The influence of refinement strategies on the wavefunctions derived from an experiment

Bruno Landeros‐Rivera, J. Contreras‐García, P. Dominiak
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Abstract

The synergy between theory and experiment found in X-ray wavefunction refinement (XWR) makes it one of the most compelling techniques available for chemical physics. The foremost benefit of XWR – obtaining wavefunctions constrained to experimental data – is at the same time its Achilles heel, because of the dependence of the results on the quality of both empirical and theoretical data. The purpose of this work is to answer the following: What is the effect of the refinement strategy and manipulation of input data on the physical properties obtained from XWR? With that in mind, cutoffs based on data resolution and F/σ(F) ratios were applied for both steps of XWR, the Hirshfeld atom refinement (HAR) and the X-ray constrained wavefunction fitting (XCW), for four selected systems: sulfur dioxide, urea, carbamazepine and oxalic acid. The effects of changing the weighting scheme or the method to transform σ(F 2) to σ(F) were also analysed. The results show that while HAR always reaches the same result, XCW is extremely sensitive to crystallographic data manipulation. This is a result of the variability of the experimental uncertainties for different resolution shells, and of not having proper standard uncertainties. Therefore, the use of distinct constraints for each resolution interval in XCW is proposed to fix this instability.
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从实验中得到了改进策略对波函数的影响
在x射线波函数精化(XWR)中发现的理论和实验之间的协同作用使其成为化学物理中最引人注目的技术之一。XWR的最大优点——获得受实验数据约束的波函数——同时也是它的致命弱点,因为结果依赖于经验数据和理论数据的质量。这项工作的目的是回答以下问题:精炼策略和输入数据的操作对从XWR获得的物理属性有什么影响?考虑到这一点,基于数据分辨率和F/σ(F)比的截止值应用于XWR的两个步骤,Hirshfeld原子精化(HAR)和x射线约束波函数拟合(XCW),选择了四种体系:二氧化硫,尿素,卡马西平和草酸。同时分析了不同的权重形式和将σ(f2)变换为σ(F)的方法所产生的影响。结果表明,HAR总是能得到相同的结果,而XCW对晶体学数据的操纵极为敏感。这是由于不同分辨率壳层的实验不确定度的变化,以及没有适当的标准不确定度的结果。因此,建议在XCW中对每个分辨率区间使用不同的约束来解决这种不稳定性。
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