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X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed 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...

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Related Experiment Video

Updated: Oct 18, 2025

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

UnitCell Tools, a package to determine unit-cell parameters from a single electron diffraction pattern.

Hong-Long Shi¹, Zi-An Li²

¹School of Science, Minzu University, 27 Zhong guancun South Avenue, Haidian District, Beijing 100081, People's Republic of China.

|September 29, 2021

Summary

This summary is machine-generated.

A new software package enables precise unit-cell parameter determination from single electron diffraction patterns. This advances crystal structure analysis in transmission electron microscopy (TEM) for unknown crystallites.

Keywords:

Bravais lattice HOLZ SAED electron diffraction unit cell

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Last Updated: Oct 18, 2025

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Published on: August 22, 2017

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$High Pressure Single Crystal Diffraction at PX^2$

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Published on: January 16, 2017

Area of Science:

Materials Science
Crystallography
Electron Microscopy

Background:

Electron diffraction in transmission electron microscopy (TEM) is used for crystal phase analysis.
Current methods offer limited accuracy and can be time-consuming.
Accurate unit-cell parameter determination is crucial for materials characterization.

Purpose of the Study:

To develop a novel software package for determining unit-cell parameters from a single electron diffraction pattern.
To improve the accuracy and efficiency of unit-cell determination in TEM.
To enable the analysis of unknown crystal structures.

Main Methods:

Reconstruction of a 3D reciprocal primitive cell from a single electron diffraction pattern (including zero-order and high-order Laue zones).
Reduction of the primitive cell to the Niggli cell and subsequent conversion to the unit cell.
Validation using simulated and experimental diffraction patterns, assessing effects of experimental conditions.

Main Results:

A new software package for unit-cell parameter determination from single electron diffraction patterns was developed.
The method demonstrated robustness and accuracy under various experimental conditions.
Successful unit-cell determination of TiO2 nanorods was achieved.
The software can analyze unknown-structure crystallites larger than 50 nm using flexible TEM modes.

Conclusions:

The developed software package offers a significant advancement in determining unit-cell parameters from single electron diffraction patterns.
It provides a more accurate and efficient alternative to existing methods.
This tool facilitates the characterization of materials with unknown crystal structures using transmission electron microscopy.