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$A$ and $B$ atoms in a crystal are positioned at the corners and face centers respectively. What is the formula of the crystal?
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The correct answer is:
$A B_3$
Atoms of $A$ are placed at the corners in a crystal. Thus, its contribution $=\frac{1}{8} \times 8=1$.
Atoms of $B$ are placed at the face centres in the given crystal. Thus, their contribution $=6 \times \frac{1}{2}=3$.
Therefore, the formula of the crystal is $A B_3$.
Atoms of $B$ are placed at the face centres in the given crystal. Thus, their contribution $=6 \times \frac{1}{2}=3$.
Therefore, the formula of the crystal is $A B_3$.
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