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Related Concept Videos

Metallic Solids02:37

Metallic Solids

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...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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,...
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Colors and Magnetism03:02

Colors and Magnetism

Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human eye.
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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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Long-range empirical potential model: extension to hexagonal close-packed metals.

Y Dai1, J H Li, B X Liu

  • 1Advanced Materials Laboratory, Department of Materials Science and Engineering, Tsinghua University, Beijing 100084, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 12, 2011
PubMed
Summary
This summary is machine-generated.

A new long-range empirical potential accurately models hcp metals, predicting structural stability and material properties. This potential is crucial for simulating defects and interactions in various metal systems.

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Area of Science:

  • Materials Science
  • Computational Materials Science
  • Condensed Matter Physics

Background:

  • Accurate interatomic potentials are essential for atomistic simulations of materials.
  • Existing potentials may not adequately describe the properties and defect behavior of hexagonal close-packed (hcp) metals.

Purpose of the Study:

  • To develop a robust long-range empirical n-body potential for hcp metals.
  • To validate the potential's accuracy in reproducing structural and energetic properties.
  • To apply the potential to study intrinsic defects in hcp metals.

Main Methods:

  • Development of a long-range empirical n-body potential.
  • Application to hcp metals (Co, Hf, Mg, Re, Ti, Zr).
  • Validation against experimental data and other theoretical calculations for lattice constants, cohesive energies, bulk modulus, and defect properties.

Main Results:

  • The potential accurately reproduces lattice constants, c/a ratios, cohesive energies, and bulk moduli for stable and metastable structures.
  • It correctly predicts structural stability and energy differences between phases.
  • Calculated formation energies for vacancies, divacancies, surface, and stacking faults align well with experimental and theoretical values.

Conclusions:

  • The developed potential provides a reliable description for hcp metals and their interactions.
  • It accurately models defect properties, including vacancy formation and self-diffusion activation energies.
  • The potential is versatile for simulating systems composed of body-centered cubic (bcc), face-centered cubic (fcc), and hcp metals.