Communications
material 1 (Figure 2a). The spectrum of the flexible 76-
Further insight into the structure of trefoil knot 2 was
provided by drift tube ion mobility mass spectrometry (DT
IM-MS). In these experiments, the velocity with which an ion
travels through a cell containing a buffer gas (commonly
helium), under the influence of a weak electric field, depends
on the collision cross section (CCS) of the ion with the buffer
membered-ring macrocycle (3) is very similar to that of the
open-chain isomer (1), the only significant differences being
the shift of the Hs’ (-NCH2-) and Hs protons (the latter from
d = 2.0 ppm in 1 to d = 7.25 ppm in 3) following conversion of
the azide and terminal alkyne to the triazole ring.
The isomer isolated in greater yield (24%) was confirmed
as the trefoil knot 2 through a series of NMR, mass
spectrometry, and DT IM-MS experiments. The 1H NMR
spectrum of 2 (Figure 2c) is very different to those of its open-
chain 1 and unknot-macrocycle 3 isomers (Figure 2a and b).
Many of the resonances in the aromatic region of 2 are
separated into two sets of inequivalent signals. The increase in
the overall number of resonances observed is a result of the
loss of the pseudosymmetry of 1 (and 3) upon formation of
the conformationally contorted trefoil knot structure—the
76-atom entwined loop is the smallest knot reported to
date[11c]—and molecular modeling[16] and DT IM-MS results
(see below) indicate it to be tightly wound. Two of the
propargylic methylene resonances (two of Hl/l’/m/m’) are shifted
significantly downfield in 2 compared to the unknot-macro-
cycle 3 (from d = 4.59 ppm to d = 5.33 and 5.07 ppm). It
appears that these protons spend a significant amount of time
edge-on to an aromatic ring in low-energy conformations of
the knot, and are deshielded through ring current effects.
Notably, the propargylic methylene resonance at d =
5.07 ppm appears as an AB system (Figure 3d,e), thus
indicating that the protons are diastereotopic.[19] This behav-
ior is a consequence of the inherent chirality of a trefoil
knot.[11d,20]
gas (averaged over all possible orientations of the ion).[21,22]
A
larger ion with few conformational restrictions takes longer to
traverse the drift cell, undergoing more collisions with the
buffer gas, than a smaller, more compact, structure. This
behavior has previously been demonstrated for naturally
occurring antimicrobial peptides[21] and for synthetic cyclic
and linear peptides.[22] With low charge numbers, flexible
molecules may wrap tightly around the charged regions in
order to solvate them with heteroatoms and aromatic rings.
However, as the number of charges on a molecular ion
increases, the size of the adopted conformations increases as
electrostatic repulsions try to force the largest distance
between the charges that the molecule will allow. In general,
the observed CCS increases with the amount of charge that a
flexible structure carries. In addition to the magnitude of the
CCS, which gives information about the size of the molecular
ion, the broadness of the distribution indicates the flexibility
(the number of differently sized and shaped conformations
adopted) of the molecular structure.
Following nanoelectrospray ionization, DT IM-MS
showed significant differences in the rotationally averaged
CCS areas of ions of the three isomers 1–3 (Figure 3).[23] The
largest average CCS areas of the open-chain isomer 1
([1+3H]3+ ion) and unknot-macrocycle 3 ([3+3H]3+ ion)
were (395 ꢀ 3.5) ꢁ2 and (368 ꢀ 5.3) ꢁ2, respectively. The
largest average CCS area observed for the trefoil knot 2
([2+2H]2+ ion) was (292 ꢀ 1) ꢁ2. Therefore for the highest
charge state observed for each species, open-chain isomer 1
has a larger molecular cross-section than unknot-macrocycle
3 which, in turn, has a much larger cross-sectional area than
trefoil knot 2. Furthermore, the open-chain isomer 1 has the
broadest CCS distribution, followed by the unknot-macro-
cycle 3, with the trefoil knot 2 having the narrowest range.
These results indicate that the trefoil knot has a much more
compact and inflexible structure than the unknot-macrocycle,
which is more compact and less flexible than the acyclic
strand. Calculations of the expected CCS values from the
Spartan-minimized[16] structures of the most extended form of
each molecular species support the observed experimental
trend (see the Supporting Information).
In conclusion, we have demonstrated an active-template
approach to the synthesis of molecular knots based upon the
cooperative manipulation of a ligand with reactive end groups
by two metal ions. One of the metal centers creates a loop in
the ligand whilst the other catalyzes a covalent-bond-forming
reaction that links the end groups through the cavity. The
resulting trefoil knot and its unknot and acyclic isomers were
characterized by NMR spectroscopy, mass spectrometry, and
DT IM-MS experiments. The latter technique is able to
discriminate between the isomers through both the size and
relative flexibility of their multiply charged molecular ions.
Active-template strategies for entangling molecular chains,
and novel methods for the structural characterization of the
Figure 3. DT IM-MS spectra of building block 1 (green, [M+3H]3+),
and products 2 (blue, [M+2H]2+) and 3 (orange, [M+3H]3+) isolated
from the reaction of 1 shown in Scheme 1. The CCS area distributions
were calculated from the measured arrival times for the highest
observed charge state of each isomer. Data shows the arrival times at
a drift voltage of 50 V. Intensities (I) are normalized to the peak areas.
Ligand strand 1, which is expected to have a large degree of flexibility,
exhibits the broadest distribution and largest CCS. Unknot-macrocycle
3 has a smaller CCS and narrower distribution and trefoil knot 2
displays the smallest CCS and the narrowest distribution, reflecting its
compact structure and persistent size and shape.
ꢀ 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2011, 50, 12280 –12284