ECE3080-L-3-Quantum Mechanics

ECE3080-L-3-Quantum Mechanics - ECE 3080 - Dr. Alan...

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Unformatted text preview: ECE 3080 - Dr. Alan Doolittle Georgia Tech Lecture 3 Quantum Mechanics and relationship to electron motion in crystals Reading: Notes ECE 3080 - Dr. Alan Doolittle Georgia Tech mass effective electron m e ch electronic q time t velocity v force F dt dv m qE F n n = = * * , arg , , , mass effective hole m e ch electronic q time t velocity v force F dt dv m qE F p p = = * * , arg , , , Recall: Carrier Movement Within the Crystal Ge and GaAs have lighter electrons than Si which results in faster devices ECE 3080 - Dr. Alan Doolittle Georgia Tech People RARELY get quantum mechanics of their first exposure. Many aspects of quantum mechanics are counter intuitive and thus, visual learners will likely have more trouble than those that tend to think in the abstract. We will introduce it now in hopes it will be easier the more you are exposed to it. Parts of this discussion are taken from: Solymar and Walsh Electrical Properties of Materials Neudeck and Pierret Advanced Semiconductor Fundamentals Dimitrijev Understanding Semiconductor Devices Mayer and Lau Electronic Materials Science Colclaser and Diehl-Nagle Materials and Devices for electrical engineers and physicists Tipler Physics for scientists and engineers V4. Introduction to Quantum Mechanics (notes only) ECE 3080 - Dr. Alan Doolittle Georgia Tech To fully understand the origin of the energy bandgap and effective mass concepts as well as future topics of energy states in quantum wells and tunneling currents, one must have at least a basic understanding of electron motion in free space and in the presence of other sources of electrostatic potential (atomic cores for example). This requires an understanding of the dual wave-particle nature of electrons and in turn quantum mechanics. Consider the electron microscope: Electrons have a charge and thus can be focused... ...but also have a phase and thus can interfere with each other destructively or constructively Introduction to Quantum Mechanics (notes only) Electron Source Deflection Plates (voltage used to focus electrons) Thin sample (spatially varied charge creates multiple phase delayed electron paths) Phosphor Screen (converts electron energy to visible light waves onstructively and destructively interfere to get light and dark regions) ( ) V C s m V 000 , 15 10 6 . 1 2 / 10 25 . 7 10 1 . 9 19 2 7 31 = = m h = qV m KE = = 2 2 1 s m meters kg Js / 10 25 . 7 10 10 1 . 9 10 6 . 6 7 11 31 34 = = 15KV gives sub atomic resolution! ECE 3080 - Dr. Alan Doolittle Georgia Tech Though it acts as a wave, its wavelength is too small to ever measure/observe....
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ECE3080-L-3-Quantum Mechanics - ECE 3080 - Dr. Alan...

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