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In a solid AB having the NaCl structure,...

In a solid `AB` having the `NaCl` structure, A atom occupies the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

A

`AB_(2)`

B

`A_(2)B`

C

`A_(4)B_(3)`

D

`A_(3)B_(4)`

Text Solution

Verified by Experts

There were 6 A atoms on the face-centres. Removing face-centred atoms along one of the axes means removal of 2 A atoms .

Now, no , of atoms per unit cell
` = 8 xx 1/8 + 4 xx 1/2 = 3 `
No. of B atoms per unit cell
` 12 xx 1/4 + 1 = 4`
Hence, the resultant stoichimetry is ` A_(3)B_(4)`
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