Quick Recap — Photons & Matter Waves

  • Photon: energy hνh\nu, momentum p=hλ=Ecp = \dfrac{h}{\lambda} = \dfrac{E}{c}, zero rest mass, and it travels at cc.
  • de Broglie wavelength: λ=hp=hmv=h2mKE\lambda = \dfrac{h}{p} = \dfrac{h}{mv} = \dfrac{h}{\sqrt{2mKE}}.
  • Electron accelerated through a potential VV: λ12.27V\lambda \approx \dfrac{12.27}{\sqrt{V}} Å (with VV in volts).
  • The wave nature of electrons was confirmed by the Davisson-Germer experiment.
  • Matter waves matter only for very small particles; for everyday objects the wavelength is immeasurably small.