A compound formed by elements A and B crystallizes in cubic structure where A atoms are at the corners of a cube and B atoms are at the face center. What is the formula of the compound?

Explanation

A atoms are at eight corners of the cube.
Therefore, the number of A atoms in the unit cell `=(8)/(8)=1`
B atoms are at the face centre of six faces
Therefore, its share in the unit cell `=(6)/(2)=3`
The formula is `AB_(3)`