1178 J . Org. Chem., Vol. 65, No. 4, 2000
Chiang et al.
substrate,27 and the present bend may be attributed to
ionization of the enolic hydroxyl group. At acidities lower
than [H+] ) 10-7 M, ionized enol is then the substrate
form in the initial state of the ketonization reaction; the
advantage of converting less reactive enol to more reac-
tive enolization is consequently lost and the apparent
hydroxide ion catalysis becomes saturated. This produces
the plateau seen at the low acidity end of the rate profile,
which represents simple carbon protonation of enolate
ion by H2O.
The present rate profile shows no acid catalysis. This
means that carbon protonation of the un-ionized enol by
H+, with the rate constant kHK+, takes place to a signifi-
cant extent only at acidities greater than the most acidic
solution examined, [H+] ) 0.1 M. In more acidic solutions,
however, the flash photolytic substrate, methyl phenyl-
diazoacetate, undergoes rapid acid-catalyzed hydrolysis,25
and the region above [H+] ) 0.1 M could therefore not
be investigated.
The rate law that applies to this reaction scheme is
shown in eq 6,
kobs ) (kH′K+ [H+] + k′K) {QE/(QE + [H+])}
(6)
o
a
a
whose rate and equilibrium constants are defined by eq
5. Least-squares fitting of this expression using the data
obtained in H2O solution gave k′K+ ) (1.85 ( 0.10) × 109
H
M-1 s-1, (k′K)H ) (4.20 ( 0.09) 105 s-1, and QEa ) (2.83
The horizontal plateau at the high acidity end of the
present profile has two possible interpretations: it could
be due to carbon protonation of the un-ionized enol by
2O
( 0.12) ×o10-7 M, pQEa ) 6.55 ( 0.02,28 and similar
treatment of the data obtained in D2O solution gave k′K
+
D
H2O, with rate constant kK, or it could be caused by
) (1.63 ( 0.17) × 109 M-1 s-1, (k′K)D O ) (5.42 ( 0.26) ×
o
2
o
equilibrium ionization of the enol to enolate ion followed
by carbon protonation of enolate by H+, with rate
constant k′HK+. The latter process produces H+ in its
initial equilibrium, and then uses it up in the rate-
determining step, to give an overall reaction whose rate
is independent of [H+]. Enolate ions, moreover, are many
orders of magnitude more reactive than the correspond-
ing enols,26 and reaction via the enolate can be a
favorable process even when the enolate concentration
is quite low.
A choice between these two alternatives may be made
on the basis of the fact that enol ketonization obeys the
Brφnsted relation, and the rate of reaction effected by
proton transfer from an acid as strong as H+ can be
expected to be many orders of magnitude greater than
that effected by proton transfer from an acid as weak as
H2O.26 Assignment of the high acidity profile plateau to
protonation of un-ionized enol by H2O, however, coupled
with the nonappearance of protonation of un-ionized enol
by H+ at acidities as high as [H+] ) 0.1 M, makes the
rate of reaction effected by H+ at least comparable to, if
not less than, the rate of reaction effected by H2O. This
is contrary to expectation, and this molecular interpreta-
tion of this part of the rate profile may therefore be
rejected; the alternative explanationsionization of the
enol followed by carbon protonation of enolate ion by H+s
may consequently be accepted.
104 s-1, and (QE)D O ) (6.51 ( 0.66) × 10-8 M, (pQE)D O
)
2
2
a
a
7.19 ( 0.04.28
En ol Keton iza tion : Isotop e Effects. These results
provide isotope effects that offer good support for the
molecular interpretation of the rate profile given
above. Primary isotope effects are known to vary in
magnitude with transition state structure, passing through
a maximum value for symmetrical transition states in
which the atom in flight is half-transferred, and falling
off from this maximum for reactant-like and product-like
transition states.29 Because carbon protonation of the
enolate ion by H+ is such a fast processsits rate constant,
k′HK ) 1.85 × 109 M-1 s-1, shows it to be a nearly dif-
+
fusion-controlled processsit can be expected to have a
very reactant-like transition state30 and consequently
to give only a weak isotope effect. The value provided by
the present data, k′HK+/k′K ) 1.14 ( 0.13 is entirely
+
D
consistent with this expectation; the present result is
also similar to k′HK+/k′K ) 1.00 ( 0.21 determined for
+
D
the carbon protonation of isobutyrophenone enolate
ion by H+,31 which is also a very fast reaction with k′HK
)
+
3.0 × 108 M-1 s-1 26
.
The process identified as carbon
protonation of the enolate ion by H2O, on the other hand,
is a much slower reaction with k′oK ) 4.20 × 105 s-1, and
its isotope effect is correspondingly stronger: (k′K)H
/
2O
o
(k′K)D O ) 7.74 ( 0.40. This isotope effect is also aug-
2
o
mented by the fact that proton transfer from H2O
produces a hydroxide ion, and that provides a secondary
isotope effect component in the normal direction, kH/kD
> 1,32 in addition to the primary isotope effect. The
This part of the rate profile is followed by a rising
portion of slope ) +1 that extends from [H+] = 10-4
M
to [H+] = 10-7 M. This section may be attributed to
ionization of the enol to enolate ion followed by carbon
protonation of the ion by H2O. Since the H+ produced in
the prior equilibrium is not used up in the rate-determin-
ing step, the overall reaction rate will be inversely
proportional to [H+] or directly proportional to [HO-], for
an apparent hydroxide ion catalysis.
(27) Loudon, G. M. J . Chem. Educ. 1991, 68, 973-984.
(28) This is a concentration acid dissociation constant that applies
at the ionic strength, 0.10 M, at which it was determined.
(29) Melander, L. Isotope Effects on Reaction Rates; Ronald Press:
New York, 1960; pp 24-32. Westheimer, F. Chem. Rev. 1961, 61, 265-
273. Bigeleisen, J . Pure Appl. Chem. 1964, 8, 217-223. Kresge, A. J .
In Isotope Effects on Enzyme Catalyzed Reactions; Cleland, W. W.,
O’Leary, M. H., Northrop, D. B., Eds.; University Park Press: Balti-
more, MD, 1977; pp 37-63.
(30) Hammond, G. S. J . Am. Chem. Soc. 1955, 77, 334-338.
(31) Chiang, Y.; Kresge, A. J .; Walsh, P. A. Z. Naturforsch. 1988,
44a, 406-412.
(32) Kresge, A. J .; More O’Ferrall, R. A.; Powell, M. F. In Isotopes
in Organic Chemistry; Buncel, E., Lee, C. C., Eds.; Elsevier: Amster-
dam, 1987; Vol. 7, pp 177-273.
Downward bends in rate profiles such as that seen here
at [H+] = 10-7 M are commonly caused by a change in
the state of ionization of acidic or basic groups in the
(25) J ones, J ., J r.; Kresge, A. J . J . Org. Chem. 1993, 58, 2658-2662.
(26) Pruszynski, P.; Chiang, Y.; Kresge, A. J .; Schepp, N. P.; Walsh,
P. A. J . Phys. Chem. 1986, 90, 3760-3766. Chiang, Y.; Kresge, A. J .;
Santaballa, J . A.; Wirz, J . J . Am. Chem. Soc. 1988, 110, 5506-5510.