[Mesure de la constante de Boltzmann utilisant l'élargissement Doppler avec une incertitude relative de ]
Dans cet article, nous présentons l'expérience développée au Laboratoire de physique des lasers pour la mesure optique de la constante de Boltzmann . Cette nouvelle approche ramène la détermination de à une mesure de fréquence. L'expérience consiste à mesurer le plus exactement possible le profil d'absorption Doppler d'une raie de vibration–rotation de l'ammoniac à l'équilibre thermodynamique. Ce profil reflète la distribution de Maxwell–Boltzmann des vitesses moléculaires le long du faisceau laser. Une analyse de la forme de la raie d'absorption conduit à une détermination de l'élargissement Doppler, proportionnel à , et donc à une mesure de la constante de Boltzmann. La mesure spectroscopique est réalisée à l'aide d'un laser à CO2 ultra-stable de longueur d'onde . La cellule d'absorption est placée dans un thermostat qui permet de contrôler la température autour de 273,15 K avec une incertitude de 1,4 mK. Ces mesures nous ont conduit récemment à une détermination de avec une incertitude relative de . Cela représente, pour des temps de mesure comparables, un gain d'un ordre de grandeur par rapport à notre précédente mesure publiée en Daussy et al. (2007).
In this article, we describe an experiment performed at the Laboratoire de physique des lasers and dedicated to an optical measurement of the Boltzmann constant . With the proposed innovative technique, determining comes down to an ordinary frequency measurement. The method consists in measuring as accurately as possible the Doppler absorption profile of a rovibrational line of ammonia in thermal equilibrium. This profile is related to the Maxwell–Boltzmann molecular velocity distribution along the laser beam. A fit of the absorption line shape leads to a determination of the Doppler width proportional to and thus to a determination of the Boltzmann constant. The laser source is an ultra-stable CO2 laser with a wavelength . The absorption cell is placed in a thermostat, keeping the temperature at 273.15 K within 1.4 mK. We were able to measure with a relative uncertainty as small as , which represents an improvement of an order of magnitude for an integration time comparable to our previous measurement published in 2007.
Mot clés : Constantes fondamentales, Spectroscopie laser, Forme de raie d'absorption
@article{CRPHYS_2009__10_9_883_0,
author = {Khelifa Djerroud and Cyril Lemarchand and Alexandre Gauguet and Christophe Daussy and Stephan Briaudeau and Beno{\^\i}t Darqui\'e and Olivier Lopez and Anne Amy-Klein and Christian Chardonnet and Christian J. Bord\'e},
title = {Measurement of the {Boltzmann} constant by the {Doppler} broadening technique at a $ 3.8\times {10}^{-5}$ accuracy level},
journal = {Comptes Rendus. Physique},
pages = {883--893},
publisher = {Elsevier},
volume = {10},
number = {9},
year = {2009},
doi = {10.1016/j.crhy.2009.10.020},
language = {en},
}
TY - JOUR
AU - Khelifa Djerroud
AU - Cyril Lemarchand
AU - Alexandre Gauguet
AU - Christophe Daussy
AU - Stephan Briaudeau
AU - Benoît Darquié
AU - Olivier Lopez
AU - Anne Amy-Klein
AU - Christian Chardonnet
AU - Christian J. Bordé
TI - Measurement of the Boltzmann constant by the Doppler broadening technique at a $ 3.8\times {10}^{-5}$ accuracy level
JO - Comptes Rendus. Physique
PY - 2009
SP - 883
EP - 893
VL - 10
IS - 9
PB - Elsevier
DO - 10.1016/j.crhy.2009.10.020
LA - en
ID - CRPHYS_2009__10_9_883_0
ER -
%0 Journal Article
%A Khelifa Djerroud
%A Cyril Lemarchand
%A Alexandre Gauguet
%A Christophe Daussy
%A Stephan Briaudeau
%A Benoît Darquié
%A Olivier Lopez
%A Anne Amy-Klein
%A Christian Chardonnet
%A Christian J. Bordé
%T Measurement of the Boltzmann constant by the Doppler broadening technique at a $ 3.8\times {10}^{-5}$ accuracy level
%J Comptes Rendus. Physique
%D 2009
%P 883-893
%V 10
%N 9
%I Elsevier
%R 10.1016/j.crhy.2009.10.020
%G en
%F CRPHYS_2009__10_9_883_0
Khelifa Djerroud; Cyril Lemarchand; Alexandre Gauguet; Christophe Daussy; Stephan Briaudeau; Benoît Darquié; Olivier Lopez; Anne Amy-Klein; Christian Chardonnet; Christian J. Bordé. Measurement of the Boltzmann constant by the Doppler broadening technique at a $ 3.8\times {10}^{-5}$ accuracy level. Comptes Rendus. Physique, Volume 10 (2009) no. 9, pp. 883-893. doi : 10.1016/j.crhy.2009.10.020. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.10.020/
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