Problem: What is the percent by mass of titanium in rutile, a mineral that contains titanium and oxygen, if structure can be described as a closest packed array of oxide ions with titanium ions in one-half of the octahedral holes? What is the oxidation number of titanium?

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Recall:  The ratio of octahedral holes to anions in a closest packed array structure is 1:1. Cations occupy the octahedral holes in this structure. Therefore in a closest packed array with octahedral holes, the maximum cation:anion ratio is 1 : 1.

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What is the percent by mass of titanium in rutile, a mineral that contains titanium and oxygen, if structure can be described as a closest packed array of oxide ions with titanium ions in one-half of the octahedral holes? What is the oxidation number of titanium?