Solid State Question 196

Question: In a cubic structure of compound which is made from X and Y, where X atoms are at the corners of the cube and Y at the face centres of the cube. The molecular formula of the compound is

[AIIMS 2000]

Options:

A) $ X_2Y $

B) $ X_3Y $

C) $ XY_2 $

D) $ XY_3 $

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Answer:

Correct Answer: D

Solution:

X atoms are at eight corners of the cube. Therefore, the number of X atoms in the unit cell $ =\frac{8}{8}=1 $ . Y atoms are at the face centre of six faces. Therefore, its share in the unit cell $ =\frac{6}{2}=3 $ . The formula is $ XY_3 $ .