Magnetic neutron scattering from spherical nanoparticles with Neel surface anisotropy: analytical treatment.

ABSTRACT: The magnetization profile and the related magnetic small-angle neutron scattering cross section of a single spherical nanoparticle with Néel surface anisotropy are analytically investigated. A Hamiltonian is employed that comprises the isotropic exchange interaction, an external magnetic field, a uniaxial magnetocrystalline anisotropy in the core of the particle and the Néel anisotropy at the surface. Using a perturbation approach, the determination of the magnetization profile can be reduced to a Helmholtz equation with Neumann boundary condition, whose solution is represented by an infinite series in terms of spherical harmonics and spherical Bessel functions. From the resulting infinite series expansion, the Fourier transform, which is algebraically related to the magnetic small-angle n

SUBMITTER: Adams MP 

PROVIDER: S-EPMC9721331 | biostudies-literature | 2022 Dec

REPOSITORIES: biostudies-literature