Question

The number of carbon atom in the unit cell of diamond is

Answer 1

The structure of a unit cell of diamond is very much complex one.

You can see there are total 18 coordinates in which the carbon atoms are placed.

Among these 8 atoms are at corner points so, (1/8)*8 = 1 is the total no. of carbon atom contributed inside the unit cell of a diamond due to corner points.

Now, considering the atoms placed at facial parts we get, (1/2)*6 = 3 is the total no. of carbon atom contributed inside the unit cell of a diamond due to facial regions.

Now, you can see there are 4 carbon atoms inside the unit cell which have full contribution.

Therefore we can say that in total = 4 + 1 + 3 = 8 atoms of carbon can be found in making of a unit cell of diamond.

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