A compound formed by elements `A` and `B` crystallises in a cubic structure where `A` atoms are present at the corners of a cube and the `B` atoms are present at the face centres.The formula of the compound is

Options

A. `A_(2)B_(2)`
B. `AB_(3)`
C. `AB`
D. `A_(3)B`

Answer

B

Explanation

A-atoms are present at the corners of a cube. So, the number of A-atoms per unit cell =`8xx(1)/(8)=1`
Similarly, B-atoms are present at face centres of a cube.
So, the number of B-atoms per unit cell
`=6xx(1)/(2)=3`
Hence, the formula of compound is `AB_(3)`.