Predicting New TiO2 Phases with Low Band Gaps by a Multiobjective Global Optimization Approach
Abstract
TiO 2 has been extensively studied due to the possible application in solar cells and photoelectrochemical (PEC) water-splitting. However, the energy conversion efficiency is rather low because of the large band gaps (larger than 3.0 eV) of rutile and anatase TiO 2 . Here we introduce the multiobjective differential evolution (MODE) method as a novel global optimization algorithm to predict new polymorphs of bulk TiO 2 with better optical properties than rutile and anatase TiO 2 . The band gaps of the new PI ( Pnma ) and CI (C2) phases are found to be 1.95 and 2.64 eV. The calculation of formation energy, phonon dispersions, and thermal stability shows that the two novel phases are dynamically and thermally stable. These new TiO 2 polymorphs with better electronic and optical properties may pave a new way for high-efficiency solar energy conversion.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
Projector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732 · see citing works
A fast and elitist multiobjective genetic algorithm: NSGA-II
Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002) · IEEE Transactions on Evolutionary Computation · doi:10.1109/4235.996017 · Cited by 50,053 · see citing works
Electrochemical Photolysis of Water at a Semiconductor Electrode
FUJISHIMA, A., & HONDA, K. (1972) · Nature · doi:10.1038/238037a0 · Cited by 34,169 · see citing works
Kresse, G., & Häfner, J. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.14251 · Cited by 22,964 · see citing works
Hybrid functionals based on a screened Coulomb potential
Heyd, J., Scuseria, G. E., & Ernzerhof, M. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1564060 · Cited by 19,629 · see citing works
Visible-Light Photocatalysis in Nitrogen-Doped Titanium Oxides
Asahi, R., Morikawa, T., Ohwaki, T., Aoki, K., & Taga, Y. (2001) · Science · doi:10.1126/science.1061051 · Cited by 12,264 · see citing works
Togo, A., Oba, F., & Tanaka, I. (2008) · Physical Review B · doi:10.1103/physrevb.78.134106 · Cited by 5,453 · see citing works
Efficient Photochemical Water Splitting by a Chemically Modified n-TiO 2
Khan, S. U. M., Al‐Shahry, M., & Ingler, W. B. (2002) · Science · doi:10.1126/science.1075035 · Cited by 4,075 · see citing works
Choi, W., Termin, A. P., & Hoffmann, M. R. (1994) · The Journal of Physical Chemistry · doi:10.1021/j100102a038 · Cited by 3,656 · see citing works
Crystal structure prediction via particle-swarm optimization
Wang, Y., Lv, J., Zhu, L., & Ma, Y. (2010) · Physical Review B · doi:10.1103/physrevb.82.094116 · Cited by 2,743 · see citing works
Oganov, A. R., & Glass, C. W. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2210932 · Cited by 2,596 · see citing works
Zhang, H., & Banfield, J. F. (2000) · The Journal of Physical Chemistry B · doi:10.1021/jp000499j · Cited by 1,551 · see citing works
Global Optimization of Clusters, Crystals, and Biomolecules
Wales, D. J., & Scheraga, H. A. (1999) · Science · doi:10.1126/science.285.5432.1368 · Cited by 1,115 · see citing works
DEMO: Differential Evolution for Multiobjective Optimization
Robič, T., & Filipič, B. (2005) · Lecture notes in computer science · doi:10.1007/978-3-540-31880-4_36 · Cited by 614 · see citing works
PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems
Abbass, H. A., Sarker, R. A., & Newton, C. (2002) · Congress on Evolutionary Computation · doi:10.1109/cec.2001.934295 · Cited by 525 · see citing works
A two-dimensional phase of TiO2 with a reduced bandgap
Tao, J., Luttrell, T., & Batzill, M. (2011) · Nature Chemistry · doi:10.1038/nchem.1006 · Cited by 454 · see citing works
Dubrovinsky, L., Dubrovinskaia, N., Swamy, V., et al. (2001) · Nature · doi:10.1038/35070650 · Cited by 348 · see citing works
Predicting Two-Dimensional Boron–Carbon Compounds by the Global Optimization Method
Luo, X., Yang, J., Liu, H., et al. (2011) · Journal of the American Chemical Society · doi:10.1021/ja2072753 · Cited by 284 · see citing works
Prediction of crystal structures from crystal chemistry rules by simulated annealing
Pannetier, J., Bassas, J., Rodríguez-Carvajal, J., & Caignaert, V. (1990) · Nature · doi:10.1038/346343a0 · Cited by 273 · see citing works
Pareto-based multi-objective differential evolution
Feng, X., Sanderson, A. C., & Graves, R. J. (2004) · doi:10.1109/cec.2003.1299757 · Cited by 269 · see citing works
First-principles structural design of superhard materials
Zhang, X., Wang, Y., Lv, J., et al. (2013) · The Journal of Chemical Physics · doi:10.1063/1.4794424 · Cited by 227 · see citing works
Towards Direct-Gap Silicon Phases by the Inverse Band Structure Design Approach
Xiang, H., Huang, B. Q., Kan, E., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.118702 · Cited by 179 · see citing works
Self-citationElectronic structure study of lightly Nb-doped TiO2 electrode for dye-sensitized solar cells
Tsvetkov, N., Ларина, Л. И., Shevaleevskiy, O. I., et al. (2011) · Energy & Environmental Science · doi:10.1039/c0ee00678e · Cited by 161 · see citing works
Photoemission and Bremsstrahlung Isochromat Spectroscopy Studies of TiO 2 (Rutile) and SrTiO 3
Tezuka, Y., Shin, S., Ishii, T., et al. (1994) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.63.347 · Cited by 160 · see citing works
Photo-electrochemical properties of the TiO2-Pt system in aqueous solutions
Ba̧k, T. (2002) · International Journal of Hydrogen Energy · doi:10.1016/s0360-3199(01)00090-8 · Cited by 124 · see citing works
High-pressure and high-temperature synthesis of the cubic TiO2 polymorph
Mattesini, M., de Almeida, J. S., Dubrovinsky, L., et al. (2004) · Physical Review B · doi:10.1103/physrevb.70.212101 · Cited by 117 · see citing works
Gao, H., Li, X., Lv, J., & Liu, G. (2013) · The Journal of Physical Chemistry C · doi:10.1021/jp403241d · Cited by 75 · see citing works
Cubic TiO2 as a potential light absorber in solar-energy conversion
Mattesini, M., de Almeida, J. S., Dubrovinsky, L., et al. (2004) · Physical Review B · doi:10.1103/physrevb.70.115101 · Cited by 70 · see citing works
PDECO: Parallel differential evolution for clusters optimization
Chen, Z., Jiang, X., Li, J., Li, S., & Wang, L. (2013) · Journal of Computational Chemistry · doi:10.1002/jcc.23235 · Cited by 54 · see citing works
What are grain boundary structures in graphene?
Li, Z., Li, Z., Cao, H.-Y., et al. (2014) · Nanoscale · doi:10.1039/c3nr06823d · Cited by 39 · see citing works
Pickard, C. J., & Needs, R. J. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2812268 · Cited by 32 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Nandy, A., Duan, C., Taylor, M. G., Liu, F., Steeves, A. H., & Kulik, H. J. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00347 · Cited by 358 · see citing works
Machine Learning for the Discovery, Design, and Engineering of Materials.
Duan, C., Nandy, A., & Kulik, H. J. (2022) · Annual Review of Chemical and Biomolecular Engineering · doi:10.1146/annurev-chembioeng-092320-120230 · Cited by 69 · see citing works
- Authors
- Chen, H.-Z., Zhang, Y.-Y., Gong, X., & Xiang, H.
- Affiliations
- Fudan University (CN)
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, and Department of Physics, Fudan University, Shanghai 200433, P. R. China
- Corresponding author
- Xiang, Hongjun
- Venue
- The Journal of Physical Chemistry C
- Publisher
- American Chemical Society (ACS)
- Published
- 2014-01-23
- Volume
- 118
- Issue
- 5
- Pages
- 2333-2337
- ISSN
- 1932-7447 (ISSN-L)
- 1932-7455
- OpenAlex
- W2144112951
- Cited by
- 40
- References
- 31
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 6 · 2023: 5 · 2022: 4 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 2 · 2017: 4 · 2016: 2 · 2015: 3 · 2014: 2
- FWCI
- 1.21
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Journal of Physical Chemistry C (publishedVersion)
- Funders
- National Natural Science Foundation of China
- Topics
- Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › TiO2 Photocatalysis and Solar Cells
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Keywords
- TiO2 polymorphs, low band gap, multi-objective differential evolution, global optimization, Pnma phase, rutile, anatase, formation energy, phonon dispersion, thermal stability, solar cells, photoelectrochemical water splitting, optical properties
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review