3. A sample of an unknown metal has an orange-yellow hue; based on this it is believed to be either copper or gold. To determine its identity, it is analyzed by x-ray diffraction using a light source having a wavelength of 238 pm. The metal produces a diffractogram with a major peak at 2Θ = 38.38o and much smaller peaks at 2Θ = 82.19o and 2Θ = 160.76o . Calculate the distance between the atoms (do) in this metal, assuming that the peaks represent first-order, second-order and third-order diffraction, respectively, and identify the metal, based on the atomic radius for gold (144 pm) and copper (128 pm).
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