Solid StateHard
Question
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
Options
A.50%
B.12.5%
C.25%
D.40%
Solution
$Z_{O^{2 -}} = 4;Z_{X^{2 +}} = 8 \times \frac{x}{100};Z_{Y^{3 +}} = 4 \times \frac{50}{100} = 2$
For neutrality of crystal,
$4 \times ( - 2) + \frac{8x}{100} \times ( + 2) + 2 \times ( + 3) = 0 $$$\Rightarrow x = 12.5$$
Create a free account to view solution
View Solution FreeMore Solid State Questions
The sublimation temperature of a substance is −83°C. It exists as cubic close packed structure with unit cell edge lengt...Three lines are drawn from a single corner of an FCC unit cell to meet the other corner such that they are found to pass...In a closed packed array of N spheres, the octahedral holes are :...Which of the following is/are correct regarding point defects in solids?...The distance between two nearest neighbours in BCC lattice of axial length l, is...