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//define physical constants
q=1.60218e-19;
k=1.38066e-23;
// define material properties
Nc_300=[1.04e19 2.8e19 4.7e17];
Nv_300=[6e18 1.04e19 7e18];
mu_n= [3900 1500 8500];
mu_p= [1900 450 400];
Wg= [0.66 1.12 1.424];
T0=273;
T=-50:250; // temperature range in centigrade
sigma=zeros([3 length(T)]);
for s=1:3 //loop through all semi conductor materials
Nc=Nc_300(s)*((T+T0)/300).^(3/2);
Nv=Nv_300(s)*((T+T0)/300).^(3/2);
sigma=[q*sqrt(Nc.*Nv).*(exp(-Wg(s)./(2*k*(T+T0)/q)))*(mu_n(s)+mu_p(s))];
end;
plot(T,sigma(1),T,sigma(2),T,sigma(3));
legend('Ge','Si','GaAs',2);
title('Conductivity of semiconductor at different temperatures');
xlabel('Temperature, {\circ}C');
ylabel('Conductivity \sigma, \Omega^{-1}cm^{-1}');
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