A crystalline solid $ X Y_{3} $ has ccp arrangement for its element $ Y . X $ occupies

Question

A crystalline solid $ X Y_{3} $ has ccp arrangement for its element $ Y . X $ occupies, $ 33 \% $ of tetrahedral voids, $ 33 \% $ of octahedral voids, $ 66 \% $ of tetrahedral voids, $ 66 \% $ of octahedral voids

MARKS App · Accepted Answer

$ X Y_{3} $ has ccp arrangement for element $ Y, X $ occupies $ 33 \% $ octahedral voids. In case of close packed arrangement there is one octahedral and two tetrahedral voids corresponding to each atom constituting the lattice. Atom $ Y $ adopt ccp arrangement and there are $ 2 $ tetrahedral sites per atom of $ Y $. Atom $ X $ occupies one octahedral void corresponding to each atom constituting the lattice. Total there are $ 3 $ voids In $ \% \times $ occupies $ \frac{1}{3} \times 100 \% $ octahedral voids $ =33.33 \% $ octahedral voids.

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