(Solved): The crystal structure of silicon is shown below. a = 0.543 nm (a) Can the crystal structure of sili ...

The crystal structure of silicon is shown below. a = 0.543 nm (a) Can the crystal structure of silicon be described in terms of bcc, fcc or simple cubic lattice? Explain your answer. What is the basis to be used for each of these lattices where such representation is possible? [4 marks) (b) A researcher records the x-ray diffraction pattern of a material with the crystal structure shown in the diagram above but with a unit cell of unknown size and find the position of the (311) peak to have the angle 0=34.34 degrees. The diffraction pattern is obtained using an x-ray source with the wavelength of 0.1937 nm. The Miller indexes are related to the conventional cell shown in the figure above. Derive the unit cell size a of the unknown material.