Patterns of ring currents in conjugated molecules: A few-electron model based on orbital contributions

In the CTOCD-DZ (continuous transformation of origin of current density-dia magnetic zero) formulation of coupled Hartree-Fock theory for magnetic resp onse of closed-shell systems, induced current density at each point is calc ulated with the gauge origin at that point. In addition to its economy and accuracy for total current maps, CTOCD-DZ is shown to yield a unique and ph ysically motivated definition of, and symmetry criteria for, orbital contri butions to current density. This leads to a few-electron interpretation of ring currents. Only the four HOMO electrons of an aromatic (4n+2)-electron monocycle contribute significantly to the ring current, and in general only a small subset of the high-lying pi electrons dominate the more complex pa tterns of current in polycyclic pi systems. Benzene, naphthalene, hexacene, pyracylene, coronene, and corannulene are treated as examples.