The Intensity of Reflected X-Rays and the Distribution of Electrons in Crystals
- 1 May 1928
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (5), 717-727
- https://doi.org/10.1103/PhysRev.31.717
Abstract
From the intensities of x-rays reflected in different orders, atomic structurefactor (or ) curves may be obtained from Darwin's formula. Duane and Compton, using different arguments, have shown that the method of Fourier analysis may be applied to a set of values to obtain radial electron-distribution (or ) curves for the atoms of a crystal. However, Williams (Phil. Mag. 2, 657) and Jauncey (Phys. Rev. 29, 757) have suggested that the intensity of reflected x-rays is less than that on the classical theory because of the modified scattering of the Compton effect occurring at the expense of regular reflection. According to Williams and Jauncey, the number of electrons scattering coherently in the reflection process is a function of the angle of scattering and hence the method of Fourier analysis is invalid because this method depends on the assumption that the number of diffracting centers per atom of the crystal is independent of the angle of reflection. Havighurst (Phys. Rev. 31, 16) takes issue with Williams and Jauncey on the following grounds: (1) A Fourier analysis of an experimental curve gives a curve which is reasonable (2) A Fourier analysis of the unmodified values calculated for a model atom gives a curve which agrees with the model and which roughly agrees with the experimental curve (3) A Fourier analysis of the modified values (i.e. values modified by the Compton effect) gives a curve which is unreasonable and does not at all agree with the experimental curve.
Keywords
This publication has 15 references indexed in Scilit:
- The Scattering of X-Rays and Electron Distribution in the Atoms of CrystalsPhysical Review B, 1928
- Theory of the Intensity of Scattered X-RaysPhysical Review B, 1927
- Electron Distribution in the Atoms of Crystals. Sodium Chloride and Lithium, Sodium and Calcium FluoridesPhysical Review B, 1927
- The Intensity of Reflection of X-Rays by Powdered Crystals. II. The Effect of Crystal SizePhysical Review B, 1926
- The Intensity of Reflection of X-Rays by Powdered Crystals, I. Sodium Chloride and Sodium, Lithium and Calcium FluoridesPhysical Review B, 1926
- LVIII. The Compton effect and the reflexion of X-rays by crystalsJournal of Computers in Education, 1926
- LXXXI.The intensity of reflexion of X-rays by crystalsJournal of Computers in Education, 1926
- The Calculation of the X-Ray Diffracting Power at Points in a CrystalProceedings of the National Academy of Sciences, 1925
- Quantum Theory of the Intensity of the Modified Band in the Compton EffectPhysical Review B, 1925
- Quantum Theory of the Unmodified Spectrum Line in the Compton EffectPhysical Review B, 1925