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Characteristics of angular cross correlations studied by light scattering from two-dimensional microsphere films

机译:通过二维微球薄膜的光散射研究角互相关的特性

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摘要

Recently the analysis of scattering patterns by angular cross-correlation analysis (CCA) was introduced to reveal the orientational order in disordered samples with special focus to future applications on x-ray free-electron laser facilities. We apply this CCA approach to ultra-small-angle light-scattering data obtained from two-dimensional monolayers of microspheres. The films were studied in addition by optical microscopy. This combined approach allows to calculate the cross-correlations of the scattering patterns, characterized by the orientational correlation function Ψl(q), as well as to obtain the real-space structure of the monolayers. We show that CCA is sensitive to the orientational order of monolayers formed by the microspheres which are not directly visible from the scattering patterns. By mixing microspheres of different radii the sizes of ordered monolayer domains is reduced. For these samples it is shown that Ψl(q) quantitatively describes the degree of hexagonal order of the two-dimensional films. The experimental CCA results are compared with calculations based on the microscopy images. Both techniques show qualitatively similar features. Differences can be attributed to the wave-front distortion of the laser beam in the experiment. This effect is discussed by investigating the effect of different wave fronts on the cross-correlation analysis results. The so-determined characteristics of the cross-correlation analysis will be also relevant for future x-ray-based studies
机译:最近,引入了通过角互相关分析(CCA)的散射模式分析,以揭示无序样品中的取向顺序,并特别关注将来在X射线自由电子激光设备上的应用。我们将此CCA方法应用于从微球的二维单层获得的超小角度光散射数据。另外通过光学显微镜研究了膜。这种组合方法可以计算散射图的互相关性,以方向相关函数Ψl(q)为特征,并获得单层的实空间结构。我们表明,CCA对由微球形成的单层的取向顺序敏感,这些微球不能直接从散射图案中看到。通过混合不同半径的微球,减小了有序单层结构域的大小。对于这些样品,表明Ψl(q)定量地描述了二维膜的六边形的程度。将CCA实验结果与基于显微镜图像的计算结果进行比较。两种技术在质量上都显示出相似的特征。差异可归因于实验中激光束的波前畸变。通过研究不同波前对互相关分析结果的影响来讨论这种影响。互相关分析的确定特性也将与未来基于X射线的研究相关

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