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The effective binding of anions like carboxylates and phosphates in aqueous solutions is of particular interest for various reasons. The natural archetypes of effective anion receptors are enzymes that contain often arginine as relevant amino acid in the binding pocket. For this reason, one class of artificial anion receptors that emerged more than two decades ago mimics the anion binding with the guanidinium group present in the amino acid side chain. In 1999, Schmuck and coworkers developed a new class of guanidinium-based oxo anion receptor that binds carboxylates even in aqueous media. The binding modes of the 2-(guanidiniocarbonyl)-1H-pyrroles are based on individually weak non-covalent interaction between artificial host and substrate like ion pairing and multiple hydrogen bonds. The zwitterionic derivative with substitution of a carboxylate group in position 5 of the pyrrole ring system shows a strong self-assembly to discrete dimers (dimer 1) with an estimated association constant of 170 M-1 even in water. In order to further improve the structure motif for an effective oxo anion binding it is therefore of great interest to quantify the different intermolecular interactions between two monomeric units of 1. Against this background several theoretical ab initio studies were conducted in order to elucidate the influences of intrinsic properties as well as solvent effects on the stability of self-assembled dimers. In chapter 4.1 the molecular interactions in dimer 1 were investigated by comparison to various “knock-out” analogues. In these analogues single hydrogen bonds were switched off by substitution of hydrogen donor atoms with either methylene groups or ether bridges. The calculations were done for vacuum and solvation, as represented by a conductor-like polarizable continuum. It could be shown that the application of a simple continuum solvent model fails to predict the absolute energies of the knock-out analogues in strongly polar solvents. However, the calculated trends can explain the relative stabilities. In chapter 4.2 the structural similarity of arginine with structure 1 was used in order to examine the dependence of self-assembly from the flexibility of the molecular structure. In chapter 4.2.1 new global minimum structures of the canonical and zwitterionic arginine in gas phase were found by means of exhaustive force field based conformational searches in conjunction with ab initio structure optimizations of the lowest energy conformers. Most of the newly identified minimum conformers of both the zwitterionic and canonical tautomer revealed geometrical arrangements with hitherto unreported stacked orientations of the terminal groups. Finally a novel global minimum structure was detected that is more than 8 kJ mol-1 lower in energy than the previously published conformers. The same strategy for finding minimum energy conformers of the arginine monomer has also been employed for the arginine dimer structures. While previous theoretical studies favoured directed hydrogen bonds the new global minimum structure MMFF1 is about 60 kJ mol-1 more stable and exhibits a stacked orientation of the guanidinium and carboxylate groups. The importance of rigidity on the dimer stability was proven by calculations of an artificially stiffened arginine dimer system. The high binding affinity dimer 1 results by about 50% from the rigidity of the monomers which prevents any intramolecular stabilization. In chapter 4.3 novel structure motifs with varying ring systems have been examined on a DFT level of theory in order to make proposals for an improved carboxylate binding motif. The direct dependency of the dimerization energy on an increasing dipole moment was demonstrated by various anellated ring structures. The influence of the delocalization in the monomer on the dimerization energy was examined by variation of the electronic structure of electronically decoupled biphenylenes. With the aid of various substituted 7-guanidinioindole-2-carboxylate derivatives we could show that the carbonyl function is mainly responsible for the advantageous preorganisation, whereas the effect on the acidity seems to be only of minor importance. In the last chapter cooperativity effects in supramolecular assemblies have been investigated. This was achieved by NMR shift calculations of adenosine-carboxylic acid complexes as model systems and comparison to experimental low-temperature NMR studies. We could demonstrate that only by applying vibrational averaged NMR shifts the experimental proton shifts obtained at very low temperatures in the hydrogen bond exchange regime could be reproduced.