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## Main Question or Discussion Point

Dear PF users

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.

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.