Calculate the void volume of simple cubic unit cell if the volume of unit cell is $5.5 \times 10^{-22}…

Calculate the void volume of simple cubic unit cell if the volume of unit cell is $5.5 \times 10^{-22} \mathrm{~cm}^3$.
  1. $1.435 \times 10^{-22} \mathrm{~cm}^3$
  2. $1.761 \times 10^{-22} \mathrm{~cm}^3$
  3. $2.619 \times 10^{-22} \mathrm{~cm}^3$
  4. $3.880 \times 10^{-22} \mathrm{~cm}^3$

Solution

$\begin{aligned} & \text { Empty space in a simple cubic unit cell }=47.6 \% \\ & \text { Volume of SCC unit cell }=5.5 \times 10^{-22} \mathrm{~cm}^3 \\ & \therefore \quad \text { Void volume }=\frac{47.6 \times 5.5 \times 10^{-22}}{100} \\ & =2.619 \times 10^{-22} \mathrm{~cm}^3 \end{aligned}$

Asked in: MHT CET 2024 (04 May Shift 2)

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