Magnetic small-angle neutron scattering from ferromagnetic fine particles: modification of the Guinier law

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Abstract
The small-angle (magnetic) scattering of neutrons from an ensemble of randomly oriented, identical, homogeneous, ferromagnetic fine particles is considered. It is found that the usual Guinier expression derived for the small-angle scattering of X-rays is invalid if there is a net correlation between particle moment and particle shape. In this case the coefficient R2 which occurs in the Guinier law is given, at low temperatures, by R2=3/5(RG2+Rzz2) where RG2 is the squared radius of gyration and Rzz2 is the moment of inertia of the particle about the axis of stable magnetisation (normalised to unit mass). This is in contrast to the classical Guinier result R2=RG2.

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