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steps, Equations (1) and (2) (model 1), using COPASI kinetic
modeling software.
Fixing k and k to the values determined in the absence of
3
4
1
, and K (2bꢀ1), K (3bꢀ1) and K (4bꢀ1) to the measured
a
a
a
From the fit of the data, we obtained the rate constant
magnitudes (Table 1), within experimental error, also pro-
duced a reasonable fit to the experimental distribution of the
species for the time course of the hydrolysis reaction of 2b
chaperoned by 1 (Figure 4c, solid lines).
À2
À1
À3
À1
values k = 1.7 10 min and k = 2.3 10 min (Fig-
1
2
ure 4a, dashed lines). Based on this model, the determined
rate constant values for the hydrolysis reactions in the water/
container interface show that the first step [Eq. (1)] is seven-
fold faster than the second one [Eq. (2)]. This result is difficult
to reconcile with the experimental observation made for the
Remarkably, the theoretical kinetic models 1 and 3
produced quite different results in the simulations of the
time course for the hydrolysis reaction of 2b chaperoned by
1.5 equiv of 1. Model 1 considers that the hydrolysis reactions
take place exclusively in the bound substrates and forecasts
no changes in reaction rates. Conversely, model 3 assuming
that only the free species are hydrolyzed in the bulk aqueous
solution projects a significant reduction in reaction rates
owing to the increased sequestering effect of the free reacting
species by complexation with the additionally added contain-
er.
3
bꢀ1 complex, which preferentially locates the reactive
isonitrile end at the open cavity of the container not providing
an increased protection for its hydrolysis.
[41]
Moreover, model 1 disregards that the reactions can also
take place in the bulk solution by assuming that the rates are
very slow and the concentration of the free substrates
negligible. However, the bis-isonitrile 2b and the mono-
formamide 3b are perfectly soluble in water at millimolar
concentrations.
In order to evaluate which of the two models was most
reliable, we experimentally undertook the hydrolysis of 2b in
the presence of 1.5 equiv of 1. Figure 4d displays the
experimental time course of the reaction (points). The dashed
and solid lines represent the simulated kinetic profiles using
models 1 and 3, respectively. The simulation of the exper-
imental data to model 3 is good, suggesting that it better
explains the observed selectivity enhancement in the acid-
catalyzed hydrolysis of 2b. In short, container 1 sequesters 2b
and 3b offering protection to their isonitrile end groups
towards the hydrolysis reaction. The hydrolysis of the
substrates occurs mainly as the free species present in the
bulk solution. Because the concentrations of the free reac-
tants are very low, their hydrolysis reaction rates are reduced.
This is specially the case for the mono-formamide 3b, whose
concentration free in solution becomes relevant when close to
80% of 2b has reacted.
To evaluate the scope and generality of the sequestering
and protection effect delivered by the synthetic chaperone
1 in improving the selectivity for the acid-catalyzed hydrolysis
of symmetric aliphatic a,w-bis-isonitriles, we used a series of
shorter and longer homologues of 2b (Figure 1b). In the case
of the bis-isonitrile 2a, having a spacer with three methylene
groups, the reaction selectivity for the mono-formamide 3a
was reduced to 70% and the reaction rate was just slightly
diminished compared to that in the absence of 1. The
maximum percentage of 3a was obtained after 40 min of
reaction instead of ca. 2 h required for 3b. Taking into
account the smaller binding affinities of the shorter substrates
2a and 3a for 1 (see SI), compared to the longer counterparts
2b and 3b, the obtained results can be simply explained by
invoking an attenuation in the sequestering effect of the
container. Also in this case, model 3 provides a good fit to the
obtained hydrolysis kinetic data (see SI, Figure S128).
Using identical conditions, we performed the hydrolysis
experiment of the bis-isonitrile 2b in the absence of container
1. The reaction profile showed also a good fit to two
consecutive first-order irreversible reactions, Equations (3)
À2
À1
and (4) (model 2), with k = 7.0 10 min and k = 3.5
3
4
À2
À1
1
0
min (Figure 4b, solid lines).
The selectivity of the reaction for the mono-formamide 3b
reached a maximum of 50%, in agreement with the theoret-
ical statistical distribution for identical microscopic reaction
rate constants. As could be expected from a protective/
sequestering effect of the container, the calculated rate
constant values in the absence of 1 increased more than
four-fold with respect to those determined above. For this
reason, the 50% maximum concentration of 3b was obtained
after 20 min of reaction compared to ca. 2 h needed to
produce 3b in an extent of 80% in the presence of 1.
Having determined the rate constants for the hydrolysis
reaction of 2b in the bulk solution and the binding constants
of the inclusion complexes of 1 with all the species at 313 K,
we decided to mathematically analyze the hydrolysis data in
the presence of 1 using a more elaborate kinetic model. This
model includes two consecutive irreversible reactions occur-
ring in the bulk solution, Eqs. 3 and 4, and the reversible
formation of three complexes: 2bꢀ1, 3bꢀ1 and 4bꢀ1,
Equations (5)–(7) (model 3). It also assumes that the rates
of the hydrolysis reaction of the bound substrates are
negligible.
Angew. Chem. Int. Ed. 2021, 60, 10359 – 10365
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