Transcription of Intrinsic Carrier Concentration
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Intrinsic Carrier Concentration
Zulfiqar Ali EEE1321 Intrinsic Carrier Intrinsic semiconductor: A semiconductor material with no dopants. It electrical characteristics such as Concentration of charge carriers, depend only on pure crystal. derive Carrier Concentration in thermal equilibrium condition that is in a steady state condition at a given temperature without any external an Intrinsic semiconductor is one that contains relatively small amount of Ali EEE1322 Intrinsic Carrier obtain the electron density (number of electron per unit volume) in Intrinsic semiconductor , we must evaluate the electron density in an incremental energy range n(E) is given by product of density states N(E) and a probability of occupying energy range F(E). the electron density is given by: ==ETOPETOPdEEFENdEEnn00)()()(Zulfiqar Ali EEE1323 Intrinsic Carrier ConcentrationWhere n is in cm-3and N(E) is in (cm3-eV) probability that an electron occupies and electronic state with energy E is given by Fermi-Dirac is Boltzman constant, t is temperature( K), EFis Fermi )(11)( +=Zulfiqar Ali EEE1324 Intrinsic SemiconductorzThe Fermi energy is the energy at which the probability of occupation by an electron is exactly on Ali EEE1325 Figure distribution function F(E) versus (E EF) for various Ali EEE1326 Figure semico
Density n(E) is given by product of density states N(E) and a probability of occupying energy range F(E). III. Thus the electron density is given by: ... Intrinsic Carrier Concentration zThere are large number of allowed states in the conduction band. zHowever there will not be many electrons in the conduction band.
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ECE3080-L-4-Density of states, Derivation, Density of states, Of states, 1. Boltzmann distribution, Boltzmann distribution, The density of electronic states in, States, Density, Density Matrix, Quantum Theory of Thermoelectric Power Seebeck, Intrinsiccarrierconcentrationinsemiconductors, Density of States, Fermi Energy and Energy, Handout 7. Entropy