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基于实空间位移关联的X射线热漫散射

X-ray Thermal diffuse scattering from real-space displacement correlations

Benjamin Fahl, Jonathan Bulled, Artem Korshunov, Dmitry Chernyshov, Yevheniia Kholina, Arkadiy Simonov

arXiv 2608.05051首次发表:更新:

AI 中文总结

该研究提出基于3D-dPDF的X射线热漫散射计算方法,经硅单晶实验验证,其R2残差低于5%,可同等分析热与静态关联无序。

AI 中文摘要

我们提出一种基于三维差分布对分布函数(3D-dPDF)计算X射线热漫散射的方法。在简谐近似下,该方法是精确的,因为它包含了所有阶次的多声子散射。单次傅里叶变换即可得到倒易空间大范围内的漫散射强度。我们将该方法与硅单晶上测量的实验漫散射进行了测试,除了标度和背景外未进行任何精修,计算得到的强度与测量强度的R2残差低于5%。由于该方法采用了与成熟Yell程序相同的对关联语言,热关联无序和静态关联无序在分析中处于同等地位。

英文摘要

We introduce a method for calculating X-ray thermal diffuse scattering based on the three-dimensional difference pair distribution function (3D-dPDF). Within the harmonic approximation the method is exact, as it includes all orders of multi-phonon scattering. A single Fourier transform delivers the diffuse intensity over large volumes of reciprocal space. We tested the method against experimental diffuse scattering measured on a silicon single crystal. With nothing refined beyond a scale and a background, the calculation reproduces the measured intensity to an R2 residual below 5%. Because the method uses the same pair-correlation language as the established Yell program, thermal and static correlated disorder enter the analysis on equal footing.

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