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首页> 外文期刊>The journal of physical chemistry, C. Nanomaterials and interfaces >Promoting Statistics of Distributions in Nanoscience: The Case of Improving Yield Strength Estimates from Ultrasound Scission
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Promoting Statistics of Distributions in Nanoscience: The Case of Improving Yield Strength Estimates from Ultrasound Scission

机译:促进纳米科学中分布的统计:以提高超声断裂的屈服强度估计为例

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摘要

Statistics often reveals unexpected errors. This is accepted and crucial in mature fields like medicine and experimental high energy particle physics, but usually underappreciated in still relatively novel areas. This work presents our strongest case in support for elevating the status of statistics in nanotechnology. Ultrasound fracturing can analyze tensile strengths of elongated nanostructures. It is rapidly growing in popularity. We calculate the location and shapes of the statistical distributions of fragment lengths and find that the usually employed analysis underestimates yield strengths. In unfortunate special cases, the true yield strength can be up to four times as high. Numerical simulations with generic assumptions still predict true values that are roughly twice as large as the result of the usually applied formulas. We suggest a different data analysis which removes the systematic error. It additionally, provides an improved estimate of the statistical error, which combines the variation in yield strengths with the method's measurement accuracy. A detailed reanalysis of previously published data supports our interpretations. The general discussion of the involved systematic and statistical errors calls for caution. Further confirmation by, for example, micro manipulation, is needed before ultrasound fracturing analysis can be trusted.
机译:统计数据通常会显示意外错误。在医学和实验性高能粒子物理等成熟领域,这是公认的并且至关重要的,但是在相对较新的领域中,人们通常对此并不重视。这项工作为支持提高纳米技术中的统计地位提供了最有力的支持。超声断裂可以分析细长纳米结构的拉伸强度。它的受欢迎程度正在迅速增长。我们计算了片段长度统计分布的位置和形状,发现通常使用的分析低估了屈服强度。在不幸的特殊情况下,真正的屈服强度可能高达四倍。具有通用假设的数值模拟仍然预测真实值大约是通常应用公式的结果的两倍。我们建议进行另一种数据分析,以消除系统错误。此外,它还提供了改进的统计误差估计,将屈服强度的变化与该方法的测量精度结合在一起。对以前发布的数据进行详细的重新分析可以支持我们的解释。对所涉及的系统和统计错误的一般讨论需要谨慎。在可以相信超声压裂分析之前,需要通过例如微操作的进一步确认。

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