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// Scilab Code Ex 10.6 Electron probability above Fermi energy: Page-336 (2010)
k = 1.38D-23; // Boltzmann constant, in J/mol-K
FD = 0.10; // Fermi-Dirac distribution probability for electrons
Efermi = 5.5; // Fermi Energy of silver, in eV
E = Efermi + 0.01*Efermi; // Allowed energy for electrons
dE = E - Efermi; //Deviation of allowed energy from Fermi energy, in eV
DEeV = dE*1.6D-19; //Convert into joule
// The Fermi-Dirac distribution function as at any temperature T is given by
// F(E) = FD = 1/(exp((E-Efermi)/kT)+1
// Solving for T
T = DEeV/(k*log(1/FD-1)); // Absolute temperature at which result follows, in K
disp(DEeV, dE, E);
disp(T, "The temperature at which the given probability is expected, in K, is :");
//Result
// The temperature at which the given probability is expected, in K, is :
// 290.2212
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