6) The x-ray diffraction profile of Aluminum is shown in the figure below with each peak indexed (ref: https://doi.org/10.1007/s00339-019-2780-9). Find the interplanar spacing for each of the indexed planes. Using the

interplanar spacing, estimate the lattice constant of the crystal. (Note that the angles are in 2 theta). Use X-ray wavelength of 1.54 Aº and assume first order reflection i.e. n=1 for all the planes. Relative intensity (%) 120 100 80 60 40 20 0 30 (111) 40 (200) 50 60 (220) Random pure Al powders (311) -(222) 70 80 20 (degree) 90 (400) 100 - (331) -(420) JI 110 120