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Related Concept Videos

X-ray Crystallography02:18

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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.
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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Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
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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.
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Cubic crystals in an x-ray polarization-splitting geometry.

M S Wallace1, R Presura1, S Haque1

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Certain crystals split polarized X-rays into two directions. Cubic crystals offer two orientations for this polarization splitting, with one potentially improving plasma spectroscopy by reducing unwanted reflections.

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Area of Science:

  • Solid-state physics
  • Crystallography
  • X-ray optics

Background:

  • Crystals possess internal planes capable of reflecting X-rays.
  • Linearly polarized X-rays can be split into perpendicular components by specific crystal structures.
  • Cubic crystals exhibit unique properties in X-ray interaction.

Purpose of the Study:

  • To investigate the polarization-splitting capabilities of hexagonal and cubic crystals.
  • To demonstrate two distinct crystal orientations in cubic crystals for X-ray polarization splitting.
  • To evaluate the potential advantages of specific cubic crystal orientations for plasma spectroscopy.

Main Methods:

  • Utilizing hexagonal and cubic crystal structures.
  • Employing K characteristic X-ray lines from copper and zirconium.
  • Experimentally demonstrating two crystal orientations in germanium for polarization splitting.

Main Results:

  • Both hexagonal and cubic crystals exhibit paired internal planes for X-ray polarization splitting.
  • Two distinct orientations in cubic crystals yield identical polarization-splitting geometries.
  • The study successfully demonstrated these orientations using a germanium crystal and specific X-ray lines.

Conclusions:

  • Cubic crystals offer versatile options for X-ray polarization control.
  • One cubic crystal orientation shows promise for enhancing plasma spectroscopy by minimizing unwanted reflections.
  • The findings provide valuable insights into crystal-based X-ray optics and their applications.