A determination of the Boltzmann constant from speed of sound measurements in helium at a single thermodynamic state

Gavioso, R. M.; Benedetto, G.; Albo, P. A. Giuliano; Ripa, D. Madonna; Merlone, A.; Guianvarc'H, Cécile; Moro, Francesco N.; Cuccaro, R.

doi:10.1088/0026-1394/47/4/005

Cited by 63 publications

(70 citation statements)

References 52 publications

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“…These advances, realized at LCM (LNE-CNAM) and by other research groups at NPL and INRIM [2,8,55], provide a further confirmation that the final aim of reducing the uncertainty of k B below 1 part in 10 6 is likely to be achieved. We will apply this experience to future measurements using a 3.1 L quasi-spherical resonator.…”

Section: Resultsmentioning

confidence: 70%

“…The measurements performed in [8] showed that the gas flow increased the uncertainty of the frequency measurements by more than a factor of two. We suspect that the same effect occurred during the present measurements.…”

Section: Acoustic Correction Modelmentioning

confidence: 99%

“…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: 98%

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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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Section: Resultsmentioning

confidence: 70%

Section: Acoustic Correction Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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

et al. 2011

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“…The present CODATA [2] recommended value of k B is 1.3806488(13) × 10 −23 J/K, inferred from a group of results obtained from the acoustic gas thermometry (AGT) [3,4,5,6,7,8], the refractive index gas thermometry (RIGT) [9], and the Johnson noise thermometry (JNT) [10]. The combined relative uncertainty of k B is 0.91 ppm.…”

Section: Introductionmentioning

confidence: 92%

Doppler Broadening Thermometry Based on Cavity Ring-Down Spectroscopy

Hu¹

2014

Proceedings of the 69th International Symposium on Molecular Spectroscopy

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Abstract. A Doppler broadening thermometry (DBT) instrument is built based on cavity ring-down spectroscopy (CRDS) for precise determination of the Boltzmann constant. Compared with conventional direct absorption methods, the high-sensitivity of CRDS allows to reach a satisfied precision at lower sample pressures, which reduces the influence due to collisions. By recording the spectrum of C 2 H 2 at 787 nm, we demonstrate a statistical uncertainty of 6 ppm (part per million) in the determined linewidth values by several hours' measurement at a sample pressure of 1.5 Pa. As for the spectroscopy-determined temperatures, although with a reproducibility better than 10 ppm, we found a systematic deviation of about 800 ppm, which is attributed to "hidden" weak lines overlapped with the selected transition at 787 nm. Our analysis indicates that it is feasible to pursue a DBT measurement toward the 1 ppm precision using cavity ring-down spectroscopy of a CO line at 1.57 mum.

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“…Therefore, in order to apply the stated approach, as the estimated interval of kb changes, we choose the difference of its value reached by the experimental results of two projects: kbmax = 1.38065511·10 -23 m² kg/(s² K) [14] and kbmin= 1.380640·10 -23 m² kg/(s²·K) [15]. In this case, the possible observed range Sk of kb variation is equal Sk = kbmax -kbmin = 1.501·10 -28 m²·kg/(s²·K).…”

Section: Boltzmann Constant Kbmentioning

confidence: 99%

Novel Approach: Information Quantity for Calculating Uncertainty of Mathematical Model

Menin¹

2017

Proceedings of the IS4SI 2017 Summit DIGITALISATION FOR a SUSTAINABLE SOCIETY, Gothenburg, Sweden, 12–16 June 2017.

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Evaluation of the chosen mathematical model of a physical system (phenomena) is considered within the framework of thermodynamic theory and Mark Burgin's general theory of information. The finiteness of the model cased by the limited number of chosen variables and the need to use the International system of units cause the existing of the a-priori uncertainty of a physical-mathematical model. The proposed formula for calculation of this uncertainty provides its value comparison with the actual experimental measurement uncertainty. Examples of practical application in the framework of the considered concept are introduced regarding analysis of the Boltzmann constant and gravitational constant measurements Keywords: computer modelling; planning of experiment; system of primary variables, theory of information; theory of similarity; uncertainty of physical-mathematical model

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A determination of the Boltzmann constant from speed of sound measurements in helium at a single thermodynamic state

Cited by 63 publications

References 52 publications

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

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

Doppler Broadening Thermometry Based on Cavity Ring-Down Spectroscopy

Novel Approach: Information Quantity for Calculating Uncertainty of Mathematical Model

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