Percentage of free space in a body centred cubic unit cell is
- 34%
- 28%
- 30%
- 32%
Answer
(4) 32%
Solution
In a bcc unit cell, Z = 2 and the atoms touch along the body diagonal:
3a = 4r ⇒ r = 34a
Packing efficiency = 2 43 r3a3 100
= 3 8 100
68\%
∴ Free space = 100\% - 68\% = 32\%
Answer: (4)