Research News

Jan 6, 2023

Bayesian inference massively cuts time of X-ray fluorescence analysis!

Saved seconds add up to hours over multiple measurements

X-ray fluorescence spectra at 1, 3, 5, and 3600 seconds. The left graph shows measurements without Bayesian estimation, while the right graph shows measurements using Bayesian estimation, which tends to derive accurate values even at shorter measurement times.

How can the component elements of an unknown material, such as a meteorite, be determined? X-ray fluorescence analysis can be used to identify an abundance of elements, by irradiating samples with X-rays and analyzing the spectrum they emit and can detect many elements simultaneously. For this reason, X-ray fluorescence analysis has been used to detect toxic heavy metals levels in soil. Current methods of X-ray fluorescence analysis take about 10 minutes to accurately identify elements, so new methods that can measure large quantities or take multiple measurements of unknown materials quickly are desired.

A joint research group, including Dr. Tsugufumi Matsuyama, Professor Kouichi Tsuji, and Masanori Nakae, a second-year master's student at the Osaka Metropolitan University Graduate School of Engineering, and researchers from the Japan Atomic Energy Agency, has developed a new method by applying Bayesian estimation to X-ray fluorescence analysis. The group succeeded in reducing the measurement time of an X-ray fluorescence spectrum per measurement point, from 7 seconds to 3 seconds—reducing the time needed by 4 seconds to obtain analysis results that were not significantly different to the spectra obtained from measuring a glass standard sample for one hour. For example, when creating an elemental distribution, as many as 10,000 measurements may be taken, over a small area, depending on the sample. So, reducing the measurement time per point by 4 seconds, can reduce the total measurement time by 40,000 seconds—which is about 11 hours—when creating an elemental distribution.

Dr. Matsuyama stated, “We have successfully integrated analytical chemistry and informatics, using applied Bayesian inference to X-ray fluorescence analysis. Further studies are needed to determine whether it is possible to use this method to detect trace amounts of elements. If we can perform rapid elemental analysis in a non-destructive manner without needing to contact the sample, this technique could be popular in many fields, such as analysis of industrial products or waste materials carried on conveyor belts, and monitoring of ongoing chemical reactions.”

The research results were published in Spectrochimica Acta Part B: Atomic Spectroscopy on December 1, 2022.


This work was supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI, grant numbers 21K14655, 22H02108.

Paper Information

Journal: Spectrochimica Acta Part B: Atomic Spectroscopy

Title: Spectrum prediction in X-ray fluorescence analysis using Bayesian estimation

DOI: 10.1016/j.sab.2022.106593

Author: Tsugufumi Matsuyama, Masanori Nakae, Masashi Murakami, Yukihiko Yoshida, Masahiko Machida, Kouichi Tsuji

Publish: December 1, 2022


Graduate School of Engineering
E-mail: t-matsuyama[at]
Kouichi TSUJI
E-mail: k-tsuji[at]
*Please change [at] to @.


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