Statistical dynamical theory of X-ray diffraction in the Bragg case: application to triple-crystal diffractometry

Area of Science:

• Solid State Physics
• Materials Science
• Crystallography

Background:

• X-ray diffraction is a key technique for analyzing crystal structures.
• Microdefects in crystals can significantly alter diffraction patterns.
• Understanding these alterations is crucial for materials characterization.

Purpose of the Study:

• To develop a statistical dynamical theory for X-ray diffraction in crystals with microdefects.
• To obtain Fourier-component equations for coherent and diffuse scattered waves.
• To introduce new parameters for characterizing the scattered volume.

Main Methods:

• Development of statistical dynamical theory.
• Derivation of Fourier-component equations for scattered waves.
• Application to triple-crystal diffractometry.

Main Results:

• Formulation of the statistical dynamical theory for microdefect-containing crystals.
• Obtained equations for coherent and diffuse (incoherent) scattered waves.
• Introduction of novel correlation lengths and areas for scattered volume characterization.

Conclusions:

• The developed theory provides a framework for analyzing X-ray diffraction in imperfect crystals.
• New parameters offer enhanced characterization of scattered waves.
• The findings are applicable to triple-crystal diffractometry studies of materials with microstructural variations.