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Fig. Q4 shows a hexagonal close packed structure (hcp).(a) Show that for an ideal hcp, (c)/(a) = 2√((2)/(3)) = 1.633.(8 marks)(b) Show that the packing ratio (or packingefficiency) of hcp is the same as that of fccstructure, that is 0.74.(10 marks)(c) α-Co has an hcp structure with lattice spacinga = 2.51 Å and c = 4.07 Å, whereas β-Co isfcc. What is the difference in density (in %)between the two forms? (Hint: α-Co obviouslydoes not have ideal hcp structure. Refer youranswer in (b) to see how c
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