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An unforeseeable reaction has just destroyed the metal lining of your high temperature vacuum furnace. You can't afford to purchase a new lining, so you've decided to make a new lining in the Olin shop. The lining is basically a 6-inch metal cube with a wall thickness of 0.125 inches.One problem: you don't know the material used for the furnace lining. You think you can safely assume it's a pure metal, but other than that, you're at a loss. To determine the unknown metal,you run a standard x-ray diffraction scan, the results of which are shown in the following figure.Crystallographic planes (hkl) are indexed on the pattern. X-ray diffraction test were run using a wavelength of 0.1542 nm.

(a) Make a table showing d-spacing corresponding to each 20 value. (b) What is the lattice parameter “a” of the unknown metal (c) What could be the possible crystallographic plane corresponding to the unknowndiffraction peak (shown by * in the figure)

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