Advertisement

Based on Pneumatic Photonic Structures, High-Accuracy Measurement Procedure for the Universal Gas Constant

  • E. Ya. Glushko
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 222)

Abstract

In this work, an approach is proposed to determine the universal molar gas constant R with approximately ten significant digit accuracy that is based on extra accurate volume controlling and highly sensitive pressure measurements in the framework of scale echeloning procedure. An essential moment of the method is uniting the results of two connected measurement scales with the relative standard uncertainty near 10−5 to obtain a higher precise level. A calibrated stable area of fixed temperature is used in the vicinity of the triple point of water. The gas-filled 1D elastic pneumatic photonic crystal is used as an optical indicator of pressure uniting several scales of pressure magnitudes. The pressure gauge includes layered elastic platform, optical fibers, and switching valves, all enclosed into a chamber. With this aim, we have investigated the pneumatic photonic crystal bandgap structure and light reflection changes under external pressure. At the chosen parameters, the two-scale device may cover the pressure interval (0, 10) bar with accuracy near 1 nbar. A self-consistent iteration procedure increasing initial accuracy of parameters and the molar gas constant to the level of volume and pressure accuracy measurements is proposed and tested.

References

  1. 1.
    Newell DB, Cabiati F, Fischer J, Fujii K, Karshenboim SG, Margolis HS, de Mirandes E, Mohr PJ, Nez F, Pachucki K, Quinn TJ, Taylor BN, Wang M, Wood BM, Zhang Z (2018) The CODATA 2017 values of h, e, k, and NA for the revision of the SI. Metrologia 55:L13–L16CrossRefGoogle Scholar
  2. 2.
    Mohr PJ, Taylor BN, Newell DB (2012) CODATA recommended values of the fundamental physical constants. J Phys Chem Ref Data 41:043109ADSCrossRefGoogle Scholar
  3. 3.
    Karshenboim SG (2017) Adjusted recommended values of the fundamental physical constants. EurPhysJST 172:385–397ADSGoogle Scholar
  4. 4.
    Bartl G et al (2017) A new 28Si single crystal: counting the atoms for the new kilogram definition. Metrologia 54:693–727ADSCrossRefGoogle Scholar
  5. 5.
    Vocke RD Jr, Rabb SA, Turk GC (2014) Absolute silicon molar mass measurements, the Avogadro constant and the redefinition of the kilogram. Metrologia 51:361–375ADSCrossRefGoogle Scholar
  6. 6.
    Azuma Y, Barat P, Bartl G et al (2015) Improved measurement results for the Avogadro constant using a 28Si-enriched crystal. Metrologia 52:360–375ADSCrossRefGoogle Scholar
  7. 7.
    Flowers JL, Petley BW (2001) Progress in our knowledge of the fundamental constants of physics. Rep Prog Phys 64:1191–1246ADSCrossRefGoogle Scholar
  8. 8.
    Sortais Y et al (2000) 87Rb verses 133Cs in cold atom fountains: a comparison. IEEE Trans Ultrason Ferroelectr Freq Control 47:1093–1097CrossRefGoogle Scholar
  9. 9.
    Taylor BN, Phillips WD (eds) (1984). Precision measurement and fundamental constants II. National Bureau of Standards (U.S.), Special Publication 617Google Scholar
  10. 10.
    Aliezer S, Ghatak A, Hora H (2002) Fundamentals of equations of state, vol 384. World Scientific Publishing Co Pte LTD, River EdgeCrossRefGoogle Scholar
  11. 11.
    Glushko EY (2010) Pneumatic photonic crystals. Opt Express 18:3071–3079ADSCrossRefGoogle Scholar
  12. 12.
    Glushko EYa. The conception of scales echeloning for precise optical indication of pressure and temperature. 11th international conference on Laser and Fiber-Optical Networks Modeling (LFNM), 1–3, 2011Google Scholar
  13. 13.
    Rayleigh JWS (1887) On the maintenance of vibrations by forces of double frequency and on the propagation of waves through a medium endowed with a periodic structure. Philos Mag 24:145–159CrossRefGoogle Scholar
  14. 14.
    Yablonovitch E (1987) Inhibited spontaneous emission in solid-state physics and electronics. Phys Rev Lett 58:2059–2062ADSCrossRefGoogle Scholar
  15. 15.
    John S (1987) Strong localization of photons in certain disordered dielectric superlattices. Phys Rev Lett 58:2486–2489ADSCrossRefGoogle Scholar
  16. 16.
    Werber A, Zappe H (2006) Tunable, membrane-based, pneumatic micro-mirrors. J Opt A Pure Appl Opt 8:313–317ADSCrossRefGoogle Scholar
  17. 17.
    Pervak V, Ahmad I, Trubetskov MK, Tikhonravov AV, Krausz F (2009) Double-angle multilayer mirrors with smooth dispersion characteristics. Opt Express 17:7943–7951ADSCrossRefGoogle Scholar
  18. 18.
    Tokranova N, Xu B, Castracane J (2004) Fabrication of flexible one-dimensional porous silicon photonic band-gap structures. MRS Proc 797.  https://doi.org/10.1557/PROC-797-W1.3
  19. 19.
    Grzybowski B, Qin D, Haag R, Whitesides GM (2000) Elastomeric optical elements with deformable surface topographies: applications to force measurements, tunable light transmission and light focusing. Sensors Actuators 86:81–85CrossRefGoogle Scholar
  20. 20.
    Landau LD, Lifshitz EM (1970) Theory of elasticity. Pergamon Press, New York, p 165Google Scholar
  21. 21.
    Turyshev SG, Toth VT (2010) The pioneer anomaly. Living Rev Relativ 13:4–171ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • E. Ya. Glushko
    • 1
  1. 1.Institute of Semiconductor PhysicsKyivUkraine

Personalised recommendations