Abstract
The paper offers a brief overview of the modern procedures for determining the chemical composition of copper alloys along with the applied methods of analytical control. It has been shown that to obtain reliable and comparable results of measuring the mass fractions of copper alloys elements within wide ranges of values, the most suitable procedures are based on the X‑ray fluorescence method, implemented using portable X‑ray fluorescence spectrometers. In order to select the optimal values of the influencing quantities when determining the chemical composition of copper alloys, a robust parameter design of a quantitative chemical analysis procedure was carried out using X‑50 Mobile X‑ray fluorescence spectrometer. The use of robust parameter design as opposed to conducting a full factorial experiment when developing a measurement procedure makes it possible to optimize the measurement conditions and obtain results of the required accuracy with a limited number of experiments and a maximum number of controlled factors. An example of drawing up an experimental plan for the parameter design of such procedure is provided, and a statistical analysis of the measurement results is carried out. The authors have analyzed and selected the optimal measurement conditions (influencing quantities), which ensure the minimum error of the results of measuring the mass fraction of elements. By selecting the optimal values of the influencing quantities based on the results of robust parameter design of the quantitative chemical analysis procedure, it became possible to increase the accuracy of determining the chemical composition of copper alloys and, hence, improve the reliability of the product quality control results at a relatively low cost. Such approach can be recommended for use by analytical laboratories developing procedures of quantitative chemical analysis for metallurgical enterprises.
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Notes
“Vedomosti:” EU export of Russian-made copper dropped by five times. URL: https://www.vedomosti.ru/business/articles/2023/07/20/986108-eksport-rossiiskoi-medi-v-es-sokratilsya (access date: November 17, 2023).
GOST 30608-98: Tin bronzes. Method of X‑ray fluorescence analysis.
GOST R ISO 16336-2020: Statistical methods. Applications to new technologies and product development process. Robust parameter design (RPD).
GOST 18175-78: Formable tin-free bronzes. Grades.
GOST 5017-2006: Formable tin bronzes. Grades.
GOST 15527-2004: Formable copper-zinc alloys (brasses). Grades.
References
Karpov, Yu.A., Savostin A.P., Sal’nikov V.D.: Analiticheskij Kontrol’ v Metallurgicheskom Proizvodstve (Analytical Control in Metallurgical Production) [in Russian], Akademkniga Publ. Moscow (2006)
Van Meel, K., Smekens, A., Behets, M.: Anal. Chem. 79(16), 6383–6389 (2007). https://doi.org/10.1021/ac070815r
Ermolinskaya V., Nikolaev V., Bakhvalov A. et al.: The automatic system for measuring of the concentrations of metals in the technological solutions based on the portable XRF analyzer “X-SPEC”. Analytics 21(2), 134–137 (2015).
Nikolaev, Yu.N., Kal’ko, I.A., Mitoyan, R.A. et al.: Ispol’zovanie polevogo rentgenofluorescentnogo analiza pri poiskah medno-porfirovogo orudeneniya. Rudy i metally, (3–4), 127–128 (2011)
Nikolaev Yu.N., Mitoyan R.A., Sidorina Yu.N., et al.: Application of new generation field X‑ray fluorescence analyzers to prospect of porphyry-copper deposits. Prospect Protection Miner. Resour. (2), 52–57 (2013)
Boriskin, O.I., Nuzhdin, G.A., Muravyeva, I.V.: Identification of ferrous metals and alloys using the mobile X‑50 X‑ray express analyzer. Chernye Metally (3), 37–41 (2020)
Losev, N.F., Smagunova, A.N.: Fundamentals of X‑ray Spectral Fluorescence Analysis [in Russian]. Himiya Publ., Moscow (1982)
Kononyuk, A.E.: Fundamentals of Scientific Research (General Theory of Experiment) [in Russian], 4 Vol. KNT Publ., Kiev (2011)
Thach, N.K., Krechetov, I.S., Berestov, V.V.: Nanosyst. Phys. Chem. Math. 13(5), 565–573 (2022). https://doi.org/10.17586/2220-8054-2022-13-5-565-573
Bogomolova, S.A.: Application of robust parametric design technique to the development process of measurement procedures. Leg. Appl. Metrol. (2), 44–48 (2021)
Bogomolova, S.A., Muravyeva, I.V.: Meas. Tech. 64(9), 772–777 (2021). https://doi.org/10.1007/s11018-022-02002-x
Borovikov, V.P.: Populyarnoe Vvedenie v Sovremennyj Analiz Dannyh i Mashinnoe Obuchenie na STATISTICA (A Popular Introduction to Modern Data Analysis and Machine Learning in STATISTICA) [in Russian], Goryachaya Liniya—Telekom Publ., Moscow (2023)
Evans, M.: MiniTab manual. W.H. Freeman and Company Ltd. (2009)
Maxfield, B.: Essential PTC Mathcad Prime 3.0. A Guide for New and Current Users. Elsevier Inc. (2014)
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Translated from Izmeritel’naya Tekhnika, No. 11, pp. 66–71, November, 2023. Russian https://doi.org/10.32446/0368-1025it.2023-11-66-71.
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Original article submitted August 31, 2023; approved after reviewing October 18, 2023; accepted for publication October 18, 2023.
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Mitrofanova, S.A., Muravyeva, I.V. Robust parameter design of the procedure for determining the chemical composition of copper alloys by X-ray fluorescence. Meas Tech (2024). https://doi.org/10.1007/s11018-024-02304-2
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DOI: https://doi.org/10.1007/s11018-024-02304-2
Keywords
- Measurement procedure
- X‑ray fluorescence method
- Spectrometer
- Chemical composition
- Copper alloys
- Robust design of experiment
- Measurement error