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a. Find the density of states for silicon in the conduction energy band in thermal equilibrium that is one kBT above Ee at room temperature (T= 300K). Use the formula derived in the lecture notes: N(E)=\frac{\sqrt{2}}{\pi^{2}}\left(\frac{m_{n}^{*}}{h^{2}}\right)^{3 / 2} \sqrt{E-E_{c}} The effective mass of an electron in the silicon conduction band is m = 1.08 * m, b. Find the "effective" density of states Nc in cm³ for the value calculated in part a.

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