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Related Experiment Video

Updated: Jul 16, 2026

Determining the Ice-binding Planes of Antifreeze Proteins by Fluorescence-based Ice Plane Affinity
08:46

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Published on: January 15, 2014

ELNES at magic angle conditions.

C Hébert1, P Schattschneider, H Franco

  • 1Institut für Festkörperphysik, Technische Universität Wien, A-1040 Wien, Austria. cecile.hebert@tuwien.ac.at

Ultramicroscopy
|August 29, 2006
PubMed
Summary

To cancel sample anisotropy in electron energy loss spectroscopy (EELS) experiments, specific magic angle conditions (MAC) are required. These MAC are strongly dependent on acceleration voltage and can be precisely calculated using a new analytical formula.

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Area of Science:

  • * Materials Science
  • * Physics
  • * Electron Microscopy

Background:

  • * Electron Energy Loss Spectroscopy (EELS) is a powerful technique for materials analysis.
  • * Sample anisotropy can complicate EELS data interpretation.
  • * Previous theoretical treatments did not fully account for relativistic effects.

Purpose of the Study:

  • * To derive an analytical formula for Magic Angle Conditions (MAC).
  • * To investigate the dependence of MAC on acceleration voltage.
  • * To provide practical guidance for EELS experiments.

Main Methods:

  • * Relativistic treatment of EELS.
  • * Derivation of analytical formulas for MAC.
  • * Analysis of energy dependence and beam parallelity effects.

Main Results:

  • * An exact analytical solution for MAC is presented.
  • * MAC are shown to be strongly dependent on acceleration voltage.
  • * Beam parallelity limits MAC at high voltages; Bragg spots interfere at low voltages.

Conclusions:

  • * The derived analytical formula enables precise calculation of MAC for practical EELS applications.
  • * Understanding voltage-dependent MAC is crucial for accurate anisotropy cancellation.
  • * Experimental limitations at different acceleration voltages are identified.