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lecture1 - Lecture 1 Monday January 24 EE 332 Semiconductor...

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Lecture 1 Monday January 24 EE 332 Semiconductor Devices Assignment: Review questions 1 thorough 8 Problems 1.6 and 1.8 Bohr Model for the Hydrogen Atom 2. When an electron changes orbits, radiation is emitted having energy equal to the energy difference of the orbits. 1. Angular momentum is assumed quantized in integral multiples of Planck’s constant. π θ 2 / nh n p = = ± Principle assumptions made by Bohr With these assumptions the rest of the solution is just classical mechanics. Applying Newton’s Second Law to the Electron p e = = r m r q ma F 2 2 0 2 v 4 πε Centripetal acceleration ( ) 2 2 2 2 1 v v v 2 / v = = = = = = r n mr r m r n m r n m nh n r m p ± ± ± ± π θ Quantization ang. mo. Solving for the Bohr Radius the of function a as radius Bohr 4 1 v 4 2 2 2 0 2 2 2 0 2 = = = = mq n r r n mr r m r q ± ± πε πε principle quantum number, n
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Energy is the sum of the kinetic energy and the electrostatic potential energy r q m E 0 2 2 2 1 4 v πε + = mr n n r m p ± ± = = = v v From θ substituting for r ± ± ± n q n mq m n 0 2 2 2 0 2 4 4 v πε πε = = E then becomes ( ) 2 2 2 0 4 2 2 0 2 0 2 2 0 2 2 1 4 2 4 4 4 ± ± ± n mq n mq q n q m E πε πε πε πε = + = Atomic Spectra ( ) ( ) = = 2 2 2 1 2 2 0 4 1 n2 2 2 2 0 4 1 1 4 2 E 16 - 1 eq. 4 2 n n mq E n mq E n ± ± πε πε When an electron changes orbits, radiation is emitted having energy equal energy difference of the orbits. Pauli Exclusion Principle No two particles, in an interactging system, can have the same quantum numbers. Transitions for Bohr Model Showing Radiation from the 3-Series
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Potential Energy Diagrams Bonding Forces in Solids Ionic bonding - Electrostatic attraction between atoms. Coulombic forces pull lattice together.
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