// Scilab code Exa15.1 : : Page-652 (2011) clc; clear; N_0_235 = 1; // Number of uranium atom N_0_c = 10^5; // Number of graphite atoms per uranium atom sigma_a_235 = 698; // Absorption cross section for uranium, barns sigma_a_c = 0.003; // Absorption cross section for graphite, barns f = N_0_235*sigma_a_235/(N_0_235*sigma_a_235+N_0_c*sigma_a_c ); // Thermal utilization factor eta = 2.08; // Number of fast fission neutron produced k_inf = eta*f; // Multiplication factor L_m = 0.54; // Material length, metre L_sqr = ((L_m)^2*(1-f)); // diffusion length, metre tau = 0.0364; // Age of the neutron B_sqr = 3.27; // Geometrical buckling k_eff = round (k_inf*exp(-tau*B_sqr)/(1+L_sqr*B_sqr)); // Effective multiplication factor N_lf = k_eff/k_inf; // Non leakage factor lf = (1-N_lf)*100; // Leakage factor, percent printf("\n Total leakage factor = %4.1f percent",lf) // Result // Total leakage factor = 31.3 percent