Journal Article FZJ-2020-01777

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Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid

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2020
Blackwell Oxford [u.a.]

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Abstract: The generalized Darwin–Hamilton equations [Wuttke (2014). Acta Cryst. A70, 429–440] describe multiple Bragg reflection from a thick, ideally imperfect crystal. These equations are simplified by making full use of energy conservation, and it is demonstrated that the conventional two-ray Darwin–Hamilton equations are obtained as a first-order approximation. Then an efficient numeric solution method is presented, based on a transfer matrix for discretized directional distribution functions and on spectral collocation in the depth coordinate. Example solutions illustrate the orientational spread of multiply reflected rays and the distortion of rocking curves, especially if the detector only covers a finite solid angle.

Keyword(s): Instrument and Method Development (1st) ; Crystallography (2nd) ; Instrument and Method Development (2nd)

Classification:

Contributing Institute(s):
  1. JCNS-FRM-II (JCNS-FRM-II)
  2. Heinz Maier-Leibnitz Zentrum (MLZ)
Research Program(s):
  1. 6G15 - FRM II / MLZ (POF3-6G15) (POF3-6G15)
  2. 6G4 - Jülich Centre for Neutron Research (JCNS) (POF3-623) (POF3-623)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2020
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Medline ; Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF >= 5 ; JCR ; NCBI Molecular Biology Database ; NationallizenzNationallizenz ; PubMed Central ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection
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 Record created 2020-04-20, last modified 2022-09-30