Skip to main content

Advertisement

Log in

Progress in INRiM Experiment for the Determination of the Boltzmann Constant with a Quasi-spherical Resonator

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

Current progress in the INRiM experiment for the determination of the Boltzmann constant k B by means of acoustic thermometry is reported. Particularly, the microwave determination of the volume of a triaxial ellipsoidal resonator with an inner radius of 5 cm which was designed at LNE-CNAM is discussed. For the same cavity, acoustic measurements in helium at T w over the extended pressure range between 50 kPa and 1.4 MPa are reported and these results are compared with the predictions of a model which accounts for several perturbing effects. The procedures, methods, and results obtained in the calibration of several capsule-type SPRTs used in the experiment are briefly illustrated, together with the estimate of the temperature uniformity of the experiment.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Determination of the Boltzmann Constant for the Redefinition of the Kelvin, iMERA-Plus Research Project (2009–2011) EMRP (European Metrology Research Programme), http://www.emrponline.eu/imeraplus.html; http://ib.ptb.de/boltzmann/index.html

  2. Pitre L., Guianvarc’h C., Sparasci F., Guillou A., Truong D., Hermier Y., Himbert M.E.: C.R. Phys. 10, 835 (2009)

    Article  ADS  Google Scholar 

  3. L. Pitre, F. Sparasci, D. Truong, A. Guillou, L. Risegari, M.E. Himbert, Int. J. Thermophys. doi:10.1007/s10765-011-1023-x

  4. Sutton G., Underwood R., Pitre L., de Podesta M., Valkiers S.: Int. J. Thermophys. 31, 1310 (2010)

    Article  ADS  Google Scholar 

  5. Gavioso R.M., Benedetto G., Giuliano Albo P.A., Madonna Ripa D., Merlone A., Guianvarc’h C., Moro F., Cuccaro R.: Metrologia 47, 1 (2010)

    Article  Google Scholar 

  6. Schmidt J.W., Gavioso R.M., May E.F., Moldover M.R.: Phys. Rev. Lett. 98, 245504 (2007)

    Google Scholar 

  7. J.T. Zhang, H. Lin, X.J. Feng, J.P. Sun, K.A. Gillis, M.R. Moldover, Y.Y. Duan, Progress Towards Redetermining the Boltzmann Constant with a Fixed-Path-Length Cylindrical Resonator, Int. J. Thermophys. (2011). doi:10.1007/s10765-011-1001-3

  8. Moldover M.R., Trusler J.P.M., Edwards T.J., Mehl J.B., Davis R.S.: Phys. Rev. Lett. 60, 249 (1988)

    Article  ADS  Google Scholar 

  9. Moldover M.R., Trusler J.P.M., Edwards T.J., Mehl J.B., Davis R.S.: J. Res. Natl. Bur. Stand. (U.S.) 93, 85 (1988)

    Google Scholar 

  10. Underwood R.J., Flack D., Morantz P., Sutton G., Shore P., de Podesta M.: Metrologia 48, 1 (2011)

    Article  ADS  Google Scholar 

  11. May E.F., Pitre L., Mehl J.B., Moldover M.R., Schmidt J.W.: Rev. Sci. Instrum. 75, 3307 (2004)

    Article  ADS  Google Scholar 

  12. Mehl J.B., Moldover M.R., Pitre L.: Metrologia 41, 295 (2004)

    Article  ADS  Google Scholar 

  13. Mehl J.B.: J. Res. Natl. Inst. Stand. Technol. (U.S.) 112, 163 (2007)

    Article  Google Scholar 

  14. Mehl J.B.: Metrologia 46, 554 (2009)

    Article  ADS  Google Scholar 

  15. Mehl J.B.: C.R. Phys. 10, 859 (2009)

    Article  ADS  Google Scholar 

  16. Garberoglio G., Harvey A.H.: J. Res. Natl. Inst. Stand. Technol. (U.S.) 114, 249 (2009)

    Article  Google Scholar 

  17. G. Garberoglio, M.R. Moldover, A.H. Harvey, Improved First-Principles Calculation of the Third Virial Coefficient of Helium, J. Res. Natl. Inst. Stand. Technol. (U.S.) (in press) (2011)

  18. Moldover M.R.: C.R. Phys. 10, 815 (2009)

    Article  ADS  Google Scholar 

  19. R. Underwood, L. Pitre, G. Edwards, G. Sutton, M. De Podesta, unpublished data

  20. Underwood R.J., Mehl J.B., Pitre L., Edwards G., Sutton G., de Podesta M.: Meas. Sci. Technol. 21, 075103 (2010)

    Article  ADS  Google Scholar 

  21. De Podesta M., May E.F., Mehl J.B., Pitre L., Gavioso R.M., Benedetto G., Giuliano Albo P.A., Truong D., Flack D.: Metrologia 47, 588 (2010)

    Article  ADS  Google Scholar 

  22. Matula R.: J. Phys. Chem. Ref. Data 8, 1147 (1979)

    Article  ADS  Google Scholar 

  23. Lin H., Gillis K.A., Zhang J.T.: Int. J. Thermophys. 31, 1234 (2010)

    Article  ADS  Google Scholar 

  24. Gavioso R.M., Madonna Ripa D., Benedetto G., Guianvarc’h C., Giuliano Albo P.A., Cuccaro R., Pitre L., Truong D.: Int. J. Thermophys. 31, 1739 (2010)

    Article  ADS  Google Scholar 

  25. Gillis K.A., Shinder I.I., Moldover M.R.: Phys. Rev. E: Stat., Nonlinear Soft Matter Phys. 70, 021201 (2004)

    Article  ADS  Google Scholar 

  26. Waelbroeck F.G., Zuckerbrodt P.: J. Chem. Phys. 28, 524 (1958)

    Article  ADS  Google Scholar 

  27. W. Cencek, J. Komasa, M. Przybytek, J. B. Mehl, B. Jeziorsky, K. Szalewicz, Effects of Adiabatic, Relativistic, and Quantum Electrodynamics Interactions in Helium Dimer on Thermophysical Properties of Helium, submitted to J. Chem. Phys. (2011)

  28. Berg R.F., Zimmerli G.A., Moldover M.R.: Int. J. Thermophys. 19, 481 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. M. Gavioso.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gavioso, R.M., Benedetto, G., Madonna Ripa, D. et al. Progress in INRiM Experiment for the Determination of the Boltzmann Constant with a Quasi-spherical Resonator. Int J Thermophys 32, 1339–1354 (2011). https://doi.org/10.1007/s10765-011-1032-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-011-1032-9

Keywords

Navigation