In a solid `AB` having the `NaCl` structure, A atom occupies the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

Options

A. `A_(2)B`
B. `AB_(2)`
C. `A_(3)B_(4)`
D. `A_(4)B_(3)`

Answer

C

Explanation

There where 6 A atoms on the face centres. Removing face centred atom along onof the axes means removal of 2A atoms.
`=(8xx(1)/(8)) +(4+(1)/(2))=3`
(Coners) (Face centred)
No. of B atoms per unit cell
`=(12xx(1)/(4))+1=4`
(Edge centred)= (Body centred)