In a face centred cubic lattice, atom `A` occupies the corner positions and atom `B` occupies the face centred positions. If one atom of `B` is missin from one of the face centred points,, the formula of the compound is `:`

Options

A. `A_(2)B`
B. `AB_(2)`
C. `A_(2)B_(3)`
D. `A_(2)B_(5)`

Answer

D

Explanation

Atoms of A present at the corners
`=8xx1//8=1`
Atoms of B presents at the face centres
`=5xx1//2=5//2`
Formula of the compound
`AB_((5//2))=A_(2)B_(5)`