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The packing e...

Question

The packing efficiency of the face centered cubic (fcc), body centered cubic (bcc) and simple primitive cubic (pc) lattices follows the order:

A

f c c > b c c > p c

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B

b c c > f c c > p c

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C

p c > b c c > f c c

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D

b c c > p c > f c c

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Solution

The correct option is A $f c c > b c c > p c$
Face centred cubic (fcc) lattice has a packing efficiency of $74$ %.

Body centred cubic (bcc) lattice has a packing efficiency of $68$ %.

Simple/ Primitive cubic (pc) lattice has a packing efficiency of $52.4$ %.
Hence, the correct order is $fcc > bcc > pc$ .

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