Comptes Rendus
no. 9
On the determination of the Boltzmann constant by means of precision molecular spectroscopy in the near-infrared
[Vers une détermination de la constante de Boltzmann par spectroscopie laser moléculaire dans l'infrarouge proche]
Antonio Castrillo1  ; Giovanni Casa1  ; Andrea Merlone2  ; Gianluca Galzerano3  ; Paolo Laporta3  ; Livio Gianfrani1
1 Dipartimento di Scienze Ambientali, Seconda Università di Napoli, and CNISM – Unità Napoli 2, Via Vivaldi 43, 81100 Caserta, Italy
2 Istituto Nazionale di Ricerca Metrologica, Torino, Italy
3 Dipartimento di Fisica, Politecnico di Milano and Istituto di Fotonica e Nanotecnologie (IFN-CNR), Milano, Italy
Comptes Rendus. Physique, Volume 10 (2009) no. 9, pp. 894-906.

La spectroscopie d'absorption laser, dans le domaine de l'infrarouge proche, s'avère une puissante méthode pour la thermométrie primaire à gaz. L'objectif expérimental est de déterminer la largeur Doppler à partir d'une analyse très précise de la forme des raies d'absorption linéaire observées dans un système atomique ou moléculaire en phase gazeuse à l'équilibre thermodynamique. Appliquée au gaz carbonique à la longueur d'onde de 2-μm, cette technique a permis de déterminer la constante de Boltzmann avec une exactitude relative de 1.6×10−4. Cet article analyse les facteurs principaux, de nature fondamentale ou instrumentale, qui peuvent limiter l'exactitude obtenue. Il suggère également que, en changeant la nature du gaz, la longueur d'onde du laser et la méthode d'étalonnage en fréquence, une exactitude meilleure que 10−6 en valeur relative peut être atteinte.

Intensity-stabilized laser absorption spectroscopy, in the near-infrared, represents an extremely powerful tool for primary gas thermometry, provided that an accurate procedure of frequency calibration is used. The method consists in retrieving the Doppler width from highly accurate observations of the shape of a spectral line in any atomic or molecular system in the gas phase, at the thermodynamic equilibrium. Applied to CO2 samples in the 2-μm wavelength region, it has recently allowed to perform a spectroscopic determination of the Boltzmann constant with a relative accuracy of 1.6×10−4. We here discuss the main factors, of both fundamental and technical nature, limiting the accuracy of this method and report on the possibility of approaching the target accuracy of 10−6 by changing the molecular sample, the operation wavelength and the frequency calibration technique.

Publié le :
DOI : 10.1016/j.crhy.2009.10.010
Keywords: Laser spectroscopy, Spectral line shapes, Determination of fundamental constants
Mot clés : Spectroscopie laser, Forme de raie, Constantes fondamentales
Antonio Castrillo 1 ; Giovanni Casa 1 ; Andrea Merlone 2 ; Gianluca Galzerano 3 ; Paolo Laporta 3 ; Livio Gianfrani 1

1 Dipartimento di Scienze Ambientali, Seconda Università di Napoli, and CNISM – Unità Napoli 2, Via Vivaldi 43, 81100 Caserta, Italy
2 Istituto Nazionale di Ricerca Metrologica, Torino, Italy
3 Dipartimento di Fisica, Politecnico di Milano and Istituto di Fotonica e Nanotecnologie (IFN-CNR), Milano, Italy 
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     title = {On the determination of the {Boltzmann} constant by means of precision molecular spectroscopy in the near-infrared},
     journal = {Comptes Rendus. Physique},
     pages = {894--906},
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Antonio Castrillo; Giovanni Casa; Andrea Merlone; Gianluca Galzerano; Paolo Laporta; Livio Gianfrani. On the determination of the Boltzmann constant by means of precision molecular spectroscopy in the near-infrared. Comptes Rendus. Physique, Volume 10 (2009) no. 9, pp. 894-906. doi : 10.1016/j.crhy.2009.10.010. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.10.010/

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