Calculate the efficiency of packing in case of a metal crystal for

body-centred cubic


Let us assume the edge length or the side of the cube = a


And the radius of each particle = r


The diagonal of a cube is always a


The relation between radius and the edge will be = 4r


Divide by root 3 we get, A


Total number of atoms in body centered cubic


Number of atoms at the corner


Number of atoms at the centre = 1


Total number of atoms = 2


The volume of the cubic unit cell


= side3


= a3



The volume of the occupied space


Packing efficiency




= 68%


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