Multifunctional Two- and Three-Dimensional Polycrystalline X-Ray Diffractometry

Indexed in: Chemical Abstracts, EBSCO.

A novel X-ray diffraction (XRD) theory is intensively revealed in this book. The theory will extend present XRD view from one dimension to two and three dimensions, enabling readers to see the ...
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Features of 3D X-Ray Diffractometry

Pp. 127-138 (12)

DOI: 10.2174/978160805076511101010127

Author(s): Cong Qiuzi, Yu Xiang, He Li



The texture/orientation analysis concerns the density distribution of crystallites with orientations. Orientations of crystallites affect their diffracted intensities in direction. It can be directly determined by 2D/3D X-ray techniques, based on the 2D X-ray diffraction theory.

The following text will be taken into consideration the pole-figure method. Previously, according to [1], textures in the spherical-harmonic analysis were represented by a) preparation of pole figures from X-ray data; b) expansion of the pole figure in a series of spherical harmonics (normalized by Legendre polynomials); c) three sets of coordinates required. In a sample, the orientation of every grain or crystallite can be specified by fixing a coordinate system in the sample (x, y, z) and another in the crystal (X,Y,Z) with respect to the unit cell; in addition, the orientation of a given crystallite is given by rotation angles θ, Ψ and φ which are necessary to align the two systems in a spherical coordinate system. But this is almost impossible for polycrystalline materials; because these materials consist of many crystallites with different shapes, sizes and orientations.....