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Compton scattering

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Photon–electron collision conserves energy and momentum.

Key relationΔλ = h/mc(1−cosθ)

A photon scattering off an electron loses energy and its wavelength increases by Δλ = (h/mₑc)(1 − cosθ). Conservation of energy and momentum explains it with the photon as a particle.

Worked example

Maximum shift of 2.43×10⁻¹² m at 180°.

Common mistake

The effect needs short wavelengths such as X-rays.

In more detail

In Compton scattering, a photon collides with an electron and loses energy and momentum, changing its wavelength. This result confirmed that light has momentum.

Real-world uses

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Frequently asked questions

Why does the wavelength increase?

Because the photon transfers some of its momentum and energy to the electron, lowering its frequency.

Does light really have momentum?

Yes. The photon momentum is h divided by its wavelength.

Why does the wavelength change?

The photon transfers momentum and energy to the electron, so the scattered photon has a longer wavelength.

Related topics in Momentum & Collisions

Ice-skater spin · Kepler's second law from L · Collision of particles in physics labs · Newton's cradle · Momentum of light · Radiation pressure

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