Abstract
This chapter covers the differential cross section for coherent, elastic neutron scatter in a Bravais-lattice ferromagnetic crystal. Also discussed is the production and measurement of polarized neutrons via scatter and grazing incidence reflection of neutron spin states in ferromagnetic materials. First, the coherent elastic differential cross section for neutrons in ferromagnetic and antiferromagnetic crystals, without regard to neutron spin or nuclear spin, which is based on the Heitler–London model, LS coupling, and dipole approximation, is derived. Next, the coherent, elastic differential cross section for magnetic and nuclear scatter of neutron spin states in ferromagnetic crystals is derived. A general expression of the coherent differential cross section for nuclear and magnetic elastic scatter of neutron spin states in ferromagnetic crystals is then derived. Finally, the coherent, elastic differential cross section for the scatter of neutron spin states from magnetic materials with helical-oriented, localized, unpaired electron spins is discussed.
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