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Intensity (relative) 40.0 50.0 70.0 Diffraction angle 20 60.0 80.0 Figure 3.25 shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a) Index (i.e., give h, k, and / indices for) each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic ra- dius for Cu and compare these with the value presented in Table 3.1. 90.0 Figure 3.25 Diffraction pattern for polycrystalline copper.

Intensity (relative) 40.0 50.0 70.0 Diffraction angle 20 60.0 80.0 Figure 3.25 shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a) Index (i.e., give h, k, and / indices for) each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic ra- dius for Cu and compare these with the value presented in Table 3.1. 90.0 Figure 3.25 Diffraction pattern for polycrystalline copper.

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8. Intensity (relative) 40.0 50.0 60.0 70.0 Diffraction angle 20 80.0 Figure 3.25 shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a) Index (i.e., give h, k, and / indices for) each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic ra- dius for Cu and compare these with the value presented in Table 3.1. 90.0 Figure 3.25 Diffraction pattern for polycrystalline copper.
Transcribed Image Text:8. Intensity (relative) 40.0 50.0 60.0 70.0 Diffraction angle 20 80.0 Figure 3.25 shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a) Index (i.e., give h, k, and / indices for) each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic ra- dius for Cu and compare these with the value presented in Table 3.1. 90.0 Figure 3.25 Diffraction pattern for polycrystalline copper.
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.
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