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Introduction
In this article we take as our starting point the original equations which Compton drew up and solved in his ground-breaking 1925 article:
From the above equations, Compton solved for two variables namely ##\beta## the ratio of electron speed to the velocity of light, and for ##\nu_{\theta}##, the frequency of the scattered photon. He re-wrote the solution for the second in wavelength form as it is commonly presented (albeit requiring us to replace ##2\sin^2 \frac{\theta}{2}## with ##1-\cos\theta## where ##\theta## is the scattering angle):
It is not quite clear why Compton wrote out the cosine rule with a “+” sign rather than a “-” in Equation 1 but, as noted by PF user...
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