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Figure 9
Spin-flip SANS observables at the remanent state for three different ensembles of 800 iron nanoparticles with equal diameters of D = 40 nm (micromagnetic spin textures were simulated with MuMax3). Left column (a, b, c): dilute ensemble (single-particle case). (a) Representative particle with its internal spin texture color coded by mx. (b) Corresponding two-dimensional spin-flip SANS cross section Mathematical equation showing a smooth intensity distribution that is characteristic of weak interparticle correlations. (c) Azimuthally averaged spin-flip intensity Mathematical equation displaying the expected sphere-like form factor oscillations (log–log scale). Middle column (d, e, f): moderately densely packed system. (d) Particles are positioned inside a supersphere with a volume fraction of Mathematical equation. The two-dimensional (e) and the one-dimensional (f) spin-flip SANS cross sections exhibit an increased statistical noise due to the disordered arrangement of the particles. Right column (g, h, i): simple cubic structure. (g) Particles are placed on a simple cubic lattice inside a supersphere (volume fraction: Mathematical equation; center-to-center distance between spheres: 45 nm). (h) The two-dimensional spin-flip SANS cross section now shows emerging Bragg-peak-like features reflecting the underlying periodic packing. (i) Mathematical equation displays modulations and peak structures associated with these lattice correlations.

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CRYSTALLOGRAPHY
ISSN: 1600-5767
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