Topology of magnetic-field induced electron current density in the cubane molecule

A spatial model of the electronic current density induced in the cubane molecule by applying anexternal magnetic-field has been constructed employing quantum mechanical methods at theHartree–Fock level of accuracy. The topological features of the current density vector field aredescribed via a stagnation graph that shows the isolated points and the lines at which the currentvanishes. Shielding density maps based on the differential Biot–Savart law, along with a collectionof current density maps, explain magnetic shielding at hydrogen and carbon nuclei, and virtualshielding at ring and cage centers.