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Related Concept Videos

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,...
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Band Theory

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.
Conductor, Semiconductor,...
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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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Do anionic titanium dioxide nano-clusters reach bulk band gap? A density functional theory study.

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Journal of Computational Chemistry
|March 12, 2010
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This study reveals that vertical excitation gaps in anionic titanium dioxide clusters are smaller than in neutral ones. Analysis of anion photoelectron spectra (APES) requires careful consideration of electronic origins to avoid overestimation.

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Area of Science:

  • Materials Science
  • Quantum Chemistry
  • Solid State Physics

Background:

  • Understanding the electronic properties of metal oxide clusters is crucial for materials science and catalysis.
  • Titanium dioxide (TiO2) clusters are fundamental units with applications in photocatalysis and electronics.
  • Anion photoelectron spectroscopy (APES) provides insights into the electronic structure of anionic species.

Purpose of the Study:

  • To investigate the electronic properties of neutral and anionic TiO2 clusters (n=1-10).
  • To compare calculated electronic properties with experimental APES data.
  • To refine the analysis of APES for metal oxide clusters.

Main Methods:

  • Extensive density functional theory (DFT) calculations were employed.
  • Electron detachment energies and excitation gaps were computed for various cluster sizes.
  • Calculated values were validated against experimental APES.

Main Results:

  • Calculated electron detachment energies and excitation gaps show good agreement with experimental APES.
  • A revised analysis of APES indicates that traditional methods may overestimate vertical excitation gaps (VGA) for larger anionic clusters.
  • VGA of anionic TiO2 clusters were found to be significantly smaller than those of neutral clusters.

Conclusions:

  • The study provides accurate electronic properties for TiO2 clusters using DFT.
  • A more precise interpretation of APES data for anionic metal oxides is proposed.
  • The smaller VGA in anionic TiO2 clusters suggests potential implications for other high electron affinity metal oxides.