“…The study focused on finding the optimum diameter of the nanoparticles, which is a critical parameter, and on the way in which the thickness of the biological membrane of the Ls and of the layer determined by the CDs at the surface of the biocompatible nanoparticles, when dispersed in water, influence the contribution of the Neel-Brown relaxation processes in obtaining the maximum SAR. Furthermore, for this study, we took into consideration a very small volume fraction of the nanoparticles, of only 1.7 vol%, which allows the maintenance of the superparamagnetic behavior of nanoparticles [8], without the appearance of the hysteresis loop caused by the interactions between nanoparticles [9], and the application of the Neel-Brown relaxation theory; in static conditions (where the measuring time is ~100 s [10]), in the lack of the interactions between nanoparticles, and as a result of the reduced magnetic anisotropy of the Fe 3 O 4 and -Fe 2 O 3 nanoparticles, the superparamagnetic (SPM) behavior is maintained for rather large diameters (<20 nm), because the Neel-Brown relaxation times (in the order of nano -microseconds) are much lower than the measuring time (tens -hundreds of seconds). Consequently, considering the Neel-Brown magnetic relaxation, we aimed to find the optimum conditions in which the highest maximum SAR is obtained for the nanoparticles of Fe 3 O 4 and -Fe 2 O 3 , when they are encapsulated in Ls or bioconjugated with CDs, without exceeding the biological limit [7].…”