Dependence of the Ratio between Magnetic and Nuclear Small Angle Neutron Scattering on the Size of the Heterogeneities

The ratio between magnetic and nuclear small angle neutron scattering (SANS) can provide additional information about the composition and structure of the scattering inhomogenities. The method fails if the material system does not meet the two-phase approach. In this case, by using the indirect transformation method, the ratio can more generally be defined and related to the dependence of the scattering particle size. The method is derived and applied to model systems with two types of non-magnetic spheric inhomogenities in a ferromagnetic matrix.