Skip to main content

New Definition of the SI Unit Kilogram – Spherical Interferometry as the Limiting Factor

  • Conference paper
Fringe 2013
  • 2200 Accesses

Introduction

Metrology is the science of measurement and its application. Whenever one performs a measurement one compares the measurand to an appropriate unit. The number of these units has changed since the metre convention in 1875 to 1960 when the 11th CGPM (Conférence Générale des Poids et Mesures) decided the actual SI (Système International d’Unités). Currently the SI is based on seven units – kilogram for mass, second for time, metre for length, ampere for electric current, Kelvin for thermodynamic temperature, candela for luminous intensity and – since 1971 – mol for amount of substance. Their definition also sometimes changes, due to demands on the unit or the advent of new methods for a possible better realisation. The metre, for instance, was incipiently defined as a part of a meridian of the earth. This definition was impractical to realise, so for the realisation the length between the ends of a platinum bar was used. To overcome the difficulties of the handling and measurement of this length standard, the definition was again revised to the distance between two marks on a new, x-shaped Pt-Ir rod. Although the measurement capabilities grew and even though interferometry was discovered early, the next redefinition took two ages. Eventually, in 1960 the metre was defined by a multiple of the wavelength of the radiation of 86krypton. And since 1983, for the present finally, the metre is defined by a time-of-flight definition: one metre is the distance which light travels in 1/299792458 seconds where this special number is given by the fixed value of the speed of light.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mills, I.M., Mohr, P.J., Quinn, T.J., Taylor, B.N., Williams, E.R.: Redefinition of the kilogram, ampere, kelvin and mole: a proposed approach to implementing CIPM recommendation 1 (CI-2005). Metrologia 43, 227–246 (2006)

    Article  Google Scholar 

  2. Steiner, R.L., Williams, E.R., Ruimin, L., Newell, D.B.: Uncertainty Improvements of the NIST Electronic Kilogram. IEEE Transactions on Instrumentation and Measurement 56, 592–596 (2007)

    Article  Google Scholar 

  3. Mohr, P.J., Taylor, B.N., Newell, D.B.: CODATA recommended values of the fundamental physical constants: 2006. Rev. Mod. Phys. 80, 634–730 (2008)

    Article  Google Scholar 

  4. Becker, P., Friedrich, H., Fujii, K., Giardini, W., Mana, G., Picard, A., Pohl, H.-J., Riemann, H., Valkiers, S.: The Avogadro constant determination via enriched silicon-28. Meas. Sci. Technol. 20, 092002 (20p.) (2009)

    Google Scholar 

  5. Pramann, A., Rienitz, O., Schiel, D., Schlote, J., Güttler, B., Valkiers, S.: Molar mass of silicon highly enriched in 28Si determined by IDMS. Metrologia 48, S20–S25 (2011)

    Google Scholar 

  6. Massa, E., Mana, G., Kuetgens, U., Ferroglio, L.: Measurement of the {220}lattice-plane spacing of a 28Si x-ray interferometer. Metrologia 48, S37–S43 (2011)

    Google Scholar 

  7. Picard, A., Barat, P., Borys, M., Firlus, M., Mizushima, S.: State-of-the-art mass determination of 28Si spheres for the Avogadro project. Metrologia 48, S112–S119 (2011)

    Google Scholar 

  8. Busch, I., Azuma, Y., Bettin, H., Cibik, L., Fuchs, P., Fujii, K., Krumrey, M., Kuetgens, U., Kuramoto, N., Mizushima, S.: Surface layer determination for the Si spheres of the Avogadro project. Metrologia 48, S62–S82 (2011)

    Google Scholar 

  9. Saunders Sr., J.B.: Ball and cylinder interferometer. J. Res. Natl. Bur. Stand. C 76, 11–20 (1972)

    Article  Google Scholar 

  10. Nicolaus, R.A., Bönsch, G.: Absolute volume determination of a silicon sphere with the spherical interferometer of PTB. Metrologia 42, 24–31 (2005)

    Article  Google Scholar 

  11. Bartl, G., Krystek, M., Nicolaus, A., Giardini, W.: Interferometric determination of the topographies of absolute sphere radii using the sphere interferometer of PTB. Meas. Sci. Technol. 21, 115101(8p.) (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. Arnold Nicolaus .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nicolaus, R.A. (2014). New Definition of the SI Unit Kilogram – Spherical Interferometry as the Limiting Factor. In: Osten, W. (eds) Fringe 2013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36359-7_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36359-7_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36358-0

  • Online ISBN: 978-3-642-36359-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics