5. The following diffractometer data (expressed as 20 ) were generated from a specimen irradiated with radiation: 31.4571, 45.0798, 56.0180, 65.6087, 74.6068, 83.2010. (Given: 2 = 1.5178) a. Determine the crystal structure. b. Determine the indices of the planes that produce each of the peaks. c. Calculate the interplanar spacing, d (in nm), for each radiation. d. Calculate the lattice constant, a (in nm), for each radiation and determine the average of the lattice constant for all radiation. e. Calculate he atomic radius for each radiation (in nm) by assuming that the crystal is a pure metal and on the basis of the hard-sphere approximation. f. Calculate the density (g/cm?) of the element given that the atomic weight of the element is 95.84 g/mol. g. Identify the material