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A substance A(x)B(y) crystallises in a ...

A substance `A_(x)B_(y)` crystallises in a face centred cubic (fcc) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy the centres of each face of the cube identify the correct formula of the compound.

A

`AB_(3)`

B

`A_(4)B_(3)`

C

`A_(3)B`

D

Composition cannot be specified.

Text Solution

Verified by Experts

The correct Answer is:
A

Effective number of corner atom i.e. `A=8xx(1)/(8)=1`
Effective number of face centred atoms `B=(1)/(2)xx6=3`.
Thus, the composition will be `AB_(3)`.
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