Magnetic nanoflowers are densely packed aggregates of superferromagnetically coupled iron oxide nanocrystallites, which excel during magnetic hyperthermia experiments. Here, we investigate the nature of the moment coupling within a powder of such nanoflowers using spin-resolved small-angle neutron scattering. Within the powder the nanoparticles are agglomerated to clusters, and we can show that the moments of neighboring nanoflowers tend to align parallel to each other. Thus, the whole system resembles a hierarchical magnetic nanostructure consisting of three distinct levels, i.e. (i) the ferrimagnetic nanocrystallites as building blocks, (ii) the superferromagnetic nanoflowers, and (iii) the supraferromagnetic clusters of nanoflowers. We surmise that such a supraferromagnetic coupling explains the enhanced magnetic hyperthermia performance in case of interacting nanoflowers.The working principle of magnetic hyperthermia (MHT) is to administer a moderate quantity of magnetic nanoparticles within tumors and to heat them up by applying alternating magnetic fields with clinically acceptable parameters (i.e. comparatively high frequencies 100 kHz but low amplitudes 20 mT 1,2 ) to kill the tumors. Additionally, a magnetomechanical actuation of the embedded particles may disrupt the cytoskeleton and lead to cell death. 3,4 In physiological environment nanoparticles usually agglomerate, which can significantly modify their magnetic properties compared to the dilute non-interacting case 5,6 and which in turn may alter their heating behavior. 7-10 Depending on the characteristics of the individual particles and the field parameters, such a clustering can either improve or impair the MHT performance. [11][12][13][14][15] In fact it was observed for so-called nanoflowers, which are densely packed aggregates of iron oxide crystallites, that they excel during MHT experiments compared to the singlecrystals 16 and other systems such as magnetosomes. 17 This intriguing result motivated numerous studies regarding synthesis and characterization of such flower-shaped particles. [18][19][20][21][22][23] It can be shown that an exchange coupling between the cores leads to a superferromagnetic magnetization state 24 within the individual nanoflowers, 25 but with a significant internal spin disorder caused by the high defect density, e.g. due to the grain boundaries. 26 It is speculated that such a disordered state enables an increased excitation of the moments 27,28 , similar to other defect-rich particles. 29 When introduced into tumors, it is safe to assume that the nanoflowers will agglomerate to clusters, and thus interparticle interactions will be relevant. 30 In Bender et al. 31 we could show for homogeneous superparamagnetic nanoparticles a predominance for antiferromagnetic-like moment correlations within particle clusters via polarized small-angle neutron scattering (SANS). In this work we use the same approach to determine the nature of the moment coupling within a powder of iron oxide a) Electronic mail: philipp.bender@uni...