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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.

A

`A_(2)B`

B

`AB_(2)`

C

AB

D

`A_(2)B_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Atoms Aper unit cell `=underset(("corners"))(8xx(1)/(8))+underset(("face centres"))(6xx(1)/(2))`
`1+3=4`
AtomsB per unit cell
`underset (("edge centres"))(=12xx(1)/(4))+underset(("body centre"))(1=3+1=4)`
`:.` Ratio A : B = 4 : 4 = 1 : 1 . Hence, formula is AB.
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Knowledge Check

  • A compound formed by elements A and B crystallises in a cubic structure where A atoms are present at the corners of a cube and the B atoms are present at the face centres.The formula of the compound is

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