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A compound of elements P and Q has a cry...

A compound of elements P and Q has a crystalline structure based on cubic unit cells. The corners and face centres of the unit cell are occupied by P atoms, while its body centre and edge centres are occupied by Q atoms. Predict the probable formula of the compound.

Text Solution

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Number of P atoms per unit cell
`=underset("Total atoms for the corners") underbrace(8xx1/8)+underset("Total atoms for the faces") underbrace(6xx1/2)=4`
Number of Q atoms per unit cell
`=underset("Total atoms for body centre") underbrace(1)+underset("Total atoms for edges") underbrace(12xx1/4)=4`
Thus, each unit cell contains P and Q atoms in the ratio of `4:4=1:1`. Therefore, the probable formula of the compound would be PQ.
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