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Unformatted text preview: EE372 Assignment 4 due Oct. 13, 2010 in class You should read sections 3.7 to 3.9 of the textbook and then answer the following questions. 1. Nanoparticles A hot research topic at the moment are nanoparticles, very small grains of various semi- conductors. An electron that is inside a nanoparticle is equivalent to an electron inside a three dimensional square well. The potential outside the well is not infinite but instead is roughly the work function of the material. However, the first few infinite 3-D square well energies are a good first approximation for the quantized energies of the electron inside a nanoparticle. a) Use the formula for the electrons energy in the infinite 3-D square well to derive a formula for the energy difference between the first excited state and the ground state. b) The nanoparticles can be induced to give off light by exciting the electron. The formula derived in part (a) gives the energy of the photon emitted when the electron goes from the first excited state to the ground state. Calculate the dimensionthe first excited state to the ground state....
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- Fall '10