3Q3%20assignment%201%2006

3Q3%20assignment%201%2006 - 6 February 2006, MTLS 3Q3...

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6 February 2006, MTLS 3Q3 Materials for Electronic Applications Assignment 1, Due Feb 13th at Class time In all answers use diagram and concise explanations. 1)Free electron theory and energy distribution electrons in solids. a) For solid Al, draw a schematic diagram of the energy distributions of valence electrons indicating the position of the Fermi energy Ef at a temperature T=0K. b) Draw the same diagram at a finite temperature T>0K and T>>0K. c) What energy distribution would you need to use to calculate the probability of finding an electron with an energy E>Ef at T>0K. d) sketch a density of states diagram for a non free-electron metal such as Fe. (5 points) 2)Band theory and properties of solids. a) Using the Ziman model of band theory, explain the origin of the gap in solids. b) What distinguishes metals and insulators in a simple one-dimensional Ziman model. (Hint, discuss the trends as a function of number of valence electrons). c) Can this simple one dimensional model explain the metallic state of most
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3Q3%20assignment%201%2006 - 6 February 2006, MTLS 3Q3...

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