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**Unformatted text preview: **a k k k a z y x , , . (b) Using the relation /M=Y/ a 2 (Y: Youngs modulus = 1.14x10 11 Nt/m 2 , a=4.03, and =2.73 g/cm 3 ), calculate the maximum phonon energy in electron volt (eV). (c) Calculate the speed of the sound in aluminum. 3. This is a problem created by your classmate: Assuming an E-k relation: 1 . Plot the band diagram, the group velocity, and the effective mass over the first Brillouin Zone. 4. Create your own question related to the density of states, phonons, Fermi function, or carrier concentrations....

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