Abstract
A theory of neutron scattering by magnetic ions is developed and applied todiffraction by crystals in which ions in the unit cell are not equivalent onaccount of a lack of translational symmetry in their environments. Thedevelopment demonstrates a close connection between interpretations ofmagnetic neutron and x-ray Bragg diffraction, in terms of an atomic model.Cross-sections for neutron diffraction by powders and single crystals,including polarization-induced interference between nuclear and magneticamplitudes, are considered. By way of illustrating the theoretical development,cross-sections are predicted for Mott–Hubbard insulator, V2O3, on thebasis of findings from extensive studies using resonant x-ray diffraction.
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