Question

The percentage of unoccupied volume in simple cubic cell is ______.

Options

• 52.40%

• 32.00%

• 47.60%

• 68.04%

Answer 1

The percentage of unoccupied volume in simple cubic cell is 47.60%.

Explanation:

Percentage of unoccupied volume = 100 - Packing effeciency

Packing effeciency = `"volume of one atom"/"volume of cubic unit cell" xx 100 %`

For simple cubic cell,

Packing effeciency = `(4/3 pi "r"^3)/(8"r"^3) xx 100` = 52.4 %

∴ Percentage of unoccupied volume in Scc = 100 - 52.4 = 47.6%