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Determination of Crystal Structures

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

X-ray Crystallography

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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.
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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...

$X-ray Diffraction of Biological Samples$ 01:10

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X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
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...

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Characterization of diffraction efficiency for X-ray analyzer crystals using a laboratory-based primary diffraction

Yue Li, Renzhou Zheng, Pengfei Qiang

|March 17, 2026

Summary

This summary is machine-generated.

We developed a new laboratory method to measure X-ray analyzer crystal diffraction efficiency (η). This approach overcomes limitations of synchrotron sources, enabling accurate calibration and rapid screening of crystals for X-ray applications.

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Area of Science:

Materials Science
Optics
Physics

Background:

X-ray analyzer crystals are crucial for monochromatic X-ray sources, with diffraction efficiency (η) impacting beam parameters like flux density.
Current methods for measuring crystal efficiency often rely on synchrotron sources, which are costly and have limited accessibility.

Purpose of the Study:

To develop and present a laboratory-based method for accurately measuring the diffraction efficiency of X-ray analyzer crystals.
To overcome systematic errors associated with detector resolution limitations in efficiency measurements.

Main Methods:

A novel calibration system was designed and implemented.
The system utilizes primary diffraction photons, eliminating detector resolution-related errors.
The method was validated using a Si(220) crystal at 4.51 keV.

Main Results:

The calibration system achieved a peak diffraction efficiency (η) of 22.2% ± 2.5% for the Si(220) crystal.
The laboratory method demonstrated its capability to provide reliable efficiency measurements.

Conclusions:

The presented laboratory method offers a cost-effective and accessible alternative to synchrotron-based measurements for X-ray analyzer crystal efficiency.
This approach supports accurate calibration and facilitates rapid screening of crystals in X-ray calibration facilities.