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The '''dynamical theory of diffraction''' describes the interaction of [[wave]]s with a regular lattice. The wave fields traditionally described are [[X-rays]], [[neutron radiation|neutron]]s or [[electrons]] and the regular lattice, atomic crystal structures or nanometer scaled multi-layers or self arranged systems. In a wider sense, similar treatment is related to the interaction of light with optical band-gap materials or related wave problems in acoustics.▼
[[Image:LaueBraggGeometry.png|thumb|right|250px|Laue and Bragg geometries, top and bottom, as distinguished by the Dynamical theory of diffraction with the Bragg diffracted beam leaving the back or front surface of the crystal, respectively. ([http://liss.freeshell.org/kdl/DissLiss/ Ref.])]]
[[Image:RLaueBragg.png|thumb|right|250px|Reflectivities for Laue and Bragg geometries, top and bottom, respectively, as evaluated by the dynamical theory of diffraction for the absorption-less case. The flat top of the peak in Bragg geometry is the so-called [[Darwin Plateau]]. ([http://liss.freeshell.org/kdl/DissLiss/ Ref.])]]▼
▲The '''dynamical theory of diffraction''' describes the interaction of [[wave]]s with a regular [[Lattice model (physics)|lattice]]. The wave fields traditionally described are [[X-rays]], [[neutron radiation|neutron]]s or [[electrons]] and the regular lattice
==Principle of theory==▼
▲[[Image:RLaueBragg.png|thumb|right|250px|Reflectivities for Laue and Bragg geometries, top and bottom, respectively, as evaluated by the dynamical theory of diffraction for the absorption-less case. The flat top of the peak in Bragg geometry is the so-called
The dynamical theory of diffraction considers the wave field in the periodic potential of the crystal and takes into account all multiple scattering effects. Unlike the [[Diffraction formalism|kinematic theory of diffraction]] which describes the approximate position of [[Bragg diffraction|Bragg]] or [[X-ray crystallography|Laue diffraction]] peaks in [[reciprocal space]], dynamical theory corrects for refraction, shape and width of the peaks, extinction and interference effects. Graphical representations are described in [[dispersion surfaces]] around reciprocal lattice points which fulfill the boundary conditions at the crystal interface.
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== Further reading ==
* J. Als-Nielsen, D. McMorrow: Elements of Modern X-ray physics. Wiley, 2001 (chapter 5: diffraction by perfect crystals).
* André Authier: Dynamical theory of X-ray diffraction. IUCr monographs on crystallography, no. 11. Oxford University Press (1st edition 2001/ 2nd edition 2003). {{ISBN
* R. W. James: The Optical Principles of the Diffraction of X-rays. Bell., 1948.
* M. von Laue: Röntgenstrahlinterferenzen. Akademische Verlagsanstalt, 1960 (German).
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* H. Rauch, D. Petrascheck, “Grundlagen für ein Laue-Neutroneninterferometer Teil 1: Dynamische Beugung”, AIAU 74405b, Atominstitut der Österreichischen Universitäten, (1976)
* H. Rauch, D. Petrascheck, “Dynamical neutron diffraction and its application” in “Neutron Diffraction”, H. Dachs, Editor. (1978), Springer-Verlag: Berlin Heidelberg New York. p. 303.
* K.-D. Liss: "Strukturelle Charakterisierung und Optimierung der Beugungseigenschaften von Si(1-x)Ge(x) Gradientenkristallen, die aus der Gasphase gezogen wurden", Dissertation, Rheinisch Westfälische Technische Hochschule Aachen, (27 October 1994), [
{{DEFAULTSORT:Dynamical Theory Of Diffraction}}
{{Crystallography}}
[[Category:Neutron-related techniques]]
[[Category:Synchrotron-related techniques]]
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