Question

calculate the packing efficiency in simple cubic lattice?​

Answer 1

Answer:

The edge length or side of the cube be 'a', and the radius of each particle be 'r'.

a=2r

Volume of cube =a3

(2r)3=8r3

In simple cube, each unit cell has only one sphere,

Volume of sphere = 4 /3πr3

Packing efficiency ×  Volume if a sphere /Volume of the cube  ×100%

=  (4/3 πr3) /8r3  ×100=52.4%.