Electronic band structures

Rigid-band model

The Rigid-Band Model (or RBM) is one of the models used to describe the behavior of metal alloys. In some cases the model is even used for non-metal alloys such as Si alloys. According to the RBM the shape of the constant energy surfaces (hence the Fermi surface as well) and curve of density of states of the alloy are the same as those of the solvent metal under the following conditions: 1. * The excess charge of the solute atoms localizes around them. 2. * The mean free path of the electrons is much greater than the lattice spacing of the alloy. 3. * The electron states of interest in the pure solvent are all in one energy band, which is greatly separated in energy from the other bands. The only effect of the addition of the solute, given that its valence is greater than that of the solvent, is the addition of electrons to the valence band. This results to swelling the Fermi surface and filling the density of states curve to a higher energy. (Wikipedia).

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From playlist Handmade geometric toys

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Related pages

Valence electron | Density of states | Brillouin zone | Electronic band structure