Abstract
The thickness of the anodic titanium oxide film formed on titanium in 0.5 M H2SO4 at 22 °C was measured by ellipsometry, and the Forouhi interband single-layer model was used to analyze the data. The anodizing constant was determined experimentally to be 2.75 nm/V, which is in good agreement with literature data, and indicates that the anodizing constants for barrier layers of anodic oxide films formed on a wide variety of metals and alloys lie within the range of 2.2–3.0 nm/V. Using a value for the polarizability of the barrier layer/solution interface obtained via electrochemical impedance spectroscopy (EIS) together with the anodizing constant, the electric field is estimated to be a voltage-independent 1.82 × 106 V/cm. For the anodic oxide film formed on titanium in 0.5 M H2SO4 solution by galvanostatic polarization, the thickness was maintained to be virtually constant even though the oxygen vacancy concentration (donor density) analyzed by the Mott-Schottky relation varied over a wide range, as a function of the film formation rate (current density), with higher donor densities being found for lower current densities. The increase in the donor density leads to a decrease in the modulus of the impedance.
Similar content being viewed by others
References
Henrich VE, Cox PA (1994) The surface science of metal oxides. Cambridge University Press, Cambridge, UK
Ohtsuka T, Masudo M, Sato N (1985) Ellipsometric Study of anodic oxide films on titanium in hydrochloric acid, sulfuric acid, and phosphate solution. J Electrochem Soc 132(4):787–792
Ellerbrock D (1998) Defect characterization of titanium passive films, Ph. D. Dissertation. Penn State Univ, University Park, PA
Diebold U (2003) The surface science of titabium dioxide. Surf Sci Rep 48(5-8):53–229
Kofstad P (1972) Nonstoichiometry, diffusion, and electrical conductivity in binary metal oxides. Wiley, New York
Arsov LD, Kormann C, Plieth W (1991) In Situ Raman Spectra of Anodically Formed Titanium Dioxide Layers in Solutions of H2SO4, KOH, and HNO3. J Electrochem Soc 138(10):2964–2970
Zhu Y-C (1994) Electrochemical and surface analysis of anodic oxide film on titanium and stochastic analysis of pit generation processes on anodized titanium, Ph. D. Dissertation. Osaka University, Osaka, Japan
Bondarenko AS, Ragoisha AG (2005) Variable Mott-Schottky plots acquisition by potentiodynamic electrochemical impedance spectroscopy. J Solid State Electrochem 9(12):845–849
Triana CA, Granqvist CG, Niklasson GA (2016) Optical absorption and small-polaron hopping in oxygen deficient and lithium-ion-intercalated amorphous titanium oxide films. J Appl Phys 119(1):015701
B-W. Roh,(2007) “Defect properties of anodic oxide films on titanium and impact of oxygen vacancy on oxygen electrode reactions.”, Ph.D. Dissertation, Penn. State University
Di Quarto F, Di Franco F, Miraghaei S, Santamaria M, La Mantiac F (2017) The amorphous semiconductor Schottky barrier approach to study the electronic properties of anodic films on Ti. J Electrochem Soc 164(9):C516–C525
Iharaa T, Miyoshia M, Iriyamab Y, Matsumotoc O, Sugiharad S (2003) Visible-light-active titanium oxide photocatalyst realized by an oxygen-deficient structure and by nitrogen doping. Appl Catal B Environ 42(4):403–409
Shin J, Joo J, Samuelis D, Maier J (2012) Oxygen-deficient TiO2−δ nanoparticles via hydrogen reduction for high rate capability lithium batteries. Chem Mater 24(3):543–551
Tang H, Prasad K, Sanjinès R, Schmid PE, Lévy F (1994) Electrical and optical properties of TiO2 anatase thin films. J Appl Phys 75(4):2042–2047
Lee H-Y, Clark SJ, Robertson J (2011) First-principles study of oxygen deficiency in rutile titanium dioxide. Mater Res Soc Symp Proc 1352
Feng X, Wang P, Qian JJ, Wang C, Ao Y (2018) Oxygen vacancies and phosphorus codoped black titania coated carbon nanotube composite photocatalyst with efficient photocatalytic performance for the degradation of acetaminophen under visible light irradiation. Chem Eng J 352:947–956
Pelaez M, Nolan NT, Pillai SC, Seery MK, Falaras P, Kontos AG, Dunlop PSM, Hamilton JWJ, Byrne J, O’Shea K, Entezari MH, Dionysiou DD (2012) A review on the visible light active titanium dioxide photocatalysts for environmental applications. Appl Catal B Environ 125:331–349
El-Basiouny MS, Mazhar AA (1982) Electrochemical behavior of passive layers on titanium. Corrosion 38(5):237–240
Sun L, Hou P (2004) Spectroscopic ellipsometry study on e-beam deposited titanium dioxide films. Thin Solid Films 455-456:525–529
Tompkins HG (1993) A user’s guide to ellipsometry. Academic Press, Boston
Macdonald DD (1992) The point defect model for the passive state. J Electrochem Soc 139(12):3434–3449
Macdonald DD, Engelhardt GR (2010) The point defect model for bi-layer passive films. ECS Trans 28(24):123–144
Macdonald DD (2011). (Invited Review) The history of the point defect model for the passive state: a brief review of film growth aspects. Electrochim Acta 56(4):1761–1772
Macdonald DD (2012) The passive state in our reactive metals-based civilization. Arab J Sci Eng 37(5):1143–1185
Balachandran U, Eror NG (1988) Electrical conductivity in non-stoichiometric titanium dioxide at elevated temperatures. J Mater Sci 23(8):2676–2682
Millot F, Blanchin M-G, Tetot R, Marucco J-F, Poumellec B, Picard C, Touzelin B (1987) High temperature nonstoichiometric rutile TiO2−x. Progress Solid State Chem 17(4):263–293
B.-W. Roh (2019) Passivity of titanium. Part II, The defect structure of the anodic oxide film. J Solid State Electrochem (in press)
Forouhi AR, Bloomer I (1986) Optical dispersion relations for amorphous semiconductors and amorphous dielectrics. Phys Rev B 34(10):7018–7026
Forouhi AR, Bloomer I (1988) Optical properties of crystalline semiconductors and dielectrics. Phys Rev B 38(3):1865–1874
Kozlowski M, Smyrl WH, Atanasoska L, Atanasoski R (1989) Local film thickness and photoresponse of thin anodic TiO2 films on polycrystalline titanium. Electrochim Acta 34(12):1763–1768
B.-W. Roh,(2019) “Passivity of titanium. Part IV, impedance behavior considering only oxygen deficiency”, This Journal, to be submitted
Ohtsuka T, Otsuki T (1998) The influence of the growth rate on the semiconductive properties of titanium anodic oxide films. Corrosion Sci 40(6):951–958
Roh B-W, Macdonald DD (2007) Effect of oxygen vacancies in anodic titanium oxide films on the kinetics of the oxygen electrode reaction. Russ J Electrochem 43(2):125–135
James WJ, Straumanis ME (1976) Encyclopedia of electrochemistry of the elements. Marcel Dekker, New York
S. Roy Morrison,(1980) Electrochemistry at semiconductor and oxidized metal electrodes, Springer
Kim C-H, Pyun S-I, Lee E-J (1991) Donor distribution over anodically passivating crystalline and amorphous TiO2 films. Mater Lett 10:387–391
Houlihan JF, Mulay LN (1974) Electronic properties and defect structure of Ti407: correlation of magnetic susceptibility, electrical conductivity, and structural parameters via EPR spectroscopy. Phys Status Solidi B 61(2):647–657
Leitner K, Schultze JW, Stimming U (1986) Photoelectrochemical investigations of passive films on titanium electrodes. J Electrochem Soc 133(8):1561–1568
Marsh J, Gorse D (1998) A photoelectrochemical and ac impedance study of anodic titanium oxide films. Electrochim Acta 43(7):659–670
Kudelka S, Michaelis A, Schultze JW (1995) Electrochemical characterisation of oxide layers on single grains of a polycrystalline Ti‐sample. Ber Bunsenges Phys Chem 99(8):1020–1027
Torresi RM, Camara OR, Pauli CPD, Giordano MC (1987) Hydrogen evolution reaction on anodic titanium oxide films. Electrochim Acta 32(9):1291–1301
Blackwood DJ, Peter LM (1989) The influence of growth rate on the properties of anodic oxide films on titanium. Electrochim Acta 34(11):1505–1511
Acknowledgments
Investigator no. 2 gratefully acknowledges the partial support of this work by FUTURE (Fundamental Understanding of Transport Under Reactor Extremes), an Energy Frontier Research Center funded by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences (BES).
Funding
The study was financially supported by the US Department of Energy through Grant No. DE-FG02-01ER15238 and by the Hyundai Motor Company.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Passivity of titanium, part 1: film growth model diagnostics was published in (2014) J Solid State Electrochem 18:1485-1493; part 2: the defect structure of the anodic oxide film was published in (2019) J Solid State Electrochem https://doi.org/10.1007/s10008-019-04254-0.
Rights and permissions
About this article
Cite this article
Roh, B., Macdonald, D.D. The passivity of titanium—part III: characterization of the anodic oxide film. J Solid State Electrochem 23, 2001–2008 (2019). https://doi.org/10.1007/s10008-019-04255-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10008-019-04255-z