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// Ex4_2 Page:59 (2014)
clc;clear;
e = 1.6e-019; // Energy conversion factor, J/eV
m = 9.1e-031; // Mass of an electron, kg
h = 6.626e-034; // Planck's constant, Js
c = 3e+08; // Speed of light in vacuum, m/s
// Non-relativistic case:
E = 1; // Kinetic energy of an electron, eV
p = sqrt(2*m*E*e); // Momentum of the electron, kg-m/s
lambda = h/p*1e+09; // de-Broglie wavelength of electron, nm
printf("\nNon-relativistic Case:\nThe de-Broglie wavelength of electron = %3.1f nm", lambda);
// Relativistic case:
KE = 100; // Kinetic energy of an electron, MeV
p = KE*e/c*1e+06; // Relativistic momentum of the electron, kg-m/s
lambda = h/p; // de-Broglie wavelength of electron, m
printf("\nRelativistic case:\nThe de-Broglie wavelength of electron = %5.3e m", lambda);
// Result
// Non-relativistic Case:
// The de-Broglie wavelength of electron = 1.2 nm
// Relativistic case:
// The de-Broglie wavelength of electron = 1.242e-14 m
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