Calculate the packing efficiency in a body centered cubic (BCC) lattice.
Step 1: Find the total volume of the unit cell
For Body-Centered Cubic (BCC) lattice, the relationship between the edge length and the radius of the unit cell is
The volume of the unit cell is
Step 2: Find the volume occupied by atoms in a unit cell
The volume occupied by one atom is
A BCC unit cell has two atoms per unit cell.
The volume occupied by 2 atoms is
Step 3: Find packing efficiency
The packing efficiency
The packing efficiency of BCC lattice
Thus, the packing efficiency in a body-centered cubic (BCC) lattice is