1. List the point coordinates for all atoms that are associated with the FCC unit cell. Define all symbols that you use. Solution 12 Na+ 10 2. List the point coordinates of both the sodium (Na) and chlorine (CI) ions for a unit cell of the sodium chloride (NaCl) crystal structure. Define all symbols that you use. 13 CI 3. Within a cubic unit cell, sketch the following directions: [101] (b) [211] Define all symbols that you use. 4. Determine the indices for the directions shown in each of the following cubic unit cells. Define all symbols that you use. 2 H a Solution 5. Sketch within a cubic unit cell the following planes: (a) (107) (b) (271) Solution 6. Derive linear density expressions for FCC [100] and [111] directions in terms of the atomic radius R. Solution D 7. Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic radius R. Solution 8. Determine the expected diffraction angle for the first-order diffraction from the (111) set of planes for FCC nickel (Ni) when monochromatic radiation of wavelength 0.1937 nm is used. Solution 9. The metal niobium (Nb) has a BCC crystal structure. If the angle of diffraction for the (211) set of planes occurs at 75.99 (first-order diffraction) when monochromatic x-radiation having a wavelength of 0.1659 nm is used, compute the following: (a) the interplanar spacing for this set of planes and (b) the atomic radius for the Nb atom. Solution