Polarization Dependence of Anomalous X-ray Scattering in Orbital Ordered Manganites

TL;DR

This paper theoretically investigates how the polarization of X-ray scattering depends on orbital ordering in manganites, providing formulas and numerical results to distinguish different types of orbital arrangements.

Contribution

It derives general formulas for polarization-dependent X-ray scattering intensity and calculates these for various orbital orderings in manganites.

Findings

Polarization dependence varies with orbital ordering type

Derived formulas enable identification of orbital arrangements

Numerical simulations match expected anisotropic scattering patterns

Abstract

In order to determine types of the orbital ordering in manganites, we study theoretically the polarization dependence of the anomalous X-ray scattering which is caused by the anisotropy of the scattering factor. The general formulae of the scattering intensity in the experimental optical system is derived and the atomic scattering factor is calculated in the microscopic electronic model. By using the results, the X-ray scattering intensity in several types of the orbital ordering is numerically calculated as a function of azimuthal and analyzer angles.