C O M M U N I C A T I O N S
In being rationalized in terms of interaction energy densities
rather than interaction energies per molecule, our results suggest
that Kitaigorodskii’s principle of closest-packing might also apply
to 2D molecular systems.6 They indicate that considering interaction
energies per molecule might not be sufficient to determine lowest-
energy configurations of 2D molecular systems: Intrinsically
stronger intermolecular association (favoring low order honey-
combs) may be counterbalanced by tighter packing (favoring higher
order honeycombs). A similar conclusion has been drawn for 3D
crystallization by Angeloni and co-workers: When determining the
three-dimensional crystal structures of a series of [PtCl4]2- and
[SbCl5]2- salts,10 they found that local HB interactions, although
important in determining the local intermolecular geometry, are not
the only or even the decisive influence on the crystal structures.
The close-packing of the complex ions also plays an important role,
and the crystal structures of these molecular salts result from the
subtle balance of directional HBs and close-packing. Similarly, our
results provide a 2D example where both, the Desiraju-Wuest
postulate and Kitaigorodskii’s principle of closest packing, play
important roles in determining molecular crystal structures.1,6
In summary, we have investigated the self-assembly of the novel
C3 symmetric star-shaped molecule 1 on a Au(111) surface at the
submolecular level by STM. We observe a variety of chiral
honeycomb structures where molecules inside half-unit cells are
close-packed via vdW interactions while half-unit cells are con-
nected to each other via dimeric HBs between carboxyl groups.
The networks are chiral due to nonsymmetrical molecular close-
packing inside the half-unit cells. The coexistence of various
honeycomb orders highlights the subtle interplay of directional HB
and less specific vdW interactions in determining 2D crystal
structures.
Figure 4. (a) Interaction energy per molecule (Enmol) vs the order (n) of
the honeycomb networks of 1. (b) Interaction energy density (EnA) vs the
order (n) of the honeycomb networks of 1. Different ratios (R) of the
interaction energy of dimeric hydrogen bonds to that of a close-packed trimer
are plotted. The red curves with R ) 1.02 correspond to the actual interaction
energy values as obtained from Amber3 force field calculations.
chiral due to the asymmetric molecular close-packing inside half-
unit cells. Generally, we propose that if a molecule with C3
symmetry can form both a honeycomb network via a strong and
directional binding and a hexagonal close-packed structure via a
weaker interaction, it will also be able to self-assemble into a series
of higher order honeycomb network structures with increasing
interpore distance.
In the case of TMA, the formation of higher order honeycomb
networks with increasing coverage is understood from simple
H-bond optimization considerations.8 In the present case of the HPB
species 1, however, the coexistence of various honeycomb orders
at submonolayer coverages calls for a more elaborate explanation.
We have investigated the energetics of the HCn family of
honeycomb networks by means of molecular force field calculations
(see Supporting Information). For a honeycomb network HCn of
Acknowledgment. Financial support by the European Com-
mission(RADSAS,NMP3-CT-2004-001561)isgratefullyacknowledged.
Supporting Information Available: Synthesis and characterization
of compounds, STM experiments, molecular modeling, chirality of
surface-adsorbed 1, and force field calculations. This material is
mol
order n, the total interaction energy per molecule is given by En
) (3nEHB + n(n - 1)ECP)/(n(n + 1)), where EHB and ECP refer to
the energy gains of forming a dimeric HB and a close-packed trimer,
respectively. The resulting interaction energy as a function of order
n is shown in Figure 4a. The red curve corresponds to a ratio R )
EHB/ECP of 1.02 between the dimeric hydrogen-bonding and trimeric
close-packing interaction energies as given by Amber3 force field
calculations (EHB ) -7.9 kcal/mol; ECP ) -7.75 kcal/mol; see
Supporting Information). According to this interaction energy per
molecule curve, submonolayers of 1 should obviously condense
exclusively in the strongly favored order 1 network HC1, which is
contrary to experimental observations. Kinetic limitations are not
able to explain the formation of higher order networks, since they
are expected to act in the opposite direction, that is, to hinder the
formation of higher order, more complex structures.
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The situation looks different if we consider the total interaction
2
energy density EnA ) (3nEHB + n(n - 1)ECP)/ꢀ3/2dn , that is, the
interaction energy per unit area. The resulting interaction energy
density curves for different EHB/ECP ratios R are shown in Figure
4b. For the ratio R ) 1.02 corresponding to our calculated
interaction energy strengths, the interaction energy density depends
only weakly on the order n of the network, and exhibits a minimum
for n ) 2∼3. Higher order networks (n ) 4, 5,...) are only slightly
less favorable. The near degeneracy of the interaction energy density
for order 2, 3,..., 8 honeycomb networks thus rationalizes the
experimentally observed coexistence of these different honeycombs
of 1.
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(9) See the Supporting Information for detailed molecular models of the L-
and R-domains of the HC2 structure.
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