Class 12 Chemistry The Solid State Packing Efficiency in hcp and ccp Structures

Packing Efficiency in hcp and ccp Structures

let the unit cell edge length be ‘a’ and face diagonal AC = b.

Let r be the radius of the sphere. So we get

Each unit cell in ccp structure has effectively 4 spheres.

Hence total volume of four spheres is equal to 4 X (4/3)Π r3 and volume of the cube is a3 or  (2√2r)3.

Therefore, Packing efficiency = (Volume occupied by four spheres in the unit cell X 100)/( Total volume of the unit cell)

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