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The Planck constant of action and the Kibble balance

Bunker, PR; Yurchenko, Sergei N; (2023) The Planck constant of action and the Kibble balance. Journal of Molecular Spectroscopy , Article 111794. 10.1016/j.jms.2023.111794. (In press). Green open access

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Abstract

It has been shown previously (P. R. Bunker and Per Jensen, J. Quant. Spectrosc. Radiat. Transf., 243 (2020) 106835) that if we choose angles to have dimension, we have to distinguish between the Planck constant h, having the dimension of action angle−1 , and the Planck constant of action hA, having the dimension of action. In the present paper, we show that a further implication that results from choosing angles to have dimension is that the Kibble balance equation relating the mass weighed to the Planck constant has to involve both of the distinct fundamental constants h and hA. We derive that new equation here and show how it compares to the equation that is obtained if one chooses angles to be dimensionless as required in SI.

Type: Article
Title: The Planck constant of action and the Kibble balance
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jms.2023.111794
Publisher version: https://doi.org/10.1016/j.jms.2023.111794
Language: English
Additional information: © 2022 Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords: Planck constant, Kibble balance, Units, The angular dimension
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10171037
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