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

4

Explanation

The atoms which occupy at the corners are also exist in the face centre effective no. of 'A' atoms
`=8xx(1)/(8)+4xx(1)/(2)=3`( `because` two atoms from the face centre are removed) effective no. of 'B' atoms `=12xx(1)/(4)+1xx1=4 therefore` Formula- `A_(3)B_(4)`