Potential energy scans of the bridging proton displacement between heavy atoms involved in the H bond of the binary (black) and tricoordinated (red) complexes of H3O+ with the following: (A) N2, (B) H2O, and (C) (CH3)2O. The binary compounds are held at the OX (X = N, O) distances of the tricoordinated complexes, while all other coordinates are allowed to relax. Calculations were carried out at the B3LYP/6-311++G(2d,2p) level of theory.