Chapter 5.2 Dynamical theory of electron diffraction

Reciprocal space

Second Online Edition (2010)

Part 5. Dynamical theory and its applications

  1. A. F. Moodie1,
  2. J. M. Cowley2,
  3. P. Goodman3

Published Online: 1 JUN 2010

DOI: 10.1107/97809553602060000780

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Moodie, A. F., Cowley, J. M. and Goodman, P. 2010. Dynamical theory of electron diffraction. International Tables for Crystallography. B:5:5.2:647–653.

Author Information

  1. 1

    Department of Applied Physics, Royal Melbourne Institute of Technology, 124 La Trobe Street, Melbourne, Victoria 3000, Australia

  2. 2

    Arizona State University, Box 871504, Department of Physics and Astronomy, Tempe, AZ 85287‐1504, USA

  3. 3

    School of Physics, University of Melbourne, Parkville, Australia

Publication History

  1. Published Online: 1 JUN 2010



In this chapter, the main formulations of the dynamical theory of electron diffraction are outlined. These include the defining equations, forward scattering, the evolution operator, the projection approximation, semi‐reciprocal space, the two‐beam approximation, the eigenvalue approach, translational invariance, dispersion surfaces, the multislice formulation, the Born series and other approximations.


  • dynamical theory;
  • electron diffraction;
  • projection approximation;
  • translational invariance;
  • semi‐reciprocal space;
  • two‐beam approximation;
  • dispersion surfaces;
  • Bloch‐wave formulations;
  • multislice calculations;
  • Born series;
  • Born approximation