In a cubic closest packed structure of mixed oxides, the lattice is made up of oxide ions. Tetrahedr

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In a cubic closest packed structure of mixed oxides, the lattice is made up of oxide ions. Tetrahedral voids are occupied by divalent X2+ ions and octahedral voids are occupied by trivalent Y3+ ions. If only 50% of the octahedral voids are occupied, then the percentage of tetrahedral voids occupied is

Accepted Answer

$Z_{O^{2 -}} = 4;Z_{X^{2 +}} = 8 	imes \frac{x}{100};Z_{Y^{3 +}} = 4 	imes \frac{50}{100} = 2$For neutrality of crystal,$4 	imes ( - 2) + \frac{8x}{100} 	imes ( + 2) + 2 	imes ( + 3) = 0 $$$\Rightarrow x = 12.5$$

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