In a face centred cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centres. Once of the A atom is missing from one corner in unit cell. The simplest formula of compound is

Options

A. `A_(7)B_(3)`
B. `AB_(3)`
C. `A_(7)B_(24)`
D. `A_(7//8)B_(3)`

Answer

C

Explanation

If one atom (A) is missing from one corner,no. of
atoms A/unit cell `=7xx(1)/(8)=(7)/(8)`.
No. of atoms B (face centres ) `=6xx(1)/(2)=3` .
Thus, `A:B=(7)/(8):3` .
Hence, the simplest formula is `A_(7)B_(24)` .