Iron(III) oxide or ferric oxide (Fe2O3) known in its natural state as hematite or haematite, but also purified for use as a coating in magnetic audio and computer media, where it is known as ferric oxide. Also known as rouge.
Iron(III) hydroxide FeO(OH) found as the mineral goethite. Red-brown colour. Also found as the minerals siderogel and feroxyhyte. There is a variant known as lepidocrocite.
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That the ratio (iron atoms)/(oxygen atoms) is 4/6, or 2/3, and nothing else is an example of the law of definite proportions.
If iron is heated in the presence of less oxygen, it is possible to synthesize another ironoxide, Fe, called magnetite.
It could be that one of the two irons is neutral and the other is +6e, or maybe both are +3e, or maybe even one is 10e and the other is +16e, for all we know now.