  The undergraduate courses on modern physics generally consider the particle
interpretation of Compton effect. Motivated by a student's solution in an
undergraduate examination on modern physics here we consider the wave
characteristics of recoiled electrons in the Compton effect. The de Broglie
wavelength, wave and clock frequency of the scattered electrons are expressed
in terms of the wavelength and the frequency of the incident and the scattered
photons respectively using the familiar particle interpretation of the Compton
effect, where initially the electron is at rest and its spin is ignored. Both
non-relativistic and relativistic cases are considered. Numerical values of de
Broglie wavelength, wave and clock frequency of the scattered electron are
calculated for an incident photon energy that was used in the original
experiment of Compton as a function of the scattering angle of the recoiled
electron. Considering the relativistic effects which are however insignificant
for the de Broglie wavelength of the recoiled electron under these conditions,
the minimum value obtained is in the range of X-rays. The non-relativistic de
Broglie wave frequency obtained by neglecting the rest mass of the electron
leads to an underestimation of its value. The implications of de Broglie
wavelength and clock frequency for Compton scattering experiments are briefly
discussed and possible extensions of the obtained mathematical formulations are
indicated. The results are useful for understanding the wave-particle duality
of the recoiled electron in the context of the Compton effect.
