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Types of Unit Cell

A metallic el...

Question

A metallic element crystallises into a lattice containing a sequence of layers of $A B A B A B . . .$ Any packing of spheres leaves out voids in the lattice. What percentage by volume of this lattice is empty space?

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Solution

$A B A B A B$ ... type of sequence of layer is Hexagonal Closed Packing (HCP)

$⟶$ Packing fraction of $H C P$ structure is $0.74$
Therefore, % Void= $100 - 74 = 26$ %

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