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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

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The correct Answer is:
`AB`
Number of `A` atom:
Corners share `= 8 xx (1)/(8) = 1`
Face centre share `= 6 xx(1)/(2) = 3`
Total `= 4`
Number of `B` atoms,
Body centre share `= 1`
Edge centre share `= 12 xx (1)/(4) = 3`
Total `= 4`
Formula: `A_(4)B_(4) = 4AB`
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