diff --git a/src/13_semiconductors.md b/src/13_semiconductors.md index 37bac515ec87df4079fc0275f4234eeb76efdcb2..c17563c7bb6efd2d0339fbcda47e76056be94238 100644 --- a/src/13_semiconductors.md +++ b/src/13_semiconductors.md @@ -168,10 +168,11 @@ $$ g(E_h) = (2m_h)^{3/2}\sqrt{E_h}/2\pi^2\hbar^3$$ **The key algorithm of describing the state of a semiconductor:** -1. Write down the density of states, assuming a certain position of the Fermi level -2. Calculate the total amount of electrons and holes, equate the difference to the total amount of electrons $-$ holes available. -3. Use physics intuition to simplify the equations (this is important!) -4. Find $E_F$ and concentrations of electrons and holes +1. Compute the density of states of all types of particles. +2. Calculate the total amount of electrons and holes, assuming a certain value of $E_F$ +3. Write down the charge balance condition: the difference between electrons and holes should equal to the total charge of the semiconductor. +4. Apply approximations to simplify the equations (this is important!). +5. Find $E_F$ and concentrations of electrons and holes Applying the algorithm: