Calculate the quasi-Fermi level of holes and electrons?

[yeyintkoko]

Homework Statement

GaAs has an effective density of states (DOS) = 4 × 10¹⁷ cm⁻³ for the conduction band, = 8 × 10¹⁸ cm⁻³ for the valence band and a band gap of = 1.42 eV.
a) A thin slice of GaAs is illuminated by a cw light source, creating a steady state
density of 10¹⁷ cm⁻³ of electrons and holes. Calculate the quasi-Fermi level of
holes and electrons for the system.

Homework Equations

n_i = (N_CN_V)^1/2 (-E_G/2kT);
E_i = E_G/2 + kT/2 * ln(N_V/N_C);

E_fc-E_i = kTln(n/ni);
E_fv-E_i = -kTln(p/ni);

E_fc-E_i = kTln(10¹⁷/ni);
E_fv-E_i = -kTln(10¹⁷/ni);

The Attempt at a Solution

My problem is that this equations is right?

 

[rude man]

IMO this belongs in the advanced physics forum.