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Related Concept Videos

Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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.
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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 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...
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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...

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Scaling behaviour of pair correlation functions for randomly faulted hexagonal close-packed structures.

Pratyush Tiwary1, Dhananjai Pandey

  • 1Department of Metallurgical Engineering, Banaras Hindu University, Varanasi 221005, India.

Acta Crystallographica. Section A, Foundations of Crystallography
|June 16, 2007
PubMed
Summary

Hexagonal close-packed (h.c.p.) pair correlation functions collapse into master curves, revealing non-universal fault-dependent characteristic lengths. This study outlines a method to determine these lengths from intensity data.

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Area of Science:

  • Materials Science
  • Crystallography
  • Statistical Physics

Background:

  • Understanding crystal defects is crucial for material properties.
  • Hexagonal close-packed (h.c.p.) structures are common in many metals and alloys.
  • Faults in crystal structures can significantly alter their behavior.

Purpose of the Study:

  • To investigate the behavior of pair correlation functions in h.c.p. systems with defects.
  • To develop a method for characterizing the impact of growth and deformation faults.
  • To establish universal scaling relationships for defected h.c.p. structures.

Main Methods:

  • Utilizing Monte Carlo simulations to model defected h.c.p. structures.
  • Employing analytical techniques to derive pair correlation functions.
  • Analyzing the collapse of correlation functions onto master curves using a characteristic length (L).

Main Results:

  • Demonstrated that h.c.p. pair correlation functions collapse into master curves.
  • Showed that the characteristic length (L) depends on fault type in a non-universal manner.
  • Presented a straightforward method to determine L from measured intensity distributions.

Conclusions:

  • The scaling behavior of pair correlation functions provides insights into defect structures.
  • The non-universal dependence of L highlights the specific nature of different fault types.
  • The proposed method offers a practical approach for experimental characterization of defects in h.c.p. materials.