Show that the atomic packing factor for FCC is 0.74.

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Chapter11: States Of Matter; Liquids And Solids
Section: Chapter Questions
Problem 11.93QP
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Answer 1
Relating Density to Crystal Structure
1. Show that the atomic packing factor for FCC is 0.74.
2. Show that the atomic packing factor for BCC is 0.68.
3. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight
of 55.85 g/mol. Compute and compare its theoretical density with the experimental
value, 7.87 g/cm³.
4. Rhodium has an atomic radius of 0.1345 nm and density of 12.41 g/cm³. Determine
whether it has an FCC or BCC crystal structure.
5. The unit cell for tin has tetragonal symmetry, with a and b lattice parameters of 0.583
and 0.318 nm, respectively. If the density, atomic weight, and atomic radius are 7.30
g/cm3, 118.69 g/mol, and 0.151 nm, respectively, compute the atomic packing
factor.
Transcribed Image Text:Relating Density to Crystal Structure 1. Show that the atomic packing factor for FCC is 0.74. 2. Show that the atomic packing factor for BCC is 0.68. 3. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute and compare its theoretical density with the experimental value, 7.87 g/cm³. 4. Rhodium has an atomic radius of 0.1345 nm and density of 12.41 g/cm³. Determine whether it has an FCC or BCC crystal structure. 5. The unit cell for tin has tetragonal symmetry, with a and b lattice parameters of 0.583 and 0.318 nm, respectively. If the density, atomic weight, and atomic radius are 7.30 g/cm3, 118.69 g/mol, and 0.151 nm, respectively, compute the atomic packing factor.
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