// Scilab code Exa7.8: : Page-295 (2011) clc; clear; e = 1.6022e-19; // Charge of an electron, coulomb BR = 2370e-06; // Magnetic field in an orbit, tesla metre m_0 = 9.1094e-31; // Mass of an electron, Kg c = 3e+08; // Velocity of light, metre per sec v = 1/sqrt((m_0/(BR*e))^2+1/c^2); // velocity of the particle, metre per sec E_e = m_0*c^2*((1-(v/c)^2)^(-1/2)-1)/1.6e-13; // Energy of an electron, MeV E_b = 0.028; // Binding energy, MeV E_g = E_e+E_b; // Excitation energy, MeV alpha_k = 0.5; // K conversion coefficient Z = 49; // Number of protons alpha = 1/137; // Fine structure constant L = (1/(1-(Z^3/alpha_k*alpha^4*(2*0.511/0.392)^(15/2))))/2; // Angular momentum l = 1; // Orbital angular momentum I = l-1/2; // Parity printf("\nFor K-electron state:\nThe excitation energy = %5.3f MeV\nThe angular momentum = %d\nThe parity : %3.1f", E_g, ceil(L), I); // Result // For K-electron state: // The excitation energy = 0.393 MeV // The angular momentum = 5 // The parity : 0.5