Trajectory method in the theory of laue diffraction of X-rays in crystals: 1. General formulas and accuracy estimation

Kohn VG

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Trajectory method in the theory of laue diffraction of X-rays in crystals: 1. General formulas and accuracy estimation

机译：晶体X射线劳厄衍射理论中的轨迹法：1.通用公式和精度估计

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The most general and successive formulation of the trajectory method for solving the Takagi equations in the description of diffraction of a spatially inhomogeneous X-ray wave in ideal and deformed crystals is presented. The trajectories are obtained by variation in the common phase of the transmitted and diffracted waves similarly to classical mechanics. An algorithm of numerical calculation using the trajectory method has been developed and the results of the calculations are reported for the case of diffraction of a spherical wave in an ideal crystal. It is shown that the trajectory method provides high numerical accuracy in description of pen-dellosung fringes everywhere except for peculiar points, where trajectories approach very close to each other.

机译：在理想和变形晶体中空间非均匀X射线波的衍射描述中，提出了用于求解Takagi方程的轨迹方法的最一般和最连续的公式。类似于经典力学，通过透射波和衍射波的公共相位的变化获得轨迹。已经开发了使用轨迹法的数值计算算法，并且报告了在理想晶体中球面波衍射情况下的计算结果。结果表明，轨迹法在描述笔触三角条纹的各个地方都具有很高的数值精度，除了奇特点外，在这些特殊点处，轨迹非常接近。

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《Crystallography reports》 |2007年第4期|共6页
作者
Kohn VG;
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正文语种 eng
中图分类晶体学;
关键词
PENDELLOSUNG FRINGES; DISTORTED CRYSTALS;

机译：PENDELLOSUNG条纹;扭曲的水晶;

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1. Trajectory method in the theory of laue diffraction of X-rays in crystals: 1. General formulas and accuracy estimation [J] . Kohn VG Crystallography reports . 2007,第4期

机译：晶体X射线劳厄衍射理论中的轨迹法：1.通用公式和精度估计
2. Formulation of dynamical theory of X-ray diffraction for perfect crystals in the Laue case using the Riemann surface [J] . Saka Takashi Acta crystallographica. Section F, Structural biology communications . 2016,第3期

机译：利用RIEMANN表面的X射线衍射动力学理论的制定
3. Instruments and Methods omplete determination of ice crystal orientation using Laue X-ray diffraction method [J] . Atsushi MIYAMOTO, Ilka WEIKUSAT, Takeo HONDOH Journal of Glaciology . 2011,第201期

机译：劳厄X射线衍射法完全测定冰晶取向的仪器和方法
4. X-ray diffraction efficiency of bent GaAs mosaic crystals for the LAUE project [C] . C. Ferrari, E. Buffagni, E. Bonnini, Optics for EUV, x-ray, and gamma-ray astronomy VI . 2013

机译：LAUE项目中弯曲GaAs镶嵌晶体的X射线衍射效率
5. 1. X-ray crystallographic analyses of the gene V protein from Ff bacteriophage, a single-stranded DNA-binding protein, and its Y41 mutants 2. X-ray crystallographic analyses of several anticancer drugs and their interactions with DNA. [D] . Guan, Yue. 1994

机译：1.来自Ff噬菌体的V基因基因，单链DNA结合蛋白及其Y41突变体的X射线晶体学分析。2.几种抗癌药物的X射线晶体学分析及其与DNA的相互作用。
6. X-ray Laue diffraction from crystals of xylose isomerase. [O] . G K Farber, P Machin, S C Almo, 1988

机译：木糖异构酶晶体的X射线劳厄衍射。
7. Complete determination of ice crystal orientation using Laue X-ray diffraction method [O] . Miyamoto, Atsushi, Weikusat, Ilka, Hondoh, Takeo 2011

机译：使用劳厄X射线衍射法完全确定冰晶的取向
8. New method to do time resolved, x-ray diffraction studies: The rotating crystal Laue method. [R] . G. S. Knapp M. A. Beno 1991

机译：做时间分辨的新方法，X射线衍射研究：旋转晶体劳厄方法。

Trajectory method in the theory of laue diffraction of X-rays in crystals: 1. General formulas and accuracy estimation

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