Solid State Question 193

Question: A compound is formed by elements $ A $ and $ B. $ This crystallizes in the cubic structure when atoms $ A $ are the corners of the cube and atoms $ B $ are at the centre of the body. The simplest formula of the compounds is

[KCET 1993; CBSE PMT 2000; Kerala PMT 2002]

Options:

A) $ AB $

B) $ AB_2 $

C) $ A_2B $

D) $ AB_4 $

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Answer:

Correct Answer: A

Solution:

A atoms are at eight corners of the cube. Therefore, the number of A atoms in the unit cell $ =\frac{8}{8}=1 $ , atoms B per unit cell = 1. Hence the formula is AB.