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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 face centered position of the cube. If five of the B atoms are missing from five face center, identify the correct formula of the compound.

A

`AB_(3)`

B

`A_(4)B_(3)`

C

`A_(2)B`

D

Formula cannot be specified

Text Solution

Verified by Experts

The correct Answer is:
A
Contribution by atoms A at the corners
`=1//8xx8=1`
Contribution by atoms B at the centre of all the six faces `=1//2xx6=3`
Formula of compound `=AB_(3)`
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