Experimental application of sum rules for electron energy loss magnetic chiral dichroism

TL;DR

This paper derives sum rules for electron energy loss magnetic circular dichroism in TEM, linking magnetic moments to spectra and diffraction data, and presents initial experimental results for iron.

Contribution

It introduces a new derivation of sum rules for EEL spectra in TEM, explicitly relating magnetic moments to measurable spectra and diffraction coefficients.

Findings

Derived sum rules for orbital and spin magnetic moments.

Expressed magnetic moments in terms of spectra and diffraction coefficients.

Presented initial experimental results for Fe L_{2,3} edge.

Abstract

We present a derivation of the orbital and spin sum rules for magnetic circular dichroic spectra measured by electron energy loss spectroscopy in a transmission electron microscope. These sum rules are obtained from the differential cross section calculated for symmetric positions in the diffraction pattern. Orbital and spin magnetic moments are expressed explicitly in terms of experimental spectra and dynamical diffraction coefficients. We estimate the ratio of spin to orbital magnetic moments and discuss first experimental results for the Fe L_{2,3} edge.