Interpretation of anomeric effect in the N-C-N unit with the quantum theory of atoms in molecules

The conformational preferences of six model compounds for the N-C-N anomeric unit (methanediamine, 2,2-propanediamine, N,N,N',N'-tetramethyl-methanediamine, 1,3-dizacyclohexane, 1,3,5-triazacyclohexane, and 2-aminopiperidine) were analyzed within the framework of the Quantum Theory of Atoms in Molecules. The relative stabilization of the conformers is related to two factors: (i) the reduction of the electron population experienced by the hydrogens of the central methylene when they display more gauche arrangements to lone pairs (lp) and (ii) the reduction of the electron population of aminic hydrogens when the corresponding N-H bond is in a parallel arrangement to the lone pair of another N. The former depletion takes place in lp-N-C-N antiperiplanar dispositions, whereas the latter is shown in lp-N-C-N gauche arrangements. Therefore, we can say that the electron density removed from the central hydrogens is moved to an aminic one on going from an antiperiplanar to a gauche disposition of a lp-N-C-N unit. The relative energies of aminic and central hydrogens in the conformer series is the main factor determining the conformational preference. In contrast to what happens in O-C-O containing compounds (where both N(H) depletions take place in the O-C-O-H gauche dispositions), the stabilization gained by N and C atoms plays a secondary role. This is in line with a general trend exhibited by hydrogens as the most available (less energy cost) atomic basins for receiving or providing electron density along a chemical change. It also explains why the anomeric conformational stabilization due to the N-C-N units is significantly less than that of the O-C-O- units. Moreover, the variations of electron population due to conformational changes are not in keeping with the stereoelectronic model of the anomeric effect, as was previously found for diverse molecules containing the O-C-O anomeric unit.