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Related Concept Videos

X-ray Crystallography02:18

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...
X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

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 crystal...
Determination of Crystal Structures01:29

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...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
X-ray Imaging01:24

X-ray Imaging

German physicist Wilhelm Röntgen (1845–1923) was experimenting with electrical current when he discovered that a mysterious and invisible "ray" would pass through his flesh but leave an outline of his bones on a screen coated with a metal compound. In 1895, Röntgen made the first durable record of the internal parts of a living human: an "X-ray" image (as it came to be called) of his wife’s hand. Scientists worldwide quickly began their own experiments with X-rays, and by 1900, X-ray was widely...
Law of Rational Indices01:29

Law of Rational Indices

The Law of rational indices is a fundamental principle in the field of crystallography. According to this law, the intercepts of a crystal face along the crystallographic axes (the three-dimensional axes along which a crystal is measured) can be expressed as either equivalent to the unit intercepts (a, b, c) or simple whole number multiples of them. These multiples are typically denoted as na, n'b, and n''c, where n, n', and n'' are simple whole numbers.To illustrate, consider a crystal with...

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Related Experiment Video

Updated: Jun 4, 2026

High Pressure Single Crystal Diffraction at PX^2
11:32

High Pressure Single Crystal Diffraction at PX^2

Published on: January 16, 2017

X-ray diffraction imaging using perfect crystals.

T J Davis1

  • 1CSIRO Division of Materials Science and Technology, Private Bag 33, Rosebank MDC, Clayton, Victoria 3169, Australia.

Journal of X-Ray Science and Technology
|February 11, 2011
PubMed
Summary
This summary is machine-generated.

Perfect crystals function as spatial filters in x-ray imaging systems. Analyzing their optical transfer functions reveals how these crystals control x-ray beams in both Laue and Bragg geometries.

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Area of Science:

  • Physics
  • Optics
  • Crystallography

Background:

  • Perfect crystals are crucial for controlling and directing x-ray beams in advanced imaging systems.
  • Understanding their optical properties is essential for optimizing x-ray imaging resolution and performance.

Purpose of the Study:

  • To analyze the imaging properties of perfect crystals using optical transfer functions.
  • To investigate the role of crystals as optical elements in x-ray imaging.
  • To compare imaging characteristics in Laue and Bragg geometries.

Main Methods:

  • Optical transfer functions (OTFs) were employed to characterize crystal imaging properties.
  • OTFs were derived from the one-dimensional Fourier transform of the Takagi-Taupin equations.
  • Image simulations were performed for Laue and Bragg geometries using a Fourier transform method.

Main Results:

  • The optical transfer functions were directly related to the point-spread functions of the crystal imaging system.
  • Simulations demonstrated the spatial filtering capabilities of diffracting crystals.
  • Distinct imaging characteristics were observed for Laue and Bragg crystal configurations.

Conclusions:

  • Perfect crystals effectively act as spatial filters, influencing the object wave.
  • The study provides a framework for understanding and utilizing crystal optics in x-ray imaging.
  • This analysis aids in the design of novel x-ray imaging systems with enhanced control over beam manipulation.