An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centers of the faces of the cube .The empirical formula for this compound would be

Options

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

Answer

C

Explanation

Contribution by A ions at the corners of the cube `=8xx1//8=1` . Contribution by B ions at the centres of all the six faces of the cube `=6xx1//2=3`
`:.` Formula of the compound `AB_(3)`