E. A. CASTRO, R. ACEVEDO AND J. G. SANTOS
Equation (2) can equally be applied to Schemes 1 and 3 for the
following reasons: By application of the steady state treatment to
the Tꢀ intermediate, Eqns (3) and (4) can be deduced for
Schemes 1 and 3, respectively.
thiocarbonyl carbon of the former compound should be more
positive and, therefore, more prone to nucleophilic attack by
the amine.
In Fig. 1 it can be observed that the curved Brønsted-type plots
for the reactions of 2 and 3 are almost parallel and the curve for 2
is above that for 3. Namely, thionocarbonate 2 shows a greater
reactivity toward anilines relative to 3, irrespective of the rate-
determining step. For the reactions of anilines of pKa < pKa0 the
rate-limiting step is the proton transfer from the intermediate Tꢀ
to HPO24ꢁ (k4 step in Scheme 3). For the reactions of these amines,
kN is given by Eqn (6). Since k1 for 2 is larger than that for 3 (see
above) and the kN (2)/kN (3) ratio is fairly constant along the pKa
axis, the larger kN value for the reaction of 2 can be explained
solely by the larger k1 value for this reaction compared with that
k1k2
kN
¼
(3)
(4)
k
ꢁ1 þ k2
k1k4½HPO42ꢁꢂ
kN
¼
k
ꢁ1 þ k4½HPO42ꢁꢂ
For very basic anilines,
k
ꢁ1 ꢆ k2 (Scheme 1) and
k
ꢁ1 ꢆ k4[HPO24ꢁ] (Scheme 3). Therefore, kN ¼ k1 for both schemes
and formation of the Tꢀ intermediate is rate limiting. On the other
hand, for weakly basic anilines, kꢁ1 ꢇ k2 (Scheme 1) and
k
ꢁ1 ꢇ k4[HPO2ꢁ] (Scheme 3). In these cases, kN ¼ k1k2/k
for 3. Namely, the k4/k ratio should be similar or the same for
ꢁ1
ꢁ1
4
(Scheme 1) and kN ¼ k1k4[HPO24ꢁ]/kꢁ1 (Scheme 3) and breakdown
of Tꢀ to products is the rate-determining step in Scheme 1 (k2
step) and proton transfer from Tꢀ to HPO42ꢁ is rate limiting in
Scheme 3 (k4 step).
the reaction of a given aniline with 2 and 3. Since for the
reactions following Scheme 1 the kꢁ1/k2 ratio is related to the pKa0
value, Eqn (7),[17] a similar equation can be derived for Scheme 3,
Eqn (8). This means that the pKa at the center of the Brønsted
curvature should be similar or the same for both reactions series.
In fact the experimental pKa0 values obtained for the anilinolysis
of 2 and 3 are similar and their difference is within the
experimental error (see above). This indicates that the substi-
tution of 3-Cl by 3-MeO as the non-leaving group of the substrate
is not such a substantial change as to affect the pKa0 value.
Important pKa0 shifts have been observed when very different
substituents are placed in the non-leaving group. This is the case
of the pyridinolysis of bis(2,4-dinitrophenyl) and phenyl (2,4-
dinitrophenyl) carbonates, which show pKa0 values of 7.2 and 8.0,
respectively.[18] Namely, the addition of two nitro groups to the
non-leaving group of the latter compound lowers the pKa0 value
by 0.8 units.
According to the above arguments, the Brønsted slope for rate-
determining formation of the Tꢀ intermediate (b1) should be the
same for Schemes 1 and 3. On the other hand, the Brønsted slope
for rate-determining k2 or k4 steps (b2) should also be the same
for both schemes since the rate constants k2 and k4 are both
independent of the aniline basicity.[7,8,12,14] Namely, b2 is a
measure of the sensitivity of log K1 (K1 ¼ k1/kꢁ1) to the amine
basicity and is independent of k2 and k4 because the derivative of
log k2 or log k4 to the amine pKa is zero.[14]
Therefore, for all the reasons mentioned above, Eqn (2) can be
derived from Scheme 1 as well as from Scheme 3. Nevertheless,
the interpretation of pKa0 is different: for Scheme 1 this is the pKa
of an amine for which k ¼ k2,[15] whereas for Scheme 3 it is the
ꢁ1
pKa of an amine for which k ¼ k4[HPO2ꢁ].
ꢁ1
4
ꢀ
ꢁ
k
Since in the present work the plots of kobs against [aniline] were
performed at constant pH and three pH values were used for the
reactions of each aniline, maintaining constant the total buffer
concentration, Eqn (4) can yield Eqn (5). In this equation [B]tot
ꢁ1
log
¼ ðb2ꢁb1ÞðpKa0ꢁpKaÞ
(7)
(8)
k2
ꢀ
ꢁ
k
ꢁ1
log
¼ ðb2ꢁb1ÞðpKa0ꢁpKaÞ
represents the concentration of total buffer (H2POꢁ4 þ HPO42ꢁ
)
k4½HPO42ꢁꢂ
and FB ¼ KaB=ðKaB þ ½HþꢂÞ, where FB is the dianionic fraction of the
buffer and KaB is the dissociation constant of H2POꢁ4 . For anilines of
pKa < pKa0 (for which kꢁ1 > k4FB[B]tot), Eqn (5) simplifies to Eqn (6).
According to Scheme 3, the plots of kobs versus [aniline] should be
linear, as found. Nonetheless, since the slopes of the plots (kN) are
given by Eqns (5) and (6), these slopes should be pH dependent,
which was not found. Nevertheless, we think that the pH range
used (7.2–7.8 in some cases and 6.5–7.5 in others) was too small
to detect this effect.
As seen in Fig. 1, the Brønsted plot for the anilinolysis of
thionocarbonate 1 is linear. The value of the slope is b ¼ 0.62,
which is consistent with a concerted mechanism (shown in
Scheme 4) since most of these processes show Brønsted slopes
within the range 0.5–0.7.[7,8] Nonetheless, it is known that the b
value alone is not enough to conclude that a mechanism is
concerted. It is also necessary to make sure that the expected pKa
value at the center of the Brønsted curvature ðpKa0Þ for a
hypothetical stepwise mechanism is within the pKa range
used.[2,19]
If the mechanism of the anilinolysis of 1 were stepwise and the
curvature center were located at a pKa value greater than 6, the
experimental b value (0.62) would correspond to b2 (the Brønsted
slope when the k2 step is rate determining).[7,8,14] Nevertheless,
this value is too small to be considered as b2 since these values
are usually in the range 0.8–1.1.[7,8,14] On the other hand, if for the
hypothetical stepwise mechanism the value of pKa0 were lower
than pKa ca. 3 (that of the least basic aniline), the k1 step would be
rate-limiting and the Brønsted slope would be b1. The
experimental value (b ¼ 0.62) is too large in this case in
comparison with those obtained in stepwise aminolysis when
formation of the zwitterionic tetrahedral intermediate is rate-
determining (b1 ¼ 0.1–0.3).[7,8,14] Therefore, the stepwise mech-
k1k4FB½Bꢂtot
kN
¼
(5)
(6)
k
ꢁ1 þ k4FB½Bꢂtot
k1k4FB½Bꢂtot
kN
¼
k
ꢁ1
Greater values of kN were found for the reactions of anilines
with 2 compared to those with 3 (Table 4 and Fig. 1). For
the reactions of both compounds with the most basic aniline
(4-phenylendiamine) the formation of the intermediate Tꢀ is
rate-limiting (k1 step in Scheme 3). The larger kN (¼k1) value
for the reaction of this amine with 2, relative to that with 3, can
be explained by considering the inductive and resonance
effects of the substituents in the thionocarbonates. Since 3-Cl
in 2 is more electron-withdrawing than 3-MeO in 3,[16] the
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J. Phys. Org. Chem. 2011, 24 603–610