A solid has three types of atoms X, Y and Z. 'X' forms a FCC lattice with 'Y' atoms occupying all th — Solid State Chemistry Question

💡 Solution & Explanation

Atoms 'X' form the FCC lattice, so $X = 4$. 'Y' atoms occupy all tetrahedral voids, so $Y = 8$. 'Z' atoms occupy half of the octahedral voids, so $Z = \frac{1}{2} \times 4 = 2$. The atomic ratio $X:Y:Z$ is $4:8:2$, which simplifies to the empirical ratio $2:4:1$. The simplest formula is $X_2Y_4Z$. Therefore, correct answer is A.