Classical derivation

If T is the kinetic energy of the recoil electron, we can write p2 in terms of T using the classical formulae pe = mev and T = — mev '

fl f cos 0

cos0

f cos0

(making the approximation that the term (Af /f )2 can be ignored)

Energy lost by the photon = kinetic energy gained by the electron hf - hf '= T

fi fi mec

( meC

' f - L ^

ff '

1 h J

1C C

fi h

( h ^

1 '-1 =

(1 - cos 0)

ËmeC J

Compton scattering formula

0 0

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