5368 J . Org. Chem., Vol. 62, No. 16, 1997
Chiang et al.
buffer acid decreased is also consistent with the mech-
anism of eq 15. The rate-determining step of this
mechanism can be expected to be a very fast reaction,
and in fact the very large general acid catalytic coef-
ficients, kHA ) 1.61 × 108 M-1 s-1 and 6.84 × 107 M-1 s-1
for acetic acid and biphosphate ion, respectively, can be
calculated for this step from the observed general base
catalytic coefficients and the acidity constant of the
ynamine, Qa ) 5.86 × 1011 M (vide infra). Such very fast
reactions will have reactant-like transition states and low
values of the Bronsted exponent R;20 the two catalytic
coefficients cited above do in fact give R ) 0.27. General
acid catalysis becomes difficult to detect in systems with
low Bronsted exponents because reaction through proton
transfer from the solvent is dominant, and this domi-
nance becomes stronger the weaker the general acid.21
General acid catalysis of the rate-determining step in the
present ynamine isomerization by such weak acids as
ammonium and biphosphate ions will consequently be
swamped by the water reaction, which, because of the
prior substrate ionization equilibrium, will be translated
into observed general base catalysis being overwhelmed
by a hydroxide ion reaction. In the early stages of our
investigation of this reaction, we in fact failed to detect
general base catalysis and in a preliminary publication
reported the process to be subject only to specifc hydrox-
ide ion catalysis.1a
The isotope effect on general base catalysis in biphos-
phate ion buffers also supports the proposed reaction
mechanism. The observed effect, kH/kD ) 3.22, is the
product of the isotope effect on the prior equilibrium
deprotonation of the substrate, whose equilibrium con-
stant is equal to the acidity constant of the substrate
divided by that of the biphosphate ion, and the isotope
effect on the rate-determining carbon-protonation step.
Since the isotope effect on the acidity constant of the
substrate has been determined here and that on the
ionization of biphosphate ion is available from the
literature,14 the isotope effect on the rate-determining
step can be evaluated. The result is kH/kD ) 3.15 ( 0.30.
The normal direction (kH/kD > 1) of this isotope effect is
as expected for rate-determing hydron transfer from
biphosphate ion to carbon, and its modest magnitude is
consistent with the great speed of this reaction (kH ) 6.8
× 107 M-1 s-1) and its consequent reactant-like, unsym-
metrical transition state.22
concentration, as observed. The ynamide ion can be
expected to be much more reactive to carbon protonation
than is the neutral ynaminesenolate ions, for example,
are many orders of magnitude more reactive than the
corresponding enols17sand this mechanism would be the
preferred route even when the equilibrium concentration
of ynamide ion is very low. Eventually, however, at
sufficiently low hydrogen ion concentrations, the equi-
librium will shift from a preponderance of ynamine to a
preponderance of ynamide ion, and the advantage of
going from a less reactive to a more reactive species will
be lost and base catalysis will become saturated, again
as observed.
Support for this reaction mechanism comes from
isotope effects. The solvent isotope effect on the reaction
in the low-acidity plateau region, where base-catalysis
has become saturated and the reaction consists of simple
carbon protonation by water, is kH O/kD O ) 8.5. This is
2
2
a reasonable value for hydron transfer from a water
molecule; it is large because the primary isotope effect
produced by the hydron in transit is augmented by a
secondary effect generated by solvation of the hydroxide
ion being left behind.18 The solvent isotope effect in the
region of base catalysis, on the other hand, is much
greater: kH O/kD O ) 29.8. This is because the reaction
2
2
now starts from unionized ynamine as its initial state,
and the observed rate constant is consequently equal to
the product of the rate constant for the rate-determining
step, k, and the equilibrium constant for the prior step,
Qa:kobs ) kQa; the observed isotope effect is therefore the
product of isotope effects on the two steps. Since the
isotope effect on k has been determined from rate
measurements made in the region of base-catalysis
saturation, that on Qa may be evaluated; the result is
(Qa)H O/(Qa)D O ) 3.51 ( 0.25. This is a reasonable value
2
2
for ionization of an acid of this strength (pQa ) 10.23,
vide infra); for example (Ka)H O/(Ka)D O ) 3.12 has been
reported for ammonium ion (pKa )2 9.27) and (Ka)H
/
2
2O
(Ka)D O ) 4.17 for phenol (pKa ) 10.00).19
2
The reaction mechanism of eq 15 is also supported by
the fact that isomerization is catalyzed by buffers and
that the catalysis is wholly of the general base type in
acetic acid and biphosphate ion buffers. The rate-
determining step of this mechanism, proton transfer from
an acid catalyst to the substrate, will be subject to general
acid catalysis. However, in the region where undissoci-
ated ynamine is the initial state of the reaction, as is the
case in acetic acid and biphosphate ion buffers, the prior
equilibrium will add an inverse dependence on hydrogen
ion concentration, and the net result will be general base
catalysis, as observed.
With this assignment of a mechanism to the base-
catalyzed portion of the present ynamine isomerization
reaction, a complete rate law interpreting the rate profile
shown in Figure 2 may be written. This is shown in eq
16, where kH+ is the rate constant for carbon protonation
kobs ) kH+[H+] + ko + k′oQa/(Qa + [H+]) (16)
of the unionized substrate by hydrogen ion, k′o is the rate
constant for carbon protonation of the ionized form by
water, and Qa is the acidity constant of the ynamine. The
rate constant ko represents the short, horizontal region
of the profile at [H+] ) 10-3-10-4 M. The molecular
The fact that buffer catalysis became progressively
weaker and more difficult to detect as the acidity of the
(17) 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.
(18) Kresge, A. J .; More O’Ferrall, R. A.; Powell, M. F. In Isotopes
in Organic Chemistry; Buncel, E., Lee, C. C., Eds.: Elsevier, New York,
1987; Chap. 4.
(19) Laughton, P. M.; Robertson, R. E. In Solute-Solvent Interactions;
Coetzee, J . F.; Ritchie, C. D., Eds.; M. Dekker: New York, 1969; Chap
7.
(20) Kresge, A. J . In Proton Transfer Reactions; Caldin, E. F., Gold,
V., Eds.; Chapman and Hall: London, 1975; Chap. 7.
(21) Keeffe, J . R.; Kresge, A. J . In Techniques of Chemistry, Volume
VI. Investigations of Rates and Mechanisms of Reactions; Bernasconi,
C. F., Ed.; Wiley-Interscience: New York, 1986; Chap. XI.
(22) Kresge, A. J . In Isotope Effects on Enzyme-Catalyzed Reactions;
Cleland, W. W., O’Leary, M. H., Northrop, D. B., Eds.; University Park
Press: Baltimore, 1977; p 37-63.