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Analysis of definitions of key metrological terms in the International System of Units

https://doi.org/10.32446/0368-1025it.2025-1-56-62

Abstract

In preparation for the reform of the International System of Units at the 26th General Conference on Weights and Measures in 2018, the Consultative Committee for Units of the International Committee for Weights and Measures proposed, along with changing the definitions of the four base units (kilogram, ampere, kelvin and mole), also changing the definition of the term unit of quantity. This proposal caused a wide discussion in the metrology community and was not accepted by the majority of participants in the discussion. It was decided to continue the discussion of this issue after the 26th General Conference on Weights and Measures. The article analyzes the definitions of the key metrological terms quantity, unit of quantity, value of quantity presented in the SI Brochure, the standards of the International Organization for Standardization, the International Vocabulary of Metrology and the proposals of the working group on key metrological terms created by the Consultative Committee for Units in 2019. It is shown that in all of the listed publications, the definitions of these terms have both physical, mathematical and linguistic inaccuracies and inconsistencies.

About the Authors

F. V. Bulygin
Research Center for Applied Metrology – Rostest
Russian Federation

Fedor V. Bulygin



M. I. Kalinin
Research Center for Applied Metrology – Rostest
Russian Federation

Mikhail I. Kalinin



References

1. Brownstein K. R. Angles – Let’s treat them squarely. American Journal of Physics, 65(7), 605–614 (1997). https://doi.org/10.1119/1.18616

2. Kalinin M. I. Plane and solid angles in the International System of Units. Legal and Applied Metrology, (6(157)), 12–16 (2018). (In Russ.) https://www.elibrary.ru/ytodzr

3. Quincey P., Mohr P. J. and Phllips W. D. Angles are inherently neither length ratios nor dimensionless. Metrologia, 56(4), 043001 (2019). https://doi.org/10.1088/1681-7575/ab27d7

4. Kalinin M. I. On the status of plane and solid angles in the International System of Units (SI). Metrologia, 56(6), 065009 (2019). https://doi.org/10.1088/1681-7575/ab3fbf; https://www.elibrary.ru/kygxra

5. Kalinin M. I., Isaev L. K., Bulygin F. V. Dimensions of plane and solid angles and their units in the international System of units (SI). Measurement Techniques, 63(10), 798–805 (2021). https://doi.org/10.1007/s11018-021-01855-y

6. Leonard B. P. Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI). Metrologia, 58(5), 052001 (2021). https://doi.org/10.1088/1681-7575/abe0fc; https://www.elibrary.ru/vobmwz

7. JCGM/WG 2 Document N 341. International Vocabulary of Metrology – Basic and General Concepts and Associated Terms (VIM). 3rd Edition. JCGM, BIPM (2008).

8. International Committee for Weights and Measures. Proc. 107th Meeting, 20–22 June (2018). https://www.bipm.org/documents/20126/30120035/CIPM2018-EN.pdf/f4f7af64-f595-9e8b-3bdb-9b737aa8118c

9. Vinogradov I. M. (ed.). Mathematical Encyclopedia. In 5 vol., vol. 1, “Quantity”. Ed. by V. I. Bityutskov et al. Sovetskaya enciklopediya Publ., Moscow (1977). (In Russ.)

10. Okrepilov V. V. (ed.). Russian Metrological Encyclopedia. In 2 vol., vol. 1. IIF Liki Rossii, St. Petersburg (2015). (In Russ.)

11. Domotor Z., Batitsky V. An Algebraic Approach to Unital Quantities and their Measurement. Measurement Science Review, 16(3), 103–126 (2016). https://doi.org/10.1515/msr-2016-0014

12. Mari L., Ehrlich Ch., Pendrill L. Measurement units as quantities of objects or values of quantities: a discussion. Metrologia, 55(5), 716–721 (2018). https://doi.org/10.1088/1681-7575/aad8d8

13. Taylor B. N. Quantity Calculus, Fundamental Constants, and SI Units. Journal of Research of the National Institute of Standards and Technology, 123(3), 123008 (2018). https://doi.org/10.6028/jres.123.008

14. Flater D. Ambiguity of the term quantity value in metrology. NIST Interagency, Rep. 8368, 1–21 (2021). https://doi.org/10.6028/NIST.IR.8368

15. Krystek M. P. James Clerk Maxwell on quantities and units. History and Philosophy of Physics, (2021). https://arxiv.org/abs/2108.06125v1

16. Consultative Committee for Units (CCU). Rep. 24th Meeting to the International Committee for Weights and Measures, 8–9 October (2019). https://www.bipm.org/documents/20126/41599414/CCU24.pdf/868aebb6-4d09-9a3b-7b75-33b3355aef50

17. Flater D. Dealing with counts and other quantal quantities in quantity calculus. Measurement, 206(1), 112226 (2023). https://doi.org/10.1016/j.measurement.2022.112226; https://www.elibrary.ru/iqqbxq

18. Flater D., Foxvog D., Kacker R. A unified model of core metrological concepts. NIST Interagency, Report 8530, 1–26 (2024). https://doi.org/10.6028/nist.ir.8530

19. Consultative Committee for Units (CCU). Rep. 25th Meeting to the International Committee for Weights and Measures, 21–23 September (2021). https://www.bipm.org/documents/20126/68201438/CCU25.pdf/ab1be833-d656-ae2e-36fa-feb04948ed4c


Review

For citations:


Bulygin F.V., Kalinin M.I. Analysis of definitions of key metrological terms in the International System of Units. Izmeritel`naya Tekhnika. 2025;74(1):56-62. (In Russ.) https://doi.org/10.32446/0368-1025it.2025-1-56-62

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ISSN 0368-1025 (Print)
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