486
T. E. AGNEW, H.-J. KIM AND J. C. FISHBEIN
dependence of the catalytic constants upon the acid
ammonium ion pKas. The Brønsted ꢀ values for these
two reactions are both 0.58, suggesting a similar transi-
tion-state structure with respect to the degree of N—H
bond cleavage.
The upper limits for kꢁ1/k2, and the much more certain
values for k1, are summarized in Table 2. The value of
kꢁ1/k2 is more than 1500 times and 9500 times smaller
than for diazomethane in the cases of diazoethane and
diazopropane, respectively. An alternative explanation to
the differences in the pH–rate profiles, that hydroxide ion
attack on primary alkyl- (but not methyl-) diazonium ions
is faster than both kꢁ1 and k2 (water attack) so that k1 is
always rate limiting, is excluded by the pH-dependent
deuterium incorporation into the 1-butyldiazonium ion in
reactions in MeOD and D2O, alluded to earlier.
The conclusion above that, in contrast to diazo-
methane, protonation remains the rate-limiting step in
substantially more basic media in the case of the higher
normal homologues of diazomethane might have been
anticipated from earlier studies, foremost in the metha-
nolysis of diazobutane studied by Kirmse and Rinkler.21
It was shown that in methanol containing ꢄ0.49 M
sodium methoxide, the rate of methanolysis was roughly
inversely proportional to methoxide ion concentration.
This observation is consistent, as was pointed out, with a
mechanism like that in Eqn (3), with MeOH and MeOꢁ
replacing HOH and HOꢁ, in which k2 is the rate-limiting
step. The onset of a change to rate-limiting protonation
by methanol in the least basic media in that study is
indicated by experiments analyzing deuterium incorpora-
tion from solvent into product. At 0.49 M sodium meth-
oxide, one-third of the 1-butyl methyl ether contains a
single deuterium atom at the butyl carbon atom adjacent
to oxygen and the balance of the product contained two
atoms of deuterium. This observation suggests that at this
methoxide ion concentration, methanol attack on the
diazonium ion is just slightly slower than methoxide
ion-catalyzed proton abstraction. Hence a further de-
crease in methoxide ion concentration, or a shift to less
basic conditions such as those in the present study, would
presumably result in a complete shift to rate-limiting
protonation and the absence of a change in rate-limiting
step for the higher homologues, as observed in the pH–
rate profiles in Fig. 1. Similarly, it was later reported that
the incorporation of deuterium, from D2O, into C-1 of
product 1-butanol during the decomposition of (E)-1-
butanediazotate was pH dependent.16 The intermediacy
of diazonium ions in this reaction is well established. At
pD ¼ 10.50, 94% of the 1-butanol contains two H atoms
and 6% contains one D atom. In 1 M NaOD, only 75% of
the 1-butanol contains two H atoms, whereas 24% con-
tains one D atom and 1% contains two D atoms. This
clearly indicates that for 1-butyldiazonium ion in aqueous
solutions, only at 1 M lyoxide ion does k2 begin to become
It seems highly unlikely that much of the decrease in
kꢁ1/k2 can be ascribed merely to a decrease in the value of
the rate constant kꢁ1. Methyl or ethyl group substitution
for hydrogen, on changing from methyl- to ethyl- or 1-
propyldiazonium ion, might be expected to be acidifying
since the alkyl groups, relative to H, probably stabilize
the carbon nitrogen double bonds in the diazoalkane
bases. While it might therefore generally be expected
that acidifying effects would increase, and not decrease,
kꢁ1, a decrease in kꢁ1 might be observed if these proton
transfer reactions exhibit the same ‘anomaly’ as in the case
of nitroalkanes.22 Indeed, nitroethane and 2-nitropropane
are more acidic than nitromethane by ꢃ1.6 and ꢃ2.4
units, respectively,23,24 whereas the rate constants for
proton abstraction by hydroxide ion, analogous to the
k
ꢁ1 process of Eqn (4), are in fact larger.25,26 In the case
of nitroethane, the second-order rate constant for reaction
with hydroxide is smaller than for nitromethane, but only
by a factor of 5.2.
The larger rate constant for the less acidic nitro-
methane arises as a result of the ‘nitroalkane anomaly’
in which there is a lag in the development of resonance
and hyperconjugative stabilization in the transition state
for proton abstraction so that the electropositive polar
effects of the alkyl groups have more pronounced impact
on the transition-state energy than in the ground
states.22,27 The analogy of nitroalkanes might be parti-
cularly appropriate here because the NO2 group and the
Nþ2 group are similarly acidifying, in spite of the much
larger resonance electron-accepting ability of Nþ2 com-
pared with NO2 (ꢂꢁ ¼ 1.27 for NO2 and 3.43 for Nþ2 ).28
For nitromethane, the aqueous pKa ¼ 10.2,23,24 whereas
pKa ¼ 10 ꢅ 0.3 in aqueous 60% tetrahydrofuran has been
determined.17
However, there are factors that militate against pre-
suming that proton transfer reactions of diazonium ions
should be characterized by the strong imbalance that
applies in the case of nitroalkanes. First, unlike nitroalk-
anes, alkyl for hydrogen substitution on the methyldia-
zonium ion will have significant intrinsic stabilization of
the acid, the diazonium ion, in addition to the base,
diazoalkane. This stabilization arises from the consider-
able positive charge on the carbon atom proximal to N2 in
the diazonium ion, as has been demonstrated by high-
level ab initio calculations of Glaser’s group.18 This
stabilization will tend to mitigate imbalance by making
partly rate limiting, as k becomes competitive with
ꢁ1
increasing lyoxide ion concentration.
The absence of a change in rate-limiting step with
increasing pH in the hydrolysis of diazoethane and
diazopropane indicates that the ratios kꢁ1/k2 [Eqns (3)
and (4)] are more than 1000 times smaller for these
compounds compared with the case of diazomethane.
Upper limits were estimated by allowing the data for
diazoethane and diazopropane to be fit to Eqn (4),
although there is no compelling evidence for a downward
break in the plots of Fig. 1 for these compounds. The
results of the fits are indicated by the dashed lines through
the diamonds (diazoethane) and triangles (diazopropane).
Copyright # 2004 John Wiley & Sons, Ltd.
J. Phys. Org. Chem. 2004; 17: 483–488