X-ray Resonant Magnetic Scattering : Polarisation Dependence in the non-spherical case

TL;DR

This paper introduces a tensorial contraction method to analytically describe X-ray resonant magnetic scattering, extending previous models to non-spherical systems and mixed dipole-quadrupole interactions.

Contribution

A new tensorial contraction approach that provides analytical formulas for complex X-ray magnetic scattering scenarios, including non-spherical and mixed interactions.

Findings

Derived analytical formulas for non-spherical systems

Extended previous models to include dipole-quadrupole mixing

Validated results against existing literature

Abstract

We develop a simple tensorial contraction method to obtain analytical formula for X-ray resonant magnetic scattering. We apply the method considering first electric dipole-dipole and electric quadrupole-quadrupole scattering in the isolated atom approximation and compare the results with previous works. Then we apply the method to derive phenomenological original formulas which account also for non-spherical systems and for dipole-quadrupole mixing.