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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:
A

`Na` in `NaCl` has 8 corner and 6 face atoms. If we remove face `- ` centred atom of one axis, two face atoms are removed. Thus `A` is at 8 corner and `B` is at 4 faces.
`:. A=(8)/(8)=1` and `B=(4)/(2)=2`
Thus, formula is `AB_(2).`
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