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In a face centred cubic lattice, atom A ...

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is:

A

`A_(2)B`

B

`AB_(2)`

C

`A_(2)B_(3)`

D

`A_(2)B_(5)`

Text Solution

Verified by Experts

The correct Answer is:
D

Number of atoms of A per unit cell =`8times1/8=1`
Number of B atoms per unit cell =`(6-1)/2=2.5`
Formula of the compound =`A_(1)B_(2.5)orA_(2)B_(5)`
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