ee2_fall07_HW2 - between a 0.5 and 0.50001 eV and b 0.6 and...

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Electrical Engineering 2 Fall 2007 Homework 2 (due on October 15) 1. Consider an electron in a rectangular box of dimensions L x =1nm, L y = 2 nm and L z = 3 nm. Write the wave function for the state (4,1,2) 2. What is the energy of the electron in this state in eV? 3. Consider electrons in a cubic box of dimensions 0.5cm X 0.5cm X 0.5cm. How many electron states are there with energy less than 0.5 eV? (Hint: Take the potential energy within the box to be zero.) 4. In a metallic solid there are 10  electrons per cm 3 .What is the Fermi energy? 5. In the previous problem calculate the number of electrons with energy
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Unformatted text preview: between a) 0.5 and 0.50001 eV and b) 0.6 and 0.7 eV. 6. Show that the probability of electron occupation of states with energy below E F is the same as the probability of electrons not occupying states with energy more than E F . 7. For the problem of free electron in a box, determine the average of the function av 2 + bv 3 at T= 0K where v is the speed of the electrons. 8. Express the average kinetic energy of electrons in a box at T= 0K in terms of E F ....
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This note was uploaded on 02/09/2011 for the course EE 2 taught by Professor Vis during the Spring '07 term at UCLA.

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