Question

What is the packing efficiency of body centered cubic unit cell?

Answer 1

Packing Efficiency

• Packing efficiency refers to the amount occupied by an atom in a unit cell.
• It is represented by a percentage.
• The mathematical formula is as follows,
• $\mathrm{Packing}\mathrm{efficiency}=\frac{\mathrm{Volume}\mathrm{occupied}\mathrm{by}\mathrm{the}\mathrm{atoms}}{\mathrm{Total}\mathrm{volume}\mathrm{of}\mathrm{unit}\mathrm{cell}}\times 100$

Packing efficiency in a body-centered cubic unit cell

• In a body-centred cubic unit, one atom is present at the center and $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$8$}\right.$ atom is present at the $8$ corners.
• The packing efficiency of body-centered cubic unit cell is $68\%$.