1. The doping density of a p-N GaAs/Aloz Gao. NAs junction is shown as \( \mathrm{No}_{0}-\mathrm{N}_{\mathrm{a}} \). Draw the charge density ( 0 ), the electric field \( <\mathrm{E}> \), and the potential \( <\mathrm{V} \) > versus x . Show the dependences on \( x \), i.e., linear, quadratic, cubic, etc., of the charge density, the electric field, and the potential.
2. According to the material parameters of gallium arsenide, GaAs, at 300 K shown below, answer the following questions:
(a) \( (5 \%) \) What is the intrinsic conductivity of GaAs?
(b) \( \left(5 \%\right. \) ) What is the value of \( E_{c}-E_{1} \) of intrinsic GaA ?
(c) ( \( 8 \% \) ) How much does the Fermi level shift if the GaAs is n-type doped with \( 10^{15} \mathrm{~cm}^{-3} \) compared to the intrinsic GaAs? Assuming all the donors are fully ionized. What is the conductivity of the doped GaAs?