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 c/a relation) Using these results, determine the value of the lattice parameter(s) of the following real crystal systems where d is distance between nearest neighbors: (f) magnesium (hcp), d= 3.20 Å (g) aluminum (fcc), d= 2.86 Å (h) sili con (diamond), d= 2.35 Å Hints: For e) Three-dimensional filling of the hexagonal close packed (left) and face-centered cubic (right) structures.
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 c/a relation) Using these results, determine the value of the lattice parameter(s) of the following real crystal systems where d is distance between nearest neighbors: (f) magnesium (hcp), d= 3.20 Å (g) aluminum (fcc), d= 2.86 Å (h) sili con (diamond), d= 2.35 Å Hints: For e) Three-dimensional filling of the hexagonal close packed (left) and face-centered cubic (right) structures.
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Hi, Can you solve the question please. And can you explain each steps please? Just Option A and B
This subject is related to Solid State Physics
![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
www
Hints:
(b)
For e)
(a)
Three-dimensi onal filling of the hexagonal close packed (left)
and face-centered cubic (right) structures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d6186dd-17df-4470-abc4-6cb91644bfed%2F64907b7b-8c6f-4df1-942d-a51d261eff09%2Fuz9t1yw_processed.png&w=3840&q=75)
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
www
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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