Question
Question: Find the void volume of bec unit cell in cm³ if volume of unit cell is 1.5 × 10⁻²² cm³....
Find the void volume of bec unit cell in cm³ if volume of unit cell is 1.5 × 10⁻²² cm³.
A
54% and 4.8 × 10⁻²³
B
22% and 3.6 × 10⁻²³
C
13% and 2.4 × 10⁻²³
D
11% and 1.2 × 10⁻²³
Answer
4.8 × 10⁻²³ cm³
Explanation
Solution
The atoms in a bec unit cell pack such that the fraction of the unit cell volume occupied by the atoms is 68%. Therefore, the void volume (the remaining empty space) is calculated as follows:
Void volume = (1 – 0.68) × (1.5 × 10⁻²² cm³) = 0.32 × 1.5 × 10⁻²² cm³ = 4.8 × 10⁻²³ cm³
Thus, the void volume is 4.8 × 10⁻²³ cm³.