MATLAB: Plot two equation by matlab

graphical optimizationplot non linear equation

hello everyone i need to plot a non linear equation by matlab who can help me in code please .thank you in advance 🙂 the equation is in function of E and T.
i want to plot tauL=f(T) T is between 0 and 130 K T=[0 130] E become constant = 1.228eV
this a graph of tauL=f(T)
and i want to plot tauL=f(E)
E is between  1.2 and 1.26 eV 
and T become constant =10K
and the graph of tauL=f(E) must be like this
tauL =luminescence lifetime
Kb=8.61e-5
gammac=0.22
Ea=1.244e-3 eV
taur=0.342ns
tautr=0.129ns

Best Answer

I think there is something wrong with your units, but try something like this:
clear all, clc
Ec = 1.228e-3;
Tc = 10;
k=8.61e-5;
gamma=0.22;
Ea=1.244e-3;
Tau_r=0.342;
Tau_tr=0.129;
Tau_T = @(T) Tau_r ./ (1+(Tau_r./Tau_tr).*(1-gamma).*exp((Ec-Ea)./(k.*T)));
Tau_L = @(E) Tau_r ./ (1+(Tau_r./Tau_tr).*(1-gamma).*exp((E-Ea)./(k.*Tc)));
figure(1),clf(1)
fplot(Tau_T,[0,130])
xlabel('T(K)')
ylabel('Luminescence lifetime (ns)')
figure(2),clf(2)
fplot(Tau_L,[1.2e-3,1.26e-3])
xlabel('E(eV)')
ylabel('Luminescence lifetime (ns)')
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