The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities

AC Hurley; AF Moodie; AW Johnson; PC Abbott

doi:10.1107/s0108767398012598

The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities

Acta Crystallogr A. 1999 Mar 1;55(Pt 2 Pt 1):216-219. doi: 10.1107/s0108767398012598.

Authors

AC Hurley¹, AF Moodie, AW Johnson, PC Abbott

Affiliation

¹ Department of Applied Physics, Royal Melbourne Institute of Technology, Box 2476 W, Melbourne, Australia.

PMID: 10927252
DOI: 10.1107/s0108767398012598

Abstract

Commencing from a projection-operator description of N-beam diffraction, the mathematical basis for the recovery of phase and amplitude information from a three-beam convergent-beam electron diffraction pattern is given for both the centrosymmetric and noncentrosymmetric cases. The algebra is available in Mathematica Notebook form from the URL ftp://ftp.physics.uwa.edu.au/pub/EMC/3BeamAlgebra.nb.