Answer all Table 3.1 Atomic Radii and Crystal Structures for 16 MetalsAtomicRadius(nm)MetalAluminumCadmiumChromiumCobaltCopperGoldIron (a)LeadCrystalStructureFCCHCPBCCHCPFCCFCCBCCFCC0.14310.14900.12490.12530.12780.14420.12410.1750MetalMolybdenumNickelPlatinumSilverTantalumTitanium (a)TungstenZincCrystalStructureBCCFCCFCCFCCBCCHCPBCCHCPAtomicRadius(nm)0.13630.12460.13870.14450.14300.14450.13710.1332"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 planesshown in the following unit cell:6.B+yDetermine the indices for the directions inthe hexagonal lattice shown in Figure 3-43,using both the three-digit and four-digitsystems.a2a₁Figure 3-43 Directions in a hexagonal lattice forProblem 3-45.

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.

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.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter10: Liquids And Solids

Section: Chapter Questions

Problem 65E

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Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

Answer all

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.

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