ee2_fall07_HW2

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

This preview shows page 1. Sign up to view the full content.

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
This is the end of the preview. Sign up to access the rest of the document.

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 ....
View Full Document

## This note was uploaded on 02/09/2011 for the course EE 2 taught by Professor Vis during the Spring '07 term at UCLA.

Ask a homework question - tutors are online