1510Accesses
99Citations
4 Altmetric
Abstract
Ab initio density functional theory calculations of the relative stability of the anatase and rutile polymorphs of TiO2 were carried out using all-electron atomic orbitals methods with local density approximation. The rutile phase exhibited a moderate margin of stability of ~ 3 meV relative to the anatase phase in pristine material. From computational analysis of the formation energies of Si, Al, Fe and F dopants of various charge states across different Fermi level energies in anatase and in rutile, it was found that the cationic dopants are most stable in Ti substitutional lattice positions while formation energy is minimised for F− doping in interstitial positions. All dopants were found to considerably stabilise anatase relative to the rutile phase, suggesting the anatase to rutile phase transformation is inhibited in such systems with the dopants ranked F > Si > Fe > Al in order of anatase stabilisation strength. Al and Fe dopants were found to act as shallow acceptors with charge compensation achieved through the formation of mobile carriers rather than the formation of anion vacancies.
This is a preview of subscription content,log in via an institution to check access.
Access this article
Subscribe and save
- Starting from 10 chapters or articles per month
- Access and download chapters and articles from more than 300k books and 2,500 journals
- Cancel anytime
Buy Now
Price includes VAT (Japan)
Instant access to the full article PDF.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, books and news in related subjects, suggested using machine learning.References
Fujihara K, Ohno T, Matsumura M (1998) Splitting of water by electrochemical combination of two photocatalytic reactions on TiO2 particles. J Chem Soc Faraday Trans 94: 3705–3709
Fujishima A, Honda K (1972) Electrochemical photolysis of water at a semiconductor electrode. Nature 238: 37–38
Ni M, Leung M, Leung D, Sumathy K (2007) A review and recent developments in photocatalytic water-splitting using TiO2 for hydrogen production. Renew Sustain Energy Rev 11: 401–425
Fujishima A, Rao TN, Tryk DA (2000) Titanium dioxide photocatalysis. J Photochem Photobiol C Photochem Rev 1: 1–21
Balasubramanian G, Dionysiou DD, Suidan MT, Baudin I, Lan JM (2004) Evaluating the activities of immobilized TiO2 powder films for the photocatalytic degradation of organic contaminants in water. Appl Catal B Environ 47: 73–84
Byrne JA, Eggins BR, Brown NMD, McKinney B, Rouse M (1998) Immobilisation of TiO2 powder for the treatment of polluted water. Appl Catal B Environ 17: 25–36
Hur J, Koh Y (2002) Bactericidal activity and water purification of immobilized TiO 2 photocatalyst in bean sprout cultivation. Biotechnol Lett 24: 23–25
Mills A, Davies RH, Worsley D (1993) Water purification by semiconductor photocatalysis. Chem Soc Rev 22: 417–434
Carneiro JO, Teixeira V, Portinha A, Magalhaes A, Countinho P, Tavares CJ (2007) Iron-doped photocatalytic TiO2 sputtered coatings on plastics for self-cleaning applications. Mater Sci Eng B 138: 144–150
Mills A, Hodgen S, Lee SK (2004) Self-cleaning titania films: an overview of direct, lateral and remote photo-oxidation processes. Res Chem Intermed 31: 295–308
Parkin IP, Palgrave RG (2005) Self-cleaning coatings. J Mater Chem 15: 1689–1695
Paz Y, Heller A (1997) Photo-oxidatively self-cleaning transparent titanium dioxide films on soda lime glass: the deleterious effect of sodium contamination and its prevention. J Mater Res 12: 2759
Ditta I, Steele A, Liptrot C, Tobin J, Tyler H, Yates H, Sheel D, Foster H (2008) Photocatalytic antimicrobial activity of thin surface films of TiO2, CuO and TiO2/CuO dual layers on Escherichia coli and bacteriophage T4. Appl Microbiol Biotechnol 79: 127–133
Hajkova P, Spatenka P, Horsky J, Horska I, Kolouch A (2007) Photocatalytic effect of TiO2 films on viruses and bacteria. Plasma Process Polym 4: S397–S401
Mitoraj D, Janczyk A, Strus M, Kisch H, Stochel G, Heczko PB, Macyk W (2007) Visible light inactivation of bacteria and fungi by modified titanium dioxide. Photochem Photobiol Sci 6: 642–648
Barzykin AV, Tachiya M (2002) Mechanism of charge recombination in dye-sensitized nanocrystalline semiconductors: random flight model. J Phys Chem B 106: 4356–4363
Gratzel M (2005) Solar energy conversion by dye-sensitized photovoltaic cells. Inorg Chem 44: 6841–6851
Huang SY, Schlichthorl G, Nozik AJ, Gratzel M, Frank AJ (1997) Charge recombination in dye-sensitized nanocrystalline TiO2 solar cells. J Phys Chem B 101: 2576–2582
O’Regan B, Gratzel M (1991) A low-cost, high-efficiency solar cell based on dye-sensitized colloidal TiO2 films. Nature 353: 737–739
Anpo M, Che M (1999) Applications of photoluminescence techniques to the characterization of solid surfaces in relation to adsorption, catalysis, and photocatalysis. Adv Catalysis 44: 119–257
Miyashita K, Kuroda S, Tajima S, Takehira K, Tobita S, Kubota H (2003) Photoluminescence study of electron–hole recombination dynamics in the vacuum-deposited SiO2/TiO2 multilayer film with photo-catalytic activity. Chem Phys Lett 369: 225–231
Anpo M (1997) Photocatalysis on titanium oxide catalysts: approaches in achieving highly efficient reactions and realizing the use of visible light. Catal Surv Japan 1: 169–179
Lee MC, Choi W (2002) Solid phase photocatalytic reaction on the soot/TiO2 interface: the role of migrating OH radicals. J Phys Chem B 106: 11818–11822
Lee SK, McIntyre S, Mills A (2004) Visible illustration of the direct, lateral and remote photo catalytic destruction of soot by titania. J Photochem Photobiol A 162: 203–206
Daude N, Gout C, Jouanin C (1977) Electronic band structure of titanium dioxide. Phys Rev B 15: 3229–3235
Madhusudan Reddy K, Manorama SV, Ramachandra Reddy A (2003) Bandgap studies on anatase titanium dioxide nanoparticles. Mater Chem Phys 78: 239–245
Morikawa T, Asahi R, Ohwaki T, Aoki K, Taga Y (2001) Band-gap narrowing of titanium dioxide by nitrogen doping. Jpn J Appl Phys Part 2 Lett 40: 561–563
Sclafani A, Herrmann JM (1996) Comparison of the photoelectronic and photocatalytic activities of various anatase and rutile forms of titania. J Phys Chem 100: 13655–13661
Hanaor D, Sorrell CC (2011) Review of the anatase to rutile phase transformation. J Mater Sci 46: 855–874
Gopal M, Moberly Chan WJ, De Jonghe LC (1997) Room temperature synthesis of crystalline metal oxides. J Mater Sci 32: 6001–6008
Bakardjieva S, Subrt J, Stengl V, Dianez MJ, Sayagues MJ (2005) Photoactivity of anatase–rutile TiO2 nanocrystalline mixtures obtained by heat treatment of homogeneously precipitated anatase. Appl Catal B: Environ 58: 193–202
Hanaor D, Triani G, Sorrell CC (2011) Morphology and photocatalytic activity of highly oriented mixed phase titanium dioxide thin films. Surf Coat Technol 205: 3658–3664
Hurum DC, Agrios AG, Gray KA, Rajh T, Thurnauer MC (2003) Explaining the enhanced photocatalytic activity of Degussa P25 mixed-phase TiO2 using EPR. J Phys Chem B 107: 4545–4549
Ohno T, Sarukawa K, Matsumura M (2002) Crystal faces of rutile and anatase TiO2 particles and their roles in photocatalytic reactions. New J Chem 26: 1167–1170
Ohno T, Tokieda K, Higashida S, Matsumura M (2003) Synergism between rutile and anatase TiO2 particles in photocatalytic oxidation of naphtalene. Appl Catal A 244: 383–391
Testino A, Bellobono IR, Buscaglia V, Canevali C, D’Arienzo M, Polizzi S, Scotti R, Morazzoni F (2007) Optimizing the photocatalytic properties of hydrothermal TiO2 by the control of phase composition and particle morphology: a systematic approach. J Am Chem Soc 129: 3564–3575
Kominami H, Ishii Y, Kohno M, Konishi S, Kera Y, Ohtani B (2003) Nanocrystalline brookite-type titanium (IV) oxide photocatalysts prepared by a solvothermal method: correlation between their physical properties and photocatalytic activities. Catal Lett 91: 41–47
Ohtani B, Handa J, Nishimoto S, Kagiya T (1985) Highly active semiconductor photocatalyst: extra-fine crystallite of brookite TiO2 for redox reaction in aqueous propan-2-ol and/or silver sulfate solution. Chem Phys Lett 120: 292–294
Hu Y, Tsai HL, Huang CL (2003) Effect of brookite phase on the anatase–rutile transition in titania nanoparticles. J Eur Ceram Soc 23: 691–696
Wang H, Lewis JP (2006) Second-generation photocatalytic materials: anion-doped TiO2. J Phys Condens Matter 18: 421–434
Hanaor D, Michelazzi M, Chenu J, Leonelli C, Sorrell CC (2011) The effects of firing conditions on the properties of electrophoretically deposited titanium dioxide films on graphite substrates. J Eur Ceram Soc 31: 2877–2885
Liu G, Wang L, Yang HG, Cheng HM, Lu GQM (2009) Titania-based photocatalysts—crystal growth, doping and heterostructuring. J Mater Chem 20: 831–843
Kudo A, Miseki Y (2008) Heterogeneous photocatalyst materials for water splitting. Chem Soc Rev 38: 253–278
Burns A, Li W, Baker C, Shah SI (2002) Sol–gel synthesis and characterization of neodymium-ion doped nanostructured titania thin films. Mater Res Soc Symp Proc 703: 5.2.1–5.2.6
Batzill M, Morales EH, Diebold U (2006) Influence of Nitrogen doping on the defect formation and surface properties of TiO2 rutile and anatase. Phys Rev Lett 96: 26103
Xin B, Ren Z, Wang P, Jing L, Fu H, Liu J (2007) Study on the mechanisms of photoinduced carriers separation and recombination for Fe3+TiO2 photocatalysts. Appl Surf Sci 253: 4390–4395
Sun B, Vorontsov AV, Smirniotis PG (2003) Role of platinum deposited on TiO2 in phenol photocatalytic oxidation. Langmuir 19: 3151–3156
Nagaveni K, Hegde MS, Ravishankar N, Subbanna GN, Madrass G (2004) Synthesis and structure of nanocrystalline TiO2 with lower band gap showing high photocatalytic activity. Langmuir 20: 2900–2907
Serpone N (2006) Is the band gap of pristine TiO2 narrowed by anion-and cation-doping of titanium dioxide in second-generation photocatalysts?. J Phys Chem B 110: 24287–24293
Umebayashi T, Yamaki T, Itoh H, Asai K (2002) Band gap narrowing of titanium dioxide by sulfur doping. Appl Phys Lett 81: 454
Baiju KV, Sibu CP, Rajesh K, Pillai PK, Mukundan P, Warrier KGK, Wunderlich W (2005) An aqueous sol–gel route to synthesize nanosized lanthana-doped titania having an increased anatase phase stability for photocatalytic application. Mater Chem Phys 90: 123–127
Kim D, Kim T, Hong K (1999) Low-firing of CuO-doped anatase. Mater Res Bull 34: 771–781
Kim J, Song KC, Foncillas S, Pratsinis S (2001) Dopants for synthesis of stable bimodally porous titanis. J Eur Ceram Soc 21: 2863–2872
Reidy DJ, Holmes JD, Nagle C, Morris MA (2005) A highly thermally stable anatase phase prepared by doping with zirconia and silica coupled to a mesoporous type synthesis technique. J Mater Chem 15(34): 3494–3500
Sharma SD, Singh D, Saini K, Kant C, Sharma V, Jain SC, Sharma CP (2006) Sol–gel derived super-hydrophilic nickel doped TiO2 film as an active photocatalyst. Appl Catal A 314(1): 40–46
Mackenzie KJD (1975) Calcination of titania V: kinetics and mechanism of the anatase–rutile transformation in the presence of additives. Transac J Br Ceram Soc 74: 77–84
Shannon RD, Pask JA (1965) Kinetics of the anatase–rutile transformation. J Am Ceram Soc 48: 391–398
Kohn W, Sham LJ (1965) Self-consistent equations including exchange and correlation effects. Phys Rev 140(4A): 1133–1138
Sousa SF, Fernandes PA, Ramos MJ (2007) General performance of density functionals. J Phys Chem A 111: 10439–10452
Parr RG, Yang W (1994) Density-functional theory of atoms and molecules. Oxford University Press, New York, USA
Delley B (1990) An all-electron numerical method for solving the local density functional for polyatomic molecules. J Chem Phys 92: 508–517
Delley B (2000) From molecules to solids with the DMol(3) approach. J Chem Phys 113: 7756–7764
Perdew JP, Wang Y (1992) Accurate and simple analytic representation of the electron gas correlation energy. Phys Rev B 45: 13244–13249
Becke AD (1993) Density-functional thermochemistry III. The role of exact exchange. J Chem Phys 98: 5648–5652
Bloch F (1929) Über die quantenmechanik der elektronen in kristallgittern. Z für Physik A Hadrons Nuclei 52: 555–600
Monkhorst HJ, Pack JD (1976) Special points for Brillouin-zone integrations. Phys Rev B 13: 5188–5192
Zhu Z, Shima N, Tsukada M (1989) Electronic states of Si (100) reconstructed surfaces. Phys Rev B 40: 11868
Shanno D, Kettler P (1970) Optimal conditioning of quasi-Newton methods. Math Comput 24: 657–664
Hine NDM, Robinson M, Haynes PD, Skylaris CK, Payne MC, Mostofi AA (2011) Accurate ionic forces and geometry optimization in linear-scaling density-functional theory with local orbitals. Phys Rev B 83: 195102
Godbout N, Salahub DR, Andzelm J, Wimmer E (1992) Optimization of Gaussian-type basis sets for local spin density functional calculations. Part I. Boron through neon, optimization technique and validation. Can J Chem 70: 560–571
Curtiss LA, Carpenter JE, Raghavachari K, Pople JA (1992) Validity of additivity approxiamations in Gaussian theory. J Chem Phys 96: 9030–9034
Cromer DT, Herrington K (1955) The structures of anatase and rutile. J Am Chem Soc 77: 4708–4709
Na-Phattalung S, Smith MF, Kim K, Du MH, Wei SH, Zhang SB, Limpijumnong S (2006) First-principles study of native defects in anatase TiO2. Phys Rev B 73(12): 125205
Smith SJ, Stevens R, Liu S, Li G, Navrotsky A, Boerio-Goates J, Woodfield BF (2009) Heat capacities and thermodynamic functions of TiO2 anatase and rutile: analysis of phase stability. Am Mineral 94: 236
Zhang H, Banfield JF (1998) Thermodynamic analysis of phase stability of nanocrystalline titania. J Mater Chem 8: 2073–2076
Vande Walle CG, Neugebauer J (2004) First-principles calculations for defects and impurities: applications to III-nitrides. J Appl Phys 95: 3851–3879
Janotti A, Vande Walle CG (2006) Hydrogen multicentre bonds. Nat Mater 6: 44–47
Muscat J, Swamy V, Harrison NM (2002) First-principles calculations of the phase stability of TiO2. Phys Rev B 65: 224112-1–224112-16
Stull DR, Prophet H (1971) JANAF thermochemical tables. NBS STP No 37, Washington DC, p 1141
Navrotsky A, Kleppa OJ (1967) Enthalpy of the anatase–rutile transformation. J Am Ceram Soc 50: 626
Akhtar MK, Pratsinis SE, Mastrangelo SVR (1992) Dopants in vapor-phase synthesis of titania powders. J Am Ceram Soc 75: 3408–3416
Chen CH, Kelder EM, Schoonman J (1999) Electrostatic sol–spray deposition (ESSD) and characterisation of nanostructured TiO2 thin films. Thin Solid Films 342: 35–41
Okada K, Yamamoto N, Kameshima Y, Yasumori A (2001) Effect of silica additive on the anatse to rutile phase transition. J Am Ceram Soc 84: 1591–1596
Reidy DJ, Holmes JD, Morris MA (2006) Preparation of a highly thermally stable titania anatase phase by addition of mixed zirconia and silica dopants. Ceram Int 32: 235–239
Zhang YH, Reller A (2002) Phase transformation and grain growth of doped nanosized titania. Mater Sci Eng C 19: 323–326
Yang J, Ferreira JMF (1998) Inhibitory effect of the Al2O3–SiO2 mixed additives on the anatase–rutile phase transformation. Mater Lett 36: 320–324
Vargas S, Arroyo R, Haro E, Rodriguez R (1999) Effect of cationic dopants on the phase transition temperature of titania prepared by the sol–gel method. J Mater Res 14: 3932–3937
Janes R, Knightley LJ, Harding CJ (2004) Structural and spectroscopic studeis of iron (iii) doped titania powders. Dyes Pigments 62: 199–212
Iida Y, Ozaki S (1961) Grain growth and phase transformation of titanium oxide during calcination. J Am Ceram Soc 44: 120–127
MacKenzie KJD (1975) Calcination of titania IV. Effect of additives on the anatase–rutile transformation. Transac J Br Ceram Soc 74: 29–34
Wang ZL, Yin JS, Mo WD, Zhangs ZJ (1997) In-situ analysis of valence conversion in transition metal oxides using electron energy-loss spectroscopy. J Phys Chem B 101: 6793–6798
Heald EF, Weiss CW (1972) Kinetics and mechanism of the anatase/rutile transformation as catalyzed by ferric oxide and reducing conditions. Am Mineral 57: 10–23
Gennari FC, Pasquevich DM (1998) Kinetics of the anatase rutile transformation in TiO2 in the presence of Fe2O3. J Mater Sci 33: 1571–1578
Takahashi Y, Matsuoka Y (1988) Dip-coating of TiO2 films using a sol derived from Ti (O–i–Pr) 4-diethanolamine-H2 O–i–PrOH system. J Mater Sci 23: 2259–2266
Yu JC, Yu J, Ho W, Jiang Z, Zhang L (2002) Effects of F-doping on the photocatalytic activity and microstructures of nanocrystalline TiO2 powders. Chem Mater 14: 3808–3816
Author information
Authors and Affiliations
School of Materials Science and Engineering, University of New South Wales, Sydney, NSW, 2052, Australia
Dorian A. H. Hanaor, Mohammed H. N. Assadi, Sean Li, Aibing Yu & Charles C. Sorrell
- Dorian A. H. Hanaor
Search author on:PubMed Google Scholar
- Mohammed H. N. Assadi
Search author on:PubMed Google Scholar
- Sean Li
Search author on:PubMed Google Scholar
- Aibing Yu
Search author on:PubMed Google Scholar
- Charles C. Sorrell
Search author on:PubMed Google Scholar
Corresponding author
Correspondence toDorian A. H. Hanaor.
Rights and permissions
About this article
Cite this article
Hanaor, D.A.H., Assadi, M.H.N., Li, S.et al. Ab initio study of phase stability in doped TiO2 .Comput Mech50, 185–194 (2012). https://doi.org/10.1007/s00466-012-0728-4
Received:
Accepted:
Published:
Issue date:
Share this article
Anyone you share the following link with will be able to read this content:
Sorry, a shareable link is not currently available for this article.
Provided by the Springer Nature SharedIt content-sharing initiative
Keywords
Profiles
- Aibing YuView author profile


