1.

Caleulate the packing efficiency in a unit cell of Cubic Close Packing(CCP) structure.

Answer»

Solution :For ccp structure
`a = (4r)/(sqrt(2)) = 2 sqrt(2) r or r = (a)/(2 sqrt(2))`
Packing efficiency = `("VOLUME occupied by four spheres in the unit CELL" XX 100 %)/("Total volume of the unit cell")`
`= (4 xx (4)/(3) pi r^(3) xx 100)/((2 sqrt(2) r)^(3))%`
`= ((16)/(3) pi r^(3) xx 100)/(16 sqrt(2) r^(3))%`
= 74%


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