The equilibrium electron concentration is given by the product of density of states and probability function, n(E) = gc(E)*F(E) where gc(E) and F(E) are the conduction band density of states and Fermi-Dirac probability function, respectively. Using the full expression of Fermi-Dirac function (NOT w/ Maxwell-Boltzmann function), calculate the energy relative to the conduction band edge, E - Ec, at which the electron concentration becomes maximum. This semiconductor has a bandgap of 1.124 eV and the temperature is 300 K. Further assume that the Fermi level, EF​ is located precisely at the conduction band, i. e. EC - EF = 0.