problems_section_3[1]

problems_section_3[1] - Problems – Metals and Alloys 1....

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Problems – Metals and Alloys 1. Suppose you are trying to select a material for use as the hood of a car. List the important properties required by this application and briefly indicate why a plain-carbon steel sheet is or is not a good material to choose for this application. 2. Gold has an FCC crystal structure with a lattice parameter of 0.4079 nm. Derive the relation between atomic radius and lattice parameter for FCC and use this to determine the radius of a single gold atom. 3. Aluminum has the FCC crystal structure. Its atomic weight is 26.98 g/mole, and its density is 2.70 g/cm 3 . Determine the atomic radius of a single aluminum atom. 4. Aluminum and silver have similar lattice parameters and crystal structures. From these, determine the density of each metal and explain why the two densities are so different despite the fact that the atomic sizes are so similar. 5. The lattice parameter of copper is 0.3615 nm. Determine the atomic radius of an individual copper atom. 6. The atomic weight of vanadium (V) is 50.94 g/mole. Its density is ρ =5.96 g/cm 3 . It has the BCC crystal structure. Calculate the atomic radius of vanadium. Confirm that this matches the value given in Appendix A. 7. The atomic weight of nickel (Ni) is 58.71 g/mole. Its density is ρ =8.90 g/cm 3 . It has the FCC crystal structure. Calculate the atomic radius of nickel. 8. In a simple cubic crystal, calculate the maximum radius of the sphere which can fit in the interstitial space in the center of the unit cell. Report this as a fraction or the radius of the atoms on the unit cell corners. 9. Calculate the atomic packing fraction of a BCC crystal. 10. On a cube draw: _ a) [010]; [010]; [111]; [121] _ b) (010); (111); (211)
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11. (a) On a sketch of a BCC unit cell indicate four close-packed directions; (b) Chromium has the BCC crystal structure. Briefly develop an argument why its electrical conductivity along the close-packed [111] direction might be different from that along the [100] direction; (c) a property which depends on the orientation of a material is called: i. isotropic ii. anisotropic iii. nonuniform iv. none of the above. 12.
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problems_section_3[1] - Problems – Metals and Alloys 1....

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