Packing Efficiency in Simple Cubic Structures

Packing Efficiency in Simple Cubic Structures

Packing Efficiency in Simple Cubic Structures

Packing Efficiency in Simple Cubic Structures

Let 'a' be the cube edge and 'r' the atomic radius.
As the particles touch each other along the edge,
therefore, a = 2r
Volume of the unit cell (V) = a3
Since one atom is present in a unit cell, so, its volume
v = 4/3 πr3
or, v = 4/3 π(a/2)3
or, v = πa3/6

So, packing efficiency = (100 × v)/V
= (πa3 × 100)/6 × a3
= 314/6 = 52.4%

Therefore, 52.4% of unit cell is occupied by atoms and the rest 47.6% is empty space.


Also read...

Packing Efficiency in BCC Structures

Packing Efficiency in CCP and HCP Structures


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