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The title and intro of Compton's paper reads: THE PHYSICAL REVIEW A OUANTUM THEORY OF THE SCATTERING OF X-RAYS BY LIGHT ELEMENTS BY ARTHUR H. COMPTON ABSTRACT A quantum theory of the scattering of X-rays and y-rays by light elements. -The hypothesis is suggested that when an X-ray quantum is scattered it spends all of its energy and momentum upon some particular electron. This electron in turn scatters the ray in some definite direction. The change in momentum of the X-ray quantum due to the change in its direction of propagation results in a recoil of the scattering electron. The energy in the scattered quantum is thus less than the energy in the primary quantum by the kinetic energy of recoil of the scattering electron. The corresponding increase in the wave-length of the scattered beam is \lambda_\theta - \lambda_0 = (2h/mc) sin^2 (\theta/2) = 0.0484 sin^2 (\theta/2), where h is the Planck constant, m is the mass of the scattering electron, c is the velocity of light, and \theta is the angle between the incident and the scattered ray. Hence the increase is independent of the wave-length.