Give the unit cell calculation of SC
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In a simple cubic unit cell, two atoms touch along the edge of the unit cell.
For a simple cubic cell, the relationship between the edge length a and the radius r is a=2r
The volume of the unit cell V=a^ 3 =(2r) ^3 =8r^3
Each simple cubic cell contains eight atoms present at eight corners. Each atom contributes one eight to the unit cell. Hence, the number of atoms present in one unit cell =8×1/8 =1
The volume occupied by one atom in unit cell = 4 /3πr^3
Packing efficiency= volume of unit cell /Volume occupied by one atom ×100
Packing efficiency= (4/3 πr^3) /8r^3 ×100
Packing efficiency=52.4%.
Hence, the percentage efficiency of packing in the case of a simple cubic cell is 52.4 %.
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