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

simple cubic



In a simple cubic lattice the atoms are located only at the corners of the cube.


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


And the radius of each particle = r


The relation between radius and edge a


Can be given as a = 2r


The volume of the cubic unit cell = side3 = a3


= (2r3)


= 8r3


Number of atoms in unit cell


The volume of the occupied space


And we know that, the packing efficiency




= 52.36%


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