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单词 carrier concentration
释义
carrier concentration

Electronics and Electrical Engineering
  • The number of charge carriers in a semiconductor per unit volume, in practice usually quoted as numbers per cubic centimetre. In an intrinsic (i-type) semiconductor the number of holes, p, and of electrons, n, is equal to the intrinsic density, ni:

    n=p=ni

    where

    ni2=NcNvexp(EgkT)

    where Nc and Nv are the effective densities of energy states in the conduction and valence bands respectively, Eg is the difference in energy between the conduction and valence bands, k is the Boltzmann constant, and T the thermodynamic temperature.

    In an extrinsic semiconductor the electrical neutrality of the sample is preserved and in a sample that contains impurities,

    NA+n=ND++p

    where NA and ND+ are the numbers of ionized acceptor and donor impurities, respectively. At relatively high temperatures most of the impurity atoms are ionized and it is possible to state that

    n+NA=p+ND

    where NA and ND are the total numbers of acceptors and donors. The product np = ni2 is independent of added impurities.

    In an n-type semiconductor the number of electrons, nn, at thermal equilibrium is given by

    nnn=|NDNA|

    provided ND > NA >> ni

    carrier concentration

    Carrier concentrations in semiconductors

    The number of holes, pn, in an n-type semiconductor is given by

    pn=ni2nn

    In a p-type semiconductor the situation is reversed:

    pp=|NAND|

    provided NA >; ND >> ni

    The number of electrons is given by

    np=ni2pp

    The carrier concentrations of i-, n-, and p-type semiconductors are shown schematically in the diagram, where EA and ED are the locations of the energy levels of the acceptor and donor impurities respectively.


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