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Very large equilibrium constants for the formation of
complexes—as in the case of 1·3—can be measured by
analyzing the thermodynamics of template displacement with
a competing monodentate ligand.[5] Thus UV/Vis titrations
were used to quantify the displacement of the template 3
from 1b·3, and from the complex of the linear hexamer, 4·3.
All these titrations show simple isosbestic behavior, and the
binding isotherms fit well to the calculated curves for two-
state equilibria with Kb values of 4.5 10ꢀ3 mꢀ5 and 2.4
104 mꢀ5 for 1b·3 and 4·3, respectively, which correspond to
Kf values of (6.6 ꢁ 4.2) 1038 mꢀ1 and (1.4 ꢁ 0.9) 1021mꢀ1
,
respectively. Comparison of these two binding constants
implies that the Gibbs energy required to bend the linear
hexamer 4 into a cyclic conformation is 101 kJmolꢀ1. The
complementarity of template 3 to the porphyrin hexamers can
be quantified by the effective molarity (EM) according to
Equation (1), where K0 is the binding constant of one arm of
Scheme 2. Optimized geometries of 23·3 and 1·3, calculated using the
MM+ force field (meso-aryl substituents omitted for clarity).
coupling of porphyrin dimer 2a/b under palladium/copper
catalysis, using iodine and air as oxidants.[7] Size-exclusion
chromatography in the presence of 1,4-diazabicyclo-
[2.2.2]octane (DABCO) gave the template-free nanorings
1a and 1b.
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
5
ꢀ6
ð1Þ
EM ¼ Kf K0
1H NMR spectroscopic analysis proves the high symmetry
of 1·3 and 1 (Figure 1). Each compound gives just two sharp
doublets for the b protons on the porphyrin units. The aryl
and tBu resonances in 1a·3 are split as the faces of the
the template for one site of the hexamer. K0 can be
approximated to the binding constant for 4-phenylpyridine
and a 5,10-diethynylporphyrin zinc monomer (K0 = 2.3
104 mꢀ1), which gives EM values of (340 ꢁ 60) and (0.10 ꢁ
0.02)m for 1b·3 and 4·3, respectively. Each of these effective
molarities is an average of five values, for coordination of the
second, third, fourth, fifth, and sixth sites of the template to
the porphyrin hexamer. The effective molarity for forming
1b·3 is an extremely high value for a noncovalent self-
assembly process,[8] and it is consistent with the fact that
pyridine is not able to displace the template.
To test how curvature changes the p conjugation in these
wires, we compared the absorption and fluorescence spectra
of the hexamer nanoring 1, and its template complex 1·3, with
those of the linear hexamer 4 and its template complex 4·3
(Figure 2). The template-bound nanoring 1a·3 exhibits a
sharp structured absorption band with maxima at 772, 809,
and 850 nm, and a shoulder at 905 nm. The template-free
cyclic hexamer 1a has a similar multiplet pattern, although its
spectrum is less well resolved, indicating greater conforma-
tional flexibility. The absorption spectrum of the linear
hexamer 4 is much broader with a maximum at 804nm, but
when coordinated to the template to form 4·3 it splits into four
peaks at 732, 781, 821, and 887 nm. The fluorescence spectra
of 1a, 1a·3, and 4·3 (lmax = 896, 914, and 894 nm, respectively)
are significantly red-shifted compared to that of the linear
hexamer 4 (lmax = 827 nm), showing that the nanoring has a
smaller S0–S1 gap and confirming that p conjugation is
effective around these curved porphyrin wires.
Changing the geometry of the hexamer from linear to
cyclic imposes symmetry-related constraints on the electronic
transitions. This can be understood qualitatively in terms of a
simple exciton model, assigning one transition dipole moment
to each porphyrin (Scheme 3). The lowest-energy transition,
corresponding to a head-to-tail arrangement of transition
moments, is strong for the linear hexamer 4, but forbidden for
the nanoring 1 because the transition moments cancel. This
model is of course very crude, but TD-DFT calculations give a
Figure 1. 1H NMR spectrum of 1a·3 (CDCl3, 298 K, 500 MHz).
porphyrin rings are nonequivalent with one side of each aryl
substituent pointing towards the center of the ring. After
removal of the template the faces of the porphyrin rings
become equivalent, probably because the porphyrin units
rotate rapidly on the NMR time-scale.
Previously, we reported that the template is displaced
from our porphyrin[8] nanoring with pyridine.[5] However,
pyridine does not displace the template from 1a·3 and 1b·3,
even when the complexes are dissolved in neat pyridine
([pyridine] = 12.4m). More strongly coordinating amines,
such as quinuclidine do displace the template from these
complexes, when used in large excess ([quinuclidine] > 0.4m;
250000 equiv).
ꢀ 2008 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2008, 47, 4993 –4996