.
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5
4
presence of aniline A (s = 0.18), A would be displaced by
para
5
the more electron-rich A , leading to the generation of cage 5.
Crucially, as this transformation proceeds, the incorporation
5
of progressively more iodinated A residues will increase the
photosensitization efficiency of the system, thereby generat-
ing more singlet oxygen, which in turn increases the rate of
3
4
photooxidation of A to A . Progressive substitution will thus
3
increase the rate of the photooxidation of the A residues,
a behavior characteristic of an autocatalytic system, wherein
[
3]
the rate of reaction accelerates as it progresses.
1
Figure S13A shows the H NMR spectrum of cage 3 to
which A was added. The reaction medium was then saturated
5
with O and exposed to light. After 58 h of illumination, we
2
observed new multiple peaks (mp) overlapping with the Hj
Figure 5. Observed increase in the concentration of the displaced
and H doublets of cage 3 at d = 5.57 and 7.11 ppm (Fig-
3
k
aniline A as a function of time upon irradiating a mixture of cage 3
ure S13B–E). Concomitantly, new peaks were observed at
5
and A in acetonitrile under different reaction conditions. The arrow
5
.34 (mp), 6.65 (d) and 7.62 ppm (mp), whose intensity
indicates the point at which the reaction mixture followed in the lower
increased at the expense of peaks at 5.57 and 7.11 ppm as the
reaction continued. We also observed a small upfield shift
trace was exposed to O and light.
2
(
Dd = 0.03) of the signal at 6.65 ppm. As described below,
these observations are in accordance with the anticipated
photooxidation of cage 3.
We propose the following set of equations to describe the
autocatalytic cycle.
[16]
We attribute the appearance of multiple peaks during the
course of the reaction to the generation of a dynamic library
3
1
5
3
þ O ! 5 þ O
ð1Þ
ð2Þ
ð3Þ
2
2
[10b]
of cages.
As the photosensitized oxidation proceeds, three
1
þ O ! 4
2
3
kinds of aniline residues are present in the library: A from
4
5
4
cage 3, A from the product of photooxidation, and the added
4 þ A ! 5 þ A
5
A . Six potential bis(iminopyridyl)BODIPY ligands are thus
present: three homotopic and three heterotopic, which could
This system of equations describes an indirect autocatal-
ysis, one of the many types of autocatalysis. Oxygen and
[15]
[17]
form 91 constitutionally distinct cages,
leading to the
1
complexity of the observed H NMR spectra. Chemical shift
values of the new peaks at 5.34 and 7.62 ppm were compa-
light participate in the autocatalytic cycle by creating an
4
electron-deficient subcomponent (A ), the displacement of
rable to those of the H and Hk protons of cage 5 (Fig-
ure S13F), which is consistent with the incorporation of A
which becomes thermodynamically favorable during subcom-
ponent substitution. This proposed mechanism is consistent
with the kinetic data (See Supporting Information, Section S6
for a detailed analysis).
j
5
residues into the cage. Mass spectrometry also supported the
presence of a multitude of multiply substituted cage species,
containing all three kinds of aniline residues (Figure S14). A
complete transformation of the dynamic library into cage 5
was not observed even after prolonged exposure to light and
oxygen (13 days at 608C).
We carried out a control experiment to test our inter-
pretation of these events, wherein the same transformations
were carried out in the absence of light and oxygen (Fig-
3
ure S17). An initial exponential rise in the production of A
3
We tracked the concentration of the displaced aniline A
(Figure 5, lower trace (*)) was observed, with an observed
1
obs
À1
through H NMR integration as the reaction progressed. As
rate constant k1 = 0.018 Æ 0.002 h , continuing to equilib-
shown in Figure 5 (top trace (~)), the concentration was
observed to increase rapidly during the first ca. 75 h. An
intermediate stage was then observed (from ca. 75 h to 250 h),
where the rate of substitution was lower. Finally, the rate
increased in an exponential fashion after 250 h. We did not
observe a final sigmoidal plateau because the NMR peaks
rium (K = 0.084 Æ 0.002). However, we did not observe the
eq
second exponential rise in the absence of oxygen and light.
When the reaction medium was subsequently saturated with
oxygen and exposed to light, we observed the characteristic
induction period followed by a rapid increase in the rate of
obs
À1 À1
the reaction with k2 ꢀ 45m h . This control experiment
thus supports our hypothesis that photooxidation-driven
subcomponent exchange is responsible for autocatalysis.
Comparison of the two experiments of Figure 5 provides
further confirmation of autocatalysis: The more rapid initial
rise in the rate of substitution in the light reaction (top trace
(~)) as compared to the dark reaction (lower trace (*)) is
III
broadened, possibly due to a buildup of paramagnetic Fe
produced under oxidizing conditions over several hundred
hours.
3
We infer that the initial rapid release of A is due to an
imine exchange reaction that then slows as equilibrium,
3
mostly favoring A incorporation, is reached. The induction
3
4
5
period that follows involves photooxidation of A to A
inferred to be due to the greater degree of incorporation of A
4
followed by release of A , slowly at first, and then more
residues at earlier times, which engenders a progressively
faster substitution rate in the light reaction. If the substitution
observed in the light reaction were simply due to a pre-
equilibration (as in the dark reaction) followed by displace-
rapidly as autocatalysis sets in. The incorporation of iodoani-
5
1
line (A ) residues into the cage increases the O generation
2
efficiency, in turn increasing the rate of the oxidation step.
1
ꢀ 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2015, 54, 14378 –14382