X-ray resonant magnetic scattering: polarization dependence in the non-spherical case

A simple tensorial contraction method has been developed to obtain analytical formulae for X-ray resonant magnetic scattering. First, the method has been applied considering electric dipole-dipole and electric quadrupole-quadrupole scattering in the isolated-atom approximation. The results have been compared with previous work. The same method has then been extended to non-spherical systems by deriving new phenomenological formulae.