Question

A compound formed by elements $X$ and $Y$ crystallizes in a cubic structure, where $X$ is at the corners of the cube and $Y$ is at six face centers. What is the formula of the compound?

• A. $X{Y}_3$
• B. $X_2{Y}_3$
• C. $X_3{Y}_2$
• D. $X_{3}Y$

Answer 1

The correct option is A $X{Y}_3$

The number of atoms of different elements are as follows:

Number of atoms of $X=\frac{1}{8}\times 8=1$

Number of atoms of $Y=\frac{1}{2}\times 6=3$

So, the formula of the compound is $X{Y}_3$.