A theoretical framework for dichroism and the resonance-enhanced scattering of x-rays by magnetic materials .2. Quadrupolar absorption events

Previous work with the resonant scattering length that is based on an atomic model and dipolar absorption events is extended to encompass quadrupolar absorption events. The scattering length is the common element in calculations of the attenuation coefficient, dichroism and the cross-sections for elastic and inelastic resonance-enhanced scattering of x-rays by magnetic materials. Both jj-coupling and Russell-Saunders coupling schemes for the atomic electrons are utilized; included are tables of relevant Racah unit-tenser operators for the valence shell f(n).