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Hybrid functional studies of the oxygen vacancy inTiO2

Janotti, A., Varley, J. B., Rinke, P., Umezawa, N., Kresse, G., Van de Walle, C. G.·2010·Physical Review B

Abstract

The electronic and structural properties of the oxygen vacancy $({V}_{\text{O}})$ in rutile ${\text{TiO}}_{2}$ are studied using generalized Kohn-Sham theory with the Heyd, Scuseria, and Ernzerhof (HSE) hybrid functional for exchange and correlation. The HSE approach corrects the band gap and allows for a proper description of defects with energy levels close to the conduction band. According to the HSE calculations, ${V}_{\text{O}}$ is a shallow donor for which the $+2$ charge state is lower in energy than the neutral and $+1$ charge states for all Fermi-level positions in the band gap. The formation energy of ${V}_{\text{O}}^{2+}$ is relatively low in $n$-type ${\text{TiO}}_{2}$ under O-poor conditions but it rapidly increases with the oxygen chemical potential. This is consistent with experimental observations where the electrical conductivity decreases with oxygen partial pressure.

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Research works printed but not linked: 30

  1. 10.1063/1.1361065 · DOI · Paper page
  2. 10.1063/1.2835707 · doi:10.1063/1.2835707
  3. 10.1103/PhysRevB.54.7945 · DOI
  4. 10.1103/PhysRev.130.1711 · doi:10.1103/physrev.130.1711
  5. 10.1103/PhysRev.133.A1431 · doi:10.1103/physrev.133.a1431
  6. 10.1063/1.355801 · DOI
  7. 10.1016/S0272-8842(97)00056-4 · doi:10.1016/s0272-8842(97)00056-4
  8. 10.1021/jp0606210 · doi:10.1021/jp0606210
  9. 10.1016/0022-5088(67)90111-7 · DOI
  10. 10.1021/jp9943272 · DOI · Paper page
  11. U. Diebold, 2000, Surf. Rev. Lett., 7, 613, 10.1142/S0218625X0000052X · DOI
  12. 10.1103/PhysRevB.72.035203 · doi:10.1103/physrevb.72.035203
  13. 10.1063/1.2053360 · DOI · Paper page
  14. 10.1103/PhysRevB.77.245202 · DOI · Paper page
  15. 10.1063/1.1682673 · DOI · Paper page
  16. 10.1103/PhysRevB.67.144415 · doi:10.1103/physrevb.67.144415
  17. 10.1103/PhysRevB.73.125205 · DOI · Paper page
  18. 10.1063/1.1564060 · DOI · Paper page
  19. 10.1063/1.2204597 · DOI · Paper page
  20. 10.1016/0927-0256(96)00008-0 · DOI · Paper page
  21. 10.1063/1.2404663 · DOI · Paper page
  22. 10.1103/RevModPhys.31.646 · DOI · Paper page
  23. G. V. Samsonov, 1982, The Oxide Handbook, 10.1007/978-1-4757-1613-9 · DOI
  24. 10.1103/PhysRevB.51.6842 · DOI · Paper page
  25. 10.1039/b003590o · DOI
  26. 10.1016/S0022-3697(97)00117-0 · doi:10.1016/s0022-3697(97)00117-0
  27. 10.1103/PhysRevB.73.193202 · DOI · Paper page
  28. 10.1103/PhysRevB.75.073203 · DOI
  29. 10.1016/j.actamat.2007.04.005 · DOI
  30. 10.1063/1.2996362 · DOI · Paper page

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Metadata

Authors
Janotti, A., Varley, J. B., Rinke, P., Umezawa, N., Kresse, G., & Van de Walle, C. G.
Venue
Physical Review B
Published
2010-02-16
Volume
81
Issue
8
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1967037771
Cited by
624
References
9
FWCI
17.35
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Hybrid functional studies of the oxygen vacancy inTiO2. https://app.cochat.ai/papers/10.1103/physrevb.81.085212
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Janotti, A., Varley, J. B., Rinke, P., Umezawa, N., Kresse, G., & Van de Walle, C. G. (2010). Hybrid functional studies of the oxygen vacancy inTiO2. Physical Review B. https://doi.org/10.1103/physrevb.81.085212

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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