How do the Fermi level, HOMO and LUMO change with doping?
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So depend on the formula:
W=Ev−EfW=Ev−Ef
where WW is workfuntion, EfEf is the Fermi level and EvEv is the vacuum level, either the EfEf or EvEv should change. So if the EfEf does not change with doping, EvEv should change. And we know that AfAf (electron affinity) remains constant with doping and:
Af=Ev−LUMOAf=Ev−LUMO
So the LUMO (Lowest Unoccupied Molecular Orbital) should also change with doping to have a constant AfAf. What about HOMO (Highest Occupied Molecular Orbital)? Does it change with doping because of constant EgEg (band gap) or not?
W=Ev−EfW=Ev−Ef
where WW is workfuntion, EfEf is the Fermi level and EvEv is the vacuum level, either the EfEf or EvEv should change. So if the EfEf does not change with doping, EvEv should change. And we know that AfAf (electron affinity) remains constant with doping and:
Af=Ev−LUMOAf=Ev−LUMO
So the LUMO (Lowest Unoccupied Molecular Orbital) should also change with doping to have a constant AfAf. What about HOMO (Highest Occupied Molecular Orbital)? Does it change with doping because of constant EgEg (band gap) or not?
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Explanation:
This means that wave functions, HOMO and LUMO, are localized mainly in .dition, if one succeeds in shifting the Fermi level toward the transport states by doping or control of ...
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