Equations 8.1a and 8.1b, expressions for Burgers vectors for FCC and BCC crystal structures, respectively, are of the form
where a is the unit cell edge length. The magnitudes of these Burgers vectors may be determined from the following equation:
Determine the values of |b| for aluminum and chromium. You may want to consult Table 3.1.
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 |
(8.1a)
(8.1b)
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