Related Experiment Video
Updated: Aug 14, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
The statistical kinematical theory of X-ray diffraction as applied to reciprocal-space mapping
1Department of Theoretical and Computing Physics, Syktyvkar State University, Oktyabrskii pr. 55, 167001 Syktyvkar, Russia. nester@ssu. komi.com.
A new statistical kinematical X-ray diffraction theory describes reciprocal-space maps from deformed crystals. This method provides general solutions for scattered intensity components, aiding defect analysis in materials science.
Area of Science:
- Materials Science
- Solid State Physics
- Crystallography
Background:
- Understanding crystal defects is crucial for material properties.
- Reciprocal-space maps (RSMs) are vital for analyzing crystal structures.
- Existing theories may not fully capture defect scattering complexities.
Purpose of the Study:
- To develop a statistical kinematical X-ray diffraction theory.
- To describe reciprocal-space maps (RSMs) from deformed crystals with structural defects.
- To derive general solutions for coherent and diffuse scattered intensity components.
Main Methods:
- Development of statistical kinematical X-ray diffraction theory.
- Derivation of general solutions for scattered intensity in reciprocal space.
- Application to specific defect models (spherical defects, mosaic crystals).
- Inclusion of the instrumental function of triple-crystal diffractometers.
Main Results:
- General solutions for coherent and diffuse scattered intensity components were derived.
- Explicit expressions for intensity distributions were obtained for spherical defects and mosaic crystals.
- The developed theory accounts for instrumental broadening effects.
Conclusions:
- The statistical kinematical X-ray diffraction theory effectively describes RSMs from defective crystals.
- The derived solutions are applicable to experimental data analysis using triple-crystal diffractometry.
- This work provides a robust framework for characterizing crystal defects via X-ray diffraction.
More Related Videos
11:48Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography
Published on: April 24, 2018
09:00Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
Published on: September 29, 2019
Related Concept Videos
X-ray Crystallography
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Kinematic Equations - II
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
Kinematic Equations - III
Using the kinematic equations,...
X-ray Diffraction of Biological Samples
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are scattered by the electron clouds around the sample atoms. The X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal crystal...
Determination of Crystal Structures
Real-World Applications of Space Curves