Skip to main content
Log in

Uncertainty Budgets for Calibration of Radiation Thermometers below the Silver Point

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

Abstract

Below the freezing point of silver, radiation thermometers are generally calibrated by implementing the multi-point interpolation method using blackbody measurements at three or more calibration points, rather than the ITS-90 extrapolation technique. The interpolation method eliminates the need to measure the spectral responsivity and provides greater accuracy at the longer wavelengths required below the silver point. This article identifies all the sources of uncertainty associated with the interpolation method, in particular, those related to the reference blackbody temperatures (either variable-temperature or fixed-point blackbodies) and to the measured thermometer signals at these points. Estimates are given of the ‘normal’ and ‘best’ uncertainties currently achievable. A model of the thermometer response is used to propagate all the uncertainties at the reference points and provide a total uncertainty at any temperature within the calibration range. The multi-point method has the effect of constraining the total uncertainty over this range, unlike the ITS-90 technique for which the uncertainties propagate as T 2. This article is a joint effort of the working group on radiation thermometry of the Consultative Committee for Thermometry (CCT), summarizing the knowledge and experience of all experts in this field.

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

  • Saunders P., (1997) . Metrologia 34, 201

    Article  ADS  Google Scholar 

  • F. Sakuma, M. Kobayashi, in Proceedings of TEMPMEKO ’96, 6th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by P. Marcarino (Levrotto and Bella, Torino, 1997), pp. 305–310

  • B. Gutschwager, J. Fischer, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 567–572

  • F. Sakuma, S. Hattori, in Temperature: Its Measurement and Control in Science and Industry, vol. 5, ed. by J.F. Schooley (AIP, New York, 1982), pp. 421–427

  • J. Fischer, P. Saunders, M. Sadli, M. Battuello, C.W. Park, Z. Yuan, H. Yoon, W. Li, E. van der Ham, F. Sakuma, Y. Yamada, M. Ballico, G. Machin, N. Fox, J. Hollandt, M. Matveyev, P. Bloembergen, S. Ugur, CCT working document (in preparation)

  • J. Fischer, M. Battuello, M. Sadli, M. Ballico, S.N. Park, P. Saunders, Z. Yuan, B.C. Johnson, E. van der Ham, W. Li, F. Sakuma, G. Machin, N. Fox, S. Ugur, M. Matveyev, CCT document CCT/03-03 (2003)

  • J. Fischer, M. Battuello, M. Sadli, M. Ballico, S.N. Park, P. Saunders, Z. Yuan, B.C. Johnson, E. van der Ham, F. Sakuma, G. Machin, N. Fox, W. Li, S. Ugur, M. Matveyev, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 631–638

  • Guide to the Expression of Uncertainty in Measurement (International Organization for Standardization, Geneva, 1993)

  • Saunders P., (2003) . Metrologia 40, 93

    Article  ADS  Google Scholar 

  • P. Saunders, D.R. White, in Proceedings of TEMPMEKO 2007, Int. J. Thermophys. 28, 2098 (2007), doi:10.1007/s10765-007-0244-5

  • E. Renaot, G. Bonnier, CCT document CCT/2000-16 (2000)

  • E. Renaot, G. Bonnier, CCT document CCT/2000-17 (2000)

  • B. Fellmuth, J. Fischer, E. Tegeler, CCT document CCT/01-02 (2001)

  • J. Wu, Z. Yuan, Y. Duan, T. Wang, Q. Zhao, in Proceedings of TEMPMEKO 2001, 8th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by B. Fellmuth, J. Seidel, G. Scholz (VDE Verlag, Berlin, 2002), pp. 189–194

  • Ancsin J., (2003) . Metrologia 40, 36

    Article  ADS  Google Scholar 

  • Bongiovanni G., Crovini L., Marcarino P., (1975) . Metrologia 11, 125

    Article  ADS  Google Scholar 

  • Ricolfi T., Lanza F., (1977) . High Temp. High Press. 9, 483

    Google Scholar 

  • Fischer J., Jung H.J., (1989) . Metrologia 26, 245

    Article  ADS  Google Scholar 

  • B.W. Mangum, P. Bloembergen, B. Fellmuth, P. Marcarino, A.I. Pokhodun, CCT Document CCT/99-11 (1999)

  • D. Ripple, B. Fellmuth, M. de Groot, Y. Hermier, K.D. Hill, P.P.M. Steur, A. Pokhodun, M. Matveyev, P. Bloembergen, CCT WG1 report, CCT Document CCT/05-08 (2005)

  • H. Okamoto, Desk Handbook: Phase Diagrams for Binary Alloys (ASM International, Materials Park, Ohio, 2000), p. 14

  • L. Ma, F. Sakuma, in Proc. SICE2004 (Sapporo, Japan, 2004), pp. 323–328

  • E.W.M. van der Ham, M. Battuello, P. Bloembergen, R. Bosma, S. Clausen, O. Enouf, E. Filipe, J. Fischer, B. Gutschwager, T. Hirvonen, J.U. Holtoug, J. Ivarson, G. Machin, H. McEvoy, J. Peres, T. Ricolfi, P. Ridoux, M. Sadli, V. Schmidt, C. Staniewicz, O. Struss, T. Weckstrom, F. Girard, TRIRAT: Traceability in infrared radiation thermometry from -50 to 800°C. Framework 4 Project of the Standards, Measurement and Testing Programme of the European Commission, Contract No. SMT 4-CT-96-2060

  • Y. Shimizu, J. Ishii, F. Sakuma, A. Ono, in Proceedings of TEMPMEKO 2004, 9th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by D. Zvizdić, L.G. Bermanec, T. Veliki, T. Stašić (FSB/LPM, Zagreb, Croatia, 2004), pp. 509–514

  • T.P. Jones, in Temperature: Its Measurement and Control in Science and Industry, vol. 6, ed. by J.F. Schooley (AIP, New York, 1992), pp. 1105–1110

  • Ballico M., Metrologia 32, 259 (1995/6)

  • S. Mekhontsev, V. Khromchenko, A. Prokhorov, L. Hanssen, in Proceedings of TEMPMEKO 2004, 9th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by D. Zvizdić, L.G. Bermanec, T. Veliki, T. Stašić (FSB/LPM, Zagreb, Croatia, 2004), pp. 581–586

  • R.E. Bedford, in Theory and Practice of Radiation Thermometry, ed. by D.P. DeWitt, G.D. Nutter (John Wiley & Sons, New York, 1988)

  • Sapritsky V.I., Prokhorov A.V., (1992) . Metrologia 29, 9

    Article  ADS  Google Scholar 

  • Ishii J., Kobayashi M., Sakuma F., (1998) . Metrologia 35, 175

    Article  ADS  Google Scholar 

  • Ballico M., (2000) . Metrologia 37, 295

    Article  ADS  Google Scholar 

  • M. Ballico, in Proceedings of TEMPMEKO 2004, 9th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by D. Zvizdić, L.G. Bermanec, T. Veliki, T. Stašić (FSB/LPM, Zagreb, Croatia, 2004), pp. 841–846

  • J. Hartmann, D. Taubert, J. Fischer, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 511–516

  • J. Hartmann, S. Schiller, R. Friedrich, J. Fischer, in Proceedings of TEMPMEKO 2001, 8th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by B. Fellmuth, J. Seidel, G. Scholz (VDE Verlag, Berlin, 2002), pp. 227–232

  • P. Saunders, Radiation Thermometry: Fundamentals and Applications in the Petrochemical Industry (SPIE Press, Bellingham, Washington, 2007)

  • H.J. Jung, Inst. Phys. Conf. Ser. No. 26, p. 278 (1975)

  • P. Jimeno-Largo, Y. Yamada, P. Bloembergen, M.A. Villamanan, G. Machin, in Proceedings of TEMPMEKO 2004, 9th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by D. Zvizdić, L.G. Bermanec, T. Veliki, T. Stašić (FSB/LPM, Zagreb, Croatia, 2004), pp. 335–340

  • H. McEvoy, G. Machin, Report on the thermal conductivity of graphite, produced for CCT WG5 (2001)

  • J. Fischer, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 27–34

  • J. Ishii, A. Ono, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 657–662

  • M. Ballico, in Proceedings of TEMPMEKO 2001, 8th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by B. Fellmuth, J. Seidel, G. Scholz (VDE Verlag, Berlin, 2002), pp. 233–237

  • J. Hollandt, Private communication

  • D. Lowe, M. Battuello, G. Machin, F. Girard, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 625–630

  • G. Machin, R. Sergienko, in Proceedings of TEMPMEKO 2001, 8th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by B. Fellmuth, J. Seidel, G. Scholz (VDE Verlag, Berlin, 2002), pp. 155–160

  • Yoon H.W., Allen D.W., Saunders R.D., (2005) . Metrologia 42, 89

    Article  ADS  Google Scholar 

  • T. Ricolfi, F. Girard, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 593–598

  • P. Bloembergen, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 607–612

  • P. Bloembergen, Y. Duan, R. Bosma, Z. Yuan, in Proceedings of TEMPMEKO ’96, 6th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by P. Marcarino (Levrotto and Bella, Torino, 1997), pp. 261–266

  • Mielenz K.D., Eckerle K.L., (1972) . Appl. Optics 11: 2294

    ADS  Google Scholar 

  • Yoon H.W., Butler J.J., Larason T.C., Eppeldauer G.P., (2003) . Metrologia 40: S154

    Article  ADS  Google Scholar 

  • Boivin L.P., (2000) . Metrologia 37, 273

    Article  ADS  Google Scholar 

  • Corredera P., Hernanz M.L., González-Herráez M., J. Campos, (2003) . Metrologia 40: S150

    Article  ADS  Google Scholar 

  • M. Battuello, P. Bloembergen, F. Girard, T. Ricolfi, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 613–618

  • Boivin L.P., (1998) . Appl. Optics 37: 1924

    Article  ADS  Google Scholar 

  • Theocharous E., Ishii J., Fox N.P., (2004) . Appl. Optics 43: 4182

    Article  ADS  Google Scholar 

  • J. Ishii, M. Kobayashi, F. Sakuma, A. Ono, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J. F. Dubbeldam, M.J. de Groot (Edauw Johannissen bv, Delft, 1999), pp. 625–630

  • O. Struβ, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 565–570

  • P. Saunders, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple, B.C. Johnson, C.W. Meyer, R.D. Saunders, G.F. Strouse, W.L. Tew, B.K. Tsai, H.W. Yoon (AIP, Melville, New York, 2003), pp. 825–830

  • Chrzanowski K., (1996) . Appl. Optics 35: 3540

    ADS  Google Scholar 

  • D.G. Crowe, P.R. Norton, T. Limperis, J. Mudar, Chapter 4 “Detectors”, in The Infrared and Electro-Optical Systems Handbook, Electro-Optical Components, vol. 3, ed. by W. D. Rogatto (SPIE Optical Engineering Press, Bellingham, Washington, 1993)

  • Saunders P., White D.R., (2004) . Metrologia 41, 41

    Article  ADS  Google Scholar 

  • Saunders P., White D.R., (2003) . Metrologia 40, 195

    Article  ADS  Google Scholar 

  • M. Ballico, Private communication

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Saunders.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saunders, P., Fischer, J., Sadli, M. et al. Uncertainty Budgets for Calibration of Radiation Thermometers below the Silver Point. Int J Thermophys 29, 1066–1083 (2008). https://doi.org/10.1007/s10765-008-0385-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-008-0385-1

Keywords

Navigation