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

Answer

D

Explanation

There were `6A` atoms on the face - centers removing face centerd atoms along one of the axes means removal of `2A` atom
Now number of A atom per unit cell
`= 8 xx (1)/(8) xx (1)/(2) = 3`
(cermers) (face- centerd)
Hence the resulatent stochiiometry is `A_(2)B_(4)`