Metrology and Measurement Systems (Mar 2022)
An alternative approach for dissemination of mass unit after the new definition of the kilogram
Abstract
The paper proposes an alternative approach to the dissemination of the mass unit in the context of the new definition of the kilogram. Considering the fact that redefinition allows mass to be directly realized at any value, the paper presents a model of the dissemination of mass which can be used for different series in grams, where the measurements are performed in the downward direction, but using 1 g as the reference standard (whose mass value is assumed to be determined after the redefinition using the capacitive or electrostatic techniques). The subdivision method presented (suitable for �� 1 weights) has as its starting point the approach used by Mihailov-Romanowski for the calibration of series in kilograms which uses an orthogonal system of equations. Thus, according to this method, a solution for obtaining the orthogonality of a system can be the use as defining standard of the ratio between the mass having the highest nominal value in the set and the standard (unit). The results obtained for a set of weights from 10 to 1 g using the subdivision method, in accordance with the Mihailov-Romanowski principle, are validated with those obtained with the multiplication method, where the measurements start from 1 to 10 g, as in the case of the kilogram series. The mass values obtained with both methods are equal, while the estimated uncertainties are slightly different, yet insignificant. The results obtained previously for the same sequence of weights using the traditional dissemination method, where the 1 kg standard is used as reference, are also presented in the paper. The results show that only three weights out of six have a mass value insignificantly different by 1 x 10 -4 mg compared to those obtained with the methods presented in this article, but, in terms of uncertainty, there are some differences. The way of disseminating the mass unit presented in this article can be extended to other different sequences of nominal values such as: (5...1) g, (20...1) g, (50...1) g or (500...100) g if the reference standard is 100 g.
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