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When heated above 916∘C, iron changes its crystal structure from body-centered cubic to cubic closed packed structure. Assuming that the metallic radius of the atom does not change, calculate the ratio of the density of the bcc crystal to that of the ccp crystal.
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In body-centred packing, the efficiency of packing is 67.92%. In the cubic closed packing, the packing efficiency is 74.02%.
Let ρ1 be the density when packing efficiency is 74.02% and ρ2 is the density when packing efficiency is 67.92%.
ρ1ρ2=74.0267.92=0.918.
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