Lec05 Band Structure

Lec05 Band Structure - Last Lecture Electromagnetics...

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Unformatted text preview: Last Lecture Electromagnetics Quantum Mechanics Gauss Law Wave particle duality = h/p Uncertainty principle Energy Quantization Pauli Exclusion Principle One electron One quantum state h x p h t E ( ) ,... 3 , 2 , 1 n n 6 . 13 n 4 2 2 2 4 = = = eV q m E h ( ) = dx d E Poissons Equation = 2 2 dx V d Electronic States In A Crystal Atom: Discrete Energy Levels E vac E 1 E 2 E 3 E 4 Semiconductor: Energy Bands E vac E 1 E 2 E 3 E 4 U x U x Atom: Discrete Energy Levels E vac E 1 E 2 E 3 E 4 Semiconductor: Energy Bands E vac E 1 E 2 E 3 E 4 Semiconductor: Energy Bands E vac E 1 E 2 E 3 E 4 U x U x H atom + H atom Energy Band Diagram Primarily concerned with edge of conduction and valence bands Pauli Exclusion Principle conduction band edge E vac Core electrons valence electrons Conduction band E C Energy Bandgap E V valence band edge (mostly empty) (mostly filled) Energy Bands Definitions Electron affinity ( ) Bandgap energy (E g ) Room Temperature (T=300K): kT = 26 meV Conductors, Semiconductors, and Insulators Many of the electronic properties of a material...
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Lec05 Band Structure - Last Lecture Electromagnetics...

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