Question
Download Solution PDFN(E): Density of states
f(E): Probability that a quantum state with energy E is occupied by an electron
Ec : Energy level of the conduction band
The expression \(\mathop \smallint \limits_{{E_c}}^\infty N\left( E \right)f\left( E \right)dE\) gives
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe given expression:
\(\mathop \smallint \limits_{{E_c}}^\infty N\left( E \right)f\left( E \right)dE\)
N(E) gives the distribution of allowed states for electrons over energy.
f(E) gives the fraction of the total allowed states being occupied by an electron.
\(∴ \mathop \smallint \limits_{{E_c}}^{E_T} N\left( E \right)f\left( E \right)dE\) gives the concentration of electrons from energy Ec to ET.
Where Ec denotes the bottom of the conduction band and ET denotes the top of the conduction band.
For simplicity, we can replace ET with infinity.
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