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Related Concept Videos

IR Absorption Frequency: Delocalization01:04

IR Absorption Frequency: Delocalization

Electron delocalization refers to the distribution of electrons across multiple atoms within a molecule rather than being confined to a single atom or bond. This phenomenon is common in systems with conjugated bonds—structures where alternating single and double bonds allow π-electrons to move freely across the network. The movement of electrons stabilizes the molecule and can affect various chemical properties, including vibrational frequencies observed in IR spectroscopy.
In IR spectroscopy,...
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Molecular and Ionic Solids

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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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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...
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Energy Bands in Solids01:01

Energy Bands in Solids

Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
 Band Formation:
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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Electron localization and delocalization indices for solids.

Alexey I Baranov1, Miroslav Kohout

  • 1Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Strasse 40, 01187, Dresden, Germany. baranov@cpfs.mpg.de.

Journal of Computational Chemistry
|May 4, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces electron localization and delocalization indices for analyzing chemical bonds in periodic systems using density functional theory (DFT) calculations. The method successfully characterizes various bonding types, advancing solid-state chemistry analysis.

Keywords:
ELIQTAIMchemical bondingdelocalization indiceslocalization indicessolids

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Area of Science:

  • Quantum chemistry
  • Solid-state physics
  • Materials science

Background:

  • Electron localization and delocalization indices are vital for molecular bonding analysis.
  • Previous applications were limited to simple periodic models.
  • A need exists to extend these indices to complex solid-state systems.

Purpose of the Study:

  • To implement and evaluate electron localization and delocalization indices for solid-state density functional theory (DFT) calculations.
  • To compare the results with Ponec's analytical model.
  • To characterize different chemical bonding types in periodic systems.

Main Methods:

  • Integration of the exchange-correlation part of pair density over QTAIM atoms.
  • Application of solid-state DFT calculations.
  • Analysis of ionic, covalent, and metallic compounds.

Main Results:

  • Successful implementation of electron localization and delocalization indices for solid-state DFT.
  • Comparison with Ponec's model showed good agreement.
  • Distinct bonding features were identified for ionic (NaCl), covalent (diamond, graphite), and metallic (Na, Cu) systems.

Conclusions:

  • The developed method is effective for analyzing chemical bonding in periodic systems.
  • Delocalization indices provide insights into the nature of ionic, covalent, and metallic bonds.
  • This approach expands the applicability of electron indices to solid-state materials.