Dynamical theory of X-ray diffraction for the study of crystal surfaces

The Darwin dynamical theory is extended to the asymmetric diffractions of the Bragg and Laue cases in a form suited for treating the crystal with a different structure on its surface by using the characteristic matrix method. For ideal crystals, the exact analytical solutions valid for any incidence...

Full description

Saved in:
Bibliographic Details
Published in:Surface science 1995-03, Vol.326 (3), p.347-360
Main Authors: Takahashi, Toshio, Nakatani, Shinichiro
Format: Article
Language:English
Subjects:
Adatoms
Condensed matter: structure, mechanical and thermal properties
Crystalline-amorphous interfaces
Crystalline-glass interfaces
Exact sciences and technology
Physics
Silicon
Single crystal epitaxy
Single crystal surfaces
Solid surfaces and solid-solid interfaces
Structure of solids and liquids
crystallography
Surface structure and topography
Surface structure, morphology, roughness, and topography
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
Theories of diffraction and scattering
X-ray diffraction and scattering
X-ray scattering, diffraction, and reflection
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Darwin dynamical theory is extended to the asymmetric diffractions of the Bragg and Laue cases in a form suited for treating the crystal with a different structure on its surface by using the characteristic matrix method. For ideal crystals, the exact analytical solutions valid for any incidence condition are obtained as a function of the general expression of the deviation parameter within the two-beam approximation. It is shown that the exact expressions are reduced to the expressions given by the conventional theories using the appropriate approximations in the cases of CTR (crystal truncation rod) scattering, specular reflectivity and Bragg reflection including the condition of a Bragg angle of 90°. Next the Darwin theory is extended to the coplanar three-beam case to study the effect of other beams on CTR scattering. It is shown that the reflectivity of CTR scattering obtained by the two-beam approximation holds good except when the other beam satisfies the Bragg condition, and the modulation in the reflectivity on such conditions is sensitive enough to get information of the surface structure.
ISSN:0039-6028
1879-2758
DOI:10.1016/0039-6028(94)00792-6