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A metallic el...

Question

A metallic element crystallizes into a lattice containing a sequence of layers of ABABAB. Any packing of sphere leaves out voids in the lattice. What percentage by volume of this lattice is occupied by voids?

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Solution

ABABAB type of arrangement corresponds to hcp or hexagonal close packed structure. For such a structure, the occupied space is $74 %$ . Hence, $100 - 74 = 26 %$ by volume of this lattice is occupied by voids.

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