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Compton wavelength calculator

Find the quantum length scale associated with a massive particle, using its rest mass.

Calculator

Rest mass
0
Ordinary Compton wavelength (pm)
2.42631024
Reduced Compton wavelength (pm)
0.38615927
Rest energy (eV)
510,998.94999616
Scientific notation for small or large results
QuantityValue in the stated units (SI for dimensioned outputs)
Rest mass9.1093837015e-31

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How this calculator works

The ordinary Compton wavelength is Planck constant divided by rest mass times light speed. The reduced wavelength uses hbar instead of h and is smaller by 2pi. Both are characteristic quantum scales; neither is a literal particle diameter. Enter a positive rest mass. A photon has zero rest mass and does not have a finite rest-mass Compton wavelength. The electron default uses the archived CODATA 2018 mass.

Formula

lambdaC = h/(mc); reduced lambdaC = hbar/(mc) = lambdaC/(2pi); rest energy = mc².

Worked example

An electron has ordinary Compton wavelength about 2.426310239 pm and reduced wavelength about 0.386159268 pm. Doubling the mass halves both wavelengths.

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Frequently asked questions

Which wavelength should I use in Compton scattering?

Use the ordinary wavelength h/(mc) in the standard wavelength-shift equation.

Is this the de Broglie wavelength?

No. De Broglie wavelength depends on momentum, whereas Compton wavelength depends on rest mass.

Can the mass be zero?

No finite rest-mass Compton wavelength exists at zero mass.

Sources

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