|The two equations for the minority carrier concentration (here the electrons at the p-side) at the edge of a junction were
|The first equation came from simply relating one kind of carriers on both sides of the junction including non-equilibrium (i.e. voltage U not zero), the second one is simple the mass action law valid for equlibium (i.e. U = 0).
|Show that the two equations are equivalent.
|Hint: Express nen in terms of nhp. Write down the equation for nh p and reshuffle the energies in the exponent so that nen and ni can be extracted.
Link to the solution
2.3.5 Junction Reconsidered
Solution to Exercise 2.1-1 Free Electron Gas with Constant Boundary Conditions
Solution to 2.3.5-1
© H. Föll (Semiconductors - Script)