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A compound made up of elements A and B c...

A compound made up of elements `A` and `B` crystallizes in the cubic structures. Atoms `A` are present on the corners as well as face centres whereas atoms `B` are present on the edge centres centres as well as body centre. What is the formula of the compound? Draw the structure of its unit cell.

Text Solution

Verified by Experts

The correct Answer is:
`PQR_(3)`
`{:("Atoms B/unit cell" , =8xx1/8 , +, 6 xx 1/2=4),(, ("corners"), , ("face-centres")),("Atoms B/unit cell" , = 12xx1/4 , +, 1=4),( , ("edge-centres") , , ("body-centre")):}`
A:B = 4 :4 = 1:1 , so the formula is AB.
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