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The structures of aluminum oxides ( β -alumina and tohdite), hydroxides (gibbsite, bayerite and nordstrandite) and oxihydroxides (diaspore and böhmite) are analyzed on the basis of their cation arrays. In all of them, the Al–Al distances and their topologies, can be related to the structure of the parent Al metal. In hydroxides and oxihydroxides, a direct relationship can be also established between their cation arrays and the  α - and  β -Ga structures. The Al 3+  cation arrays can be also compared with the Al subarray in Zintl phases and intermetallic compounds.

The cation array in aluminum oxides, hydroxides and oxihydroxides