Electron and hole concentrations

[stagger_lee]

Are the following formulas the correct solution to this question? Thanks in advance for any help!

Homework Statement

Write down equations for the electron and hole concentrations n and p in a semiconductor, in terms of N{c} or N{p}, the Fermi level position E{f} and the temperature, T.

Homework Equations

The Attempt at a Solution

n= N{c}exp[-(E{c}-E{f}) / kT]

n=electron
N{c}=Number of energy levels, conduction
E{c}=Energy levels, conduction
E{f}=Fermi energy levels
k=Boltzmann's constant
T=Temperaturep= N{v}exp[-(E{f}-E{v}) / kT]

p=holes
N{v}=Number of energy levels, valence
E{v}=Energy levels, valence
E{f}=Fermi energy levels
k=Boltzmann's constant
T=Temperature

 

[nickjer]

Looks fine to me, although I would have said E_c is the energy level of the bottom of the conduction band. And vice-versa for E_v. Also, the n is concentration and not number (although you never specify).

 

[stagger_lee]

Thank you Nickjer, you've been a great help!