The Intensity of the Scattering of X-Rays by Recoiling Electrons

Abstract

Theoretical calculation of the intensity of scattering of x-rays by recoiling electrons.---(1) On the Compton hypothesis of moving electrons with a velocity in the direction of the incident ray equal to $\frac{\mathrm{ca}}{(1+a)}$ where $a=\frac{h}{\mathrm{mc}{\ensuremath{\lambda}}_{0}}$ a calculation according to the usual electrodynamics when correlated with Compton's previous result, gives the same total scattering as that obtained by Thomson, The fact that experiments with very short wave-lengths do not agree with this result shows that Compton's hypothesis is not satisfactory without further modification. (2) If we assume the virtual moving oscillators proposed by Bohr, Kramers and Slater, in view of the similarity of these to moving electrons, the result is the same, and the lack of agreement with experiment indicates that the exact form of the correspondence principle set up by these authors fails to answer the intensity problem in the scattering of x-radiation.