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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