Solid State Question 275

Question: 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

Options:

A) $ AB_2 $

B) $ A_2B $

C) $ A_4B_3 $

D) $ A_3B_4 $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Effective number of ‘A’ atoms $ =( 8\times \frac{1}{8} )+( 4\times \frac{1}{2} )=3 $ Effective number of ‘B’ atoms $ =( 12\times \frac{1}{4} )+1=4 $
$ \therefore $ Formula of the solid $ =A_3B_4 $ .