Question

The number of carbon atoms per unit cell of diamond unit cell is
A.8
B.6
C.4
D.2
​

Answer 1

☆Answer☆

8 is the correct Answer

☆Explanation ☆

Diamond has fcc unit cell structure made up of  atoms. 

This accounts for

$= > 8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 1 + 3 = 4c \: atoms$

C atoms are also present in one half of the tetrahedral voids. 

There are 8 tetrahedral voids in fcc structure.

This accounts for remaining

$= > 8 \times \frac{1}{2} = 4c \: atoms$

Thus, total 4+4=8 C atoms are present per unit cell of diamond.

☆Extra Brainly Knowledge ☆

Per unit - Per unit is a way of expressing the value of a quantity in terms of a reference or base quantity.