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 7
Magnetic SANS from a linear vortex magnetization state. (a) Three-dimensional visualization of the spherical nanoparticle hosting a linear vortex texture. Shown are the normalized magnetization vectors $[{\bf m}^{\prime} = {\bf m}/\|{\bf m}\|]$ , cf. equation (83), with colors indicating the normalized axial component $[m_{z}^{\prime} = m_{z}/\|{\bf m}\|]$ . (b) Magnetization components along the radial coordinate ρ: the expected vortex structure is observed, with $[m_{\varphi} = 5\rho/R]$ increasing linearly with ρ, $[m_{\rho} = 0]$ and a constant axial component $[m_{z} = 1]$ . (c) Azimuthally averaged SANS cross sections for the same texture (log–log scale): nuclear scattering $[I_{{\rm N}}(q)]$ , unpolarized magnetic scattering $[I_{{\rm M}}(q)]$ and spin-flip magnetic scattering $[I_{{\rm sf}}(q)]$ , cf. equation (30). The modified form factor oscillations reflect the nonuniform, tangential magnetization distribution of the vortex. (d) Two-dimensional spin-flip SANS cross section $[({\rm d}\Sigma_{{\rm sf}}/{\rm d}\Omega)(q_{y},q_{z})]$ . The characteristic two-lobe pattern arises from the curling of the vortex magnetization.

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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