2
86
C.W. West et al. / Journal of Molecular Catalysis A: Chemical 398 (2015) 282–288
Table 3
that hydration of the cyanide ions will cause an increase in aque-
+
−
◦
Experimental distribution ratios of Q Br between toluene and water at 60 C, and
the percent of the total catalyst amount that is present in the organic phase.
ous phase concentrations for the cyanide salts over the bromide
salts measured. However, while the values are for the bromide salts,
the trends for the cyanide salts should be similar. Another notable
difference between these values and those in the actual reacting
system may result from the ionic strength of the solution in the
reaction experiments. Here we have no added salt, and the aque-
ous phase during reaction is saturated with KCN. While the degree
to which this will affect distribution is not quantified, its effect on
the hydration and distribution of the two thiaquat salts with termi-
nal propyl groups should be similar. We predict that the increased
ionic strength in the aqueous phase will increase the amount of cat-
alyst complex in the organic phase. In summary, while the values
in Table 3 do not represent the distribution ratios for the specific
reactive complex in this study, the trend in values should be similar
for our reactive system.
Salt
˛
%Q+org
2
2
1
−
TDAB
THAB
SC8
S(n-C3)
S(i-C3)
1.1 × 10
1.0 × 10
4.0 × 10
1.1 × 10
99%
99%
98%
1.1%
1.8%
2
2
1.8 × 10−
the anion, thus weakening the ion pairing and making the ion a
stronger nucleophile. The activation energies for the thiaquat salts
are higher than those for their analogous alkyl quats. The higher
activation energy for the sulfur-containing salts is consistent with
our interpretation that the thiaalkylammonium cations associate
more strongly with the reactant anions, as more energy is neces-
sary to weaken that association for reaction to occur. The data for
the branched thiaquat supports this reasoning, showing that with
hindered access to the sulfur region, the activation energy is similar
to that with a longer chain. This effect is discussed further below in
terms of computational results.
Also included in Table 3 are values for the percent of the total
quat salt in the system that is present in the organic phase. Based
on those distribution ratios and the relative volumes of the toluene
and aqueous phases, this percent was calculated:
−
1
+
%
Q
= (1 + 1
)
× 100%
(5)
o r g
˛
3.5. Effect of catalyst amount
If the difference in apparent rate constants is solely due to the
difference in distribution between the phases, then the ratios of the
rate constants using two different catalysts should be equal to the
ratio of the percent of total catalyst present in the organic phase:
The effect of changing the amount of catalyst in the system was
◦
investigated by doubling the amount of SC for a reaction at 60 C.
8
As can be seen in the data in Table 1, the increase in the apparent
rate constant is less than a factor of 2. One possible explanation for
this behavior is that the solubility of the catalyst in toluene was
+
%
Q
k1
org,1
=
(6)
+
+
−
k2
%Q
exceeded in this case. If so, then [Q CN ] in Eq. (2) is not actually
doubled as intended, resulting in a lessened rate enhancement. An
additional possibility for consideration is that the rate of reaction at
the higher catalyst concentration is sufficiently fast that mass trans-
fer limitations at the phase boundary begin to affect the apparent
rate.
org,2
This relationship is based upon the assumption that the rate limit-
ing step is the second-order elementary step in the organic phase,
shown in Fig. 1.
Comparing the thiaalkyl salts in Table 3 to the TDAB and THAB,
the relationship between the rate constants shown in Eq. (6) does
not appear to hold true. For the longer salts, TDAB and SC , there is
8
3
.6. Mass-transfer limitations
not a significant difference in organic phase concentration, but the
◦
rate constant for SC is less than half of that for TDAB at 60 C. For
8
Based on the activation energies shown in Table 2, we conclude
the smaller salts, the rate constants are of the same order of mag-
nitude, while the distribution ratios differ by almost four orders
of magnitude. If the difference in rates resulted from distribution
only, the rate constant for the thiaalkyl salts should be approxi-
mately 50 times smaller than that for the THAB. The fact that the
thiaquat rates are much faster than predicted by the distribution
ratio may indicate significant reaction occurring at the interface
with the thiaquat catalysts.
The difference in reaction rates resulting from reactions using
each of the two 7-unit thiaalkyl quats also does not appear
attributable to distribution alone. The distribution ratios are sim-
ilar, while the rate constant for the salt with the isopropyl group
attached to the sulfur is more than twice that for the one with the
n-propyl group. Even more significant, the rate for the branched
that the stirring rate of 1400 rpm is sufficiently high that the rate
of mass transfer does not limit the rate of reaction for most of the
experiments performed. Temperature dependence would be sig-
nificantly reduced if mass transfer were the rate-limiting step. The
one case where that may present an exception is the reaction with
doubled catalyst amount, addressed above.
3.7. Distribution ratios
The measured distribution ratios, defined:
+
−
[
Q Br ]
org
˛
=
(4)
+
−
aq
[
Q Br ]
thiaquat S(i-C ) is greater than that for the longer-chain thiaquat
SC , despite the much greater concentration of the SC8 complex
8
for selected quaternary ammonium salts between toluene and
water at 60 C are displayed in Table 3.
3
◦
in the organic phase. A likely explanation for this behavior is that
in addition to distribution effects, the strength of ion pairing has a
critical effect on reaction rates. This is further explored below using
molecular modeling.
A pronounced difference is observed between the behavior of
the traditional quats and the thiaquats, indicating a significant
increase in hydrophilicity resulting from the presence of the sulfurs.
This can be attributed to interaction between the lone pairs on the
sulfur atoms and the hydrogens in the water molecules. Further evi-
dence supporting this explanation can be found in comparing the
distribution ratios for the three thiaquats in the table. The salt with
the octyl chain beyond this sulfur favors the organic phase, while
both salts with terminal propyl groups favor the aqueous phase.
Note that these values were measured using a bromide anion
rather than the cyanide anion in the reacting complex. It is possible
3.8. Quantum-based modeling
Computational molecular models were generated for the set of
seven-unit-chain quat salts, which includes the linear traditional
and thiaquat analogs and one branched thiaquat. The lowest-
energy conformations of these model cations and their cyanide