The Solid State - Result Question 14

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

(a) 8

(b) 6

(c) 1

(d) 4

[NEET 2013]

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Solution:

  1. (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

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

$\begin{matrix} \text{ (corners) (face } & \text{ (inside } \\ \text{ centered) body) }\end{matrix} $



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