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Related Concept Videos

The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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Tetrahedral Complexes
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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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.
CFT focuses on...
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X-ray Crystallography02:18

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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Metallic Solids02:37

Metallic Solids

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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.
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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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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 Symmetry-Dependent In-Plane Hall Effect.

Liang Liu1,2,3, Armando Pezo4, Diego García Ovalle4

  • 1Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Tsung-Dao Lee Institute, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.

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|January 3, 2024
PubMed
Summary

Researchers discovered a new crystal symmetry-dependent in-plane Hall effect (CIHE) in CuPt/CoPt. This novel Hall effect, unlike the planar Hall effect (PHE), shows unique angular dependence linked to crystal structure.

Keywords:
C3v structureIn-plane Hall effectcrystal symmetrytrigonal warping

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Solid-State Physics

Background:

  • The Hall effect is crucial for understanding electron transport in solids.
  • Previous studies focused on the planar Hall effect (PHE).
  • Crystal symmetry's role in electronic transport phenomena requires further exploration.

Purpose of the Study:

  • To report a novel crystal symmetry-dependent in-plane Hall effect (CIHE).
  • To investigate the origin and characteristics of CIHE in ferromagnetic heterostructures.
  • To explore the relationship between crystal symmetry and unconventional Hall effects.

Main Methods:

  • Experimental observation of CIHE in CuPt/CoPt ferromagnetic heterostructures.
  • Symmetry analysis using Invariant Theory.
  • Theoretical modeling including tight-binding model and first-principles calculations.

Main Results:

  • Observed a CIHE with unconventional angular dependence (cos(3ϕ)).
  • Demonstrated that CIHE exists in magnetic crystals with C3v symmetry.
  • Identified trigonal warping of the Fermi surface as the origin of CIHE.

Conclusions:

  • Crystal symmetry plays a critical role in generating new types of Hall effects.
  • CIHE offers a new avenue for probing electron transport properties.
  • The findings advance the understanding of symmetry-governed electronic phenomena in magnetic materials.