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A substance A(x)B(y) crystallizes in a f...

A substance `A_(x)B_(y)` crystallizes in a face-centred cubic lattice in which atoms `A` occupy the centres of each face of the cube. Identify the correct composition of the substance `A_(x)B_(y)`.

A

`AB_(3)`

B

`A_(4)B_(3)`

C

`A_(3)B`

D

Decompostion cannot be specified

Text Solution

Verified by Experts

The correct Answer is:
A
Effective number of atoms at corners, `A=8xx(1)/(8)=1`
Effective number of atoms at centre B`=(1)/(2)xx6=3`
Thus, the composition will b e `AB_(3)`
Hence (B) is correct option.
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