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1. a) Calculate the density of bcc iron which has a lattice constant of 2.87 Å and an atomic weight of 55.85. b) Calculate the atomic packing fraction of the fcc crystal structure. c) Determine the boundaries of the first Brillouin zone for potassium which has a bcc structure and a lattice constant of 5.32 Å. d) Calculate the first order x-ray diffraction angle from the (113) set of planes in fcc platinum which has a lattice parameter of 0.39 nm, given that the wavelength of the x-rays is 0.154 nm.
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