The fraction of total volume occupied by the atoms present in a simple cubic unit cell is
- 3 2
- 4 2
- 4
- 6
Answer
(4) 6
Solution
In a simple cubic unit cell, atoms are present only at the 8 corners.
⇒ Number of atoms per unit cell = 8 18 = 1
∵ Atoms touch each other along the edge ⇒ a = 2r
Fraction of volume occupied = 43 r3a3
= 43 r38r3
= 6 0.524 (packing efficiency 52.4\%)
Answer: (4)