Figure Q3 (c) shows the X-ray diffraction patterns of Aluminum powder by Cuka- radiation. i Sketch the (311) plane in cubic structure using miller indices solution. ii. Calculate the planar spacing, d hid and angle, hid for (311) peak if the lattice constant, a is 0.404 nm and is 0.1542 nm. Note that the diffraction condition is 2dha sin 8=ni. iii. Determine whether the crystal structure of Aluminum powder belongs to bec or fcc lattices. Justify your answer. (5) (111) 100 X=0.1542 nm (CuK-radiation) 80 1 1 (200) Intensity (arbitrary units) 40 (220) (311) (222) (400) (331)(420) 0 20 40 50 60 70 80 90 100 110 120 20 (degrees) Fig. 23 ): X-ray diffraction pattern of Aluminum powder by Cuka- radiation. 30