In diamond crystal each carbon atom is linked with other carbon a… - Vidyadip

MCQ

In diamond crystal each carbon atom is linked with other carbon atoms. The number of carbon atoms in diamond unit cell is

A
$2$
B
$4$
✓
$8$
D
$1$

✓

Answer

Correct option: C.

$8$

c
Diamond has fcc unit cell structure made up of atoms. This accounts for $8 \times \frac{1}{8}+6 \times \frac{1}{2}=1+3=4 \mathrm{C}$ atoms

C atoms are also present in one half of the tetrahedral voids. There are 8 tetrahedral voids in fcc structure.

This accounts for remaining $8 \times \frac{1}{2}=4 \mathrm{C}$ atoms

Thus, total $4+4=8 \mathrm{C}$ atoms are present per unit cell of diamond.

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