Compton Scattering: Largest Shift & Min Energy Transfer

dertyden
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assume that a photon scattered by an electron initially at rest. which photon scattering angle corresponding to the largest compton shift and why? At what minimum photon energy can half of the photon energy be transferred onto the electron ??
 
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yes... I'm new here.. i think I'm not violate the rule , right?
 
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