Dear PF users(adsbygoogle = window.adsbygoogle || []).push({});

Would be great if somebody could point me out how to arrive at [itex]n_{n0} = \frac{1}{2} \left[ (N_D - N_A) + \sqrt{ (N_D - N_A)^2 + 4n_i^2} \right][/itex] (n-type charge carrier concentration at thermal equilibrium) by using the expression for the charge neutrality [itex]n+N_A = p+N_D[/itex] and the mass action law [itex]np=n_i^2[/itex].

I understand I should assume that [itex]N_D > N_A[/itex], but I cant work it out.

Any comments are very welcomed.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sze Eq. 42

**Physics Forums - The Fusion of Science and Community**