December 2017
Intermediate to advanced
364 pages
11h 17m
English
The electron and hole concentrations in semiconductors are defined by Fermi–Dirac distributions and a parabolic density of states that, when integrated, yield [138]
where F1/2 is the Fermi integral of order one-half. For the convenience of numerical evaluation, the approximation proposed by Bednarczyk and Bednarczyk is used [222]:
This expression is accurate to within 0.4% of error in all ranges. In the limit of low carrier concentration, the previous equations are reduced to the familiar Boltzmann statistics:
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