Lec2

Lec2 - Lecture 2 - EE2 Energy Bands UCLA Alex Shailos...

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Lecture 2 - EE2 Energy Bands UCLA Alex Shailos 1 Energy levels of an atom o Hydrogen observed to have quantized energy levels for electrons Define “quantized” Refer to electron orbits picture in notes sheet o Quasi-classical derivation Classical: electron has balance of forces F coulombic   e 2 4 Ú 0 r 2 e charge of electron{C} 1.6 *10 19 r radial coordinates, distance from proton{m} Ú 0 permittivity of free space{F/m} F centripetal   m 0 v 2 r m 0 electron mass 9.1*10 31 { kg } v velocity e 2 4 Ú 0 r 2   m 0 v 2 r Quantum: wavelengths have to “fit” around orbit in integer number of wavelengths 2 r n e n non-zero, positive integer (e.g., 1, 2, 3, . ..) e electron wavelength r n e 2 allowable radii p h k h 2 2 r n p h n r p angular momentum p r r r p rp m 0 vr (for velocity orthogonal to radius) p h n m 0 vr quantization of angular momentum Relate quantized momentum to quantized radius and energy
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Lecture 2 - EE2 Energy Bands UCLA Alex Shailos
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This note was uploaded on 02/28/2011 for the course EE 2 taught by Professor Vis during the Winter '07 term at UCLA.

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Lec2 - Lecture 2 - EE2 Energy Bands UCLA Alex Shailos...

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