The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Structure and energetics of stoichiometricTiO2anatase surfaces
Abstract
We present an ab initio density-functional investigation of the structure and energetics of several stoichiometric $1\ifmmode\times\else\texttimes\fi{}1$ low-index surfaces of anatase, a ${\mathrm{TiO}}_{2}$ polymorph $\ensuremath{\sim}9%$ less dense and $\ensuremath{\sim}1.2$ kcal/mol less stable than rutile. Although our calculations do not reproduce the relative ordering of the two phases that is observed experimentally, the calculated bulk structural and elastic properties of both polymorphs are in excellent agreement with the experiment, suggesting that surface relaxations are correctly described as well. As expected, the surface energies of anatase appear to be related to the presence of undercoordinated Ti atoms: the surfaces with fourfold-coordinated Ti atoms have a larger energy than those with fivefold-coordinated Ti. Furthermore, we find that the average surface energy of a ${\mathrm{TiO}}_{2}$ anatase macroscopic crystal is smaller than that of rutile. Finally, patterns in the relaxation of the surface atoms which are common to different surfaces are analyzed.
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Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Lee, C., Yang, W., & Parr, R. G. (1988) · Physical Review B · doi:10.1103/physrevb.37.785 · Cited by 100,874
Density-functional exchange-energy approximation with correct asymptotic behavior
Becke, A. D. (1988) · Physical Review A · doi:10.1103/physreva.38.3098 · Cited by 53,711
A low-cost, high-efficiency solar cell based on dye-sensitized colloidal TiO2 films
O'Regan, B., & Grätzel, M. (1991) · Nature · doi:10.1038/353737a0 · Cited by 28,599
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Ground State of the Electron Gas by a Stochastic Method
Ceperley, D. M., & Alder, B. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.566 · Cited by 14,384
Photocatalysis on TiO2 Surfaces: Principles, Mechanisms, and Selected Results
Linsebigler, A. L., Lu, G., & Yates, J. T. (1995) · Chemical Reviews · doi:10.1021/cr00035a013 · Cited by 11,575
The Compressibility of Media under Extreme Pressures
Murnaghan, F. D. (1944) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.30.9.244 · Cited by 8,729
Light-Induced Redox Reactions in Nanocrystalline Systems
Hagfeldt, A., & Graetzel, M. (1995) · Chemical Reviews · doi:10.1021/cr00033a003 · Cited by 5,357
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The surface science of titanium dioxide
Diebold, U. (2003) · Surface Science Reports · doi:10.1016/s0167-5729(02)00100-0 · Cited by 7,944
Advanced Nanoarchitectures for Solar Photocatalytic Applications
Kubacka, A., Fernández-García, M., & Colón, G. (2012) · Chemical Reviews · doi:10.1021/cr100454n · Cited by 2,373
Titanium Dioxide Crystals with Tailored Facets
Liu, G., Yang, H. G., Pan, J., Yang, Y. Q., Lu, G. Q. (., & Cheng, H.-M. (2014) · Chemical Reviews · doi:10.1021/cr400621z · Cited by 1,084
Cantwell, P. R., Tang, M., Dillon, S. J., Luo, J., Rohrer, G. S., & Harmer, M. P. (2014) · Acta Materialia · doi:10.1016/j.actamat.2013.07.037 · Cited by 916
Kapilashrami, M., Zhang, Y., Liu, Y.-S., Hagfeldt, A., & Guo, J. (2014) · Chemical Reviews · doi:10.1021/cr5000893 · Cited by 508
Metadata
- Authors
- Lazzeri, M., Vittadini, A., & Selloni, A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2001-03-26
- Volume
- 63
- Issue
- 15
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2008498887
- Cited by
- 1,454
- References
- 23
- FWCI
- 17.29
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lazzeri, M., Vittadini, A., & Selloni, A. (2001). Structure and energetics of stoichiometricTiO2anatase surfaces. Physical Review B. https://doi.org/10.1103/physrevb.63.155409
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