Two localized picture methods of analyzing the magnetic circular dichroism in x-ray absorption will be applied to experimental results: the branching ratio (BR) and sum rule (SR) approaches. A derivation of the BR formulas and detailed comparison to the SR expressions will be made, including error estimations. The BR approach will be seen to be a limiting case form of the SR spin-moment expression and provide a simple picture of the underlying physics in magnetic x-ray circular dichroism absorption in 3d magnetic materials.
J. G. Tobin et al., "Comparison of Branching Ratio and Sum-Rule Analyses of Magnetic Circular Dichroism in X-Ray-Absorption Spectroscopy," Physical Review B (Condensed Matter), vol. 52, no. 9, pp. 6530-6541, American Physical Society (APS), Sep 1995.
The definitive version is available at https://doi.org/10.1103/PhysRevB.52.6530
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