In this case, according to the given information, whereas iron titanate forms in the ilmenite crystal structure that consists of an HCP arrangement, it'd be necessary to use the following equation, in order to figure out the ionic radii ratio of Fe²⁺ to O²⁻ which provides the interstitial site type:
[tex]\frac{r_{Fe^{2+}}}{r_{O_2^{2-}}}[/tex]
Now, the ionic radii depends on the source that is considered, that is why in this case, we will consider the data reported by Askeland, The Science And Engineering Materials 6th edition for the required radii:
[tex]r_{Fe^{2+}}=0.074 nm\\\\r_{O_2^{2-}}=0.132 nm[/tex]
Thus, the ratio will be:
[tex]\frac{0.074nm}{0.132 nm}=0.561[/tex]
Which is within the range of octahedral sites (0.414–0.732).
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