Abstract
We report on two sets of isothermal acoustic measurements made with argon close to the triple point of water using a 50 mm radius, thin-walled, diamond-turned quasisphere. Our two isotherms yielded values for the Boltzmann constant, k B, which differ by 0.9 parts in 106, and have an average value of k B = (1.380 649 6 ± 0.000 004 3) × 10−23J · K−1. The relative uncertainty is 3.1 parts in 106, and the average value is 0.58 parts in 106 below the 2006 CODATA value (Mohr et al. Rev Mod Phys 80:633, 2008), and so the values are consistent within their combined (k = 1) uncertainties.
Similar content being viewed by others
References
Mohr P.J., Taylor B.N., Newel D.B.: Rev. Mod. Phys. 80, 633 (2008)
Felmuth B., Gaiser Ch.: J. Fischer, Meas. Sci. Technol. 17, R145 (2006)
Moldover M.R., Mehl J.B., Greenspan M.: J. Acoust. Soc. Am. 79, 253 (1986)
Moldover M.R., Trusler J.P.M., Edwards T.J., Mehl J.B., Davis R.: J. Res. Natl. Bur. Stand. (U.S.) 93, 85 (1988)
Pitre L., Moldover M.R., Tew W.L.: Metrologia 43, 142 (2006)
Benedetto G., Gavioso R.M., Spagnolo R., Marcarino P., Merlone A.: Metrologia 41, 74 (2004)
Mehl J.B., Moldover M.R., Pitre L.: Metrologia 41, 295 (2004)
Mehl J.B.: Metrologia 46, 554 (2009)
Mehl J.B.: J. Res. Natl. Inst. Stand. Technol. 122, 163 (2007)
Mehl J.B., Moldover M.R.: Phys. Rev. A34, 3341 (1986)
Mehl J.B., Moldover M.R.: J. Chem. Phys. 74, 4062 (1981)
C.A. Oxborrow, The Effects of Geometry on Acoustic and Electromagnetic Resonances in a Spherical Cavity, University of Delaware (1990)
NANOSHAPE s.a. Ultra Precision Machining, LIEGE Science Park, Rue Chasseurs Ardennais 1, B-4031 Angleur-Liège, Belgium
Tinsley Precision Instruments, http://www.tinsley.co.uk/
ASL Limited, http://www.aslltd.co.uk/
G.R.A.S. Sound & Vibration A/S, Skovlytoften 33, DK-2840 Holte, Denmark
SAES Getters, http://www.saesgetters.com/
Druck Pressure Meters, http://www.gesensing.com/druckproducts/
Air Products BIP Gases, http://www.airproducts.com/Products/SpecialtyGases/BIPGases/Default.htm
Varlam M., Valkiers S., Berglund M., Taylor P., Gonfiantini R., De Bièvre P.: Int. J. Mass Spectrom. 269, 71 (2008)
Valkiers S., Varlam M., Berglund M., Taylor P., Gonfiantini R., De Bièvre P.: Int. J. Mass Spectrom. 269, 78 (2008)
Valkiers S., Varlam M., Ruße K., Berglund M., Taylor P., Wang J., Milton M., De Bièvre P.: Int. J. Mass Spectrom. 263, 195 (2007)
Valkiers S., Varlam M., Ruße K., Berglund M., Taylor P., Wang J., Milton M., De Bièvre P.: Int. J. Mass Spectrom. 264, 10 (2007)
P. Taylor, S. Valkiers, P. De Bièvre, Handbook of Stable Isotope Analytical Techniques, vol. 1, chapter 1, ed. by P. de Groot (Elsevier, Amsterdam, 2006), pp. 759–787
Inkret M., Valkiers S., Berglund M., Taylor P., Majcen N., Zupan J.: Acta Chim. Slov. 55, 294 (2008)
Stanford Research Systems, http://www.thinksrs.com/
Krohn Hite, http://www.krohn-hite.com/
Labview, http://www.ni.com/labview/
Underwood R., Mehl J.B., Pitre L., Edwards G.J., Sutton G., de Podesta M.: Meas. Sci. Technol. 7, 075103 (2010)
Repliset supplied by Struers A/S, Pederstrupvej 84, DK-2750 Ballerup, Denmark
May E.F., Pitre L., Mehl J.B., Moldover M.R., Schmidt J.W.: Rev. Sci. Instrum. 75, 3307 (2004)
Guianvar’h C., Gavioso R.M., Benedetto G., Pitre L., Bruneau M.: Rev. Sci. Instrum. 80, 074901 (2009)
P. Gélat, N. Joly, M. de Podesta, G. Sutton, R. Underwood, Acoustic Modelling in View of a Determination of the Boltzmann Constant Within 1 ppm for the Redefinition of the Kelvin, AFPAC J. Phys.: Conference Series (2009)
Gillis K.A., Lin H., Moldover M.R.: J. Res. Natl. Inst. Stand. Technol. 114, 5 (2009)
Antonijevic M.M., Petrovic M.B.: Int. J. Electrochem. Sci. 3, 1 (2008)
L. Pitre, Flow Effects in Quasispherical Resonators, presented at 4th Int. Conf. on Progress in Determining the Boltzmann Constant, Torino, Italy (2009)
A.R.H Goodwin, Ph.D. Thesis, University of London (1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sutton, G., Underwood, R., Pitre, L. et al. Acoustic Resonator Experiments at the Triple Point of Water: First Results for the Boltzmann Constant and Remaining Challenges. Int J Thermophys 31, 1310–1346 (2010). https://doi.org/10.1007/s10765-010-0722-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10765-010-0722-z