Answer : The height of the unit cell is,
Explanation : Given,
Density of zinc =
Atomic radius =
Atomic weight of zinc = 65.37 g/mole
As we know that, zinc has haxagonal close packed crystal structure. The number of atoms in unit cell of HCP is, 6.
Formula used for density :
.............(1)
where,
= density of zinc
Z = number of atom in unit cell = 6 atoms/unit cell (for HCP)
M = atomic mass
= Avogadro's number =
a = edge length of unit cell
= volume of unit cell
Now put all the values in above formula (1), we get
Now we have to calculate the height of the unit cell.
Formula used :
where,
V = volume of unit cell
r = atomic radius =
conversion used :
h = height of the unit cell
Now put all the given values in this formula, we get:
Therefore, the height of the unit cell is,