Impact of multiple cation-pi interactions upon calix[4]arene substrate binding and specificity.

The cation-pi interaction influence on the conformation and binding of calix[4]arenes to alkali-metal cations has been studied using a dehydroxylated model. The model allows for the separation of cooperative cation-pi and electrostatic forces commonly found in the binding motifs found in calixarene complexes. Starting from the four well-known calix[4]arene conformations, six conformers for this dehydroxylated model (cone, partial cone, flattened cone, chair, 1,2-alternate, and 1,3-alternate) have been characterized by geometry optimization and frequency analysis using the Becke three-parameter exchange functional with the nonlocal correlation functional of Lee, Yang, and Parr and the 6-31G(d) basis set. Without the stabilization provided by the hydroxyl hydrogen bonds in calix[4]arene, neither the cone nor the 1,2-alternate conformation is computed to be a ground-state structure. The partial cone, flattened cone, chair, and 1,3-alternate conformers have been identified as ground-state structures in a vacuum, with the partial cone and the 1,3-alternate as the lowest energy minima in the aromatic model. The C(4)(v)() cone conformation is found to be a transition structure separating the flattened cone (C(2)(v)()) conformers. The energetic and structural preferences of the calix[4]arene model change dramatically when it is bound to Li(+), Na(+), and K(+). The number of pi-faces, the positioning of these pi-faces with respect to the cations, and the nature of the cation were studied as factors in the binding strength. A detailed study of the distances and angles between the aromatic ring centroids and the cations reveals the energetic advantages of multiple weak cation-pi interactions. The geometries are often far from the optimal cation-pi interaction in which the cation approaches in a perpendicular path the aromatic ring center, where the quadrupole moment is strongest. The results reveal that multiple weaker nonoptimal cation-pi interactions contribute significantly to the overall binding strength. This theoretical analysis underscores the importance of neighboring aromatic faces and provides new insight into the significance of cation-pi binding, not only for calix[4]arenes, but also for other supramolecular and biological systems.