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We show that, in the fast collision approximation, the scattering operator for resonant x-ray scattering can be expressed in terms of simple spin-orbital moment operators M (fc) (l,s) of the valence shell involved in the resonance. This theory is applicable to the analysis of a broad range of resonant x-ray elastic and inelastic scattering and absorption experiments involving rare earth, actinide, and transition elements.

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The dynamical theory of Mossbauer optics is developed utilizing the multiple-scattering equations derived in the preceding paper (I). The general optical equations obtained are analogous to the equations of the dynamical theory of x-ray diffraction, but are generalized to account for the very strong polarization mixing which occurs in Mossbauer optics. This polarization mixing leads to a number of interesting features, such as Faraday effects, selective absorption, and selective critical reflection. The cases of Bragg reflection, Laue transmission, critical reflection, and off-Bragg transmission are treated in detail. 12