3. (a) The figure below shows the first four peaks of the X-ray powder diffraction pattern of copper which adopts a face-centred cubic, FCC, crystal structure. Monochromatic X-ray radiation having a wavelength of 1.542 = 1.542 x 10-10m was used.

(i) Index (i.e. give h, k, and l indices) for each of these peaks. [4 marks] (ii) Determine the d-spacing for each of the peaks. [4 marks] (iii) For each peak, determine the atomic radius for Cu. [7 marks]

Please answer all parts

Diffraction angle 2