Question

calculate the packing efficiency of a metal crystal for simple lattice

Answer 1

Packing efficiency in simple cubic laattice :

if a=2r

volume of the cubic  cell =a³=(2r)³=8r³

Since a cubic cell have only 1 atom.

so volume of  covered space would be =4/3πr³

∴ formula "Packing efficiency =Volume of one atom/Volume of cubic unit cell×100"

⇒(4/3πr³×100)/8r³

⇒π/6×100

answer

⇒52.4%

hope so this will help you and clear your problem...