The position of the intrinsic Fermi level of an undoped semiconductor (EFi) is given by:

1
\(\frac{ {{E_c} - {E_v}}}{2} + \frac{kT}{2}\;ln\;\left( {\frac{{{N_v}}}{{{N_c}}}} \right)\)
2
\(\frac{ {{E_c} + {E_v}}}{2} - \frac{kT}{2}\;ln\;\left( {\frac{{{N_v}}}{{{N_c}}}} \right)\)
3
\(\frac{ {{E_c} + {E_v}}}{2} + \frac{kT}{2}\;ln\;\left( {\frac{{{N_v}}}{{{N_c}}}} \right)\)
4
\(\frac{ {{E_c} - {E_v}}}{2} - \frac{kT}{2}\;ln\;\left( {\frac{{{N_v}}}{{{N_c}}}} \right)\)

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