The Fermi velocity vF is defined by  where EF is the Fermi energy. The Fermi energy for co...

The Fermi velocity vF is defined by  where EF is the Fermi energy. The Fermi energy for conduction electrons in sodium is 3.1 eV. (a) Calculate the Fermi velocity, (b) What would be the wavelength of an electron with this velocity? (c) If each sodium atom contributes one conduction electron to the electron gas and sodium atoms arc spaced roughly 0.37 nm apart, is it necessary, by the criteria of equation (9-43), to treat the conduction electron gas as a quantum gas?