The unit cell for Al2O3 has hexagonal symmetry with lattice parameters α = 0.4759 nm and c = 1.2989 nm. If the density of this material is 3.99 g/cm3, calculate its atomic packing factor. For this computation, use ionic radii listed in Table 12.3.
Table 12.3 Ionic Radii for Several Cations and Anions for a Coordination Number of 6
Cation | Ionic Radius (nm) | Anion | Ionic Radius (nm) |
Al3+ | 0.053 | Br– | 0.196 |
Ba2+ | 0.136 | Cl– | 0.181 |
Ca2+ | 0.100 | F– | 0.133 |
Cs+ | 0.170 | I– | 0.220 |
Fe2+ | 0.077 | O2- | 0.140 |
Fe3+ | 0.069 | S2- | 0.184 |
K+ | 0.138 |
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Mg2+ | 0.072 |
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Mn2+ | 0.067 |
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Na+ | 0.102 |
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Ni2+ | 0.069 |
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Si4+ | 0.040 |
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Ti4+ | 0.061 |
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