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Compton Scattering Calculator

⚛ Atomic & Quantum. Use the Compton scattering formula to find wavelength shift, scattering angle θ: pick the value you want, type the others, and the answer updates as you go.

λ′−λ=hmec(1−cos⁡θ)\lambda' - \lambda = \dfrac{h}{m_e c}(1 - \cos\theta)
Wavelength shift2.4263 pm

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Wavelength shiftpm
Scattering angle θ°

Worked example

Find the wavelength shift when Scattering angle θ = 90 °.

Using λ' - λ = h/(me c)(1 - cosθ): Wavelength shift = 2.4263 pm.

Frequently asked questions

What is the formula for Compton scattering?

λ' - λ = h/(me c)(1 - cosθ).

What do the letters stand for, and what units are used?

Wavelength shift in pm, Scattering angle θ in °.

How do you calculate wavelength shift?

Put the values into λ' - λ = h/(me c)(1 - cosθ). For example, with Scattering angle θ = 90 °, wavelength shift = 2.4263 pm.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (wavelength shift, scattering angle θ) and fill in the others: it rearranges the formula for you.

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