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. doi:10.1103/PhysRevB.6.4382. https://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 | |||||||||
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| 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. | |||||||||
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| Issue or Number: | 12 | |||||||||
| DOI: | 10.1103/PhysRevB.6.4382 | |||||||||
| Record Number: | CaltechAUTHORS:20150127-080422520 | |||||||||
| Persistent URL: | https://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: | 10 Nov 2021 20:29 |
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