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Related Concept Videos

Band Theory02:35

Band Theory

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When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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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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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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Molecular and Ionic Solids02:54

Molecular and Ionic Solids

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Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
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Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

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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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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...
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Density functional theory in the solid state.

Philip J Hasnip1, Keith Refson, Matt I J Probert

  • 1Department of Physics, University of York, , York YO10 5DD, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|February 12, 2014
PubMed
Summary
This summary is machine-generated.

Density functional theory (DFT) simulations are powerful tools for understanding solid-state materials. DFT enables accurate predictions of material properties and aids in discovering new materials and crystal structures.

Keywords:
computational chemistrycomputational materials sciencecondensed matter theorydensity functional theoryelectronic structure theory

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Area of Science:

  • Solid-state physics and chemistry
  • Materials science
  • Computational condensed matter physics

Background:

  • Density functional theory (DFT) is a computational quantum mechanical modeling method.
  • DFT has become a cornerstone in condensed matter physics and materials science.
  • Modern DFT simulation codes offer extensive capabilities for predicting material properties.

Purpose of the Study:

  • To provide an overview of solid-state DFT simulation capabilities.
  • To highlight DFT's role in materials discovery and structure prediction.
  • To illustrate DFT applications using the CASTEP program.

Main Methods:

  • Density functional theory (DFT) simulations.
  • Application of DFT in various solid-state fields.
  • Utilizing the CASTEP computational program.

Main Results:

  • DFT accurately predicts structural, chemical, optical, and thermodynamic properties.
  • DFT revolutionizes analysis and interpretation of experimental spectra (e.g., NMR).
  • DFT facilitates materials discovery and ab initio crystal structure prediction.

Conclusions:

  • Solid-state DFT is a versatile and powerful tool across multiple scientific disciplines.
  • DFT simulations are essential for understanding and predicting material behavior.
  • The CASTEP program exemplifies the broad applicability of solid-state DFT.