Using the data for a-iron in Table 3.1, compute the interplanar spacings for the (111) and (211) sets of planes.
Table 3.1 Atomic Radii and Crystal Structures for 16 Metals
Metal | Crystal Structurea | Atomic Radiusb (nm) | Metal | Crystal Structure | Atomic Radius (nm) |
Aluminum | FCC | 0.1431 | Molybdenum | BCC | 0.1363 |
Cadmium | HCP | 0.1490 | Nickel | FCC | 0.1246 |
Chromium | BCC | 0.1249 | Platinum | FCC | 0.1387 |
Cobalt | HCP | 0.1253 | Silver | FCC | 0.1445 |
Copper | FCC | 0.1278 | Tantalum | BCC | 0.1430 |
Gold | FCC | 0.1442 | Titanium (α) | HCP | 0.1445 |
Iron (α) | BCC | 0.1241 | Tungsten | BCC | 0.1371 |
Lead | FCC | 0.1750 | Zinc | HCP | 0.1332 |
aFCC = face-centered cubic; HCP = hexagonal close-packed; BCC = body-centered cubic.
bA nanometer (nm) equals 10–9 m; to convert from nanometers to angstrom units (Å), multiply the nanometer value by 10.
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