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Published December 1972 | Published + Submitted
Journal Article Open

Perturbation Treatment of High-Energy-Electron Diffraction from Imperfect Crystals


A modified-Bloch-wave expansion is used to develop a theory of high-energy-electron diffraction from imperfect crystals. To compute these new Bloch waves one must solve a linear hyperbolic system in n unknowns. Scattering among the Bloch waves is controlled by the matrix elements of the perturbing potential, and various approximations to this scattering are discussed. The hyperbolic system is transformed to normal form; in making this transformation, the unknown functions become the plane-wave amplitudes of the Darwin representation. The normal form reveals the region of determinacy of the system: a cone generated by the diffracted beams. The contraction of this cone to a line (the column approximation) is discussed in terms of the Bloch-wave scattering.

Additional Information

© 1972 American Physical Society. Published 15 December 1972. Work supported by the U. S. Atomic Energy Commission and the National Science Foundation. CALT-767-P3-22.

Attached Files

Published - PhysRevB.6.4382.pdf

Submitted - A_Perturbation_Treatment_of_High_Energy_Electron_Diffraction_from_Imperfect_Crystals.pdf


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August 19, 2023
October 19, 2023