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In a solid 'AB' having the NaCl structur...

In a solid 'AB' having the `NaCl` structure, 'A' atoms occupy the corners of the cubic unit cell. If all the face centered 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:
C
In one NaCl type unit cell of solid `B^(-)`are present at corners and face centred and `A^(+)` are present at edge centres and body centre. Thus, a unit cell will contain 4 `A^(+)and 4B^(-)`ions. In this unit two face centred ions `B^(-)`lies along one axis and are removed.
Contribution of two fece centred `B^(-)`ions
`=2times1//2=1`
In the resultant unit cell,
`therefore "No.of " A^(+)` ions present per unit cell =4
`therefore"No. of "B^(-)`ions present per unit cell
=4-1=3resultant.
`therefore"Stoichiometry"=A_(4)B_(3)`
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