Advances in Materials Science and Engineering

Volume 2013, Article ID 434975, 10 pages

http://dx.doi.org/10.1155/2013/434975

## Influence of pH and Fluoride Species on the Corrosion Behavior of Ti-xNb-13Zr Alloys in Ringer’s Solution

Departamento de Engenharia de Materiais, Escola de Engenharia de Lorena, Universidade de São Paulo, 12600 000 Lorena, SP, Brazil

Received 24 May 2013; Accepted 5 October 2013

Academic Editor: Luigi Nicolais

Copyright © 2013 A. Robin and O. A. S. Carvalho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Ti-Nb-Zr alloys are interesting materials for implant applications due to the atoxic character of the Nb and Zr alloying elements and to their low elastic modulus when compared to CP-Ti. In this work, the corrosion behaviour of CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr alloys was investigated in Ringer’s solution of pH 2, 5, and 7.5 without fluorides and containing 1000 ppm F at 37°C, through open-circuit potential measurements, potentiodynamic polarization, and electrochemical impedance spectroscopy. The four materials showed a passive behavior in Ringer's solution without fluorides for pH ranging from 2 to 7.5 and in Ringer's solution of pH 5 and 7.5 containing 1000 ppm F but presented an active behavior in Ringer's solution of pH 2 containing fluorides. The corrosion resistance of all materials in Ringer's solution decreases with both decrease of pH and addition of fluorides. Ti-13Nb-13Zr alloy is a little more corrosion resistant than the Ti-5Nb-13Zr and Ti-20Nb-13Zr alloys and, in most conditions, the Ti-Nb-Zr alloys present higher corrosion resistance than CP-Ti.

#### 1. Introduction

Commercially pure Ti (CP-Ti) is widely used in restorative surgery as dental and orthopedic implants, due to its high corrosion resistance in physiological media and biocompatibility [1]. Nevertheless, some studies showed that titanium release in the organism can lead from local discoloration of tissue to serious inflammatory reactions [2, 3]. Moreover, the Young modulus of grades 1 to 4 CP-Ti (nearly 100 GPa) is higher than that of bone (30 GPa). Due to this difference in rigidity, there is a poor load sharing between the bone and the implant and bone resorption may occur. These negative aspects of CP-Ti led to the development of more corrosion-resistant, more biocompatible, and more wear-resistant titanium alloys with better biomechanical compatibility.

Among these materials, Ti-Nb-Zr ternary alloys are promising since they present a lower Young’s modulus (60–90 GPa) when compared to CP-Ti. The Ti-13Nb-13Zr alloy was the most studied material of this family [4–20]. It was shown to be passive in simulated physiological solutions, such as Ringer’s solution [4, 10, 12, 16], Hank solutions [8, 13–15], artificial saliva [9], and phosphate-buffered saline solution (PBS) [5–7], but active in hydrochloric acid solutions [4]. The corrosion resistance of the Ti-13Nb-13Zr alloy was generally slightly higher than or equal to that of Ti in both saline and acid solutions [4, 8, 14, 15]. The microstructure of the Ti-13Nb-13Zr alloy which is dependent on both heat and mechanical treatments [21] affects its corrosion resistance [4, 10]. Few works are available on the corrosion behavior of other Ti-Nb-Zr ternary alloys [8, 16, 22]. The Ti-5Nb-13Zr and Ti-20Nb-30Zr alloys were shown to be passive in Ringer’s solution and presented higher corrosion resistance than CP-Ti [16]. The Ti-4Nb-15Zr alloy was also passive in Hank’s solution and slightly less corrosion resistant than Ti-13Nb-13Zr [8]. The Ti-22Nb-6Zr alloy was passive in 0.9% NaCl solution and more corrosion resistant than Ti-22Nb [22].

It is common that the passive metals undergo localized corrosion (pitting or crevice corrosion) in chloride environment, such as physiological solutions, due to the development of occluded cells. The pH in these occluded cells reaches acidic values which can lead to the chemical dissolution of the protective film. In applications in dental restorations, the implants can be also in contact with fluoride species since the fluoride-based treatments are used to prevent the dental plaque formation and the caries development. The concentration of fluorides varies from nearly 1 ppm in drinking water, 200 ppm in mouth rinses, and 1000–1500 ppm in toothpastes to 10000–20000 ppm in gels, and the pH can range from neutral to acidic values.

The objective of this work was to study the influence of pH and fluoride concentration on the corrosion behavior of three Ti-xNb-13Zr alloys (, 13, and 20) in Ringer’s solution at 37°C. The study was based on electrochemical techniques. The results were compared with those obtained for CP-Ti under the same experimental conditions.

#### 2. Experimental

The materials used in this work were as-cast grade 1 CP-Ti and the experimental Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr alloys (wt%).

The Ti-Nb-Zr alloys were produced from commercially pure Ti, Zr, and Nb sheets by melting in an arc-furnace under argon atmosphere, heat-treated under vacuum at 1000°C for 1 h, water-quenched, cold-swaged (around 90% reduction in area), and afterwards heat-treated at 900°C (temperature above the transus temperature) for 30 min under vacuum and again water-quenched. The microstructures of all materials have been presented elsewhere [16]. Ti had a characteristic as-cast microstructure, with nonhomogeneous size distribution of phase grains and the Ti-Nb-Zr alloys showed a typical martensitic microstructure constituted of hexagonal martensite. The orthorhombic martensite is also present in Ti-20Nb-13Zr alloy.

Cylindrical test specimens (8 mm diameter and 15 mm length) were machined from the four materials and mounted in polytetrafluoroethylene (PTFE) holders. The cross section of the electrodes (0.5 cm^{2} area) was mechanically ground with emery paper up to 600 grit, rinsed with distilled water, and dried with acetone.

The solution was Ringer’s solution [23] with the following composition: 8.6 g NaCl + 0.3 g KCl + 0.33 g CaCl_{2}–2H_{2}O in 1000 mL deionized water. The natural pH of Ringer’s solution was 7.5. The solution was naturally aerated and the experiments were conducted without stirring. The temperature was maintained at 37°C using a thermostatic bath. The counter electrode was a square-shaped platinum sheet of 18 cm^{2} area. All potentials were referred to the saturated calomel electrode (SCE) potential (= + 0.242 V/SHE—standard hydrogen electrode). The fluoride species were added to Ringer’s solution using NaF P.A. salt. The pH was adjusted to 2 and 5 using dilute HCl solution.

Open-circuit potential (OCP), electrochemical impedance spectroscopy (EIS), and potentiodynamic polarization measurements were performed using the Electrochemical Interface SOLARTRON model 1287A and the Frequency Response Analyzer SOLARTRON model 1260 A, controlled by the Ecorr/Zplot SOLARTRON model 125587S software. Prior to polarization experiments, the working electrodes were immersed in Ringer’s solution for 3 h, taking the moment of immersion as zero time. Then, impedance measurements at OCP were performed using a sinusoidal signal of 10 mV amplitude and frequencies in the range of 0.1 Hz–100 kHz. Cathodic and anodic polarizations were then carried out potentiodynamically with a sweep rate of 0.16 mV/s. After each run, the samples were reground with emery papers to a 600-grit finish in order to remove any product formed on the metal surface which could affect the following tests, rinsed with distilled water, dried, and transferred quickly in the solution.

#### 3. Results and Discussion

##### 3.1. Corrosion Behavior in Ringer’s Solution without Fluorides

Figure 1 shows the variation of OCP for CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr in Ringer’s solution of pH 2, 5, and 7.5 without fluoride. The OCPs shift in the noble direction, which indicates the formation and growth of passive films on all materials. This is a general trend for Ti and Ti alloys in physiological solutions [4–10, 12–16].

The values of OCP measured after 3 h exposure are reported in Table 1. As expected, all these values are found in the stability region of TiO_{2} of the Ti-H_{2}O Pourbaix diagram [24] (Figure 2). Nevertheless, the Ti-5Nb-13Zr alloy is the less noble material, whereas CP-Ti is the nobler one (Table 1). It is not possible to compare the OCPs measured in this work with published data because the OCP values are highly dependent on the surface finish and heat treatments. For example, values ranging from −0.513 V to −0.064 V/SCE were reported for Ti-13Nb-13Zr alloy in Ringer’s solution [10].

Figure 3 presents the polarization curves of CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr in Ringer’s solution of pH 2, 5, and 7.5 without fluoride. Their shapes are similar which shows that the anodic and cathodic reactions occurring on all materials are the same. As no active-passive transition is observed, it is confirmed that all materials are spontaneously passive in Ringer’s solutions of pH ranging from 2 to 7.5. All materials remain passive at least up to 2.0 V/SCE. In some cases, an anodic peak is observed at nearly 1.7 V/SCE and has been attributed to some phase change in the passivating oxide film [4].

The corrosion current densities determined by Tafel extrapolation method and the passive current densities measured at 1.0 V/SCE in the passive region are reported in Figures 4(a) and 4(b), respectively. All the corrosion current densities are in the order of 10^{−7} A cm^{−2}, which depicts the high corrosion resistance of all materials in Ringer’s solutions of pH ranging from 2 to 7.5. The low values of the passive current densities (order of 10^{−6} A cm^{−2}) indicate the high stability of the passivating films. Comparable values were obtained for CP-Ti and Ti-13Nb-13Zr alloy in Hank’s solution [14, 25]. The Ti-13Nb-13Zr alloy is a little more corrosion resistant than the Ti-5Nb-13Zr, and Ti-20Nb-13Zr alloys in Ringer’s solution without fluorides (Figure 4(a)), which can be related to the lower Nb content of phase in Ti-5Nb-13Zr and the two phases + microstructure in Ti-20Nb-13Zr [16].

##### 3.2. Corrosion Behavior in Ringer’s Solution Containing Fluorides

Figure 5 shows the variation of OCP for CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr in Ringer’s solution of pH 2, 5, and 7.5 containing 1000 ppm fluorides. For pH 7.5, the OCPs shift in the noble direction, which indicates the formation and growth of passive films on all materials. The OCP values measured after 3 h exposure under this condition (Table 2) are found in the stability region of TiO_{2} of the Ti-H_{2}O Pourbaix diagram [24] (Figure 2), which depicts a passive behavior. In Ringer’s solution of pH 2, the OCPs stabilize to very negative values (Table 2) that are found in the stability region of Ti ions of the Ti-H_{2}O Pourbaix diagram [24] (Figure 2), indicating a spontaneous active behavior. For pH 5, although the OCP values are nearly −0.3 to −0.2 V less noble than the values obtained for pH 7.5 (Table 2), they are also found in the stability region of TiO_{2} (Figure 2), showing the passive behavior of all the materials.

Nakagawa et al. [26] show from OCP measurements of Ti-6Al-4V alloy in artificial saliva that there is a well-defined correlation between pH and fluoride concentration that determines the spontaneous (active or passive) behavior of the alloy. The combination of low pH and fluoride presence has been shown to enhance passive film dissolution on CP-Ti, Ti-6Al-4V, and Ti-Ta alloys [26–28].

The anodic polarization curves of CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr in Ringer’s solution of pH 5 and 7.5 containing 1000 ppm fluorides are characteristic of passive materials (Figure 6). Nevertheless, the anodic current densities measured for pH 5 present higher values, which is indicative of a lower stability of the passive films. In Ringer’s solution of pH 2, the anodic polarization curves present an active-passive transition, which corroborates the spontaneous active behavior of all materials at OCP under this condition. Similar results were obtained for Ti, Ti-6Al-4V, and Ti-23Ta alloys in artificial saliva containing 1000 ppm fluorides [28].

The corrosion current densities and the passive current densities measured at 1.0 V/SCE determined in Ringer’s solution of pH 7.5 are close to the values obtained in solutions without fluorides (Figure 4). This indicates that, in neutral solution, the presence of fluoride has little effect on the corrosion resistance and the stability of the passive films.

On the contrary, the corrosion current densities and the passive current densities increased nearly 1-2 and 2-3 orders of magnitude in Ringer’s solutions of pH 5 and pH 2, respectively, when compared to the values measured for pH 7.5 (Figure 4). Thus, in solutions containing fluorides, the corrosion resistance and the stability of the passive films decrease with decreasing pH. The same trend is observed for all materials.

When in the passive state (in Ringer’s solution of pH 5 and 7.5 containing 1000 ppm fluorides), the Ti-13Nb-13Zr alloy is also a little more corrosion resistant than the Ti-5Nb-13Zr and Ti-20Nb-13Zr alloys (Figure 4(a)).

The higher corrosiveness of low pH aqueous solution containing fluorides has been attributed to the presence of or HF species [29]. The concentrations of F^{−}, and HF are dependent on pH and total fluoride concentration and can be calculated from the equilibria constants and mass conservation equation [30]. Table 3 reports the calculated concentrations of F^{−}, , and HF for pH 2, 5, and 7.5 and 1000 ppm total fluoride concentration. It is clear that the active behavior of the materials in Ringer’s solution of pH 2 containing 1000 ppm F is related to the high concentration of HF.

##### 3.3. EIS Results

The Bode diagrams obtained at OCP in Ringer’s solution of pH 2, 5, and 7.5 without fluorides and of pH 7.5 containing 1000 ppm fluorides present a linear relation (slope close to −1) between log and log (Frequency) and a phase angle near −90° from the low to intermediate frequencies (Figures 7 and 8). For CP-Ti, this is limited to a narrower frequency range, which is indicative of a lower stability of the oxide film formed on CP-Ti (Figures 7(a) and 8(a)). All these results depict a predominantly capacitive behavior of the metal/solution interface, characteristic of passive materials. In Ringer’s solution of pH 5 containing fluorides, although the four materials are passive, the oxide layers are less capacitive, which can be related to their lower stability. Bode diagrams of the same shape and impedance values of the same order of magnitude were obtained for many other Ti alloys in physiological solutions [11, 31, 32].

Very low impedance values were measured in Ringer’s solution of pH 2 containing 1000 ppm fluorides, which confirms the active state of all materials under these conditions. Impedance values of few tens of Ω cm^{2} were also measured for Ti-23Ta alloy in artificial saliva of pH2 containing 1000 ppm fluorides [33] and for Ti and Ti-6Al-4V alloy in artificial saliva of pH3 containing 0.01 M NaF [34].

For comparison, the corrosion resistance of the materials can be estimated by the values of impedance modulus at low frequencies (Table 4). The impedance results confirm that the Ti-13Nb-13Zr alloy is a little more corrosion resistant than the Ti-5Nb-13Zr and Ti-20Nb-13Zr alloys. In most conditions, the Ti-Nb-Zr alloys presented higher corrosion resistance than CP-Ti.

#### 4. Conclusions

The corrosion behaviour of CP-Ti, Ti-5Nb-13Zr, Ti-13Nb-13Zr, and Ti-20Nb-13Zr alloys was investigated in Ringer’s solution of pH 2, 5, and 7.5 without fluorides and containing 1000 ppm F at 37°C. The results showed the following.(i)All materials present a passive behavior in Ringer’s solution without fluorides independently on the pH values.(ii)All materials present a passive behavior in Ringer’s solution of pH 5 and 7.5 containing fluorides.(iii)All materials present an active behavior in Ringer’s solution of pH 2 containing 1000 ppm fluorides, which was attributed to the presence of HF species.(iv)The corrosion resistance of all materials in Ringer’s solution decreases with both decrease of pH and addition of fluorides.(v)Ti-13Nb-13Zr alloy is a little more corrosion resistant than the Ti-5Nb-13Zr and Ti-20Nb-13Zr alloys and, in most conditions, the Ti-Nb-Zr alloys present higher corrosion resistance than CP-Ti.

#### Acknowledgment

The authors acknowledge Dr. Sandra G. Schneider (EEL-USP-Brazil) for supplying the Ti-Nb-Zr alloys.

#### References

- F. H. Jones, “Teeth and bones: applications of surface science to dental materials and related biomaterials,”
*Surface Science Reports*, vol. 42, no. 3–5, pp. 75–205, 2001. View at Publisher · View at Google Scholar - J. Black, H. Sherk, J. Bonini, W. R. Rostoker, and J. O. Galante, “Metallosis associated with a stable titanium-alloy femoral component in total hip replacement. A case report,”
*Journal of Bone and Joint Surgery A*, vol. 72, no. 1, pp. 126–130, 1990. View at Google Scholar · View at Scopus - H. C. Amstutz, P. Campbell, N. Kossovsky, and I. C. Clarke, “Mechanism and clinical significance of wear debris-induced osteolysis,”
*Clinical Orthopaedics and Related Research*, no. 276, pp. 7–17, 1991. View at Google Scholar · View at Scopus - S. Y. Yu and J. R. Scully, “Corrosion and passivity of Ti-13% Nb-13% Zr in comparison to other biomedical implant alloys,”
*Corrosion*, vol. 53, no. 12, pp. 965–976, 1997. View at Google Scholar · View at Scopus - M. A. Khan, R. L. Williams, and D. F. Williams, “
*In-vitro*corrosion and wear of titanium alloys in the biological environment,”*Biomaterials*, vol. 17, no. 22, pp. 2117–2126, 1996. View at Publisher · View at Google Scholar · View at Scopus - M. A. Khan, R. L. Williams, and D. F. Williams, “Conjoint corrosion and wear in titanium alloys,”
*Biomaterials*, vol. 20, no. 8, pp. 765–772, 1999. View at Publisher · View at Google Scholar · View at Scopus - M. A. Khan, R. L. Williams, and D. F. Williams, “The corrosion behaviour of Ti-6Al-4V, Ti-6Al-7Nb and Ti-13Nb-13Zr in protein solutions,”
*Biomaterials*, vol. 20, no. 7, pp. 631–637, 1999. View at Publisher · View at Google Scholar · View at Scopus - M. F. López, A. Gutiérrez, and J. A. Jiménez, “
*In vitro*corrosion behaviour of titanium alloys without vanadium,”*Electrochimica Acta*, vol. 47, no. 9, pp. 1359–1364, 2002. View at Publisher · View at Google Scholar - Z. Cai, T. Shafer, I. Watanabe, M. E. Nunn, and T. Okabe, “Electrochemical characterization of cast titanium alloys,”
*Biomaterials*, vol. 24, no. 2, pp. 213–218, 2003. View at Publisher · View at Google Scholar · View at Scopus - M. Geetha, U. K. Mudali, A. K. Gogia, R. Asokamani, and B. Raj, “Influence of microstructure and alloying elements on corrosion behavior of Ti-13Nb-13Zr alloy,”
*Corrosion Science*, vol. 46, no. 4, pp. 877–892, 2004. View at Publisher · View at Google Scholar · View at Scopus - A. K. Shukla and R. Balasubramaniam, “Effect of surface treatment on electrochemical behavior of CP Ti, Ti-6Al-4V and Ti-13Nb-13Zr alloys in simulated human body fluid,”
*Corrosion Science*, vol. 48, no. 7, pp. 1696–1720, 2006. View at Publisher · View at Google Scholar - N. T. C. Oliveira, E. A. Ferreira, L. T. Duarte, S. R. Biaggio, R. C. Rocha-Filho, and N. Bocchi, “Corrosion resistance of anodic oxides on the Ti-50Zr and Ti-13Nb-13Zr alloys,”
*Electrochimica Acta*, vol. 51, no. 10, pp. 2068–2075, 2006. View at Publisher · View at Google Scholar · View at Scopus - S. L. de Assis, S. Wolynec, and I. Costa, “Corrosion characterization of titanium alloys by electrochemical techniques,”
*Electrochimica Acta*, vol. 51, no. 8-9, pp. 1815–1819, 2006. View at Publisher · View at Google Scholar · View at Scopus - A. Choubey, B. Basu, and R. Balasubramaniam, “Electrochemical behavior of Ti-based alloys in simulated human body fluid environment,”
*Trends in Biomaterials and Artificial Organs*, vol. 18, no. 2, pp. 64–72, 2005. View at Google Scholar · View at Scopus - S. L. Assis and I. Costa, “Electrochemical evaluation of Ti-13Nb-13Zr, Ti-6Al-4V and Ti-6Al-7Nb alloys for biomedical application by long-term immersion tests,”
*Materials and Corrosion*, vol. 58, no. 5, pp. 329–333, 2007. View at Publisher · View at Google Scholar - A. Robin, O. A. S. Carvalho, S. G. Schneider, and S. Schneider, “Corrosion behavior of Ti-xNb-13Zr alloys in Ringer's solution,”
*Materials and Corrosion*, vol. 59, no. 12, pp. 929–933, 2008. View at Publisher · View at Google Scholar - I. Cvijović-Alagić, Z. Cvijović, S. Mitrović, V. Panić, and M. Rakin, “Wear and corrosion behaviour of Ti-13Nb-13Zr and Ti-6Al-4V alloys in simulated physiological solution,”
*Corrosion Science*, vol. 53, no. 2, pp. 796–808, 2011. View at Publisher · View at Google Scholar - K. S. Suresh, M. Geetha, C. Richard et al., “Effect of equal channel angular extrusion on wear and corrosion behavior of the orthopedic Ti-13Nb-13Zr alloy in simulated body fluid,”
*Materials Science and Engineering C*, vol. 32, no. 4, pp. 763–771, 2012. View at Publisher · View at Google Scholar · View at Scopus - L. T. Duarte, S. R. Biaggio, R. C. Rocha-Filho, and N. Bocchi, “Surface characterization of oxides grown on the Ti-13Nb-13Zr alloy and their corrosion protection,”
*Corrosion Science*, vol. 72, pp. 35–40, 2013. View at Publisher · View at Google Scholar - J. M. C. Moreno, C. Vasilescu, S. I. Drob, E. I. Neacsu, and M. Popa, “Evaluation of the microstructural, mechanical and anti-corrosive properties of a new ternary Ti-15Zr-5Nb alloy in simulated oral environment,”
*Materials and Corrosion*, 2013. View at Publisher · View at Google Scholar - M. Geetha, A. K. Singh, A. K. Gogia, and R. Asokamani, “Effect of thermomechanical processing on evolution of various phases in Ti-Nb-Zr alloys,”
*Journal of Alloys and Compounds*, vol. 384, no. 1-2, pp. 131–144, 2004. View at Publisher · View at Google Scholar · View at Scopus - B. L. Wang, Y. F. Zheng, and L. C. Zhao, “Electrochemical corrosion behavior of biomedical Ti-22Nb and Ti-22Nb-6Zr alloys in saline medium,”
*Materials and Corrosion*, vol. 60, no. 10, pp. 788–794, 2009. View at Publisher · View at Google Scholar - R. Baboian,
*Corrosion Tests and Standards: Application and Interpretation*, ASTM, Philadelphia, Pa, USA, 1995. - M. Pourbaix,
*Atlas of Electrochemical Equilibria in Aqueous Solutions*, Pergamon Press, New York , NY, USA, 1966. - A. Choubey, R. Balasubramaniam, and B. Basu, “Effect of replacement of V by Nb and Fe on the electrochemical and corrosion behavior of Ti-6Al-4V in simulated physiological environment,”
*Journal of Alloys and Compounds*, vol. 381, no. 1-2, pp. 288–294, 2004. View at Publisher · View at Google Scholar · View at Scopus - M. Nakagawa, S. Matsuya, and K. Udoh, “Effects of fluoride and dissolved oxygen concentrations on the corrosion behavior of pure titanium and titanium alloys,”
*Dental Materials Journal*, vol. 21, no. 2, pp. 83–92, 2002. View at Google Scholar · View at Scopus - N. Schiff, B. Grosgogeat, M. Lissac, and F. Dalard, “Influence of fluoride content and pH on the corrosion resistance of titanium and its alloys,”
*Biomaterials*, vol. 23, no. 9, pp. 1995–2002, 2002. View at Publisher · View at Google Scholar · View at Scopus - A. Robin and J. P. Meirelis, “Influence of fluoride concentration and pH on corrosion behavior of Ti-6Al-4V and Ti-23Ta alloys in artificial saliva,”
*Materials and Corrosion*, vol. 58, no. 3, pp. 173–180, 2007. View at Publisher · View at Google Scholar - A. Robin and J. P. Meirelis, “Influence of fluoride concentration and pH on corrosion behavior of titanium in artificial saliva,”
*Journal of Applied Electrochemistry*, vol. 37, no. 4, pp. 511–517, 2007. View at Google Scholar - S. Cattarin, I. Frateur, M. Musiani, and B. Tribollet, “Electrodissolution of p-Si in acidic fluoride. Media modeling of the steady state,”
*Journal of the Electrochemical Society*, vol. 147, no. 9, pp. 3277–3282, 2000. View at Publisher · View at Google Scholar · View at Scopus - J. E. G. Gonzáles and J. C. Mirza-Rosca, “Study of the corrosion behavior of titanium and some of its alloys for biomedical and dental implant applications,”
*Journal of Electroanalytical Chemistry*, vol. 471, no. 2, pp. 109–115, 1999. View at Publisher · View at Google Scholar - N. Ibris and J. C. Mirza-Rosca, “EIS study of Ti and its alloys in biological media,”
*Journal of Electroanalytical Chemistry*, vol. 526, no. 1-2, pp. 53–62, 2002. View at Publisher · View at Google Scholar - A. Robin and J. P. Meirelis, “EIS study of Ti-23Ta alloy in artificial saliva,”
*Corrosion Engineering, Science and Technology*, vol. 44, no. 5, pp. 352–357, 2009. View at Publisher · View at Google Scholar - A. M. Al-Mayouf, A. A. Al-Swayih, N. A. Al-Mobarak, and A. S. Al-Jabab, “Corrosion behavior of a new titanium alloy for dental implant applications in fluoride media,”
*Materials Chemistry and Physics*, vol. 86, no. 2-3, pp. 320–329, 2004. View at Publisher · View at Google Scholar · View at Scopus