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// Scilab Code Ex4.21: Page-135 (2006)
clc; clear;
n = 6.04e+022; // Concentration of electrons in yittrium, per metre cube
r_s = (3/(4*%pi*n))^(1/3)/1e-08; // Radius of the solid, angstrom
a0 = 0.529; // Lattice parameter of yittrium, angstrom
rs_a0_ratio = r_s/a0; // Solid radius to lattice parameter ratio
E_F = 50.1*(rs_a0_ratio)^(-2); // Fermi level energy of Y, eV
printf("\nThe Fermi energy of yittrium = %5.3f eV", E_F);
Ryd = 13.6; // Rydberg energy constant, eV
E_bs = 0.396*Ryd; // Band structure energy value of Y, eV
printf("\nThe band structure value of E_F = %5.3f eV is in close agreement with the calculated value of %5.3f eV", E_bs, E_F);
// Result
// The Fermi energy of yittrium = 5.608 eV
// The band structure value of E_F = 5.386 eV is in close agreement with the calculated value of 5.608 eV
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