“…At the first stage of the assembly process, a gradient magnetic field (typical values magnitude 200 Oe, gradient 60 Oe/cm) was applied in plane, and the dominant forces exerted on IONPs are capillary force induced by solvent evaporation and magnetic force caused by external field and dipolar interactions, while effects of the thermal fluctuations and the local interactions (such as van der Waals attraction and steric repulsion) are negligible [ 15 , 21 ]. Under the magnetic field, each IONP behaves as a magnetic dipole with magnetic moment m = μ 0 MV , where μ 0 is the permeability of free space and M and V are the domain magnetization and volume of the IONP, respectively [ 32 ]. Magnetic dipole-dipole interaction between two magnetically aligned IONPs is given by F dip = 3 m 2 (1 − 3 cos 2 α )/ d 4 , where α is the angle between their magnetic moment and the line connecting their centers and d is the inter-particle distance [ 25 , 34 ].…”