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I am writing up a lab report investigating titanium anodisation and producing oxide layers. After some searching, all I can find is the reaction $\ce{Ti + O2 \to TiO2}$, which I am having no trouble understanding.

However, I seem to confused/mislead by the simplicity of this. The whole unit is about electrochemistry and redox reactions and I cannot find any examples (or seem to produce any either - I have tried generalising from the rusting of iron in water) of half reactions or anything similar.

I have come about as far as including the redox reactions for the hydrolysis of water and then jumping to the above reaction but am unsure where to go from here.

If anyone could give me a push in the right direction to understanding exactly what is going on electrochemically, it would be greatly appreciated.

(I will be happy to provide any extra information required, I am honestly just unsure of what I do need to include as this has been very largely self directed study.)

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I was able to locate what appears to be a useful summary of reactions and reduction potentials that are all titanium-specific here.

The reaction ${\rm Ti} + {\rm O}_{2} \rightarrow {\rm TiO}_{2}$ is illustrative of Ti being oxidized while oxygen is reduced. I agree with you that it is simplistic-looking and might not appear as traditional an example of redox chemistry as you require.

You might investigate the high-temperature reaction of titanium metal and water (steam), which produces ${\rm TiO}_2$ and ${\rm H}_{2}$ gas (titanium is oxidized, hydrogen is reduced), which might be a little clearer. This reaction (and several others) are given on the page I've linked above.

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