Calculate the length of a vector [110]* in the reciprocal space of a body-centred cubic crystal that has a lattice parameter a = 0.3022 nm. 8) Please use a simple geometry to deduce the Braggs Law for X-ray diffraction. 9) A metallic material is of a face-centred cubic structure with the lattice parameter a = 0.4042 nm. If Cu 1 characteristic X-ray with a wavelength = 0.15406 is used for X-ray diffraction, what are the 2 angles of the (111), (200), and (311) peaks? Assuming neighbouring atoms touch each, what is the radius of the atoms in the material?