9516 J. Am. Chem. Soc., Vol. 120, No. 37, 1998
Kim et al.
Each of these correlations indicates that the epoxidation rate
increases as the alkene becomes more electron-rich. This is
certainly reasonable for a reaction with a reagent containing
electronegative oxygens. The uniformly low slopes of the two
correlation lines in Figure 2 suggest that the transition states of
simple aliphatic and aromatic alkenes in MCPBA epoxidation
are rather similar. Moreover, these correlations imply that the
epoxidation of alkenes with peracids is related to electron
density, such that the partially charged transition-state structure
(2) cannot be rejected. Nor can the frontier-orbital interaction
be neglected.
effect on ionization potential. In contrast, stabilization by alkyl
substitution, which does not operate via delocalization (at least
not to as great an extent), is not subject to a lag. Thus, aliphatic
alkenes are epoxidized faster than aromatic ones of comparable
ionization potential, and the rates of the former class are more
sensitive to ionization potential, as measured by the slope of
Figure 2.
Alternatively, this difference can be interpreted in terms of
frontier molecular orbital theory.33 One measure of the energy
of interaction between the alkene and an electrophilic reactant
is given by eq 10,
Since a lowering of activation energy by 1 eV, or 23 kcal/
mol, corresponds to a rate acceleration of 1.6 × 1017-fold at 20
°C, the observed slopes of log k vs IP represent only 4% and
8% electron transfer at the transition state, for aromatic and
aliphatic alkenes, respectively. Even though the reagent has
electronegative oxygens, there is little transfer of electron density
from carbon to those oxygens. Instead, the slopes are so low
that it might appear that electron transfer is hardly involved.
Indeed, Shea and Kim’s observation that the correlation is poor
led them to conclude that frontier-orbital interactions are not
dominant.13 In particular, they noted that 2,4-hexadiene and
1,4-diphenylbutadiene, which differ significantly in ionization
potential, nevertheless have nearly the same rate of epoxidation.
However, Figure 2 indicates that these lie on two different
correlations.
To resolve this discrepancy, it is necessary to understand why
there are two separate correlations in Figure 2. The divergence
is such that aromatic alkenes undergo epoxidation more slowly
than aliphatic ones of comparable ionization potential. The need
to consider these two classes separately has long been recog-
nized.30 In contrast, there is no such divergence in oxidation
by the oxene (Hm+dO) formed from an iron(III) porphyrin,
and the good correlation with ionization potential was taken as
evidence for an electron-transfer mechanism.17
2
E
cC /∆ꢀ
(10)
where cC is the coefficient of an alkene carbon in the highest
occupied MO (for utmost simplicity) and ∆ꢀ is the energy gap
between that MO and the lowest unoccupied MO of the
electrophile. It is this latter that represents the dependence on
ionization potential. In simple Hu¨ckel theory, the HOMO
coefficient at CR is 0.707 in ethylene, larger than the 0.595 for
styrene. Therefore, even at constant ∆ꢀ, the interaction with
an aliphatic alkene is stronger, and also more sensitive to the
ionization potential.
This analysis suggests that polyenes, which also stabilize the
transition state by delocalization, should lie on a line separate
from aromatic and aliphatic alkenes. Certainly â-carotene does.
However, the two examples in Figure 2 lie close enough to the
line for aliphatic alkenes that it is not possible to verify this
further.
These data do not permit us to distinguish directly between
symmetric (1) and asymmetric (2) transition states. However,
a substantial positive charge at one of the carbons, as in 2, is
not consistent with the very low slopes in Figure 2. The absence
of charge development suggests a transition state resembling
1, consistent with results of calculations on ethylene itself.10,11
For substituted ethylenes, there is no requirement for sym-
metry, and a decidedly asymmetric transition state was calcu-
lated for epoxidation of butadiene.11 Yet it must be recognized
that the positive charge in 2 is so low that the asymmetry cannot
be accompanied by any substantial delocalization into an
aromatic substituent, even though that delocalization ought to
enhance the asymmetry. Moreover, the slope for aromatic
alkenes is even lower than for aliphatic ones, owing to the lag
in delocalization that we propose. This lag is further evidence
against appreciable charge asymmetry in the transition state.
We propose that the difference between aromatic and aliphatic
alkenes is a consequence of transition-state imbalance (“non-
perfect synchronization”).31 Even though electron density is
transferred from alkene to peracid, the delocalization of positive
charge to the phenyl lags behind. To the extent that epoxidation
rates correlate with ionization potentials, the radical cation 3,
Conclusions
A kinetic equation has been developed to accomplish relative
rate measurements under common competition conditions. This
has permitted the measurement of rate constants for the reactions
of m-chloroperbenzoic acid with a large number of alkenes. The
rate constants vary over 3 orders of magnitude.
The rate constants are well correlated with ionization
potentials, suggesting that the frontier-orbital interaction is
important. However, the extent of electron transfer to the
peracid is minimal. Separate correlations are obtained for
aliphatic and aromatic alkenes. These results can be interpreted
in terms of transition-state imbalance (nonperfect synchroniza-
tion), frontier-orbital theory, and a transition state (1) that has
little charge development at either carbon.
with a full positive charge, is a model for the product of the
reaction. Some of that charge, +qPh0, is delocalized into the
0
phenyl, and some, +qC , remains at the double bond. In the
transition state (4), only a fraction +q of the full charge is
developed on the alkene. Some of that positive charge, +qPh,
is delocalized into the phenyl, and some, +qC () q - qPh)
remains at the double bond. According to Kresge’s model,32
qPh is proportional to q2, rather than simply to q. This leads to
qPh/q < qPh0, meaning that the extent to which charge is
delocalized into the phenyl ring is lower in 4 than in 3.
Consequently, the phenyl does not provide as much stabilization
to the transition state as might be expected on the basis of its
Acknowledgment. We are grateful to the National Institutes
of Health (T.G.T., Grant HL 13581) and the National Science
Foundation (T.G.T., Grant CHE 87-21364) for financial support.
(30) Swern, D. J. Am. Chem. Soc. 1947, 69, 1692.
(31) Bernasconi, C. F. Acc. Chem. Res. 1992, 25, 9.
(32) Kresge, A. J. Can. J. Chem. 1974, 52, 1897.
(33) Fleming, I. Frontier Orbitals and Organic Chemical Reactions; John
Wiley & Sons: Chichester, 1978.
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