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Related Concept Videos

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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Crystal Field Theory - Octahedral Complexes02:58

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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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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.
Types of Unit Cells
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Network Covalent Solids02:18

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Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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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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Structures of Solids02:22

Structures of Solids

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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Absence of Off-Diagonal Long-Range Order in hcp ^{4}He Dislocation Cores.

Maurice de Koning1, Wei Cai2, Claudio Cazorla3

  • 1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, UNICAMP, 13083-859, Campinas, São Paulo, Brazil and Center for Computing in Engineering and Sciences, Universidade Estadual de Campinas, UNICAMP, 13083-861, Campinas, São Paulo, Brazil.

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Quantum simulations show that dislocation cores in hexagonal close-packed solid helium-4 lack superfluidity. This finding challenges theories linking superfluidity in dislocation networks to experimental observations.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Fluids
  • Materials Science

Background:

  • Dislocation cores in solid helium-4 are potential pathways for mass transport.
  • Previous interpretations of mass-flux experiments suggested superfluidity within these cores.

Purpose of the Study:

  • To investigate the mass transport properties along dislocation cores in hexagonal close-packed (hcp) solid helium-4.
  • To determine the presence or absence of intrinsic superfluidity in these cores.

Main Methods:

  • Utilized a fully correlated quantum simulation approach.
  • Employed the zero-temperature path-integral ground state (PIGS) method.
  • Applied ergodic sampling of the permutation space for accurate simulations.

Main Results:

  • Investigated edge and screw dislocations in hcp ^{4}He.
  • Found the Bose-Einstein condensate fraction in dislocation cores to be practically null (≤10^{-6}).
  • Demonstrated that defective ^{4}He systems exhibit negligible superfluidity, similar to bulk crystals.

Conclusions:

  • Provided compelling evidence against intrinsic superfluidity in hcp ^{4}He dislocation cores.
  • Challenged the superfluid dislocation-network interpretation of observed mass-flux phenomena.
  • Called for further experimental validation of these quantum simulation findings.