Hydrogen-Bonded Host Frameworks
A R T I C L E S
lize in hexagonal or near-hexagonal symmetry through the
formation of hydrogen-bonded cylinders,56 but these do not
display the lamellae-cylinder isomerism exhibited by the GMS
compounds. Perhydrotriphenylene and tris(o-phenylenedioxy)-
spirocyclotriphosphazene form cylindrical host lattices with
hexagonal space group symmetry through van der Waals
interactions,,57-60 as do guest-free phases of various alkoxy-
substituted triphenylenes.61 In these examples, however, the high
space-group symmetry results from propagation of the threefold
point-group symmetry of the molecular constituents, whereas
the trigonal/hexagonal order in the TICs stems from curvature
of the 2D GS network into cylinders of hexagonal symmetry.
The structural resemblance of GMS inclusion compounds to
soft matter lamellar and hexagonal phases prompts the question
of whether concepts of amphiphile segregation, volume fraction
of dissimilar components, curvature, and interfacial tension can
be used, in general, to describe the solid-state structure of
molecular crystals. A structural correspondence between crystal
structures and soft matter microstructures has been invoked for
Ag+-based coordination networks, generated from various
polynitrile ligands, which formed cylindrical, perforated layer,
lamellar, gyroid network topologies.62,63 Periodic minimal
surfaces, on which the curvature vanishes on every point on
the surface,64 have been invoked for inorganic networks
comprising atoms of different sizes, which pack more efficiently
on a curved surface than on a plane.65 The structure of some
inorganic compounds has been described in terms of periodic
equipotential or zero-potential surfaces.66 Periodic minimal
surfaces also were invoked for a metal-organic framework that
crystallized in a cubic space group.67 Constant curvature and
minimal surface concepts invoked in these cases can provide a
convenient way to visualize space partitioning and structural
order,68 but inorganic and metal-organic networks typically do
not possess deformable elastic interfaces that are the signature
of soft matter microstructures, and the network topologies reflect
the propagation of the local symmetries. Perhaps more interest-
ing in this regard are molecular crystals that assemble through
“soft” and less directional intermolecular forces, such as van
der Waals and hydrogen bonding.69 Constant curvature surfaces
and polar/nonpolar volume ratios have been used to describe
the structures of various aromatic polyethers, polyalcohols,
aromatic and cyclohexylammonium carboxylates, and ether-
thioethers.63 Hydrogen-bond networks and a large unit cell
appear to play a role in the formation of one of only two single-
component compounds with the cubic Ia3hd space group (No.
230).70 A hydrate of a calix[4]resorcinarene has been reported
to crystallize (with nitrobenzene solvent molecules) in the cubic
I432 space group,71 each unit cell containing an octahedral cubic
spheroid assembled through 60 O‚‚‚H‚‚‚O hydrogen bonds that
produce a structure with “saddle surfaces” of zero mean
curvature and zero Gaussian curvature. Compounds like these
seem to support the notion that high space-group symmetries
are more likely for molecular aggregates assembled by soft
intermolecular interactions, such as hydrogen bonds. Interest-
ingly, lattices constructed from the centers of the atomic
positions of small molecules in low-symmetry space groups
closely resemble hexagonal or cubic close-packed lattices,
suggesting that the packing in many molecular crystals ap-
proaches high space-group symmetry.72 This is underscored by
a recent analysis of the CSD and the Protein Data Bank (PDB)
that determined that a plurality of proteins crystallizing in
hexagonal space groups exhibit a c/a ratio of (8/3)1/2, charac-
teristic of sphere-packing.73
Conclusion
The observation of 304 inclusion compounds out of a possible
624 host-guest demonstrates the remarkable versatility of the
GMS compounds as host materials. Unlike the related guani-
dinium organodisulfonate compounds, inclusion by GMS com-
pounds is not “predestined” as cavities between adjacent sheets
are not enforced by covalent connections provided by the
disulfonate pillars. Instead, the formation of inclusion com-
pounds in GMS hosts relies on collective, noncovalent dispersive
interactions among the arene rings of the hosts and guests,
including host-host, guest-guest, and host-guest interactions.
The GS sheets of the lamellar GMS host frameworks can be
viewed as “molecular jaws,” in which the organosulfonate
groups projecting from opposing sheets close around the guest
molecules. The ubiquity of the lamellar GMS inclusion com-
pounds and their crystal structures suggests that introduction
of guest molecules, which are not anchored to the GS sheet,
reduces packing constraints and facilitates the achievement of
more optimum packing modes, thereby providing an enthalpic
benefit compared with the guest-free phases. The persistence
of the GS network allows a comprehensive examination of the
effect of interchanging hosts and guests in a systematic manner.
The distinction between the GMS and GDS inclusion com-
pounds is most apparent from the formation of the hexagonal
TIC architecture, in which the use of a organomonosulfonate
allows constant curvature into cylinders, which is not possible
for GDS frameworks. To our knowledge, the observation of
lamellar and cylindrical architectures that are related through
curvature by a common elastic 2D network (i.e., the GS sheet)
is unique among molecular crystals. Furthermore, the classifica-
tion of crystal architectures according to simple molecular
variables, though common for soft matter, is rare for molecular
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