论文标题

在任何元素的同位素丰度和原子量的估计值中评估不确定性评估:不确定性理论的独特应用用于衍生结果

Uncertainty evaluation in the estimates of isotopic abundances and atomic weight of any element: a unique application of the theory of uncertainty for derived results

论文作者

Datta, B. P.

论文摘要

先前已经显示,任何测量系统特定关系(SSR)/数学模型y_d = f_d({x_m})左右都与某些参数相括起来,这些参数应以可实现的结果/不确定性/不确定性(E_D^Y)的前缀为前缀。在这里,我们阐明了同位素丰度和/或原子量的元素特异性表达如何彼此区分,甚至可以先验地预测可实现的精度。因此,无论测量不确定性(U_M)是否可以纯粹是随机的,e_d^y应该是系统的参数。此外,通过财产管理因素,任何SSR均应属于可变独立的(F.1)或依赖性(F.2)SSR/模型家族。这里的SSR被证明是F.2家族的成员。也就是说,可以指出的是,为什么确定同位素丰度或原子量的不确定性(e)也应有所不同,即使对于任何给定的测量结果(S)U_M(S)u_m(S),它是可测量可变的 - 可测量 - X_M(s)x_m(s)的函数。但是,所需的计算步骤已被证明是所讨论间接测量的整体过程中的错误 - 链接。

It has been previously shown that any measurement system specific relationship (SSR)/ mathematical-model Y_d = f_d ({X_m}) or so is bracketed with certain parameters which should prefix the achievable-accuracy/ uncertainty (e_d^Y) of a desired result y_d. Here we clarify how the element-specific-expressions of isotopic abundances and/ or atomic weight could be parametrically distinguished from one another, and the achievable accuracy be even a priori predicted. It is thus signified that, irrespective of whether the measurement-uncertainty (u_m) could be purely random by origin or not, e_d^Y should be a systematic parameter. Further, by property-governing-factors, any SSR should belong to either variable-independent (F.1) or -dependent (F.2) family of SSRs/ models. The SSRs here are shown to be the members of the F.2 family. That is, it is pointed out that, and explained why, the uncertainty (e) of determining an either isotopic abundance or atomic weight should vary, even for any given measurement-accuracy(s) u_m(s), as a function of the measurable-variable(s) X_m(s). However, the required computational-step has been shown to behave as an error-sink in the overall process of indirect measurement in question.

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