Effect of the bending of reflecting planes in crystals on the propagation of an anomalous wave in x-ray diffraction

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The effect of bending of reflection planes in crystals on the propagation of an anomalous wave in X-ray diffraction has been studied by numerical simulation methods. The bending sign of the reflection planes was found to affect radically the propagation of the X-ray wave field in the crystal. The Bormann effect was shown to be suppressed at certain bending parameters.

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作者简介

I. Smirnova

Osipyan Institute of Solid State Physics RAS

Email: suvorov@issp.ac.ru
俄罗斯联邦, 142432, Moscow Region, Chernogolovka

E. Suvorov

Osipyan Institute of Solid State Physics RAS

编辑信件的主要联系方式.
Email: suvorov@issp.ac.ru
俄罗斯联邦, 142432, Moscow Region, Chernogolovka

参考

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  9. Authier A. Dynamical Theory of X-ray Diffraction. Oxford: Oxford University Press, 2002. 674 p.

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2. Fig. 1. Edge dislocation: a is a flat image of the local disorientation field [5] (m is the plane of mirror symmetry, n is the plane of color symmetry); b is the experimentally observed diffraction image [2] (Si single crystal with a thickness of 1810 microns, crystal surface (111), reflection 2_20, CuKa radiation).

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3. Fig. 2. Three–dimensional image of the field of local disorientation of the β edge dislocation (a); two-dimensional sections parallel to the Yß plane at distances from the origin x1 = 35, x2 = -35 microns; b is a section parallel to the Xß plane at x = 0.

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4. Fig. 3. Diagram of the signs of bending of the reflecting planes used in the work: hkl – indices of the reflecting planes; R – radius of bending of the reflecting planes; Khkl – diffraction vector.

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5. Fig. 4. The relative intensity I/Type of the anomalous (Bormann) wave field in the center of the scattering triangle, depending on the bending radius R of the reflecting planes (normalized to the intensity of the ideal crystal Iid).

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6. Fig. 5. Numerical simulation of the wave field in the scattering triangle in the case of a thick crystal with different bending signs of the reflecting planes.

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7. Fig. 6. Fragments of the wave field in the scattering triangles of a thin crystal (150 microns), where normal and abnormal waves are present (numerical simulation).

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8. Fig. 7. Graphs of relative intensity ΔI = Iic – IR, R: +300 (1); -300 m (2).

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