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What is packing efficiency in a crystal ? Draw the unit cell of a simple cubic lattice and calculate the packing efficiency in a simple cubic lattice. |
Answer» Solution :Packing EFFICIENCY it is a percentage of total space filled by the particles in a crystal.  Edge LENGTH or SIDE of a cube = a, radius of a particle = r Particles touch each other along the edge `therefore` a = 2r, volume of the CELL `= a^(3) = 8r^(3)` Simple cubic unit cell contains only 1 atom VOLUMNE occupied `= (4)/(3) pi r^(3)` Packing efficiency `= ("Volumne of one atom")/("Volume of the unit cell") xx 100%` `= ((4)/(3) pi r^(3))/(8r^(3)) xx 100 = 52.4%` |
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