Entropy matters! Czech research advances materials development

A team of scientists from the Czech Academy of Sciences and Faculty of Science at Masaryk University has made a major contribution to research into the accumulation of impurities at the interface between crystals, a phenomenon having caused e.g. a series of accidents at nuclear power stations in the UK in the 1960s. The study, published in the prestigious journal Progress in Materials Science, furthers the development of more resistant alloys or new technological processes for their production.

28 Feb 2025 Lucia Legerská

Steel bar (11 mm in diameter) with individual crystals (grains)made visible. The boundaries between them form a continuous network running through the whole bar. In the event of segregation of impurities such as phosphorus at these boundaries their cohesion is reduced and rapid brittle fracture occurs under subsequent mechanical stress.
PHOTO: René Volfík, FZÚ

The catastrophic failure of steel turbines in nuclear power plants is a manifestation of failed material cohesion. The destruction of the turbines in this case was not caused by problems in the actual operation of the nuclear power plant, but by the accumulation (segregation) of phosphorus at the interfaces between the metal crystals, the so-called grain boundaries.

Segregation of impurities has been studied by researchers around the world for decades, both experimentally and theoretically, and lately also using artificial intelligence. Yet experimental results and theoretical data rarely match. Czech scientists have now uncovered the nature of this puzzling discrepancy. A crucial role is played by entropy, which was previously often neglected in theoretical calculations

"The paper begins a new phase in the study of the segregation of impurities at grain boundaries in materials. My colleague and I have shown that the measured data cannot be well understood without including entropy and that entropy does matter. At the same time, I was able to predict a new type of segregation of impurities at grain boundaries that is completely controlled by entropy," explains Pavel Lejček from the Institute of Physics of the Czech Academy of Sciences.

Comprehensive knowledge of the behaviour of materials such as steels, including all types of grain boundary segregation, can significantly help not only the development of new materials resistant to intergranular embrittlement, but also the high-temperature stabilisation of highly promising nanocrystalline materials for structural purposes.

"The research initiates one of the important trends in this field, while being based entirely on the results of Czech science," emphasises Mojmír Šob from the Faculty of Science of Masaryk University.

Entropy is a thermodynamic quantity that characterizes the degree of disorder in a material. It therefore differs for a structurally ordered crystal and for less structurally ordered regions such as grain boundaries in the material. Entropy, along energy, is an important characteristic of the segregation of impurities at grain boundaries. It, therefore, cannot be considered a mere "mathematical artefact", as it is often referred to in the literature.

More information:

Prof. Ing. Pavel Lejček, DrSc.
Institute of Physics of the Czech Academy of Sciences
+420 601 103 287
lejcekp@fzu.cz

Prof. RNDr. Mojmír Šob, DrSc.
Faculty of Science, Masaryk University, Depatment of Chemistry
+420 549 49 7450
sob@chemi.muni.cz

Publication Entropy: A controversy between experiment and calculations in grain boundary segregation, Pavel Lejček, Mojmír Šob, Progress in Materials Science Volume 151, May 2025, 101431
https://doi.org/10.1016/j.pmatsci.2025.101431


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