量化衍射实验系统误差的两个指标:观测强度方差的系统误差和一致因子间隙。

IF 2.8 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology
Journal of Applied Crystallography Pub Date : 2025-06-20 eCollection Date: 2025-08-01 DOI:10.1107/S1600576725004376
Julian Henn
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引用次数: 0

摘要

单晶x射线和中子衍射实验中由于系统误差引起的加权一致因子的增加可以精确地量化,只要观测强度的估计标准不确定度s.u (I obs)足够精确。加权一致系数的增加量化了系统错误的“成本”。这是通过与特定数据集的最低可能加权一致因子进行比较来实现的。对314个已发表的来自无机、金属有机和有机化合物的数据集的应用表明,在样本中50%的小分子数据集中,系统误差将加权一致因子增加了惊人的大因子g = 3.31(或更多)。孪生,无序,忽视键密度和低能量污染的例子取自文献,并检查了加权一致因子的增加,这通常小于3。对于相对于大分子来说,相对较小的分子来说,g = 3.31的大值被解释为一个警告信号,即不仅存在预期的系统误差,如未建模的无序、未识别的孪生或忽略成键电子或类似的误差,而且还存在不足够精确的s.u (I obs)的常见系统误差。不充分的s.u (I obs)不仅会损害模型参数和模型参数误差;它们也对整个数据质量评估程序构成威胁,该程序至关重要地依赖于足够的s.u (I obs)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Two metrics for quantifying systematic errors in diffraction experiments: systematic errors in the variance of the observed intensities and agreement factor gap.

Two metrics for quantifying systematic errors in diffraction experiments: systematic errors in the variance of the observed intensities and agreement factor gap.

Two metrics for quantifying systematic errors in diffraction experiments: systematic errors in the variance of the observed intensities and agreement factor gap.

Two metrics for quantifying systematic errors in diffraction experiments: systematic errors in the variance of the observed intensities and agreement factor gap.

The increase in the weighted agreement factor due to systematic errors in single-crystal X-ray and neutron diffraction experiments can be quantified precisely, provided the estimated standard uncertainties of the observed intensities, s.u.(I obs), are sufficiently accurate. The increase in the weighted agreement factor quantifies the 'costs' of the systematic errors. This is achieved by comparison with the lowest possible weighted agreement factor for the specific data set. Application to 314 published data sets from inorganic, metal-organic and organic compounds shows that systematic errors increase the weighted agreement factor by a surprisingly large factor of g = 3.31 (or more) in 50% of the small-molecule data sets from the sample. Examples of twinning, disorder, neglect of bonding densities and low-energy contamination are taken from the literature and examined with respect to the increase in the weighted agreement factor, which is typically less than three. The large value g = 3.31 for the supposedly simple case of rather small molecules, as opposed to macromolecules, is interpreted as a warning sign that there are not only the expected remaining systematic errors, like not-modelled disorder, unrecognized twinning or neglect of bonding electrons or similar errors, but additionally a common systematic error of insufficiently accurate s.u.(I obs). Inadequate s.u.(I obs) may not just compromise the model parameters and model parameter errors; they are also a threat to the whole data quality evaluation procedure that relies crucially on adequate s.u.(I obs).

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来源期刊
CiteScore
10.00
自引率
3.30%
发文量
178
审稿时长
4.7 months
期刊介绍: Many research topics in condensed matter research, materials science and the life sciences make use of crystallographic methods to study crystalline and non-crystalline matter with neutrons, X-rays and electrons. Articles published in the Journal of Applied Crystallography focus on these methods and their use in identifying structural and diffusion-controlled phase transformations, structure-property relationships, structural changes of defects, interfaces and surfaces, etc. Developments of instrumentation and crystallographic apparatus, theory and interpretation, numerical analysis and other related subjects are also covered. The journal is the primary place where crystallographic computer program information is published.
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