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Calculators/Physics/Compton scattering
Physics

Compton scattering calculator

Wavelength shift of a photon scattered off a free electron at a given angle.

What this calculator does

Compton scattering works out wavelength shift of a photon scattered off a free electron at a given angle. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaΔλ = (h/mₑc)(1−cosθ), h = 6.62607015×10⁻³⁴ J·s, mₑ = 9.1093837015×10⁻³¹ kg

The inputs explained

FieldWhat to enter
Incident wavelength (pm)A number, measured in pm. Starts at 71.
Scattering angle (°)A number, measured in °. Starts at 90.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with incident wavelength

Every other input is held at the calculator’s starting values while incident wavelength varies. Select any row to load that scenario into the calculator.

How the answer changes with incident wavelength
Incident wavelength (pm)Wavelength shift ΔλNew wavelength λ′Compton wavelength of the electron
35.52.426 pm37.926 pm2.426 pm
53.252.426 pm55.676 pm2.426 pm
712.426 pm73.426 pm2.426 pm
1072.426 pm109.426 pm2.426 pm
1422.426 pm144.426 pm2.426 pm
2132.426 pm215.426 pm2.426 pm