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Question

SOLID STATE physics

Fig. 04 shows a hexagonal close packed structure (hcp). (a) Show that for an ideal hcp, 2 = 1.633. (b) Show that the packing ratio (or packing efficiency) of hcp is the same as that of fcc structure, that is 0.74. a-Co has an hcp structure with lattice spacing a = 2.51 Å and c = 4.07 A, whereas B-Co is fcc. What is the difference in density (in %) between the two forms? (Hint: a-Co obviously does not have ideal hep structure. Refer your answer in (b) to see how cla related to density) (c) Fig. Q4 (d) Sodium transform from bcc to hep at about T = 23K. Assuming that the density remain fixed and the c/a ratio is ideal, calculate the hep lattice spacing a given that the cubic lattice spacing a'=4.23 Å in the bcc phase.
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Transcribed Image Text:Fig. 04 shows a hexagonal close packed structure (hcp). (a) Show that for an ideal hcp, 2 = 1.633. (b) Show that the packing ratio (or packing efficiency) of hcp is the same as that of fcc structure, that is 0.74. a-Co has an hcp structure with lattice spacing a = 2.51 Å and c = 4.07 A, whereas B-Co is fcc. What is the difference in density (in %) between the two forms? (Hint: a-Co obviously does not have ideal hep structure. Refer your answer in (b) to see how cla related to density) (c) Fig. Q4 (d) Sodium transform from bcc to hep at about T = 23K. Assuming that the density remain fixed and the c/a ratio is ideal, calculate the hep lattice spacing a given that the cubic lattice spacing a'=4.23 Å in the bcc phase.
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