´
50
T. CORDOVA ET AL.
Table 1. Summary of equilibrium and rate constants of
methyl pyruvate oxime formation measured in aqueous
solution at 30°C, and ionic strength0.5
À1
Kaedxdp (M
)
713.00a
À1
kH (M sÀ1
)
200.00b
ko (sÀ1
)
2.3 Â 10À4b
À1
Kadd (M
)
2700.00a
a
Standard deviation of Kaedxdp was about 5%.
In most cases the data agree within 3%.
b
general bases [kf = ko kH
(H ) kB(B )].† Both cata-
lytic constants are significant and their contribution to kf
depends on the pH and buffer concentration. Therefore,
hydration is important over the entire pH range
investigated. Thus the hydrate is included in the
Figure 2. Logarithms of second-order rate constants for
oxime formation from methyl pyruvate plotted as a function
of pH. Measurements were made at 30°C and ionic strength
0.5. The solid line is a theoretical line based on Eqn. 21) and
values in Table 1
formulation of the reaction mechanism and the addition
exp
constant K is corrected for hydration.
add
In Fig. 2, logarithms of second-order rate constants
[kobs/(amine)fb] for methyl pyruvate oxime formation are
plotted as a function of pH. The second-order rate
constants decrease linearly with the concentration of the
hydrated proton down to a value of pH ꢀ4.0. Above this
limiting pH value the logarithm of the second-order rate
constants deviates from linearity with pH. These devia-
tions are more pronounced as the pH increases.
Table 1 is a summary of the rate and equilibrium
constants for methyl pyruvate oxime formation. The solid
line in Fig. 2 is a theoretical line based in Eqn. (1) and
values in Table 1. The agreement of theory with
experimental data is satisfying.
This behavior is interpreted in terms of the mechanism
outlined in Scheme 1, in which it is proposed that
carbinolamine dehydration is the sole rate-determining
step over the entire range of pH investigated.
The rate law for the mechanism outlined in Scheme 1
is:
k
obs=ꢁamine KexpkHꢁH ko
ꢁ1
ꢁ2
ꢁ3
fb
add
At low pH Eqn. (1) becomes:
obs=ꢁamine KexpkHꢁH
k
fb
add
Values of Kadd and kH reported for pyruvic acid oxime
À1
formaÀti1on are respectively 3.5 Â 103 M
and 2.43 Â
The limiting value of Eqn. (1) at high pH is:
102 M
s
À1.7 A comparison with the same constants
k
obs=ꢁamine Kexpko
reported here forÀm1 ethyl pyruvate oxime formation,
fb
add
À1
Kadd = 2.7 Â 103 M and kH = 2 Â 102 M
s
À1, demon-
Scheme 1 includes the conversion of the hydrate of
methyl pyruvate to the reactive unhydrated form. There-
fore, the equilibrium constant for addition of hydro-
xylamine to the keto ester is corrected for the hydration of
the substrate:
strate that methyl pyruvate is a good model for pyruvic
acid.
To our knowledge, there are no studies that relate the
values of pH in which catalysis by water is important to
the carbinolamine structure. Generally, the pH-indepen-
dent route of carbinolamine dehydration is usually
unimportant, compared with the specific acid-catalyzed
pathway, and it is ordinarily observed at values of pH
close to 8. Carbinolamine formed from methyl pyruvate
and hydroxylamine has a carbomethoxy group bonded
directly to the carbonyl moiety. The strong electron-
withdrawing inductive effect of this group decreases the
carbinolamine oxygen basicity, making hydronium ion
Kadd Kexpꢁ1 KH
KH 2:8 (see Ref. 11)
add
The equilibrium constant for addition of hydroxylamine
to methyl pyruvate was monitored by the disappearance
of the chromophore of the unhydrated keto ester at pH
6.75. Injecting a small amount of a solution of the
substrate in dioxane into aqueous solutions of hydro-
xylamine led to a rapid drop in absorbance followed by
a slower increase in absorbance attributed to oxime
formation (see Experimental section). According to
Pocker and coworkers,11,12 the hydration of methyl
pyruvate is catalyzed by water, hydronium ions and
catalysis difficult. This is reflected in the low value of kH
À1
reported here (kH = 2 Â 102 M
(kH = 5.75 Â 104 M
s
À1) compared with
the same processÀu1sing pyruvate anion as substrate
s
À1).7 Therefore, the presence of
the carbomethoxy group increases the relative impor-
tance of spontaneous dehydration; the percent of
contribution of ko from pH 5.0 to 6.75 in this study
varies from 10 to 87%. Further investigations of imine
† Pocker et al. report several values of kf over a temperature range of 0–
25.6°C, pH 4.6 and m = 0.1. A simple Arrhenius plot from their data
allowed us to obtain kf = 0.15 sÀ1 at 30°C.
Copyright 2001 John Wiley & Sons, Ltd.
J. Phys. Org. Chem. 2002; 15: 48–51