Answer:
0.5447
Explanation:
The atomic packing fraction factor is given by
APF = Volume of sphere/ Volume of unit cell
[tex]APF = \frac{N\times V_N}{V_C}[/tex]
The atomic radius = 0.135 nm
The Density of the metal = 3.55 g/cm^3
To calculate the number of atoms
= desnsity/(atomic radius×Avagadro's number)
Putting values and solving we get
the number of atoms = 4
Now,
[tex]APF = \frac{4\times 4/3\pi(0.135\times10^{-9})^3}{(0.545\times10^{-9})^2(0.255\times10^{-9})}[/tex]
Solving we get
APF = 0.54427
