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Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
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Oxygen Deficiencies in Titanium Oxide Clusters as Models for Bulk Defects.

Lauren F Heald1,2, Jacob M Garcia1,2, Scott G Sayres1,2

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|January 10, 2022
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Titanium dioxide (TiO2) suboxide clusters exhibit unique electronic and structural properties due to partially filled d orbitals. These properties, including polaron formation and d-d transitions, influence their stability and behavior.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Solid State Physics

Background:

  • Titanium dioxide (TiO2) is a widely studied material with diverse applications.
  • Understanding the properties of TiO2 clusters is crucial for developing new materials.
  • Suboxide forms of TiO2, with partially filled d orbitals, present unique electronic characteristics.

Purpose of the Study:

  • To investigate the structural, electronic, and topological properties of neutral and suboxide titanium dioxide clusters.
  • To elucidate the nature of photoexcitations and charge carrier behavior in these clusters.
  • To correlate calculated properties with experimental observations of cluster distributions and stability.

Main Methods:

  • Time-dependent density-functional theory (TD-DFT) calculations were employed.
  • Calculations were performed on neutral and suboxide TiO2 clusters with up to 7 atoms (n ≤ 7).
  • Analysis included electronic structure, photoexcitation energies, binding energies, and charge carrier localization.

Main Results:

  • Neutral TiO2 clusters are closed-shell with empty d orbitals, exhibiting O-2p to Ti-3d transitions.
  • Suboxide clusters are open-shell, showing d-d transitions at smaller optical gaps.
  • Low-energy photoabsorption leads to polaron formation (hole localization and bond elongation), while d-electrons are delocalized.
  • Oxygen binding energies and structures were calculated, explaining experimental cluster population variations.
  • Higher symmetry, particularly tetrahedral symmetry in Ti4O6, enhances stability by inhibiting charge carrier localization.

Conclusions:

  • Partially filled d orbitals in TiO2 suboxides significantly impact their properties.
  • The nature of electronic transitions (O-2p to Ti-3d vs. d-d) differs between neutral and suboxide clusters.
  • Cluster stability is linked to symmetry and the ability to localize charge carriers, with Ti4O6 being a stable example.