Wave-Particle Duality

Physics: AQA A Level, topic 12.2.4

De Broglie Hypothesis

De Broglie suggested particle-wave duality in his PhD thesis.

Light as a wave

Light as a wave

  • Light has properties which show that it behaves as a wave.
  • Light can produce interference patterns.
  • Light can be diffracted.
Light as a particle

Light as a particle

  • Light also has properties which show that it behaves as a particle:
  • The photoelectric effect is explained using a particle model.
De Broglie's hypothesis

De Broglie's hypothesis

  • De Broglie suggested particle-wave duality.
  • He suggested that all particles can behave as a wave, and all waves can behave as particles.
  • He linked the two with his equation for the de Broglie wavelength:
  • ρ=hλ \rho = \frac{h}{\lambda}.

Electron Diffraction

If de Broglie's hypothesis is correct, then particles such as electrons should show effects such as diffraction.

Electrons as a wave

Electrons as a wave

  • Following de Broglie’s hypothesis, many people wanted to find evidence of the electrons as a wave.
  • Electron diffraction was the first successful attempt.
Electron diffraction

Electron diffraction

  • When electrons are accelerated through a vacuum tube and interact through space in a graphite crystal, they can form an interaction pattern.
Diffraction pattern

Diffraction pattern

  • The electron diffraction pattern has a bright central disc, and circular bands around it.
  • As the electron speed increases, the pattern gets tighter.

Test yourself on Wave-Particle Duality

  • Which of the following is explained by viewing light as a particle?

  • Which is the correct formula for the de Broglie hypothesis?

  • What was the first piece of experimental evidence that electrons behave as waves?

  • Electron Diffraction Experiment

  • Which of these statements are true about electron diffraction?

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