Question

Calculate the volume occupied by a particle in a simple cubic unit cell if the volume of the unit cell is 5.5 × 10⁻²² cm³.

Options

• 2.88 × 10⁻²² cm³

• 1.87 × 10⁻²² cm³

• 1.02 × 10⁻²² cm³

• 3.44 × 10⁻²² cm³

Answer 1

2.88 × 10⁻²² cm³

Explanation:

a³ = 5.5 × 10⁻²² cm³

For SCC, r = `a/2`

Volume occupied by particle = `4/3πr^3`

= `4/3 xx 22/7 xx (a/2)^3`

= `(5.5 xx 10^-22 xx 11)/(7 xx 3)`

= 2.88 × 10⁻²² cm³