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The Solid State

Question
CBSEENCH12005434

What percent of space is utilised by spheres in (i) simple cubic, (ii) face-centered cubic, (iii) body-centered cubic structure?

Solution
(i)Packing efficiency in simple cubic lattice = 52.4%,
(ii)packing efficiency in face-centred  cubic lattice =  74%,
(iii) packing efficiency in body centred cubic lattice =  68%.