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+disp("Ef=K*T*log(n/Nc)"); // Ef measured from the conduction band edge
+a=0.026; //say (K*T)=a
+n=10^17;
+Nc=4.45*(10^17);
+b=(a)*log((n)/(Nc)); //say Ef=b
+printf('the value of Ef = %f eV',b);
+disp("Ef=K*T*[(log(n/Nc))+((n)/(sqrt(8)*(Nc)))]");//using Joyce-Dixon approximation
+c=(a)*[(log((n)/(Nc)))+((n)/(sqrt(8)*(Nc)))];
+printf('the value of Ef using Joyce-Dixon approximation method is %f eV',c); \ No newline at end of file