Nebenrechnung zu Aufgabe 4.2 b)

ele = 1.602 10^-19; kb = 1.38 10^-23; T = 300; 
    NC = 10^19; τ = 10^-4; n0 = 10^4; 
    p0 = 10^16; Δp0 = 10^18; Δn0 = 10^18; 
    E1RV = 1 ele; E1CR = 0.1 ele; E2RV = 0.6 ele; E2CR = 0.5 ele; 
    E3CR = 1 ele; E3RV = 0.1 ele;

a = E1CR/(kb T); b = E1RV/(kb T);

(n0 Δp0 + 
          p0 Δn0 + Δp0 Δn0)/(τ (n0 + p0 + Δp0 + Δn0 + 
              NC (Exp[-a] + Exp[-b])))

c = E2CR/(kb T); d = E2RV/(kb T);

(n0 Δp0 + 
          p0 Δn0 + Δp0 Δn0)/(τ (n0 + p0 + Δp0 + Δn0 + 
              NC (Exp[-c] + Exp[-d])))

f = E3CR/(kb T); g = E3RV/(kb T);

(n0 Δp0 + 
          p0 Δn0 + Δp0 Δn0)/(τ (n0 + p0 + Δp0 + Δn0 + 
              NC (Exp[-f] + Exp[-g])))