A compound `A_(x)B_(y)` crystallises on a fcc lattice in which A occupies each corner of a cube and B occupies the centre of each face of the cube. What is the formula of the compound ?

Options

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

Answer

C

Explanation

`:'` A atoms occupy the corners of the cube
`:.` no. of atoms of `A=1/8xx8=1`
`:'` B atoms occupy the cenre of each face of cube,
`:.` no. of atoms of `B=(1//2)xx6=3`
Thus probable empirical formula of the compound is `AB_(3)`.