NMR and spin relaxation in systems with magnetic nanoparticles: effects of size and molecular motion

To better understand the specifics of nuclear magnetic resonance and spin relaxation in systems with magnetic nanoparticles and test the limits of the outer sphere model for the diffusion-related relaxation, iron oxide nanoparticle suspensions are studied in dependence on the particle concentration and size (5-40 nm). The model is modified to account for aggregation of the particles into clusters with an enlarged effective radius. For liquid suspensions containing small particles or clusters, both the longitudinal and transverse spin relaxation rates, T(1)(-1) and T(2)(-1), correspond well to the theory, which predicts passing of T(1)(-1) through a maximum and monotonic increase in T(2)(-1) with increasing particle size. For the largest particle sizes, as well as in the case of strong aggregation, the relaxation rates are significantly lower than theoretical predictions. An abrupt change in both the relaxation rates is observed in a narrow temperature range around the melting point of paraffin wax doped with magnetic nanoparticles. The applicability of fast-motion and fast-diffusion approximations is discussed for large effective sizes and limiting molecular motion cases.