Calculate the packing efficiency in a body centered cubic (BCC) lattice.

The volume occupied by 1 atom is 4/3Πr<sup>3</sup>

There are 2 atoms per unit cell in a BCC unit cell

Therefore, the volume occupied by 2 atoms is = 2×4/3Πr<sup>3</sup> = 8/3Πr<sup>3</sup>

The packing efficiency is given as:

(Volume occupied by atoms in a unit cell/Total volume of unit cell) × 100

\(frac{frac{8}{3}pi r^{3}}{frac{64r^3}{3sqrt{3}}}times 100=68.04%\)

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