1) Assume that the elemental atoms are hard spheres of radius r. Calculate the maximum packing rate t obtained when this element crystallizes into the following structures: (a) simple cubic (sc) (b) body-centered cubic (bcc) (c) face-centered cubic (fcc) (d) diamond (e) hexagonal close packed (hcp) (first calculate the optimal cla relation)
1) Assume that the elemental atoms are hard spheres of radius r. Calculate the maximum packing rate t obtained when this element crystallizes into the following structures: (a) simple cubic (sc) (b) body-centered cubic (bcc) (c) face-centered cubic (fcc) (d) diamond (e) hexagonal close packed (hcp) (first calculate the optimal cla relation)
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Hi, Can you solve the question please. And can you explain each steps please? Just Option D and E
This subject is related to Solid State Physics
Transcribed Image Text:1) Assume that the elemental atoms are hard spheres of radius r.
Calculate the maximum packing rate t obtained when this element
crystallizes into the following structures:
(a) simple cubic (sc)
(b) body-centered cubic (bcc)
(c) face-centered cubic (fcc)
(d) diamond
(e) hexagonal close packed (hep) (first calculate the optimal c/a
relation)
Using these results, determine the value of the lattice
parameter(s) of the following real crystal systems where dis
distance between nearest neighbors:
(f) magnesium (hcp), d= 3.20 Å
(g) aluminum (fcc), d= 2.86 Å
(h) silicon (diamond), d= 2.35 Å
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Hints:
(b)
For e)
(a)
Three-dimensi onal filling of the hexagonal close packed (left)
and face-centered cubic (right) structures.
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