Solid State Question 291

Question: In a face centred cubic lattice, atoms of A form the corner points and atoms of B form the face centred points. If two atoms of A are missing from the corner points, the formula of the ionic compound is:

Options:

A) $ AB_3 $

B) $ AB_4 $

C) $ A_2B_5 $

D) $ AB_2 $

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Answer:

Correct Answer: B

Solution:

[b] A form corner points and two atoms of A are missing from corner
$ \therefore $ Atoms at corner $ ( A )=6\times \frac{1}{8}=\frac{3}{4} $ Atoms at face centre $ ( B )=6\times \frac{1}{2}=3 $
$ \therefore {A _{3/4}}B_3i.e.,AB_4 $