{"title":"论有限同步辐射光束在单晶中的莱氏衍射理论","authors":"V. G. Kohn, I. A. Smirnova","doi":"10.1134/S1063774524600492","DOIUrl":null,"url":null,"abstract":"<p>The features of the Bragg diffraction of coherent synchrotron radiation from the atomic lattice of a single crystal in the Laue geometry have been studied theoretically, provided that the radiation beam is limited by a relatively large slit placed in front of the crystal. The method of numerical simulation is used, and dependences of the intensity distribution are obtained for different crystal thicknesses. It is shown that the slit edges introduce inhomogeneous intensity distortions inside the Borrmann fan with an angle of 2θ<sub>B</sub>, where θ<sub>B</sub> is the Bragg angle. In the area where the triangles intersect the intensity distribution is similar to that for the diffraction from a slit in air at a certain (large) distance. An equation for the correspondence between the distance and crystal thickness is derived, which describes well the numerical calculation results.</p>","PeriodicalId":527,"journal":{"name":"Crystallography Reports","volume":"69 3","pages":"295 - 301"},"PeriodicalIF":0.6000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Theory of Diffraction of Limited Synchrotron Radiation Beams in Single Crystal in the Laue Case\",\"authors\":\"V. G. Kohn, I. A. Smirnova\",\"doi\":\"10.1134/S1063774524600492\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The features of the Bragg diffraction of coherent synchrotron radiation from the atomic lattice of a single crystal in the Laue geometry have been studied theoretically, provided that the radiation beam is limited by a relatively large slit placed in front of the crystal. The method of numerical simulation is used, and dependences of the intensity distribution are obtained for different crystal thicknesses. It is shown that the slit edges introduce inhomogeneous intensity distortions inside the Borrmann fan with an angle of 2θ<sub>B</sub>, where θ<sub>B</sub> is the Bragg angle. In the area where the triangles intersect the intensity distribution is similar to that for the diffraction from a slit in air at a certain (large) distance. An equation for the correspondence between the distance and crystal thickness is derived, which describes well the numerical calculation results.</p>\",\"PeriodicalId\":527,\"journal\":{\"name\":\"Crystallography Reports\",\"volume\":\"69 3\",\"pages\":\"295 - 301\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Crystallography Reports\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063774524600492\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CRYSTALLOGRAPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Crystallography Reports","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1063774524600492","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CRYSTALLOGRAPHY","Score":null,"Total":0}
On the Theory of Diffraction of Limited Synchrotron Radiation Beams in Single Crystal in the Laue Case
The features of the Bragg diffraction of coherent synchrotron radiation from the atomic lattice of a single crystal in the Laue geometry have been studied theoretically, provided that the radiation beam is limited by a relatively large slit placed in front of the crystal. The method of numerical simulation is used, and dependences of the intensity distribution are obtained for different crystal thicknesses. It is shown that the slit edges introduce inhomogeneous intensity distortions inside the Borrmann fan with an angle of 2θB, where θB is the Bragg angle. In the area where the triangles intersect the intensity distribution is similar to that for the diffraction from a slit in air at a certain (large) distance. An equation for the correspondence between the distance and crystal thickness is derived, which describes well the numerical calculation results.
期刊介绍:
Crystallography Reports is a journal that publishes original articles short communications, and reviews on various aspects of crystallography: diffraction and scattering of X-rays, electrons, and neutrons, determination of crystal structure of inorganic and organic substances, including proteins and other biological substances; UV-VIS and IR spectroscopy; growth, imperfect structure and physical properties of crystals; thin films, liquid crystals, nanomaterials, partially disordered systems, and the methods of studies.