where êr and êθ are the cylindrical unit vectors. In Figure , as an example, the current density has a major linear component which is best visualized by coloring proportionally to the z-component of the current density, j z . The resulting magnetic field rotates around the molecular wire and is best visualized by coloring by proportionally to the azimuthal component, b θ . Throughout this manuscript, we primarily study ring currents, and the resulting directional magnetic fields, we will mainly color the current density based on the θ-component and the magnetic field based on a cartesian component.