Angewandte
Communications
Chemie
structures. Thus, the diameter (d) was 32 ꢂ for both 1mono
and 1outꢁ1in, and the thicknesses (t) were 13 and 19 ꢂ for 1mono
and 1outꢁ1in, respectively (Figure 3c and Figure S2). These
structural parameters can be converted into the expected
hydrodynamic radius through Equation (1) to afford the
expected values of 15 ꢂ for 1mono and 16 ꢂ for 1outꢁ1in. This
result also confirmed the formation of the bowl-in-bowl dimer
in solution.[25]
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ꢀ1
ꢀ ꢁ
ꢀ ꢁ
2
2
3
4
t
d
d
t
t
d
t
d
t
d
ð1Þ
Rh ¼
d
1 þ
þ
ln
þ
1 þ
ꢀ
In summary, we have synthesized a nanometer-sized,
carbon-rich multiring by assembling 20 phenylene panels with
25 biaryl bonds under geodesic constraints. The geodesic
design was applied for the first time to phenylene multirings
and resulted in the bowl-shaped molecular structure. The
large, anomalous molecular shape facilitated concave–convex
recognition for formation of the bowl-in-bowl dimer in the
crystalline state. The dimerization as well as its thermody-
namics were investigated spectroscopically to reveal an
entropy-driven assembly in solution. Geodesic arylene mul-
tirings may be of interest for exploring carbon-rich materials
with unique three-dimensional molecular shapes.
Figure 3. Bowl-in-bowl assembly of 1. a) VT 1H NMR spectra of 1 in
CDCl3 (10 mm). New resonances appearing at 313 K are marked with
asterisks. b) Thermodynamics of bowl-in-bowl assembly from the
van’t Hoff analysis. c) Molecular size of the bowl-in-bowl dimer in the
crystal.
Acknowledgements
This study was partly supported by JST ERATO
(JPMJER1301) and KAKENHI (24241036, 25102007,
16K04864). We thank Dr. M. Oinuma, Dr. S. Takahashi, and
C. Yang (ERATO) for the large-scale preparation of [5]CMP,
and KEK PF (Research 2015G097) for the use of their X-ray
diffraction instruments.
We then investigated the association thermodynamics of
the dimer formation through variable-temperature (VT)
NMR spectroscopy. The concentrations of 1mono and 1outꢁ1in
were determined from the spectra at each temperatures and
were converted into association constants through the equa-
tion Ka = [1outꢁ1in]/[1mono]2 (e.g. Ka = 55mꢀ1, 298 K; Table S2).
The temperature-dependent Ka values were further analyzed
by a 1/TꢀlnKa plot (Figure S4),[20] which revealed an associ-
ation enthalpy (DH) of + 9.6 kcalmolꢀ1 and an association
entropy (DS) of + 40.2 kcalmolꢀ1 Kꢀ1 through a vanꢀt Hoff
analysis (Figure 3b). The entropy contribution for the asso-
ciation energy (ꢀTDS) was thus ꢀ12.0 kcalmolꢀ1, which
showed the entropy-driven assembly of 1outꢁ1in. We believe
that this entropy-driven assembly originated from desolvation
of the curved carbon-rich planes, which has also been
observed with other curved p-systems.[21] Similar entropy
gains from the desolvation may be crucial for the assembly of
gigantic bowl-shaped nanocarbons such as carbon nano-
cones.[22]
Finally, we analyzed the diffusion constants (D) of 1mono
and 1outꢁ1in at 298 K by DOSY. The D values were (2.8 ꢂ
0.1) ꢁ 10ꢀ10 and (2.4 ꢂ 0.1) ꢁ 10ꢀ10 m2 sꢀ1 for 1mono and 1outꢁ1in,
respectively (Figure S5), which were consistent with the
monomer/dimer structures of different molecular weights.[23]
By applying these values in the Stokes–Einstein relation-
ship,[24] we determined apparent hydrodynamic radii (Rh) of
(14.4 ꢂ 0.6) ꢂ for 1mono and (16.5 ꢂ 0.7) ꢂ for 1outꢁ1in. The
apparent hydrodynamic radius is an equivalent radius of
spherical objects and matches well with the expected hydro-
dynamic radii calculated from the nonspherical crystal
Conflict of interest
The authors declare no conflict of interest.
Keywords: macrocycles · meta-phenylene ·
molecular recognition · nanostructures · self-assembly
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ꢀ 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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