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## Anderson's rule
## Additional recommended knowledgeAnderson's rule states that when constructing an energy band diagram, the vacuum levels of the two semiconductors on either side of the heterojunction should be aligned (at the same energy) (Borisenko and Ossicini, 2004). ## Using Anderson's rule to construct energy band diagramsOnce the vacuum levels are aligned it is possible to use the electron affinity and band gap values for each semiconductor to calculate the conduction band and valence band offsets (Davies, 1997). The electron affinity (usually given the symbol χ in solid state physics) gives the energy difference between the lower edge of the conduction band and the vacuum level of the semiconductor. The band gap (usually given the symbol Once the relative positions of the conduction and valence bands for both semiconductors are known, Anderson's rule allows the calculation of the band offsets of both the valence band (Δ Consider a heterojunction between semiconductor A and semiconductor B. Suppose the conduction band of semiconductor A lies at a higher energy than that of semiconductor B. The conduction band offset would then be given by:
Then suppose that the band gap of semiconductor A is large enough that the valence band of semiconductor B lies at a higher energy than that of semiconductor A, then the valence band offset is given by:
Poisson’s equation can then be used to calculate the band bending between the two semiconductors. ## ReferencesAnderson, R. L., (1960). Germanium-gallium arsenide heterojunction, Borisenko, V. E. and Ossicini, S. (2004). Davies, J. H., (1997). |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Anderson's_rule". A list of authors is available in Wikipedia. |