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3. Answer the following questions for nickel (Ni): a. Sketch the unit cell. b. Derive a formula for the lattice parameter, a, in terms of the atomic radius, R (do not just use equation given in lecture). Determine the value of a for Ni. Remember to include units. c. What is the theoretical density of pure Ni (in g/cm3)? 4. Answer the following questions for molybdenum (Mo): a. Sketch the unit cell. b. Derive a formula for the lattice parameter, a, in terms of the atomic radius, R (do not just use equation from lecture). Determine the value of a for Mo. c. Prove that the APF for Mo is 0.68 (do not just use result from lecture)