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Related Concept Videos

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...
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...
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...

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Updated: Jun 29, 2026

Implementation of a Reference Interferometer for Nanodetection
16:11

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Published on: April 26, 2014

Si lattice parameter measurement by centimeter X-ray interferometry.

Luca Ferroglio1, Giovanni Mana, Enrico Massa

  • 1Politecnico di Torino, Torino, Italy.

Optics Express
|October 15, 2008
PubMed
Summary

A new X-ray and optical interferometer precisely measures silicon crystal lattice parameters. This advanced apparatus achieves a 3 x 10(-9) relative uncertainty, demonstrating its high capability for precise measurements.

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Area of Science:

  • Solid State Physics
  • Crystallography
  • Metrology

Background:

  • Accurate measurement of crystal lattice parameters is crucial for semiconductor research and development.
  • Existing interferometry techniques have limitations in precision and scope.

Purpose of the Study:

  • To introduce a novel combined X-ray and optical interferometer.
  • To evaluate the performance and precision of this new apparatus for measuring silicon crystal lattice parameters.

Main Methods:

  • Development of a combined X-ray and optical interferometer system.
  • Capability for measuring centimeter displacements.
  • Utilizing the apparatus for test measurements on silicon (Si) crystals.

Main Results:

  • Achieved a relative uncertainty of 3 x 10(-9) in lattice parameter measurements.
  • Demonstrated the apparatus's effectiveness in precise metrology.
  • Validated the capabilities of the combined interferometry technique.

Conclusions:

  • The developed interferometer offers unprecedented precision for lattice parameter determination.
  • This technology has significant implications for materials science and semiconductor manufacturing.
  • The apparatus is capable of meeting stringent metrological requirements.