3.2.2.4
Electron diffraction is evidence for the wave nature of particles
Energy Levels & Wave-Particle Duality — AQA A-Level Physics
- A beam of electrons fired at a thin graphite crystal produces a pattern of concentric rings on a screen behind it.
- This ring pattern is identical to what you get when X-rays (waves) diffract through the same crystal.
- Diffraction is a wave phenomenon. The fact that electrons produce diffraction patterns proves they have wave properties.
- Increasing the electron speed (by increasing the accelerating p.d.) decreases the de Broglie wavelengthThe minimum distance between two points on a wave that are in phase (e.g. crest to crest). Measured in metres (m).The wavelengthThe minimum distance between two points on a wave that are in phase (e.g. crest to crest). Measured in metres (m). associated with a moving particle, demonstrating wave-particle dualityThe concept that all matter and radiation exhibit both wave-like and particle-like properties. Particles have a de Broglie wavelengthThe minimum distance between two points on a wave that are in phase (e.g. crest to crest). Measured in metres (m).; 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.... The diffraction rings get smaller because shorter wavelengths diffract less.
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).