Quantum Theory of X-Ray Diffraction by a Crystal
Abstract
A new formulation of the theory of X-ray diffraction by a crystal using techniques of quantum field theory has been developed. The classical field amplitudes of previous theories are replaced, in the present work, by scattering amplitudes for the transmitted and diffracted beams which are obtained from a photon Green's function. The case of a single-Bragg reflection for a parallel sided crystal has been treated in detail. The scattering amplitudes for this case give results which are essentially those of the semi-classical dynamical theory with absorption. The application of the theory to the diffraction of a beam of finite width for the Laue geometry provides an alternate demonstration that the beam emerges from the exit surface of the crystal at a point given by the direction of energy flow.
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.