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Steels and low carbon iron alloys are by far the most common metals in industrial use. The main element of these materials is iron (Fe). Fe has a BCC crystal structure.
a) Show for Fe the unit cell edge length a and the atomic radius R are related through a = 4R/?¯3.
b) Show that the atomic packing factor for Fe is 0.68.
c) Calculate the radius of a Fe atom, given that BCC Fe has a density of 7.87 g/cm³, and an atomic weight of 56 g/mol.
d) When Fe is heated to 1394 °C, the BCC crystal structure changes to FCC structure. What is the density of FCC Fe?
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