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a) Calculate the packing efficiency of p...

a) Calculate the packing efficiency of particles in a body centred cube. 

Text Solution

Verified by Experts

Edge length `a = (4r)/(sqrt(3))`
r = radius of sphere
Packing efficiency `= (("Volume of the sphere" xx 2))/("Volume of unit cell") xx 100`
`= ((4)/(3) pi r^(3) xx 2 xx 100) div a^(3)`
`= ((4)/(3) pi r^(3) xx 2 xx 100) div ((4 r)/(sqrt(3)))^(3) = 68%`
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