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In a face centred cubic arrangement of A...

In a face centred cubic arrangement of A and B atoms. A are present at the corners of the unit cell and B are present at the face centres. If on atom of A is missing from its position at the corner, what is the 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
Number of atoms A from corners of unit cell =7//8.
Number of atoms B from faces of unit cell =Thus `A:B: :7//8:3`.
`i.e.,A_(7//8)B_(3)`.Hence simplest formula is `A_(7)B_(24)`.
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