Quantum Physics · revision map · A-Level 9702, Topic 22

TOPIC 22 · QUANTUM PHYSICS
CAMBRIDGE INTERNATIONAL AS & A LEVEL PHYSICS 9702 · ONE-PAGE REVISION MAP
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QUANTUM PHYSICS22
The Photon: Energy & Momentum

Electromagnetic radiation is particulate: a photon is one quantum of energy, set only by its frequency.

E = hf = hc / λ
h = Planck constant · c = speed of light · λ = wavelength
  • Higher frequency means a more energetic photon.
  • The electronvolt is the handy energy unit: 1 eV = 1.6 × 10−19 J.
  • One photon carries momentum p = E / c.
λ c one photon, one quantum of energy E = hf
The Photoelectric Effect

One photon frees one electron, instantly. Below the threshold frequency f₀ no electrons escape, whatever the intensity.

hf = Φ + ½mv²max Φ = hf₀
Φ = work function (least energy to free an electron)
  • Max KE depends on frequency only, not intensity.
  • Brighter light (more intensity) gives more electrons, so a larger current.
  • Emission needs f ≥ f₀; energy is not stored up over time.
hf e− KE = hf − Φ metal surface
Wave-Particle Duality

Light and matter each show both natures. The photoelectric effect shows light as particles; interference and diffraction show it as waves.

  • Electrons diffracted by a crystal prove matter has a wave nature.
  • A faster particle has larger momentum, so a shorter wavelength.
λ = h / p = h / mv
λ = de Broglie wavelength · p = mv = momentum
e− gap diffraction pattern
Energy Levels & Line Spectra

An atom holds only discrete energy levels (energies are negative, with the ground state lowest).

  • A jump down emits a photon; a jump up absorbs one.
  • Fixed gaps give sharp emission and absorption lines.
  • A bigger gap means a higher f and shorter λ.
hf = E₂ − E₁
photon energy = difference between two levels
E₁ (ground) E₂ E₃ hf photon emitted on the jump down
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