Angewandte
Communications
Chemie
As a result, we focused our efforts on the direct self-assembly
of unsymmetric orthoester cryptates. To achieve this, we
needed to identify reaction conditions under which methanol
could be slowly removed from equilibrium, while no source of
sodium ions [e.g. 4 ꢀ molecular sieves (M.S.)] is present,
because the latter would lead to the formation of the
symmetric cryptate [Na+ꢀo-Me2-1.1.1].[11] As shown in Sche-
me 2b, two such methods, based on either reduced pressure or
5 ꢀ M.S. (containing Ca2+ ions) could be identified, thus
leading to the preparation of the desired unsymmetric
cryptates in yields of 27–55%.
In light of possible applications it is worth noting that all
cryptands can conveniently be prepared in quantitative yield
from the corresponding cryptates by treatment with ion-
exchange resin (see the Supporting Information). We were
also able to prepare the symmetric cryptate [Cs+ꢀo-Me2-
2.2.2], which interestingly, was not observed in previous
experiments, where this compound would have been a possi-
ble product. The preference of Cs+ for the cryptand o-Me2-
2.2.1 was confirmed by a shrinkage experiment, in which
[Cs+ꢀo-Me2-2.2.2], under reaction conditions for orthoester
exchange was treated with DEG, and [Cs+ꢀo-Me2-2.2.1] was
observed as predominant product (see the Supporting Infor-
mation).[16]
Adaptive behavior at a higher level of complexity was
observed in the multi-metal/multi-cryptand exchange experi-
ment illustrated in Scheme 2c. The symmetric cryptands o-
Me2-1.1.1 and o-Me2-2.2.2 were combined with mismatched[17]
metal ions K+ and Cs+, and orthoester exchange was initiated
by addition of acid. The NMR spectrum of the crude mixtures
after equilibration and the ESI+ mass spectrum after work-up
(see the Supporting Information) clearly demonstrate that
a 1:1 mixture of the unsymmetric cryptates [K+ꢀo-Me2-2.1.1]
and [Cs+ꢀo-Me2-2.2.1] was formed. Even though we cannot
deduce from our data which one of the two host–guest pairs
provides the main thermodynamic driving force, this cryptate
metathesis is nevertheless a remarkable case of adaptive
behavior.
To shed further light on the underlying noncovalent
interactions, we grew single crystals from all cryptates which
represented preferred species in self-assembly experiments.
The resulting X-ray structures are depicted in Figure 1a,
along with the structure of previously reported [Na+ꢀo-Me2-
1.1.1]. Relatively symmetric coordination geometries are
adopted in the cryptates [K+ꢀo-Me2-2.1.1], [Rb+ꢀo-Me2-
2.2.1], and [Cs+ꢀo-Me2-2.2.1], while the unique combination
of orthoester bridgeheads with glycol side chains results in the
formation of up to eleven metal–oxygen bonds. An apparent
limit for binding is reached with the cryptand o-Me2-2.2.2,
Figure 1. a) Solid-state structures of five orthoester cryptates.[21] The
structure of [Na+ꢀo-Me2-1.1.1] was reported previously[11] and is
shown for comparison. Single crystals of [K+ꢀo-Me2-2.1.1] were
obtained by the vapor diffusion method (cyclopentane/ chloroform).
Single crystals of [Rb+ꢀo-Me2-2.2.1], [Cs+ꢀo-Me2-2.2.1], and
[Cs+ꢀo-Me2-2.2.2] were obtained by the layering method (n-heptane/
chloroform). Hydrogen atoms, anions, solvent, and disorder (where
applicable) are omitted for clarity. Metal ions are displayed at 100% of
effective ionic radius.[15] Selected bond length ranges: Na O: 2.5–
ꢁ
ꢁ
ꢁ
ꢁ
2.6 ꢂ; K O: 2.8–3.0 ꢂ; Rb O: 3.0–3.3 ꢂ; Cs O: 3.2–3.3 ꢂ in
+
ꢁ
[Cs ꢀo-Me2-2.2.1]; Cs O: 3.1–3.7 ꢂ (binding) and 4.4 ꢂ (nonbinding)
in [Cs+ꢀo-Me2-2.2.2].
Because some of our experiments represent a stoichio-
metrically unbiased[18] competition between two dynamic
cryptands for a metal ion, we wanted to test, whether the
observed trends could be rationalized by theory. In a first set
of DFT-based (B3LYP/LANL2DZp) model equations (see
the Supporting Information for details), we determined
complexation energies for the combination of the cryptands
o-Me2-1.1.0, o-Me2-1.1.1, o-Me2-2.1.1, o-Me2-2.2.1, and o-
Me2-2.2.2 with five alkali metal ions.[19] We also carried out
NMR titrations for all 20 host-guest combinations, as well as
one representative isothermal titration calorimetry (ITC)
study, which revealed that sodium binding to o-Me2-1.1.1 is
driven both enthalpically and entropically (see the Supporting
Information).
With the exception of two outliers ([Li+ꢀo-Me2-1.1.1] and
[Rb+·o-Me2-1.1.1]), we observed good agreement between
the trends in experiment (Figure 2a) and theory (Figure 2b).
More importantly, the relative binding energies do indeed
allow rationalizing our findings on adaptive behavior. For
instance, K+ represents a clear minimum for o-Me2-2.1.1
(Figure 2a and 2b), thus explaining the predominant forma-
tion of [K+ꢀo-Me2-2.1.1] in the experiment shown in
Scheme 2a. It is also evident from the data that binding of
Rb+ and Cs+ only becomes favorable for the larger cryptands
o-Me2-2.2.1 and o-Me2-2.2.2. The flat line observed in the
computational binding energies for o-Me2-1.1.0 (Figure 2b)
suggests that no alkali-metal ion fits into this host, and would
explain why not even the small Li+ template led to its
formation.
ꢁ
which only forms eleven out of twelve possible Cs O bonds.
This observation might explain why [Cs+ꢀo-Me2-2.2.1] is the
preferred species in experiments where o-Me2-2.2.1 and o-
Me2-2.2.2 compete for Cs+. An unusual type of anisotropic
long-range order was observed in the crystal structure of
+
ꢁ
[Cs ꢀo-Me2-2.2.1]: the presence of Cs F bonds between
counteranion and cryptates results in the formation of
a helical coordination polymer (see the Supporting Informa-
tion for the packing diagram).
A second set of model equations was designed to more
adequately mimic the competition of two cryptands for cation
binding. For each metal ion, these calculations revealed
Angew. Chem. Int. Ed. 2016, 55, 1 – 7
ꢀ 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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