“…4 In Néel relaxation, the magnetisation of the single nanoparticle can rapidly flip direction with a characteristic time defined as the Néel relaxation time, τ N , that depends, among other parameters, on the particle size and magnetic anisotropy, and on the temperature of the medium, as expressed by the equation:
where τ 0 is a characteristic of the material, named the attempt time or attempt period (usually between 10 −10 and 10 −9 s), K is the anisotropy constant, V is the volume of the nanoparticle, k B is the Boltzmann constant, and T is the temperature. Usually, at temperatures higher than the blocking temperature T B , that is the temperature below which the magnetic moments do not have the required energy to flip directions (for instance, T B is reported to be <100 K, for oleic-acid stabilised SPIONs of ≈10 nm, when no external magnetic field is applied 17 ), and given the measuring times of conventional techniques, the net magnetisation of SPIONs is, on average, equal to zero. As is evident from eqn (1), the smaller the nanoparticles, the lower the energy necessary to flip the magnetic moment.…”