Solid State Question 252

Question: In a face centered lattice of X and Y, X atoms are present at the comers while Y atoms are at face centers. Then the formula of the compound would be if two atoms of X are missing from the comers:

Options:

A) $ X_4 $ Y

B) $ X_3 $ $ Y_4 $

C) X $ Y_4 $

D) $ X_2 $ $ Y_4 $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] for $ X, $

$ 6\times \frac{1}{8}=\frac{3}{4} $ For Y, $ 6\times \frac{1}{2}=3 $ So $ {X _{3/4}}Y_3 $ or $ X_3Y _{12} $ or $ XY_4 $