An improved acoustic method for the determination of the Boltzmann constant at LNE-INM/CNAM

Pitre, Laurent; Guianvarc'H, Cécile; Sparasci, F.; Guillou, Arnaud; Truong, Daniel; Hermier, Y.; Himbert, M.

doi:10.1016/j.crhy.2009.11.001

Cited by 50 publications

(73 citation statements)

References 19 publications

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“…Le transfert des électrons un par un à travers le système est réalisé de manière quasi-adiabatique avec une fréquence ajustable, f SET . Par conséquent, l'intensité du courant fournie par un tel dispositif s'écrit théoriquement avec la relation (7). Les pompes à électron étudiées au LNE ont été fabriquées, pour certaines, au PTB et, pour d'autres, au LPN (Fig.…”

Section: Les Enjeux De L'expérience Du Triangle Métrologique Quantiqueunclassified

“…Or, la valeur actuelle de cette constante a une incertitude qui est jugée trop grande. Le LCM/CNAM s'est engagé dans la détermination de la constante de Boltzmann en espérant atteindre de meilleurs niveaux d'incertitudes grâce à deux méthodes expérimentales : une méthode spectroscopique (en collaboration avec le LPL) [7] et une méthode acoustique (développement d'un résonateur acoustique sphé-rique contenant un gaz pur maintenu à la température du point triple de l'eau) [8].…”

Section: Introductionunclassified

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TRIMET : fermeture du triangle métrologique quantique à un niveau d'incertitude relative de 10–6

Feltin¹,

Steck²,

Devoille³

et al. 2011

R. franç. métrol.

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RésuméNous présentons les principaux résultats obtenus dans le cadre du projet ANR-TRIMET dont l'objectif était la fermeture du triangle mé-trologique quantique (TMQ) à un niveau d'incertitude relative de 10 −6 . L'expérience du TMQ consiste à réaliser une loi d'Ohm en utilisant les trois effets quantiques impliqués en métrologie électrique : l'effet Josephson (EJ), l'effet Hall quantique (EHQ) et l'effet tunnel à un élec-tron (SET). Le but est de vérifier la cohérence des constantes phéno-ménologiques K J , R K , Q X , associées respectivement à ces trois effets et théoriquement exprimées en fonctions des deux constantes fondamentales, h et e (constante de Planck et charge élémentaire). Cette expé-rience est une contribution importante à une redéfinition du Système international d'unités (SI). Nous montrons aussi que la fermeture du TMQ permettra la mise en oeuvre d'une nouvelle détermination de la charge élémentaire, e.

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Section: Les Enjeux De L'expérience Du Triangle Métrologique Quantiqueunclassified

Section: Introductionunclassified

TRIMET : fermeture du triangle métrologique quantique à un niveau d'incertitude relative de 10–6

Feltin¹,

Steck²,

Devoille³

et al. 2011

R. franç. métrol.

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“…A microwave technique can be used in combination with the acoustic measurements to determine the cavity dimensions as a function of temperature and pressure [7,13]. This experimental technique allows the measurement of the thermal expansion of spherical cavities in acoustic thermometry, and has successfully been applied in several experiments [14][15][16][17][18][19].…”

Section: Principle Of Measurementmentioning

confidence: 99%

“…The shaded area spans the uncertainty u(k B_CODATA ). The experimental determinations by Pitre et al [7] in 2009, by Sutton et al [2] in 2009 and by Gavioso et al [8] in 2010 were, respectively, obtained at the Laboratoire National de Métrologie et d'Essai-Conservatoire National des Arts et Métiers (LNE-CNAM), at the National Physical Laboratory (NPL) and at the Istituto Nazionale di Ricerca Metrologica (INRiM), by measuring the speed of sound in He and Ar with quasi-spherical resonators. The value from the study of Zhang et al [9] was obtained with a cylindrical acoustic resonator.…”

Section: Introductionmentioning

confidence: 99%

Determination of the Boltzmann constant using a quasi-spherical acoustic resonator

Pitre

Sparasci

Truong

et al. 2011

Phil. Trans. R. Soc. A.

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The paper reports a new experiment to determine the value of the Boltzmann constant, k B = 1.3806477(17) × 10 −23 J K −1 , with a relative standard uncertainty of 1.2 parts in 10 6 . k B was deduced from measurements of the velocity of sound in argon, inside a closed quasispherical cavity at a temperature of the triple point of water. The shape of the cavity was achieved using an extremely accurate diamond turning process. The traceability of temperature measurements was ensured at the highest level of accuracy. The volume of the resonator was calculated from measurements of the resonance frequencies of microwave modes. The molar mass of the gas was determined by chemical and isotopic composition measurements with a mass spectrometer. Within combined uncertainties, our new value of k B is consistent with the 2006 Committee on Data for Science and Technology (CODATA) value: (k new B /k B_CODATA − 1) = −1.96 × 10 −6 , where the relative uncertainties are u r (k new B ) = 1.2 × 10 −6 and u r (k B_CODATA ) = 1.7 × 10 −6 . The new relative uncertainty approaches the target value of 1 × 10 −6 set by the Consultative Committee on Thermometry as a precondition for redefining the unit of the thermodynamic temperature, the kelvin.

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“…The shaded area spans u (k B_CODATA ). The determinations of 2009 by Pitre et al [7] and by Sutton et al [2], and of 2010 by Gavioso et al [8] were, respectively, obtained at LCM (LNE-CNAM), at NPL, and at INRiM, by measuring the speed of sound in He and Ar with quasi-spherical resonators. The value from Zhang et al [9] was obtained at NIM with a cylindrical acoustic resonator For an accurate determination of the speed of sound in a dilute gas, methods involving the measurement of the resonance frequencies of standing waves in cavities of simple geometry remain unsurpassed.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the Boltzmann Constant k B Using a Quasi-Spherical Acoustic Resonator

et al. 2011

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There is currently great interest in the international metrological community for new accurate determinations of the Boltzmann constant k B , with the prospect of a new definition of the unit of thermodynamic temperature, the kelvin. In fact, k B relates the unit of energy (the joule) to the unit of the thermodynamic temperature (the kelvin). One of the most accurate ways to access the value of the Boltzmann constant is from measurements of the velocity of the sound in a noble gas. In the method described here, the experimental determination has been performed in a closed quasi-spherical cavity. To improve the accuracy, all the parameters in the experiment (purity of the gas, static pressure, temperature, exact shape of the cavity monitored by EM microwaves, etc.) have to be carefully controlled. Correction terms have been computed using carefully validated theoretical models, and applied to the acoustic and microwave signals. We report on two sets of isothermal acoustic measurements yielding the value k B = 1.380 647 74(171) × 10 −23 J · K −1 with a relative standard uncertainty of 1.24 parts in 10 6 . This value lies 1.9 parts in 10 6 below the 2006 CODATA value (Mohr et al., Rev. Mod. Phys. 80, 633 (2008)), but, according to the uncertainties, remains consistent with it.

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An improved acoustic method for the determination of the Boltzmann constant at LNE-INM/CNAM

Abstract: des modifications et des améliorations apportées par le présent dispositif, les premiers éléments de caractérisation obtenus, et les bénéfices attendus en termes d'incertitude, font l'objet du présent article.

Cited by 50 publications

References 19 publications

TRIMET : fermeture du triangle métrologique quantique à un niveau d'incertitude relative de 10–6

TRIMET : fermeture du triangle métrologique quantique à un niveau d'incertitude relative de 10–6

Determination of the Boltzmann constant using a quasi-spherical acoustic resonator

Measurement of the Boltzmann Constant k B Using a Quasi-Spherical Acoustic Resonator

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