NuMagSANS: a GPU-accelerated open-source software package for the generic computation of nuclear and magnetic small-angle neutron scattering observables of complex systems

Adams, M.P.; Michels, A.

doi:10.1107/S160057672600258X

Figure 5
Magnetic SANS from a uniformly magnetized nanoparticle. (a) Three-dimensional visualization of a spherical nanoparticle with a spatially uniform magnetization pointing along the z direction, cf. equation (54). Colors indicate the m_z component. (b) Magnetization profile along the x axis through the particle center, showing the expected constant values $[m_{x} = 0]$ , $[m_{y} = 0]$ and $[m_{z} = 1]$ . (c) Azimuthally averaged SANS cross sections for the same particle (log–log scale): nuclear scattering $[I_{{\rm N}}(q)]$ , unpolarized magnetic scattering $[I_{{\rm M}}(q)]$ and spin-flip scattering $[I_{{\rm sf}}(q)]$ , cf. equation (30). The curves exhibit the characteristic form factor oscillations of a homogeneous sphere. (d) Two-dimensional spin-flip SANS cross section $[({\rm d}\Sigma_{{\rm sf}}/{\rm d}\Omega)(q_{y},q_{z})]$ , cf. equation (13). The intensity shows the expected $[\sin^{2}\theta\cos^{2}\theta]$ angular dependence for a uniform magnetization aligned perpendicular to the neutron-beam direction (here: along the z axis, with the beam along x), producing the characteristic fourfold symmetry of the spin-flip scattering pattern.

JOURNAL OF
APPLIED
CRYSTALLOGRAPHY

ISSN: 1600-5767

Volume 59| Part 3| June 2026| Pages 943-959

https://doi.org/10.1107/S160057672600258X

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