π-proton-donor and π-acceptor systems were investigated by ab initio quantum-chemical calculations. C 2 H 2 ···H + ···C 2 H 2 and C 2 H 4 ···H + ···C 2 H 2 complexes were optimized using the MP2 level of theory; 6-311++G(d,p), 6-311++G(2d,2p), 6-311++G(3d,3p), and aug-cc-pVDZ basis sets were applied. Their geometrical and energetic characteristics were compared with characteristics of the other systems with conventional and unconventional H bonds. Such a comparison indicates that π···H + ···π complexes may be classified as hydrogen bonded. The binding energies for C 2 H 2 ···H + ···C 2 H 2 and C 2 H 4 ···H + ···C 2 H 2 calculated at the MP2/aug-cc-pVDZ level are equal to 15.0 and 10.4 kcal/mol, respectively (basis set superposition error included), which correspond to medium or strong H bonds. The Bader theory was applied to characterize the bond-critical points (BCPs) of H + ···π contacts. The electron densities at H + ···π BCPs also indicate that such systems possess hydrogen bonds of medium strength. To obtain better insight into the nature of these interactions, the variation−perturbation approach was applied to evaluate components of the interaction energy.
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Grabowski et al. (2004) studied this question.
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