Question

A compound is formed by elements $A$ and $B$. This crystallises in the cubic structure where the $A$ atoms are at the corners of the cube and $B$ atoms are at the body centers. The simplest formula of the compound is

• A. $AB$
• B. $A_6B$
• C. $A_8B_4$
• D. $AB_6$

Answer 1

Answer: (A)

$AB$

Answer 2

Since A atoms are present at the corners of the cube, Number of $A$ atoms per unit cell $=8 \times \frac{1}{8}=1$ Number of $B$ atoms per unit cell $=1$ $\therefore$ (present at the body centre of the cube) Hence, the formula of the compound $= AB$