Free Compton Scattering Calculator

Calculate the wavelength shift in Compton scattering: delta_lambda = (h / (m_e * c)) * (1 - cos(theta)).

deg

Wavelength Shift

0.000000000002426 m

Shift (pm)2.4263 pm

Wavelength Shift vs Scattering Angle

Compton Scattering

When a photon scatters off a free electron, its wavelength increases. The shift depends only on the scattering angle.

Formula

delta_lambda = lambda_C * (1 - cos theta)

where lambda_C = h / (m_e c) = 2.426 pm is the Compton wavelength of the electron.

Maximum shift (2 lambda_C = 4.85 pm) occurs at 180 degrees (backscattering).

Example Calculation

Photon scattered at 90 degrees.

  1. 01delta_lambda = lambda_C * (1 - cos 90)
  2. 02lambda_C = 6.626e-34 / (9.109e-31 * 2.998e8) = 2.426e-12 m
  3. 03cos(90) = 0
  4. 04delta_lambda = 2.426e-12 * (1 - 0) = 2.426 pm

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