// Scilab Code Ex5.6 Ratio of Frenkel defects at two different temperatures in an ionic crystal Page-161 (2010) k = 8.614D-5; // Boltzmann's constant, eV/K Ef = 1.4; // Average energy required to create a Frenkel defect, eV T1 = 300; // First absoluite temperature, K T2 = 600; // Second absolute temperature, K // The concentration of Frenkel defect for given Ef and absolute temperature T is given by // n = A*exp(-Ef/(2*k*T)), per metre cube, so that // n1 = A*exp(-Ef/(2*k*T1)), per metre cube, and // n2 = A*exp(-Ef/(2*k*T2)), per metre cube, therefore, // n1/n2 = exp((-Ef/k)*(1/T1 - 1/T2)), the ratio of Frenkel defects is n300_r_n600 = exp((-Ef/(2*k))*(1/T1 - 1/T2)); // Frenkel defect ratio printf("\nThe ratio of Frenkel defect, n300_r_n600, is : %5.3e", n300_r_n600); //Result // The ratio of Frenkel defect, n300_r_n600, is : 1.312e-006