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Question: The spinal structure (AB2O4) consists of an fcc array of O2– ions in which the :...

The spinal structure (AB2O4) consists of an fcc array of O2– ions in which the :

A

A cation occupies one-eighth of the tetrahedral holes and B cation occupies one-half of octahedral holes

B

A cation occupies one-fourth of the tetrahedral holes and the B cations the octahedral holes

C

A cation occupies one-eighth of the octahedral hole and the B cation the tetrahedral holes

D

A cation occupies one-fourth of the octahedral holes and the B cations the tetrahedral holes

Answer

A cation occupies one-eighth of the tetrahedral holes and B cation occupies one-half of octahedral holes

Explanation

Solution

A \rightarrow 18\frac{1}{8}× 8 = 1, B \rightarrow 4 ´ 12\frac{1}{2}= 2 and O2– = 4 so formula of spinal = AB2O4