Below is a band edge diagram showing the conduction band and valence band edges as a function of position at the interface between 2 different materials (A and B). The Fermi level is also specified at 0 ev. The axes are quantitative. A B 1.0 0.8 } 0.6 ] 0.4 0.2 - 0.0 . NC E relative to EF (eV) CB VB Ef -2.0 - -20 -10 0 10 30 50 60 70 80 90 100 110 120 130 140 150 x (nm) Below is the E-k diagram for the two different materials A 1.75 1.50 1.25 1.00 0.75 0.50 E (eV) relative from top of VB 0.25 E (eV) relative from top of VB 0.00 0.25 -0.50 -0.75- 0.25 -1.00 - -6.0x109-4.0x109-2.0x109 0.0 2.0x109 4.0x109 6.0x109 -2x10' -1x10 1x109 2x109 k (1/m) along x-direction k (1/m) along x-direction4. Calculate (quantitatively) the electron density (n) in the conduction band at 300K as a function of position and then plot it. Plot log(n) because it spans many decades. Hint: the (Fermi-Dirac (1/2) integral) z 80 for 11 z 40