167 Calculate packing the percentage efficiency of of Simple cubic cell. in case
Answers
- The percentage efficiency of packing in case of simple cubic cell is 52.4 %.
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In simple cubic unit cell, two atoms touch along the edge of the unit cell.
For simple cubic cell, the relationship between the edge length a and the radius r is a = 2r.
The volume of the unit cell V = a³ = (2r)³ = (8r³).
Each simple cubic cell contains eight atoms present at eight corners. Each atom contributes one eight to the unit cell. Hence, number of atoms present in one unit cell = 8 × 1/8 = 1.
The volume occupied by one atom in unit cell = 4/3πr³.
Packing efficiency = Volume occupied by one atom/Volume of cell unit × 100
- => 4/3πr³/8r³ × 100
- => Packing efficiency = 52.4%
Hence, the percentage efficiency of packing in case of simple cubic cell is 52.4 %.
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In simple cubic unit cell, atoms are located at the corners of cube. Let us take a unit cell of edge length “a”. Radius of atom can be given as,
In simple cubic structures, each unit cell has only one atom,