The Solid State Ques 6

6. The number of carbon atoms per unit cell of diamond unit cell is :

[NEET 2013]

(a) 8

(b) 6

(c) 1

(d) 4

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Answer:

Correct Answer: 6.(a)

Solution:

(a) Diamond is like $ZnS$. In diamond cubic unit cell, there are eight corner atoms, six face centered atoms and four more atoms inside the structure (tetrahedral voids).

Total no. of atoms present per unit cell

$=8 \times \frac{1}{8}+6 \times \frac{1}{2}+4=8$

$ \text{(Corners)} \hspace{2mm} \text{(face centered)} \hspace{2mm} \text{(inside body)} $