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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

The correct Answer is:
D
Contribution by atoms of A at the corners =1
Contribution by the atoms of A at the centre of four faces `=4xx1//2=2`
Total contribution by atoms of `A=1+2=3`
Contribution by atoms of B at the centres of the edges `=12xx1//4=3`
Contribution by atoms of B at the centre of the body of the cube =1
Total contribution by atoms of `B=4`
Formula of compound `A_(3)B_(4)`
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