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The number of carbon atoms per unit cell...

The number of carbon atoms per unit cell of diamond unit cell is

A

1

B

4

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
C

The structure of diamond is similar to that of zinc blends (ZnS)
Carbon atoms are arranged in ccp (fcc) and also occupy helf of the tetrahedral voids
Total no. of carbon atoms per unit cell may be calculated as:
Contribution by atoms present at corners `=1/8xx8=1`
Contribution by atoms present at face centres `=6xx1/2=3`
Contribution by atoms present in tetrahedral voids `=4`
Total no. of carbon atoms `=1+3+4=8`
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