Calculate the efficiency of packing in case of a metal of simple cubic crystal .

Explanation

Packing efficiency in case of metal of simple cubic crystal :
`to` The edge length of the cube
a = 2r. (r = radius of particle )
`to` Volume of the cubic unit cell = `a^(3) = (2r)^(3)`
=`8 r^(3)`
`because` A simple cubic unit cell contains only one atom
The volume of space occupied `= (4)/(3) pi r^(3)`
`therefore ` Packing efficiency
`= ("Volume of one atom")/("Volume of cubic unit cell") xx 100`
`= (4//3 pi r^(3))/(8r^(3)) xx 100 = (pi)/(6) xx 100 = 52.36%`