Hydrogen-hydrogen bonding in biphenyl revisited

The evidence for the stabilizing nature of the H-H bonding in planar biphenyl is succinctly reviewed. The stabilizing nature of the H-H bonding is revealed through a comparison of the atomic energy of every atom in planar biphenyl with the same atom in the twisted equilibrium structure. It is shown that the barrier to rotation via the planar transition state is the net resultant of a stabilisation of the four ortho-hydrogen atoms (by 8 kcal/mol each), a stabilisation of the two para-carbon atoms (by 3 kcal/mol each) and by the dominant destabilisation of the two carbon atoms joining the two rings-the two junction carbon atoms-(by 22 kcal/mol each). The energetic stabilisation of the four ortho-hydrogen atoms is further shown to be in large proportion due to the formation of the hydrogen-hydrogen interatomic surface. Furthermore, neither the "bond order" between the two junction carbon atoms nor the total electron delocalisation between the two rings exhibit a significant change in going from the planar to the twisted equilibrium geometry. These findings are in contrast with the classical view of a balance between "steric non-bonded repulsion" and better electron delocalisation as a function of the twist dihedral angle. Similar conclusions have been recently reached by Pacios and Gomez through a study of the electrostatic potential at the position of the hydrogen nuclei.