Skip to main content
Log in

Estimation of limits of detection and determination in X-ray fluorescence analysis by the dependence of the relative standard deviation on analyte concentration

  • Articles
  • Published:
Journal of Analytical Chemistry Aims and scope Submit manuscript

Abstract

An experimental dependence of the relative standard deviation on analyte concentration of hyperbolic type, characterizing the precision of quantitative chemical analysis, was used to estimate the limits of detection and determination in the X-ray fluorescence analysis. A method is proposed for the determination of their values using the approximation of the experimental dependence of the relative standard deviation on the analyte concentration by a power function. The choice of the values of the relative standard deviation, being criteria for the estimation of these limits, is substantiated. A concept of the limits of detection and determination of an analytical procedure is formulated, according to which the limit of detection of an analytical procedure is an objective value depending only on the precision of determinations, and the limit of determination of an analytical procedure is a subjective value depending not only on the precision of determinations but also on the requirements to their limiting (admissible) accuracy. The limits of detection and determinations of an analytical procedure found by this approach completely characterize the possibilities of an analytical procedure in determining low concentrations of analytes. The proposed approach can be used for the estimation of the limits of detection and determination of analytical procedures and in other methods of chemical analysis with the hyperbolic dependence of the relative standard deviation on the analyte concentration.

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

  1. Kaiser, H. and Specker, H., Z. Anal. Chem., 1956, vol. 149, nos. 1–2, p. 46.

    Article  CAS  Google Scholar 

  2. IUPAC. Compendium of Chemical Terminology 2006, last update, August 19, 2012, ver. 2.3.2. http://goldbook. iupac.org. Cited April 12, 2015.

    Google Scholar 

  3. http://www.european-accreditation.org/publication/citac-eurachem-ta. Cited April 12, 2015.

  4. GOST (State Standard) R 52361-2005: Analytical Control of the Object. Terms and Definitions, Moscow: Standartinform, 2005.

    Google Scholar 

  5. Borkhodoev, V.Ya., J. Anal. Chem., 2014, vol. 69, no. 11, p. 1041.

    Article  CAS  Google Scholar 

  6. Borkhodoev, V.Ya., J. Anal. Chem., 2015, vol. 70, no. 11, p. 1307.

    Article  CAS  Google Scholar 

  7. Rousseau, R.M., Rigaku J., 2001, vol. 18, no. 2, p. 33.

    CAS  Google Scholar 

  8. Smagunova, A.N. and Karpukova, O.M., Metody matematicheskoi statistiki v analiticheskoi khimii (Methods of Mathematical Statistics in Analytical Chemistry), Rostov-on-Don: Feniks, 2012.

    Google Scholar 

  9. Garmash, A.V. and Sorokina, N.M., Metrologicheskie osnovy analiticheskoi khimii (Metrological Basics of Analytical Chemistry), Moscow: Mosk. Gos. Univ., 2005.

    Google Scholar 

  10. Eksperiandova, L.P., Belikov, K.N., Khimchenko, S.V., and Blank, T.A., J. Anal. Chem., 2010, vol. 65, no. 3, p. 223.

    Article  CAS  Google Scholar 

  11. Thomsen, V., Schatzlein, D., and Mercuro, D., Spectroscopy, 2003, vol. 18, no. 12, p. 112 www.spectroscopyonline. com

    CAS  Google Scholar 

  12. Biermann, H., Important factors that influence the determination of detection limits. Environmental Hazards Assessment Program State of California, 1989.

    Google Scholar 

  13. Borkhodoev, V.Ya., J. Anal. Chem., 1996, vol. 51, no. 2, p. 209.

    CAS  Google Scholar 

  14. OST (Branch Standard) 41-08-205-94: Quality Management of Analytical Works. Procedures for Quantitative Chemical Analysis. Development, Certification, and Approval, Moscow: VIMS, 2004.

  15. Kadachia, A.N. and Al-Eshaikhb, M.A., X-Ray Spectrom., 2012, vol. 41, no. 5, p. 350.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Ya. Borkhodoev.

Additional information

Original Russian Text © V.Ya. Borkhodoev, 2016, published in Zhurnal Analiticheskoi Khimii, 2016, Vol. 71, No. 9, pp. 910–915.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Borkhodoev, V.Y. Estimation of limits of detection and determination in X-ray fluorescence analysis by the dependence of the relative standard deviation on analyte concentration. J Anal Chem 71, 872–877 (2016). https://doi.org/10.1134/S1061934816070054

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061934816070054

Keywords

Navigation