Effect of Orbital Interactions between Vicinal Bonds and between Hydroxy Groups on the Conformational Stabilities of 1,2-Ethanediol and 2,3-Butanediols.

The geometries of the two hydroxy groups in 1,2-ethanediol or 2,3-butanediols are more stable in a gauche orientation than those in an anti orientation. This has been generally explained in terms of the gauche effect, which is stabilization due to antiperiplanar electron delocalization between an antibonding orbital of the C-O bond (σCO*) and a bonding orbital of the C-H or C-C bond (σCH or σCC). However, a C-C single bond rotation simultaneously determines the geometries of the six vicinal bonds. Therefore, it is important to understand the effects on conformational stability of other interactions of the bond orbitals adjacent to the rotating C1-C2 bond. Bond model analysis revealed that antiperiplanar bond orbital interactions as a whole contribute to the higher stabilities of hydroxy/hydroxy gauche conformers, where the C-O/C-H or C-O/C-C combination including the σCO*/σCH or σCO*/σCC delocalization is not the dominant interaction stabilizing hydroxy/hydroxy gauche conformers. Rather, our results show that a large destabilization due to the antiperiplanar C-O/C-O combination in hydroxy/hydroxy anti conformers relatively increases the stabilities of hydroxy/hydroxy gauche conformers. This destabilization results mainly from the repulsion between the antiperiplanar bonding orbitals (σCO/σCO), which have a larger overlap compared to the synclinal σCO/σCO combination. The sum of the interbond energies between the vicinal bond orbitals of these 1,2-alkanediols is more advantageous for stability in gauche conformers. In addition, interactions between the gauche-oriented hydroxy groups provide large stabilization energies and the corresponding interactions in anti conformers are negligible. The relative conformational stabilities of 1,2-ethanediol and erythro-2,3-butanediol can be explained by the interactions between the antiperiplanar bond orbitals, between the vicinal bond orbitals, or between the hydroxy groups in addition to the combination of interactions between the vicinal bond orbitals and between the hydroxy groups. In contrast, in threo-2,3-butanediol, differences in the relative stabilities of the three conformers can be understood by the combination of the interactions between the vicinal bond orbitals and between the hydroxy groups.