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Density of States Derivation - University of Michigan

Density of States Derivation The Density of States gives the number of allowed electron (or hole) States per volume at a given energy. It can be derived from basic quantum mechanics. Electron Wavefunction The position of an electron is described by a wavefunction zyx,, . The probability of finding the electron at a specific point (x,y,z) is given by 2,,zyx , where total probability dxdydzzyxspaceall 2,, is normalized to one. Particle in a Box The electrons at the bottom of a conduction band (and holes at the top of the valence band) behave approximately like free particles (with an effective mass) trapped in a box.

Density of States Derivation The density of states gives the number of allowed electron (or hole) states per volume at a given energy. It can be derived from basic quantum mechanics.

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