Angewandte
Chemie
also in agreement with their different sizes; the shorter alkyl
chains fill the small triangles whereas the much larger
semiperfluorinated chains fill the hexagons.[15] Within the
hexagons, there is an electron density gradient that changes
from highest in the center (purple), where exclusively
fluorinated segments are located, to lower electron density
near the periphery (blue), where perfluorinated end groups
are mixed with the aliphatic spacers (see also the surface plot
in Figure S5a in the Supporting Information). The aromatic
rodlike moieties are located in the medium-electron-density
areas (green), which represent the thin walls separating the
hexagonal fluorous from the triangular aliphatic cells.[16]
Calculation of the number of molecules per unit cell,
assuming a height of h = 0.45 nm (see Table S2 in the
Supporting Information), gives a value of approximately
eight molecules. This corresponds to an average thickness of
the walls separating the distinct compartments of approx-
imately 1.4 aromatic cores. Molecular dynamics simulations
(Figure 2d) performed with six molecules per unit cell
confirm that phase separation is achieved by the proposed
structure and that it is stable under the given boundary
conditions, but suggests some overcrowding in the triangular
and some deficit in the hexagonal cylinders. It is possible that
the stacking of aromatic rods is staggered (see Figure S5b in
the Supporting Information), so that the average elevation
along the cylinder axis (the “unit cell height”) is reduced,
giving the required six molecules per cell. Such staggering
could be related to the need for some molecules to contribute
both side chains to the hexagonal cylinders to redress their
material deficit (see Figure S4 in the Supporting Informa-
tion).
Figure 2c). Only the aliphatic spacers (blue) are mixed with
parts of the fluorinated segments in the shells around the
fluorinated column cores. This complexity is typical of
biological systems, wherein a single cell incorporates many
different units to perform distinct biological functions, but, to
the best of our knowledge, has never been achieved in any
artificial soft-matter structure.[19] Related polyphilic mole-
cules should lead to numerous other LC phases with even
more complex tiling patterns, establishing a new level of
complexity in LC design. Likewise, the DPD simulation
model developed here should prove to be an efficient tool for
the prediction of new morphologies.
Received: June 20, 2008
Published online: October 16, 2008
Keywords: kagome structures · liquid crystals · nanostructures ·
.
self-assembly · soft matter
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To examine the formation of the kagome LC phase,
dissipative particle dynamics (DPD) simulations were per-
formed following the procedure described by Groot and
Warren.[17] This simulation methodology has been particularly
successful for simulations of block copolymers and, given the
blocklike nature of compound 1, should also provide a route
to understanding the structure and formation of the kagome.
To represent compound 1, the molecule was simplified into
collections of beads, where each bead consists of approx-
imately eight similar atoms (see inset in Figure 2e). The DPD
parameters used to describe the terphenyl, hydrophilic,
perfluorinated, and alkyl groups were defined based on a
training set of molecules for bolaamphiphiles established by
Bates and Walker.[18] The simulations were started using an
isotropic phase at high temperature to ensure that any
ordered structures observed were not biased by the starting
conditions. The temperature was then lowered in small steps
and the simulations monitored for any evidence of long-range
structure. On cooling from the isotropic liquid (Figure 2e),
the kagome structure (Figure 2 f) is the first ordered phase
observed for this model, thus confirming the X-ray character-
ization.
[4] A. K. Sinha, Topologically Close-PackedStructures of Transition
Metal Alloys, Pergamon, Oxford, 1972.
[5] N. Chelyapov, Y. Brun, M. Gopalkrishnan, D. Reishus, B. Shaw,
[6] a) H. Zhou, H. Dang, J-H. Yi, A. Nanci, A. Rochefort, J. D.
Uji-i, K. Tahara, T. Ichikawa, M. Sonoda, F. C. De Schryver, Y.
Schlickum, R. Decker, F. Klappenberger, G. Zoppellaro, S.
Klyatskaya, W. Auwärter, S. Neppl, K. Kern, H. Brune, M.
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Kain, S. Diele, J. Am. Chem. Soc. 2001, 123, 6809; b) X. H.
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Götz, P. Bäuerle, F. Liu, X. Zeng, G. Ungar, C. Tschierske,
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This new mesophase represents a highly complex fluid
structure, which is composed of five distinct nanometer-sized
subphases organized on a p6mm lattice. Four of the molecular
segments, glycerol groups (light green), aromatic cores (green
and black lines), alkyl chains (red), and perfluorinated ends
(purple) are localized in their own domains (see model in
[9] a) B. Chen, X.-B. Zeng, U. Baumeister, G. Ungar, C. Tschierske,
Angew. Chem. Int. Ed. 2008, 47, 9063 –9066
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