Sum-rules for electron energy-loss near-edge spectra

Abstract

We derive four sum-rule expressions for spectra measured in electron energy-loss near edge structure experiments. These sum-rules permit the determination spin and orbital magnetic moments, spin-orbit interaction and number of states, analogously to the sum rules of x-ray magnetic circular dichroism. The derivation of the sum-rules is based on dynamical electron diffraction theory and the properties of the mixed dynamic form-factor. The accuracy of the sum-rules is tested by a complete evaluation of the thickness dependent electron energy-loss spectra for iron, cobalt, and nickel crystals. We find that the sum-rules reproduce both spin and orbital moments with very good accuracy. Our results provide a foundation for the use of the energy loss magnetic chiral dichroism technique as a quantitative probe of element specific magnetic properties.

4 pages, 1 figure

References in corpus (1)

• First principles theory of chiral dichroism in electron microscopy applied to 3d ferromagnets

Cited by in corpus (16)

• Quantitative magnetic information from reciprocal space maps in transmission electron microscopy
• Achieving atomic resolution magnetic dichroism by controlling the phase symmetry of an electron probe
• Magnetic circular dichroism in EELS: Towards 10 nm resolution
• Scattering of electron vortex beams on a magnetic crystal: towards atomic resolution magnetic measurements
• Mapping spin-polarised transitions with atomic resolution
• The degree of 5f electron localization in URu2Si2: electron energy-loss spectroscopy and spin-orbit sum rule analysis
• A pure state decomposition approach of the mixed dynamic form factor for mapping atomic orbitals
• Magnetic properties of single nanomagnets: EMCD on FePt nanoparticles
• Orbital-angular-momentum-resolved electron magnetic chiral dichroism
• Single-pass STEM-EMCD on a zone axis using a patterned aperture: progress in experimental and data treatment methods
• Enabling atomic resolution in convergent beam EMCD measurements by the use of patterned apertures
• Convergent-Beam EMCD: Benefits, Pitfalls, and Applications
• Proposal for a three-dimensional magnetic measurement method with nanometer-scale depth resolution
• Sum rules in zone axis STEM-orbital angular momentum resolved electron magnetic chiral dichroism
• Quantitative analysis of magnetic spin and orbital moments from an oxidized iron (1 1 0) surface using electron magnetic circular dichroism
• Sub-10 nm Quantification of Spin and Orbital Magnetic Moment Across the Metamagnetic Phase Transition in FeRh Using EMCD