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Q. 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

KCETKCET 2008The Solid State

Solution:

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 $= AB$