 1986, 108, 2353-
5
7.
(
model (K ) 0). It is clear that the rate is indeed inhibited
P
5) MIB has been introduced as a crystalline and air-stable analogue of
as product builds up in the system; after ca. 10 turnovers,
the kinetic model can no longer provide an accurate
description of the reaction rate unless binding of the product
to the catalyst is taken into consideration.
DAIB. Samples of MIB used in this study were crystallized from hexanes
prior to use. Nugent, W. A. Chem. Commun. 1999, 1369.
(
6) (a) Blackmond, D. G., J. Am. Chem. Soc. 1997, 119, 12934-39. (b)
Blackmond, D. G. J. Am. Chem. Soc. 1998, 120, 13349-53
(7) Rosner, T. Doctoral Thesis, Ruhr-Universit a¨ t Bochum, 2000.
Org. Lett., Vol. 2, No. 16, 2000
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