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Modeling of Acoustic Resonance in Spherical Resonators for the Precision Determination of Thermodynamic Temperature

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A procedure for modeling the acoustic resonance lines in spherical resonators, filled with an inert gas, is developed. The method is based on a calculation of the amplitude and phase of the forced oscillations of a gas in a spherical cavity. The theoretical resonance lines are calculated for different gas pressures and temperatures, and the effect of acoustic converters and holes in the resonator wall on the resonance lines is analyzed. The calculated frequency dependences of the acoustic signal are compared with those measured on an experimental sample of a spherical resonator filled with gaseous helium.

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References

  1. M. R. Moldover et al., “Acoustic gas thermometry,” Metrologia, 51, R1–R19 (2014).

    Article  ADS  Google Scholar 

  2. G. Benedetto et al., “Acoustic measurements of the thermodynamic temperature between the triple point of mercury and 380 K,” Metrologia, 41, 74–98 (2004).

    Article  ADS  Google Scholar 

  3. L. Pitre, M. R. Moldover, and W. L. Tew, “Acoustic thermometry: new results from 273 K to 77 K and progress towards 4 K,” Metrologia, 43, 142–162 (2006).

    Article  ADS  Google Scholar 

  4. M. R. Moldover et al., “Measurement of universal gas constant R using a spherical acoustic resonator,” J. Res. Nat. Bureau of Standards, 2, 85–144 (1988).

    Article  Google Scholar 

  5. P. M. Morse and K. U. Ingard, Theoretical Acoustics, McGraw-Hill, New York (1968).

    Google Scholar 

  6. L. Pitre et al., “Measurement of the Boltzmann constant k B using a quasi-spherical acoustic resonator,” Int. J. Thermophys., 32, 1825–1886 (2011).

    Article  ADS  Google Scholar 

  7. J. B. Mehl, “Ab initio properties of gaseous helium,” C. R. Physique, 10, 859–865 (2009).

    Article  ADS  Google Scholar 

  8. J. B. Mehl and M. R. Moldover, “Measurement of the ratio of the speed of sound to the speed of light,” Phys. Rev. A, 34, 3341–3344 (1986).

    Article  ADS  Google Scholar 

  9. E. F. May et al., “Quasi-spherical cavity resonators for metrology based on the relative dielectric permittivity of gases,” Rev. Sci. Instrum., 75, 3307–3317 (2004).

    Article  ADS  Google Scholar 

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This research was supported by the Russian Technical Regulation (State Contract No. 120–376).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    V. G. Kytin & G. A. Kytin

  2. All-Russia Research Institute of Physicotechnical and Radio Measurements (VNIIFTRI), Mendeleevo, Russia

    V. G. Kytin

Authors
  1. V. G. Kytin
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  2. G. A. Kytin
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Correspondence to V. G. Kytin.

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Translated from Izmeritel’naya Tekhnika, No. 1, pp. 35–39, January, 2015.

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Kytin, V.G., Kytin, G.A. Modeling of Acoustic Resonance in Spherical Resonators for the Precision Determination of Thermodynamic Temperature. Meas Tech 58, 50–58 (2015). https://doi.org/10.1007/s11018-015-0662-x

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  • DOI: https://doi.org/10.1007/s11018-015-0662-x

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