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Q.

In a solid 'AB' having the NaCI 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

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a

AB2

b

A2B

c

A3B4

d

A4B3

answer is C.

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Detailed Solution

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

Now, number of A atoms per unit cell

=8×18+4×12=3

      (corners) (face-centred)

Number of B atoms per unit cell

=12×14+1=4

     (edge centred)  (body centred) 

Hence the resultant stoichiometry is A3B4

 

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