A Quantum Theory of the Scattering of X-rays by Light Elements
Abstract
A quantum theory of the scattering of X-rays and $\ensuremath{\gamma}$-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 ${\ensuremath{\lambda}}_{\ensuremath{\theta}}\ensuremath{-}{\ensuremath{\lambda}}_{0}=(\frac{2h}{\mathrm{mc}}) {sin}^{2} \frac{1}{2}\ensuremath{\theta}=0.0484 {sin}^{2} \frac{1}{2}\ensuremath{\theta}$, where $h$ is the Planck constant, $m$ is the mass of the scattering electron, $c$ is the velocity of light, and $\ensuremath{\theta}$ is the angle between the incident and the scattered ray. Hence the increase is independent of the wave-length. The distribution of the scattered radiation is found, by an indirect and not quite rigid method, to be concentrated in the forward direction according to a definite law (Eq. 27). The total energy removed from the primary beam comes out less than that given by the classical Thomson theory in the ratio $\frac{1}{(1+2\ensuremath{\alpha})}$, where…
Read the paper
Related studies
- Developing high safety Li-metal anodes for future high-energy Li-metal batteries: strategies and perspectives
- Structure and Energy Transfer in Photosystems of Oxygenic Photosynthesis
- Ground- and Space-Based Gamma-Ray Astronomy
- Energy Functions in De Novo Protein Design: Current Challenges and Future Prospects
- Electronic structure of ions and molecules in solution: a view from modern soft X-ray spectroscopies
- Arising 2D Perovskites for Ionizing Radiation Detection
Go deeper in Evidence Hub
Evidence Hub adds a study data sheet (design, sample size, evidence level, key numbers), an AI summary and a chat grounded in the paper's text.