Answer to Question #171781 in Physical Chemistry for You

Question

a.) Metallic iron at 20oC is studied by the Bragg method, in which the crystal is oriented so that a reflection is obtained from the planes parallel to the sides of the cubic crystal, then from planes cutting diagonally through opposite edges, and finally from planes cutting diagonally through opposite corners. Reflections are first obtained at θ =11o 36’, 8o3’, and 20o26’, respectively. What type of cubic lattice does iron have at 20oC

b.) Metallic iron also forms cubic crystals at 1110oC, but the reflections determined as described in (a) occur at θ = 9o8’, 12o57’ and 7o55’ respectively. What type of cubic lattice does iron have at 1110oC?

c.) the density of iron at 20oC is 7.86g/cm3. What is the length of the side of the unit cell at 20oC

d.) What is the wavelength of the X-rays used?

e.) What is the density of iron at 1100oC?

Answer 1

a.) Metallic iron at 20oC is studied by the Bragg method, in which the crystal is oriented so that a reflection is obtained from the planes parallel to the sides of the cubic crystal, then from planes cutting diagonally through opposite edges, and finally from planes cutting diagonally through opposite corners. Reflections are first obtained at θ =11o 36’, 8o3’, and 20o26’, respectively. What type of cubic lattice does iron have at 20oC

b.) Metallic iron also forms cubic crystals at 1110oC, but the reflections determined as described in (a) occur at θ = 9o8’, 12o57’ and 7o55’ respectively. What type of cubic lattice does iron have at 1110oC?

c.) the density of iron at 20oC is 7.86g/cm3. What is the length of the side of the unit cell at 20oC

d.) What is the wavelength of the X-rays used?