![]() ![]() ![]() Where m e= electron rest mass and m p= proton rest mass,Ĭorresponding to velocity v = x10^ m/s = c, The following calculation uses the full relativistic expressions for kinetic energy, etc. ![]() (This is why the limiting resolution of an electron microscope is much higher than that of an optical microscope.) For massive particles with kinetic energy KE which is much less than their rest mass energies:įor an electron with KE = 1 eV and rest mass energy 0.511 MeV, the associated DeBroglie wavelength is 1.23 nm, about a thousand times smaller than a 1 eV photon. This is particularly appropriate for comparison with photon wavelengths since for the photon, pc=E and a 1 eV photon is seen immediately to have a wavelength of 1240 nm. DeBroglie Wavelength DeBroglie WavelengthĪ convenient form for the DeBroglie wavelength expression is ![]()
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