Using the procedure for the EPM, and the flow chart provided, calculate (using MATLAB) the band structure of the following materials Si, Ge, GaAs, Al x Ga 1 x As (for x 0, 0 2, 0 4, 0 6, 0 8 and 1) Plot the bandstructure of the above materials along the high symmetry k points in the First Brillouin zone as is done in the M L Cohen and T K Bergstresser paper For the Al x Ga 1 x As material also plot the band gap variation as a function of the mole fraction x Important information and steps 1 Use the information about the high symmetry points from the table below Label Cartesian Coordinates Lattice Coordinates Range ( 0,0,0) O Point 4 (0, 2 x x a , 0 ) 1 2 x (b1 b3) 0

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Question: Using the procedure for the EPM, and the flow chart provided, calculate (using MATLAB) the band-structure of the following materials: Si, Ge, GaAs, Al x

AlxGa1-xAs (for x=0, 0.2, 0.4, 0.6, 0.8 and 1).Plot the bandstructure of

Using the procedure for the EPM, and the flow chart provided, calculate (using MATLAB) the band-structure of the following materials: Si, Ge, GaAs, Al_xGa_1-xAs (for x=0, 0.2, 0.4, 0.6, 0.8 and 1).

Plot the bandstructure of the above materials along the high symmetry k-points in the First Brillouin zone as is done in the M. L. Cohen and T. K. Bergstresser paper.
For the Al_xGa_1-xAs material also plot the band gap variation as a function of the mole fraction x.

the above materials along the high symmetry k-points in the First Brillouin

zone as is done in the M. L. Cohen and T. K.

Important information and steps: 1. Use the information about the high-symmetry points from the table below. Label Cartesian Coordinates Lattice Coordinates Range ( 0,0,0) O Point 4 (0, 2 x x/a , 0 ) 1/2 x (b1 + b3) 0

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