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

Lewis, Alan L. and Villagrana, Robert E. (1972) Perturbation Treatment of High-Energy-Electron Diffraction from Imperfect Crystals. Physical Review B, 6 (12). pp. 4382-4392. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20150127-080422520

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.6.4382DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.6.4382PublisherArticle
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.
Funders:
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Atomic Energy CommissionUNSPECIFIED
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CALT767-P3-22
Record Number:CaltechAUTHORS:20150127-080422520
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150127-080422520
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54121
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Jan 2015 17:16
Last Modified:27 Jan 2015 17:16

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