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.

• A. $AB$
• B. $AB_{2}$
• C. $A_{2}B$
• D. $AB_{4}$

Answer 1

Answer: (A)

$AB$

Answer 2

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.