3.2.2.4

Electron diffraction is evidence for the wave nature of particles

Energy Levels & Wave-Particle Duality — AQA A-Level Physics

Conditions for observable diffraction
  • Diffraction is most noticeable when the wavelength is comparable to the size of the gap or obstacle.
  • Atomic spacings in crystals are about $10^{-10}$ m.
  • Electrons accelerated through ~100 V have de Broglie wavelengths of $\sim 10^{-10}$ m — a good match.
  • Macroscopic objects (e.g. a tennis ball) have wavelengths of $\sim 10^{-34}$ m. No gap is small enough to diffract them.
Examiner Tips and Tricks
  • If asked to describe the evidence for wave-particle dualityThe concept that all matter and radiation exhibit both wave-like and particle-like properties. Particles have a de Broglie wavelength; photons exhibit particle behaviour in the photoelectric effectThe emission of electrons from a metal surface when electromagnetic radiation of sufficiently high frequencyThe number of complete oscillations passing a point per unit time. Measured in hertz (Hz). is incident on it..: for light, cite the photoelectric effectThe emission of electrons from a metal surface when electromagnetic radiation of sufficiently high frequencyThe number of complete oscillations passing a point per unit time. Measured in hertz (Hz). is incident on it. (particle) and diffraction/interference (wave).
  • For electrons, cite electron diffraction (wave) and deflection in electric/magnetic fields (particle).
Energy Levels & Wave-Particle Duality Overview