in complexes of 1 with 6, 2, and 4, which contain three, six,
and nine freely rotating bonds, respectively. Thus, the Ka
values in Table 1, spanning several orders of magnitude,
convincingly reflect the different degree of preorganization
of the complexation partners. The smallest value for tris-
imidazoline 3 probably originates from the fact that the
trication prefers an almost planar conformation but has to
be strongly twisted for complexation.18 Trisamidine 7, on
the other hand, is already ideally preoriented prior to
complexation as a result of the congestion of three bulky
N,N′-diethyl-substituted amidinium groups at the 1,3,5-
positions of the benzene ring.12 This preorganization of 7
(similar to 6) explains the remarkably high association
constants with 1 in organic solvents, where hydrogen bonds
considerably contribute to the overall binding strength. It
would be interesting to check if the transition from three
methyl groups in 5 to the corresponding triethyl-substituted
triamine leads to increased binding due to preorganization
as Anslyn demonstrated with his citrate receptor.19
In contrast to most molecular capsules known to date,
several of our trisammonium trisphosphonates form strong
complexes even in water, with Ka values varying between
103 and 104 M-1 (Table 1). In water, however, the dominating
electrostatic interaction of the hard ammonium cation is
superior to that of the delocalized amidinium cation. There-
fore, here the distribution of association constants becomes
much more uniform.
Table 1. Association Constants Ka [M-1] for 1:1 Complexes
between Symmetrical Trications and 1 Determined by NMR
Titrations in Methanol and Water at 20 °C
tricationa
Ka [M-1] in CD3OD Ka [M-1] in D2Oc
trisimidazoline 310
tren 4
mesitylenetriamine 5
mesitylenetriamine 2
cyclohexanetriamine 611
trisamidine 712a
3.0 × 103 ( 16%b
4.8 × 104 ( 48%
8.0 × 104 ( 34%
1.4 × 105 ( 11%
9.9 × 105 ( 32%
1.1 × 106 ( 8%
2.6 × 103 ( 13%
4.0 × 103 ( 6%
1.1 × 103 ( 15%
1.0 × 103 ( 9%
a Ammonium and amidinium chlorides except for 6 which was used as
a bromide. b Errors are standard deviations. c pD = 7.0.
(layer thickness: 5 Å) employing a more sophisticated energy
minimization approach (quasi Newton-Raphson algorithm15a)
also indicated a high stability for the 1:1 complex even in a
highly competitive solvent environment. The calculations
starting from different hydrogen bond patterns converged
toward the proposed hydrogen bond network that is char-
acterized by a staggered orientation of the substituents and
regularly bridging hydrogen bonds.15b
It is well known that a self-organization process is
governed by a delicate balance between enthalpic gain and
entropic cost. Both starting materials are flexible molecules
with various rotatable bonds that need to be conformationally
fixed in the final complex. In this respect, the required
entropy loss for the self-organization process lies between
Rebek’s tennisball (composed of rigid halfs) and White-
sides’s rosette (composed of highly flexible components).16
Because in our example the three binding sites are all
covalently linked to an aromatic core, only torsional degrees
of freedom contribute to the free binding energy (Figure 4).
Preliminary experiments in the direction of defined higher
aggregates were already very promising. Thus, a Job plot
proved unambiguously that, even in water, a 2:1 complex
was formed between two half-spheres of 1 and a belt of
hexaza-18-crown-6 8 (Figure 5). This shows that our
Figure 4. Schematic presentation of the self-organization process
involved in the formation of a 1:1 complex from a mixture of 1
and a trisammonium or trisamidinium ion (2-7).
Figure 5. Schematic presentation of the self-organization process
involved in the formation of a neutral 2:1 complex from a mixture
of 1 and hexaza-18-crown-6 (8).
The varying number of flexible bonds within the trisammo-
nium ions should therefore reflect their total difference in
torsional entropy.17 This correlation has indeed been found
approach for the design of molecular capsules, by using a
combination of preorientation and an array of alternating
charges, can be effectively transferred to systems with more
(12) (a) Kraft, A. J. Chem. Soc., Perkin Trans. 1 1999, 705-714. Two
crystal structures of bulky N,N′-disubstituted aromatic amidines confirm
the strong twist of the amidine moieties: (b) Tinant, B.; Dupont-Fenfau,
J.; Declercq, J.-P.; Podlaha, J.; Exner, O. Collect. Czech Chem. Commun.
1989, 54, 3245-3251. (c) Boere´, R. T.; Klassen, V.; Wolmersha¨user, G. J.
Chem. Soc., Dalton Trans. 1998, 4147-4154.
(15) (a) Mackay, D. H.; Cross, A. J.; Hagler, A. T. In Prediction of
Protein Structure and the Principles of Protein Conformation; Fasman, G.
D., Ed.; Plenum Press: New York, 1989; pp 317-358. (b) INSIGHT II,
version 98.0, 1999, MSI, San Diego, CA.
(16) (a) Wyler, R.; de Mendoza, J.; Rebek, J. Angew. Chem., Int. Ed.
Engl. 1993, 32, 1699-1700. (b) Branda, N.; Wyler, R.; Rebek, J. Science
1994, 263, 1267-1268. (c) Seto, C. T.; Whitesides, G. M. J. Am. Chem.
Soc. 1993, 115, 905-916. (d) Seto, C. T.; Whitesides, G. M. J. Am. Chem.
Soc. 1993, 115, 1330-1340.
(13) Ka values typically range from 101 to 102 M-1 in methanol: Grawe,
T.; Schrader, T. Unpublished results.
(14) Mammen, M.; Choi, S.-K.; Whitesides, G. M. Angew. Chem., Int.
Ed. 1998, 37, 2754-2794.
Org. Lett., Vol. 2, No. 1, 2000
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