// Scilab code: Ex4.1 : Percentage transmission of beam through potential barrier: Pg: 124 (2008) eV = 1.6e-019; // Energy required by an electron to move through a potential barrier of one volt, joules m = 9.1e-031; // Mass of electron, kg E = 4*eV; // Energy of each electron, joule Vo = 6*eV // Height of potential barrier, joule a = 10e-010; // Width of potential barrier, m h_bar = 1.054e-34; // Reduced Planck's constant, J-s k = 2*m*(Vo-E)/h_bar^2 // Since 2*k*a = 2*a*[2*m*(Vo-E)^1/2]/h_bar so pow = 2*a/h_bar*[2*m*(Vo-E)]^(1/2); // Power of exponential in the expression for T T = [16*E/Vo]*[1-E/Vo]*exp(-1*pow); // Transmission coefficient of the beam through the potential barrier percent_T = T*100; printf("\nThe percentage transmission of beam throught potential barrier = %5.3e percent", percent_T); // Result // The percentage transmission of beam throught potential barrier = 1.828e-004 percent