Alternative Methods for Determination of Certified Value and its Uncertainty: Case Study of Using the Gravimetric Method for Preparation of Gaseous Primary Reference Material of Ethanol in Nitrogen at the Slovak Institute of Metrology

  • S. Ďuriš
  • Z. Ďurišová
  • J. Palenčár
  • P. Pavlásek
  • G. WimmerEmail author
  • V. Witkovský

Gaseous mixtures of ethanol in nitrogen are prepared by the gravimetric method according to ISO 6142. The liquid component, ethanol, is added into the cylinder by the gas tight syringe. The exact amount of added liquid is determined by weighing the syringes. The exact amount of ethanol is calculated before starting filling the cylinder in accordance with the concentration of the final mixture. This calculated amount of liquid is filled into the syringe. The same type and volume of the empty syringe is used as a reference syringe. Before filling, the full syringe is weighed vs. the reference syringe. After filling, the empty syringe is weighed vs. the reference syringe. This procedure and the determination of the uncertainty of the weighing have a considerable influence on the certified value of the final mixture. Here, based on this simple experiment, we present the approach for uncertainty analysis used at the Slovak Institute of Metrology and compare it with different approaches, which includes the GUM uncertainty framework, the Monte Carlo method, and the characteristic function approach.



The research was supported by the Slovak Research and Development Agency, projects APVV-15-0164 and APVV-15-0295, and by the Scientific Grant Agency VEGA of the Ministry of Education of the Slovak Republic and the Slovak Academy of Sciences, by the projects VEGA 2/0054/18, 1/0098/18, 1/0556/18, 1/0610/17 and 2/0011/16, and the agency KEGA projects 039STU-4/2017 and 006STU-4/2018.


  1. 1.
    ISO 6142:2001, Gas Analysis – Preparation of Calibration Gas Mixtures – Gravimetric Method.Google Scholar
  2. 2.
    A. Alink and A. M. H. Van der Veen, “Uncertainty calculations for the preparation of primary gas mixtures. Part 1: Gravimetry,” Metrologia, 37, No. 6, 641–650 (2000).ADSCrossRefGoogle Scholar
  3. 3.
    JCGM 100:2008, Guide to the Expression of Uncertainty in Measurement (GUM). Google Scholar
  4. 4.
    JCGM 101:2008, Evaluation of Measurement Data – Suplement 1 to the Guide to the Expression of Uncertainty in Measurement – Propagation of Probability Distributions Using a Monte Carlo Method. Google Scholar
  5. 5.
    JCGM 102:2011, Evaluation of Measurement Data – Supplement 2 to the Guide to the Expression of Uncertainty in Measurement – Extension to Any Number of Output Quantities, Joint Committee for Guides in Metrology (ISO, BIPM, IEC, IFCC, ILAC, IUPAC, IUPAP and OIML) (2011).Google Scholar
  6. 6.
    V. Witkovský, “Numerical inversion of a characteristic function: An alternative tool to form the probability distribution of output quantity in linear measurement models,” Acta IMEKO, 5, No. 3, 32–44 (2016).CrossRefGoogle Scholar
  7. 7.
    V. Witkovský, CharFunTool: The Characteristic Functions Toolbox (MATLAB) (2018),
  8. 8.
    V. Witkovský, G. Wimmer, Z. Ďurišová, et al., “Brief overview of methods for measurement uncertainty analysis: GUM uncertainty framework, Monte Carlo method, characteristic function approach,” in: Measurement 2017: 11th Int. Conf. on Measurement, IEEE, pp. 35–38.Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • S. Ďuriš
    • 1
  • Z. Ďurišová
    • 2
  • J. Palenčár
    • 1
  • P. Pavlásek
    • 1
    • 2
  • G. Wimmer
    • 3
    • 4
    Email author
  • V. Witkovský
    • 5
  1. 1.Faculty of Mechanical EngineeringSlovak University of TechnologyBratislavaSlovakia
  2. 2.Slovak Institute of MetrologyBratislavaSlovakia
  3. 3.Mathematical Institute, Slovak Academy of SciencesBratislavaSlovakia
  4. 4.Faculty of ScienceMatej Bel UniversityBanská BystricaSlovakia
  5. 5.Institute of Measurement Science, Slovak Academy of SciencesBratislavaSlovakia

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