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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

Cannot be specified

Text Solution

Verified by Experts

The correct Answer is:
A

`B` atoms: `1/8 xx 8 = 1 ("corner")`
`A` atoms: `1/2 xx 6 = 3 ("face centres")`
Formula: `A_(3)B`.
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