Determinations of the Boltzmann constant

Laurent Pitre; Mark D. Plimmer; Fernando Sparasci; Marc E. Himbert

doi:10.1016/j.crhy.2018.11.007

The new International System of Units / Le nouveau Système international d'unités

Determinations of the Boltzmann constant
[Déterminations de la constante de Boltzmann]

Laurent Pitre ¹ ; Mark D. Plimmer ¹ ; Fernando Sparasci ¹ ; Marc E. Himbert ¹

¹ LNE-CNAM, 61, rue du Landy, 93210 La Plaine-Saint-Denis, France

Comptes Rendus. Physique, The new International System of Units / Le nouveau Système international d’unités, Volume 20 (2019) no. 1-2, pp. 129-139.

Résumé
Abstract

Nous passons en revue des mesures récentes de la constante de Boltzmann, k, dont la valeur sera bientôt figée à $1, 380 649 \times 10^{- 23}$ J⋅K⁻¹ dans le cadre du nouveau Système international d'unités. Au-delà d'une description des éléments théoriques et de diverses techniques expérimentales (thermométrie acoustique, thermométrie à bruit de Johnson, thermométrie à constante diélectrique d'un gaz et élargissement Doppler en spectroscopie moléculaire), cet article met l'accent sur le rôle clé des calculs ab initio des propriétés thermophysiques des gaz, notamment celles de l'hélium 4. Sont également mentionnées des perspectives pour des améliorations en thermométrie dans le sillage de la nouvelle définition.

We review measurements of the Boltzmann constant, k, the value of which is soon to be fixed at exactly $1.380 649 \times 10^{- 23}$ J⋅K⁻¹ for the future revised Système international of units. In addition to a description of the theoretical background and of diverse experimental techniques (acoustic thermometry, Johnson noise thermometry, dielectric constant gas thermometry, and Doppler broadened molecular spectroscopy), the article highlights the decisive role of ab initio calculations of the thermophysical properties of gases, especially helium-4. Perspectives for improvements in thermometry are outlined in the wake of the new definition.

Publié le : 2018-12-20

DOI : 10.1016/j.crhy.2018.11.007

Keywords: Boltzmann constant, Primary thermometry, International System of Units (SI)
Mots-clés : Constante de Boltzmann, Thermométrie primaire, Système international d'unités

Affiliations des auteurs :

Laurent Pitre ¹ ; Mark D. Plimmer ¹ ; Fernando Sparasci ¹ ; Marc E. Himbert ¹

¹ LNE-CNAM, 61, rue du Landy, 93210 La Plaine-Saint-Denis, France

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     title = {Determinations of the {Boltzmann} constant},
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Laurent Pitre; Mark D. Plimmer; Fernando Sparasci; Marc E. Himbert. Determinations of the Boltzmann constant. Comptes Rendus. Physique, The new International System of Units / Le nouveau Système international d’unités, Volume 20 (2019) no. 1-2, pp. 129-139. doi : 10.1016/j.crhy.2018.11.007. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2018.11.007/

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