Heisenberg exchange has been found in all previous work to be the dominant intermolecular magnetic interaction between paramagnetic species in solutions of low viscosity, and this conclusion is confirmed here in analysis of interactions between Cu2+ and a nitroxide free radical. Exchange between a fast relaxing metal ion and a slow relaxing radical contributes equally to the transverse and longitudinal relaxation probabilities, T−12 and T−11, of the radical. A new result that could be of significance in investigations of molecular dynamics in liquids is that dipole–dipole interactions between ions of the lanthanide series and free radicals are dominant in all conditions over Heisenberg exchange. In the liquid phase, Gd3+ is particularly effective in inducing free radical longitudinal relaxation.