8
834 J. Phys. Chem., Vol. 100, No. 21, 1996
Johnson et al.
transfer. Thus, a smaller kinetic isotope effect will be seen.
When phenyl anion acts as the base, the symmetric stretch of
the transition state can be approximated by the first case. On
the other hand, if hydride ion acts as the base, the symmetric
stretch of the transition state can be approximated by the second
case. Thus, the difference in kinetic isotope effect k /k
for phenyl anion and hydride ion can be explained in part by
the differences in their masses.
transfer from the secondary position of 2-butanone would be
expected to be faster than the rate of proton transfer from the
primary position.
To summarize, no charge delocalization and no rehybridiza-
tion in the transition state favor proton transfer from the methyl
group in 2-butanone. However, charge delocalization and
rehybridization in the transition state favor proton transfer from
the ethyl group in 2-butanone. Thus, in each proton transfer
transition state for 2-butanone, the effect of charge transfer
competes with the effects of rehybridization and charge delo-
calization such that these effects almost cancel each other out.
In solution, transition state imbalances have been observed
in proton transfer reactions involving carbon acids. Bernasconi
proposes that charge delocalization into the nitro group lags
behind proton transfer in nitroalkanes and, thus, that the central
CH3 CD3
Conclusions
We have three pieces of a puzzle that initially appear to give
conflicting pictures about the transition state for proton transfer.
First, we have a small kinetic alkyl group effect that does not
follow the thermodynamic effect. This implies that the transition
state is closer to the reactants than the products. If the transition
state were closer to the products, we would expect the kinetic
alkyl group effect to be larger and more influenced by the
thermodynamic stabilities of the products. Second, the primary
isotope effect is base dependent, becoming smaller as the
reaction exothermicity increases. This also implies that the
transition state is close to the reactants. Third, we have a
secondary isotope effect that is greater than one. In contrast to
3
24
carbon is still essentially sp hybridized in the transition state.
Saunders has observed a carbon isotope effect, and Bordwell
has observed a secondary isotope effect in the proton transfer
reactions of nitroalkanes, both of which suggest that some
2
6,27
rehybridization must be occurring in the transition state.
Thus, proton transfer, rehybridization, and charge delocalization
have all made different progress at the transition state. These
2
8,29
issues have also been addressed computationally.
3
2
the first two points, this implies that rehybridization (sp f sp )
is occurring in the transition state and that the transition state
resembles the products. In order for the secondary isotope effect
to be as small as unity, the error in our data would have to be
very large (+15%), and we believe our data to be accurate to
In summary, the kinetic alkyl group effect on the proton
transfer rate is due to a combination of factors. In the transition
state, the competing effects of proton transfer (correlates with
charge transfer), charge delocalization, and rehybridization
almost cancel each other out and lead to a small alkyl group
effect. Steric hindrance does not appear to be an important
factor in determining our kinetic alkyl group effect. Thus, the
order for proton transfer from a carbonyl group is 2° > 3° >
(
5%.
The principle of nonperfect synchronization, developed by
Bernasconi, can help explain these observations.24 In nonperfect
synchronization, transition state imbalances occur when the
various processes involved in the reaction (e.g. proton transfer,
charge delocalization, and rehybridization) do not progress at
the same rate. At the transition state, proton transfer, which
correlates with charge transfer, generally has made more
progress than charge delocalization, which leads to resonance
stabilization. Rehybridization can still have progressed signifi-
cantly at the transition state even if the charge remains localized.
In the case of proton transfer in ketones, charge is transferred
1
° in our system.
Acknowledgment. We are grateful to the National Science
Foundation for support of this research.
Appendix A: Derivation of Alkyl Group Effects
RCH2 vs CH3 from RCH2C(O)CD3 Compounds. The rate
of abstraction of a proton from the above deuterated ketone is
equal to twice the rate constant for deprotonation of a single
3
to the R-carbon; the R-carbon undergoes rehybridization (sp
(R)CH2
2
proton from the (R)CH substituent, k
, while the rate of
f sp ); and the charge is delocalized with the charge mostly
2
abstraction of a deuteron from the above deuterated ketone is
three times the rate constant for deprotonation of a single
on the oxygen in the final product.
If, in the transition state, all the transferred charge is localized
on the R-carbon instead of being delocalized and the R-carbon
CD3
deuteron from the CD3 substituent, k . Since both enolate
3
ion products come from the same transition state, the internal
energy distribution will be the same for both proton transfers
and the isomeric enolate ion product ratio can be expressed as:
is sp hybridized, the transition state for proton transfer from
the primary position in 2-butanone would be more stable than
the transition state for proton transfer from the secondary
position in 2-butanone. The electron affinity of the primary
enolate ion of 2-butanone is 2 kcal/mol greater than the electron
(
R)CH2
M - H 2 k
product ratio )
)
2
5
affinity for the secondary enolate ion of 2-butanone, which
indicates that the primary enolate ion is the more stable ion
relative to the neutral enolate radical and that, relative to a
hydrogen, the methyl group destabilizes a negative charge on a
carbon. Thus, in this case, the rate of proton transfer from the
primary position of 2-butanone would be expected to be faster
than the rate of proton transfer from the secondary position.
On the other hand, if, in the transition state, the transferred
charge is delocalized so that there is no charge on the R-carbon
M - D
3
CD3
k
where M - H represents the abundance of the product formed
when the deuterated ketone loses a proton and M - D represents
the abundance of the product formed when the deuterated ketone
loses a deuteron. The desired alkyl group effect (eq 5 in the
text) then can be related to the measured isomeric enolate ion
product ratio and the primary isotope effect as
3
2
and the R-carbon has rehybridized (sp f sp ), the transition
state for proton transfer from the secondary position of 2-bu-
tanone would be more stable than the transition state for proton
transfer from the primary position of 2-butanone because alkyl
groups, relative to hydrogen, favor rehybridization. In general,
the more highly substituted double bond is more stable than
the less substituted double bond. In this case, the rate of proton
(
R)CH2
(R)CH2
CH3
CD3
CH3
CD3
k
k
k
k
3
2
M - H
÷
M - D
k
k
)
÷
)
×
CH3
CD3
k
k
The alkyl group effect refers to the relative rate of deprotonation
of a single proton form two different alkyl substituents.
Equations 6-8 can be derived in an analogous fashion.