Communications
respectively. However, there is a large difference in the
To gain further insight into the contribution of the CÀ
H···Cl and NÀH···Cl contacts provided by the straps in 2 and 3,
the less expensive B3LYP/DZVP2 level of theory was used to
optimize the geometry of the chloride-bonded structures for
strapped calixpyrroles 2 and 3, as well as for the furan
analogue 4 (Figure 4). Starting from the crystallographic
distance involving the apical strap-derived contact, with the
À
pyrrole strap providing a closer NÀH···Cl contact by 0.63
than the corresponding benzene CH interaction. The dihedral
angles around the 2,5-substituted pyrrole and the 1,5-sub-
stituted benzene moieties in the straps also differ, that is, the
benzene subunit is tilted more than the pyrrole subunit,
presumably to compensate the shorter net linker distance. At
present, no experimental structural information is available
for the corresponding chloride anion complex of the con-
generic furan-based system 4.
Electronic structure calculations were performed to assess
the relative strengths of the three types of hydrogen bonding
interactions in the absence of complicating effects arising
from steric constraints imposed by the ligand architecture and
environmental factors. As seen in Table 1, electronic binding
Table 1: Comparison of calculated electronic binding energies, DE
À1 [a]
À1
[
kcalmol ], with experimental gas-phase values for DH [kcalmol
]
À
for Cl complexes with simple hydrogen-bond donors.
Figure 4. Optimized B3LYP/DZVP2 geometries of the chloride anion
complex of the benzene-strapped calix[4]pyrrole 2 and the furan-
strapped calix[4]pyrrole 4. A corresponding view for the pyrrole-
strapped system 3, as well as Cartesian coordinates and absolute
energies for all three species, is included in the Supporting Informa-
tion.
[
b]
[c]
Donor
DE (DFT)
DE (MP2)
DH
[
3b]
pyrrole
benzene
methane
À23.09
À8.32
À3.06
À22.50
À8.42
À3.36
À18.8
[
3b,10a,17]
À8.6 to À10.5
[18]
À3.6
[
a] DE=E(complex)ÀE(chloride)ÀE(donor). Electronic structure calcu-
[19]
lations were performed with NWChem. [b] B3LYP/DZVP2. [c] MP2/
aug-cc-pVDZ.
coordinates, 2 and 3 were optimized under gas-phase con-
ditions. This yielded geometries that were little changed from
the solid state and had comparable average calixpyrrole NÀ
À
energies, DE, for complexes of Cl with the simple donors
À
pyrrole, benzene, and methane are fully consistent with
measured gas-phase DH values. The expected trend in
hydrogen-bond strengths is obtained with pyrrole > ben-
H···Cl distances (2.398 and 2.311 for 3 and 2, respec-
tively). Similarly, the average aliphatic CÀH···Cl distances are
comparable in both complexes (i.e., methylene 2.640 and
2.563 and methyl 2.933 and 3.019 for 3 and 2,
respectively). Optimization using starting coordinates derived
by replacing the benzene unit in 3 with a furan unit yielded a
[
11a]
zene > methane.
Moreover, these results confirm that the
À
CÀH···Cl contacts observed in the crystal structures of 2·Cl
À
and 3·Cl are attractive in nature and make a significant
À
contribution to the overall binding. In all cases geometries for
these 1:1 complexes (Figure 3) reveal closer contacts than
those observed in the strapped calixpyrrole macrocycles. This
effect is predominantly due to the fact that a single anion–
molecule interaction polarizes and redistributes the anion
charge differently than multiple anion–molecule interactions,
leading to stronger interactions and shorter distances.
putative geometry for 4·Cl . This complex shows the same
hydrogen-bonding motifs and distances as seen in 2 and 3,
with the exception that the furan moiety fails to provide an
additional hydrogen-bond donor. To obtain a measure of the
chloride affinity offered by each of the host configurations,
single-point energies were calculated after removal of the
À
chloride anion. Subtracting the energy of Cl and the host
binding configuration from that of the complex yields the
following DE values: À67.64 (3) < À63.46 (2) < À58.25 kcal
À1
mol (4). Consistent with the calculations on the simple
prototype donors, these binding energies predict that the
pyrrole-strapped system 3 should prove to be a better
receptor than the corresponding benzene species 2, and that
the latter system should prove to be a better receptor than the
[
20]
furan-strapped calix[4]pyrrole 4.
In light of the above prediction, attempts were made to
study the anion binding properties of the pyrrole-strapped
calix[4]pyrrole 3 using proton NMR spectroscopy. Unfortu-
nately, even in [D ]DMSO, which was expected to favor a
À
6
Figure 3. Optimized geometries for Cl complexes with pyrrole, ben-
rapid equilibrium, sets of peaks consistent with slow associ-
ation/dissociation kinetics (i.e., slowexchange) e wr e
observed. Nonetheless, these spectroscopic studies provided
insights into the mode of binding and the stoichiometry. For
zene, and methane. Distances are given below each structure at the
MP2/aug-cc-pVDZ and B3LYP/DZVP2 (in parentheses) levels of theory.
Cartesian coordinates and absolute energies for all optimizations are
included in the Supporting Information.
5
ꢀ 2008 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2008, 47, 5038 –5042