Abstract
The formation mechanism of porous anodic oxides remains unclear till now. The classical field-assisted dissolution (FAD) theory cannot explain the relationship between the current curve and FAD reaction, and the influence of the electrode potential on anodization is rarely reported. The electrode potential theory, oxygen bubble model and the ionic current and electronic current theories were introduced to explain the growth of porous anodic oxides of three metals (Ti, Zr and Fe). Taking the anodization of Ti in aqueous solution containing 0.5wt% NH4F as an example, the electrode potential was calculated, and the morphology of porous anodic oxides was investigated at low voltages. Results show that the growth of porous anodic oxides is determined by the ratio of the ionic current to the electronic current. During the anodization, metals are classified into two groups: one is easy to form the compact oxide layer, and the other is easy to induce oxygen releasing, thus forming oxygen bubbles. The electrolyte is also classified into two groups correspondingly: compact oxide layer-assisted electrolyte and releasing oxygen-assisted electrolyte.
Porous anodic oxides obtained by electrochemical anodi-zation or micro-arc oxidation have received much attention as a result of their widespread applications in capacitors, solar panels, et
However, few of them have proved the growth of nanotubes with quantitative experimental data concerning physical chem-istr
Plus, in a bid to validate the universality of the electrode potential theory, three types of metal were studied: Ti, Zr and Fe. All of them were anodized under low voltage to study the influence of electrode potential on the morphology of anodic nanoscale structures. By comparing morphology of anodic oxide structures, it is found that the electrolyte plays a key role in the growth of anodic oxide structures and that different metals show their specific nature in the anodization. Thus, Ti anodized in aqueous solution containing 0.5wt% NH4F was defined as the standard condition. By comparing the related nature, metals were divided into two groups: one can easily form the compact oxide layer, and the other can release oxygen easily and thus form oxygen bubbles. Electrolytes were also divided into two groups: compact oxide layer-assisted electrolyte and releasing oxygen-assisted electrolyte. Based on the electrode potential theory, this study categorizes metals and electrolytes and is expected to give a deeper and clearer understanding on the growth of anodic oxides.
The experiment is divided into three parts. The details are presented as follows.
The titanium foils (purity 99.5%) with 100 μm in thickness were cut into 1.0 cm×6.0 cm pieces. To remove the oxide film of the titanium foils, before the anodization, samples were polished by a mixed solution of HF, HNO3 and deionized water (1:1:2, volume ratio) for 30 s. Afterward, the samples were put into deionized water for 1 h and then put in air for drying. In anodization, the titanium foil worked as the anode and a graphite plate worked as the cathode. The area of anodization was 1.0 cm×2.0 cm on both sides. Anodization was performed in three different solutions: (1) aqueous solution containing 0.5wt% NH4F; (2) ethylene glycol solution containing 0.5wt% NH4F and 2wt% H2O; (3) aqueous solution containing 0.5wt% NaNO3. The anodizing voltage was kept at 1, 5 and 9 V. The anodizing time was at 400 s.
The thickness, purity, pretreatment process and anodizing process of zirconium foils were exactly the same as those of titanium foils described above.
The iron foils with 100 μm in thickness (purity 99.5%) were cut into 1.0 cm×6.0 cm pieces. Before the anodization, iron sheets were dipped into aqueous solution containing 6wt% H3PO4 at 40 °C for 30 min for polishing. The post-treatment process and anodizing process of the iron foils were exactly the same as those for the titanium foils described in Section 1.1.
The anodizing temperature was kept at 25 °C via constant temperature water bath. The anodizing current-time curves were recorded by a computer system. After anodization, all the samples (Ti, Zr and Fe) were firstly put into plenty of deionized water for 1 h to clean the remaining electrolyte. Then, they were rinsed by deionized water and dried in air as samples for microstructure observation. Finally, the samples were bent to form the cracks for better view of the cross-sections of the oxide film on the substrate. All the samples were characterized by field emission scanning electron microscope (FESEM, Zeiss Supra 55).
Take the anodization of Ti as an example. According to the FAD theor
TiO2+6
ZrO2+6
Based on the FAD theory, fluoride ions dissolve the oxide layer from top to bottom, eventually forming porous anodic oxide
The electrode potential theory thinks that the formation of anodic nanotubes is a result of competition between oxygen bubbles releasing and oxide growth at the anode. Taking the anodization of Ti in aqueous solution containing 0.5wt% NH4F for example (25 °C, 101.325 kPa), two reactions occur on the anode:
Ti-4
=-1.06 V | (1) |
where φ represents the electrode potential in different reactions; φTiO2|T
2H2O-4
=1.23 V | (2) |
where indicates the standard electrode potential of forming O2 from H2O.
A reaction was performed on the cathode.
4H2O+4
=-0.83 V | (3) |
where indicates the standard electrode potential of forming H2 from H2O.
The standard electrode potential of the above reactions is derived from Lange's Handbook of Chemistr
There are two types of total reaction equations in anodizing process:
Ti+2H2O→TiO2+2H2 | (4) |
2H2O→O2+2H2 | (5) |
The above reaction equations are completely consistent with the oxygen bubble model, which can be explained by the electrode potential. The electrode potential theory thinks that the voltage range can be divided into three parts, as shown in

Fig.1 Decomposition voltage in aqueous solution containing 0.5wt% NH4F (25 °C and 101.325 kPa) and corresponding compact oxide layer and nanotubes in different voltage sections
(1) The applied voltage on the samples (U) is lower than the decomposition voltage of TiO2 (U<). In this range, nothing will be formed because the voltage is lower than
the decomposition voltage of both oxides and oxygen bubbles. (2) The voltage is between the decomposition voltage of TiO2 and the decomposition voltage of O2 (<U<). In this range, during the anodization, only the compact oxide layer will be formed because the voltage has not reached the decomposition voltage of O2, as a result of which, only oxides will grow and form the compact oxide layer. (3) The voltage is higher than the decomposition voltage of both TiO2 and O2 ). In this range, during the anodization, growth of both oxides and oxygen bubbles will occur, which is the basis of the formation of anodic TiO2 nanotubes. Then, whether anodic TiO2 nanotubes can be formed is determined by the ratio of the ionic current which forms oxides to the electronic current which forms oxygen bubble
Jtotal=Je+Jion | (6) |
Jion=Aexp(βE)=Aexp(βU/d) | (7) |
Je=J0exp(αd) | (8) |
where Jion is the ionic current which causes the growth of oxides; Je is the electronic current which causes the growth of oxygen bubbles to form the anodic TiO2 nanotubes; J0 is the initial electronic curren

Fig.2 FESEM images of compact oxide layer and anodic TiO2 nanotubes anodized at 1 V (a), 5 V (b) and 9 V (c) in aqueous solution containing 0.5wt% NH4F; corresponding current density-time curves (d)
In this research, anodic oxidation of titanium in electrolyte with 0.5wt% NH4F (25 °C, 101.325 kPa) was used as the standard experimental condition. The following metals and electrolytes are divided into two groups: compact oxide layer metal (easy to form the compact oxide layer) and releasing oxygen metal (easy to form oxygen bubbles). Electrolytes are divided into two groups: compact oxide layer-assisted electrolyte and releasing oxygen-assisted electrolyte.

Fig.3 FESEM images of compact oxide layer of TiO2 anodized in two different electrolytes at 9 V (a, c) and corresponding current density-time curves (b, d): (a‒b) ethylene glycol solution containing 0.5wt% NH4F+2wt% H2O and (c‒d) aqueous solution containing 0.5wt% NaNO3

Fig.4 FESEM images of compact oxide layer and the anodic ZrO2 nanotubes anodized in three kinds of electrolytes at 9 V (a, c, e) and corresponding current density-time curves (b, d, f): (a‒b) aqueous solution containing 0.5wt% NH4F, (c‒d) ethylene glycol solution containing 0.5wt% NH4F+2wt% H2O, and (e‒f) aqueous solution containing 0.5wt% NaNO3

Fig.5 FESEM images of the compact oxide layer and the anodic Fe2O3 nanoflowers anodized in three kinds of electrolytes at 9 V (a, c, e) and corresponding current density-time curves (b, d, f): (a‒b) aqueous solution containing 0.5wt% NH4F, (c‒d) ethylene glycol solution containing 0.5wt% NH4F+2wt% H2O, and (e‒f) aqueous solution containing 0.5wt% NaNO3
2.5 Specific evaluation criteria for the classification of electrolytes and metals by electrode potential theory
Electrolyte | Aqueous solution containing 0.5wt% NH4F | Ethylene glycol solution containing 0.5wt% NH4F +2wt% H2O | Aqueous solution containing 0.5wt% NaNO3 |
---|---|---|---|
Ti | Standard condition | Compact oxide layer-assisted electrolyte | Compact oxide layer-assisted electrolyte |
Zr | Releasing oxygen-assisted electrolyte | Releasing oxygen-assisted electrolyte | Compact oxide layer-assisted electrolyte |
Fe | Compact oxide layer-assisted electrolyte | Releasing oxygen-assisted electrolyte | Compact oxide layer-assisted electrolyte |
1) The electrode potential theory thinks that the electrode potential of metal and O2 on the anode determines the trend of the current density-time curve and the morphology of porous anodic oxides. If the voltage is higher than the decomposition voltage of both metals and O2, the current will be distributed in proportion, which can be explained clearly by the ionic current and electronic current theory.
2) It is calculated that the decomposition voltage of TiO2 is about ‒1 V and the decomposition of O2 is about 3 V. When the voltage is 5 V, there are many pits on the surface of the compact oxide layer, which indicates that some oxygen bubbles are released from the surface since the voltage is not high enough. At 9 V, anodic TiO2 nanotubes are formed, which verifies the correctness of the electrode potential theory and the oxygen bubble model.
3) Electrolytes can be divided into two groups: compact oxide layer-assisted electrolyte and releasing oxygen-assisted electrolyte. The aqueous solution containing 0.5wt% NaNO3 is a strong compact oxide layer-assisted electrolyte, in which the nanotubes hardly form and only the compact oxide layer can form. Metals are also divided into two groups for their morphology: compact oxide layer metal and releasing oxygen metal. Ti is more prone to oxide formation compared with Zr, so the ratio of the length to the diameter of ZrO2 is much larger than that of TiO2.
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