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Neutron scattering is a powerful tool to investigate the magnetic structures and spin dynamics of materials. In this tutorial we provide examples of the application of magnetic neutron diffraction using polycrystalline materials, single crystals, thin films, and artificially grown multilayers, to determine the spatial arrangement and directions of the atomic magnetic moments, the atomic magnetization density of magnetic ions, and the ordered moments as a function of thermodynamic variables such as temperature, pressure, and applied magnetic field. We also present examples of the technique of inelastic scattering to determine the spin dynamics of systems. Both polarized and unpolarized neutron techniques are discussed