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
Abstract
It has been previously shown that any measurement system specific relationship (SSR)/ mathematicalmodel Y_d = f_d ({X_m}) or so is bracketed with certain parameters which should prefix the achievableaccuracy/ uncertainty (e_d^Y) of a desired result y_d. Here we clarify how the elementspecificexpressions 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 measurementuncertainty (u_m) could be purely random by origin or not, e_d^Y should be a systematic parameter. Further, by propertygoverningfactors, any SSR should belong to either variableindependent (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 measurementaccuracy(s) u_m(s), as a function of the measurablevariable(s) X_m(s). However, the required computationalstep has been shown to behave as an errorsink in the overall process of indirect measurement in question.
 Publication:

arXiv eprints
 Pub Date:
 February 2020
 DOI:
 10.48550/arXiv.2003.00297
 arXiv:
 arXiv:2003.00297
 Bibcode:
 2020arXiv200300297D
 Keywords:

 Physics  General Physics
 EPrint:
 Typographical mistakes are corrected, and the abstract is somewhat elaborated