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In Lecture 6 we discussed energy bands and gave an example of lithium which has one outer shell electron in the 2s orbital. The atomic concentration for Li is 4.63 x 1022 (cm³) and it has a workfunction of 2.49 (eV). Assuming each Li atom contributes one electron to be shared by all atoms in the solid (conduction electrons). a. Calculate the Fermi energy at 0 (K). b. Calculate the speed of the electrons at the Fermi energy at 0 (K). c. What should be the speed of the electrons at EF at 300 (K) if the electrons could be treated classically in terms of the kinetic molecular theory as if they were free (similar to atoms in a gas)?

In Lecture 6 we discussed energy bands and gave an example of lithium which has one outer shell electron in the 2s orbital. The atomic concentration for Li is 4.63 x 1022 (cm³) and it has a workfunction of 2.49 (eV). Assuming each Li atom contributes one electron to be shared by all atoms in the solid (conduction electrons). a. Calculate the Fermi energy at 0 (K). b. Calculate the speed of the electrons at the Fermi energy at 0 (K). c. What should be the speed of the electrons at EF at 300 (K) if the electrons could be treated classically in terms of the kinetic molecular theory as if they were free (similar to atoms in a gas)?

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4. In Lecture 6 we discussed energy bands and gave an example of lithium which has one outer shell electron in the 2s orbital. The atomic concentration for Li is 4.63 x 1022 (cm³) and it has a workfunction of 2.49 (eV). Assuming each Li atom contributes one electron to be shared by all atoms in the solid (conduction electrons). a. Calculate the Fermi energy at 0 (K). b. Calculate the speed of the electrons at the Fermi energy at 0 (K). c. What should be the speed of the electrons at Ef at 300 (K) if the electrons could be treated classically in terms of the kinetic molecular theory as if they were free (similar to atoms in a gas)? d. What is the longest wavelength that will cause photoemission of an electron from lithium?
Transcribed Image Text:4. In Lecture 6 we discussed energy bands and gave an example of lithium which has one outer shell electron in the 2s orbital. The atomic concentration for Li is 4.63 x 1022 (cm³) and it has a workfunction of 2.49 (eV). Assuming each Li atom contributes one electron to be shared by all atoms in the solid (conduction electrons). a. Calculate the Fermi energy at 0 (K). b. Calculate the speed of the electrons at the Fermi energy at 0 (K). c. What should be the speed of the electrons at Ef at 300 (K) if the electrons could be treated classically in terms of the kinetic molecular theory as if they were free (similar to atoms in a gas)? d. What is the longest wavelength that will cause photoemission of an electron from lithium?
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