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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.
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