5. Determine the Miller indices for the planes shown in the following unit cell: 6. Determine the indices for the directions in the hexagonal lattice shown in Figure 3-43, using both the three-digit and four-digit systems. az a₁ Figure 3-43 Directions in a hexagonal lattice for Problem 3-45.

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Table 3.1 Atomic Radii and Crystal Structures for 16 Metals
Atomic
Radius
(nm)
Metal
Aluminum
Cadmium
Chromium
Cobalt
Copper
Gold
Iron (a)
Lead
Crystal
Structure
FCC
HCP
BCC
HCP
FCC
FCC
BCC
FCC
0.1431
0.1490
0.1249
0.1253
0.1278
0.1442
0.1241
0.1750
Metal
Molybdenum
Nickel
Platinum
Silver
Tantalum
Titanium (a)
Tungsten
Zinc
Crystal
Structure
BCC
FCC
FCC
FCC
BCC
HCP
BCC
HCP
Atomic
Radius
(nm)
0.1363
0.1246
0.1387
0.1445
0.1430
0.1445
0.1371
0.1332
"FCC =face-centered cubic; HCP = hexagonal close-packed; BCC = body-centered cubic.
A nanometer (nm) equals 10-9 m; to convert from nanometers to angstrom units (Å),
multiply the nanometer value by 10.
Transcribed Image Text:Table 3.1 Atomic Radii and Crystal Structures for 16 Metals Atomic Radius (nm) Metal Aluminum Cadmium Chromium Cobalt Copper Gold Iron (a) Lead Crystal Structure FCC HCP BCC HCP FCC FCC BCC FCC 0.1431 0.1490 0.1249 0.1253 0.1278 0.1442 0.1241 0.1750 Metal Molybdenum Nickel Platinum Silver Tantalum Titanium (a) Tungsten Zinc Crystal Structure BCC FCC FCC FCC BCC HCP BCC HCP Atomic Radius (nm) 0.1363 0.1246 0.1387 0.1445 0.1430 0.1445 0.1371 0.1332 "FCC =face-centered cubic; HCP = hexagonal close-packed; BCC = body-centered cubic. A nanometer (nm) equals 10-9 m; to convert from nanometers to angstrom units (Å), multiply the nanometer value by 10.
5.
Determine the Miller indices for the planes
shown in the following unit cell:
6.
B
+y
Determine the indices for the directions in
the hexagonal lattice shown in Figure 3-43,
using both the three-digit and four-digit
systems.
a2
a₁
Figure 3-43 Directions in a hexagonal lattice for
Problem 3-45.
Transcribed Image Text:5. Determine the Miller indices for the planes shown in the following unit cell: 6. B +y Determine the indices for the directions in the hexagonal lattice shown in Figure 3-43, using both the three-digit and four-digit systems. a2 a₁ Figure 3-43 Directions in a hexagonal lattice for Problem 3-45.
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