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In the fcc arrangement of A and B atoms ...

In the fcc arrangement of `A` and `B` atoms whose `A` atoms are at corners of the unit cell and `B` are at the face centres one of the `A` atom is missing from one corner in each unit cell. What is the simplest formula of the compound?

A

`A_(7)B_(3)`

B

`AB_(3)`

C

`A_(7)B_(24)`

D

`A_(7//8)B_(3)`

Text Solution

Verified by Experts

The correct Answer is:
c

No. of atoms of `A` from corners of unit cell `=(7)/(8)`
No. atoms of `B` from faces of unit cell `=3`
Thus `A:B::(7)/(8):3` or `7:24`
Thus formula is `A_(7)B_(24)`
Thus formula is `A_(7)B_(24)`.
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