Structural transformations in quaternary nanoalloys Cu-Au-Pt-Pd of different morphology under successive thermally induced cycles
S.V. Serov, N.I. Nepsha, A.Yu.. Kolosov, D.N. Sokolov, K.G. Savina, S.A. Veresov, N.Yu.. Sdobnyakov
Tver State University
DOI: 10.26456/pcascnn/2025.17.466
Original article
Abstract: A molecular dynamics study of the structure formation processes in four-component Cu-Au-Pt-Pd nanoparticles (with a total number of 4000 atoms) was carried out during two successive cycles of thermally induced action. Two scenarios were proposed: the first scenario – both cycles with the same rate of 0,25 K/ps; the second scenario – the first cycle with a rate of 1 K/ps, the second – 0,25 K/ps. Six types of initial configurations for the Cu-Au-Pt-Pd nanosystem are considered: uniform distribution of atoms (Pd2400-Pt800-Au600-Cu200), core-shell configurations in which palladium atoms act as a shell, while the remaining elements are uniformly distributed in the core ((Cu200-Au600-Pt800)@Pd2400) or represent an onion-like structure (Cu200@Au600@Pt800@Pd2400), as well as Janus structures of three configurations: Cu200/Au600/Pt800/Pd2400, Cu100/Au300/Pt400/Pd2400/Pt400/Au300/Cu100, and Pd1200/Pt400/Au300/Cu200/Au300/Pt400/Pd1200. For each of the presented systems, caloric dependences of the potential part of the specific internal energy corresponding to the heating and cooling processes (for two cycles) were obtained; the hysteresis parameters of the melting and crystallization temperatures were determined, the patterns of chemical and structural segregation for configurations corresponding to the end of cooling were described. For the Au and Pd components, their distributions in the considered Cu-Au-Pt-Pd nanoparticles were constructed and analyzed. The specific surface energy, the value of which determines the mechanical stability, was also estimated. The results obtained for the specific surface energy were compared with the available experimental data taking into account the size effect.
Keywords: cycles of thermally induced action, four-component Cu-Au-Pt-Pd nanoparticles, molecular dynamics method, tight-binding potential, structure formation, melting-crystallization phase transition
- Sergei V. Serov – 1st year postgraduate student, General Physics Department, Tver State University
- Nikita I. Nepsha – Researcher, General Physics Department, Tver State University
- Andrei Yu.. Kolosov – Ph. D., Researcher, General Physics Department, Tver State University
- Denis N. Sokolov – Ph. D., Researcher, General Physics Department, Tver State University
- Kseniya G. Savina – 3rd year postgraduate student, General Physics Department, Tver State University
- Sergey A. Veresov – 4th year postgraduate student, General Physics Department, Tver State University
- Nickolay Yu.. Sdobnyakov – Dr. Sc., Docent, Professor, General Physics Department, Tver State University
For citation:
Serov S.V., Nepsha N.I., Kolosov A.Yu.., Sokolov D.N., Savina K.G., Veresov S.A., Sdobnyakov N.Yu.. Strukturnye prevrashcheniya v chetyrekhkomponentnykh nanosplavakh Cu-Au-Pt-Pd razlichnoj morfologii pri posledovatelnykh termoindutsirovannykh tsiklakh [Structural transformations in quaternary nanoalloys Cu-Au-Pt-Pd of different morphology under successive thermally induced cycles], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2025, issue 17, pp. 466-484. DOI: 10.26456/pcascnn/2025.17.466. ⎘
Full article (in Russian): download PDF file
References:
1. Ferrando R., Jellinek J., Johnston R.L. Nanoalloys: from theory to applications of alloy clusters and nanoparticles, Chemical Reviews, 2008, vol. 108, issue 3, pp. 845-910. DOI: 10.1021/cr040090g.
2. Eom N., Messing M.E., Johansson J. et al. General trends in core–shell preferences for bimetallic nanoparticles, ACS Nano, 2021, vol. 15, issue 5, pp. 8883-8895. DOI: 10.1021/acsnano.1c01500.
3. Dahale C., Srinivasan S., Mishra S. et al. Surface segregation in AgAuCuPdPt high entropy alloy: insights from molecular simulations, Molecular Systems Design & Engineering, 2022, vol. 7, issue 8, pp. 878-888. DOI: 10.1039/D2ME00045H.
4. Gusev A.I. Nanomaterialy, nanostruktury, nanotekhnologii [Nanomaterials, nanostructures, nanotechnologies], Moscow, Fizmatlit, 2005, 416 p. (In Russian).
5. Savina K.G., Veselov A.D., Grigoriev R.E. et al. Strukturnye prevrashcheniya v binarnykh nanochastitsakh Ti–V: razmernyi effekt i effekt izmeneniya sostava [Structural transformations in binary Ti–V nanoparticles: size effect and composition effect], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2024, issue 16, pp. 532-542. DOI: 10.26456/pcascnn/2024.16.532. (In Russian).
6. Romanovski V.I., Kolosov A.Yu., Khort A.A. et al. Osobennosti sinteza nanochastits Cu–Ni: eksperiment i komp’yuternoe modelirovanie [Features of Cu–Ni nanoparticle synthesis: experiment and computer modeling], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2020, issue 12, pp. 293-309. DOI: 10.26456/pcascnn/2020.12.293. (In Russian).
7. Romanovski V., Sdobnyakov N., Kolosov A. et al. Structure patterns of one-step synthesis of CuNi nanopowders in air environment: experiment and atomistic simulations, Nano-Structures & Nano-Objects, 2024, vol. 40, art. no. 101377, 10 p. DOI: 10.1016/j.nanoso.2024.101377.
8. Sdobnyakov N., Khort A., Myasnichenko V. et al. Solution combustion synthesis and Monte Carlo simulation of the formation of CuNi integrated nanoparticles, Computational Materials Science, 2020, vol. 184, art. no. 109936, 12 p. DOI: 10.1016/j.commatsci.2020.109936.
9. Samsonov V.M., Talyzin I.V., Kartoshkin A.Yu. et al. Surface segregation in binary Cu–Ni and Au–Co nanoalloys and the core–shell structure stability/instability: thermodynamic and atomistic simulations, Applied Nanoscience, 2019, vol. 9, issue 1, pp. 119-133. DOI: 10.1007/s13204-018-0895-5.
10. Bogdanov S., Samsonov V., Sdobnyakov N. et al. Molecular dynamics simulation of the formation of bimetallic core-shell nanostructures with binary Ni–Al nanoparticle quenching, Journal of Materials Science, 2022, vol. 57, issue 28, pp. 13467-13480. DOI: 10.1007/s10853-022-07476-2.
11. Samsonov V.M., Vasilev S.A., Talyzin I.V. et al. Nanothermodynamics on the example of metallic nanoparticles, Russian Journal of Physical Chemistry A, 2023, vol. 97, issue 8, pp. 1751-1760. DOI: 10.1134/S003602442308023X.
12. Guisbiers G., Khanal S., Ruiz-Zepeda F. et al. Cu–Ni nano-alloy: mixed, core–shell or Janus nano-particle?, Nanoscale, 2014, vol. 6, issue 24, pp. 14630-14635. DOI: 10.1039/C4NR05739B.
13. Yin H.-J., Zhou J.-H., Zhang Y.-W. Shaping well-defined noble-metal-based nanostructures for fabricating high-performance electrocatalysts: advances and perspectives, Inorganic Chemistry Frontiers, 2019, vol. 6, issue 10, pp. 2582-2618. DOI: 10.1039/C9QI00689C.
14. Lu X.-Z., Shao G.-F., Xu L.-Y., et al. Structural optimization and segregation behavior of quaternary alloy nanoparticles based on simulated annealing algorithm, Chinese Physics B, 2016, vol. 25, no. 5, pp. 053601-1-053601-8. DOI: 10.1088/1674-1056/25/5/053601.
15. Tang Z., Yeo B.C., Han S.S. et al. Facile aqueous-phase synthesis of Ag–Cu–Pt–Pd quadrometallic nanoparticles, Nano Convergence, 2019, vol. 6, art. no. 38, 7 p. DOI: 10.1186/s40580-019-0208-z.
16. Veresov S.A., Savina K.G., Veselov A.D. et al. K voprosu izucheniya protsessov strukturoobrazovaniya v chetyrekhkomponentnykh nanochastitsakh [To the problem of studying the processes of structure formation in four-component nanoparticles], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2022, issue 14, pp. 371-382. DOI: 10.26456/pcascnn/2022.14.371. (In Russian).
17. Kolosov A.Yu., Savina K.G., Veresov S.A. et al. Stsenarii strukturoobrazovaniya v chetyrekhkomponentnykh nanochastitsakh: atomisticheskoe modelirovanie [Scenarios of structure formation in quaternary nanoparticles: atomistic modeling], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2023, issue 15, pp. 432-443. DOI: 10.26456/pcascnn/2023.15.432. (In Russian).
18. Kolosov A.Yu., Veresov S.A., Serov S.V. et al. Razmernyi effekt v chetyrekhkomponentnykh nanochastitsakh Au–Cu–Pd–Pt i ikh stabil’nost’ [Size effect in quaternary Au–Cu–Pd–Pt nanoparticles and their stability], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2024, issue 16, pp. 361-372. DOI: 10.26456/pcascnn/2024.16.361. (In Russian).
19. Samsonov V.M., Talyzin I.V., Kartoshkin A.Y. et al. On the problem of stability/instability of bimetallic core-shell nanostructures: molecular dynamics and thermodynamic simulations, Computational Materials Science, 2021, vol. 199, art. no. 110710, 11 p. DOI: 10.1016/j.commatsci.2021.110710.
20. Bochicchio D., Ferrando R. Morphological instability of core-shell metallic nanoparticles, Physical Review B, 2013, vol. 87, issue 16, pp. 165435-1-165435-13. DOI: 10.1103/PhysRevB.87.165435.
21. Samsonov V.M., Sdobnyakov N.Yu., Kolosov A.Yu. et al. On the factors of stability/instability of bimetallic core–shell nanostructures, Bulletin of the Russian Academy of Sciences: Physics], 2021, vol. 85, issue 9, pp. 950-954. DOI: 10.3103/S1062873821090240.
22. Sato K., Matsushima Y., Konno T.J. Surface-segregation-induced phase separation in epitaxial Au/Co nanoparticles: formation and stability of core–shell structures, AIP Advances, 2017, vol. 7, issue 6, pp. 065309-1-065309-6. DOI: 10.1063/1.4986905.
23. Sdobnyakov N.Yu., Samsonov V.M., Kolosov A.Yu. et al. K probleme stabil’nosti/nestabil’nosti bimetallicheskikh struktur Co (yadro)/Au (obolochka) i Au (yadro)/Co (obolochka): atomisticheskoe modelirovanie [On the problem of stability/instability of bimetallic Co(core)/Au(shell) and Au(core)/Co(shell) structures: atomistic simulation], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2019, issue 11, pp. 520-534. DOI: 10.26456/pcascnn/2019.11.520. (In Russian).
24. Samsonov V.M., Sdobnyakov N.Yu., Kolosov A.Yu. et al. On the problem of stability of small objects by the example of molecular dynamics models of metallic nanoparticles and nanosystems, Colloid Journal, 2024, vol. 86, issue 1, pp. 109-119. DOI: 10.1134/S1061933X23601191.
25. Sdobnyakov N.Yu. [Modelirovanie strukturnykh prevrashchenij v odnokomponentnykh i mnogokomponentnykh metallicheskikh nanosistemakh: uchebnik] Simulation of structural transformations in single-component and multi-component metallic nanosystems: a textbook. Tver, Tver State University Publ., 2025, 408 p. DOI: 10.26456/sny.2025.408. (In Russian).
26. Sdobnyakov N.Yu., Kolosov A.Yu., Sokolov D.N., Savina K.G. MDSym. Certificate RF, no. 2025683621, 2025. (In Russian).
27. Cleri F., Rosato V. Tight binding potentials for transition metals and alloys, Physical Review B, 1993, vol. 48, issue 1, pp. 22-33. DOI: 10.1103/PhysRevB.48.22.
28. Paz Borbón L.O. Computational studies of transition metal nanoalloys. Doctoral Thesis accepted by University of Birmingham, United Kingdom. Berlin, Heidelberg, Springer-Verlag, 2011, 155 p. DOI: 10.1007/978-3-642-18012-5.
29. Ackland G.J., Jones A.P. Applications of local crystal structure measures in experiment and simulation, Physical Review B, 2006, vol. 73, issue 5, pp. 054101-1-054104-7. DOI: 10.1103/PhysRevB.73.054104
30. Polak W.Z. Efficiency in identification of internal structure in simulated monoatomic clusters: comparison between common neighbor analysis and coordination polyhedron method, Computational Materials Science, 2022, vol. 201, art. no. 110882, 8 p. DOI: 10.1016/j.commatsci.2021.110882.
31. Larsen P.M., Schmidt S., Schiøtz J. Robust structural identification via polyhedral template matching modelling, Modelling and Simulation in Materials Science and Engineering, 2016, vol. 24, no. 5, art. no. 055007, 18 p. DOI: 10.1088/0965-0393/24/5/055007.
32. Stukowski A. Visualization and analysis of atomistic simulation data with OVITO – the open visualization tool, Modelling and Simulation in Materials Science and Engineering, 2010, vol. 18, issue 1, pp. 015012-1-015012-7. DOI: 10.1088/0965-0393/18/1/015012.
33. Perevezentsev V.N. The theory of evolution of the microstructure of superplastic alloys and ceramics, Superplasticity. 60 years after Pearson, proceedings of the conference organized on behalf of the Superplastic Forming Committee of the Manufacturing Division of the Institute of Materials and Held at the University of Manchester Institute of Science and Technology, 7-8 December 1994, ed. by N. Ridley. London, CRC Press, 1995, pp. 51-59.
34. Sdobnyakov N.Yu., Sokolov D.N. Izuchenie termodinamicheskikh i strukturnykh kharakteristik nanochastits metallov v protsessakh plavleniya i kristallizatsii: teoriya i komp'yuternoe modelirovanie: monografiya [Study of the thermodynamic and structural characteristics of metal nanoparticles in the processes of melting and crystallization: theory and computer modeling: monograph]. Tver, Tver State University Publ., 2018, 176 p. (In Russian).
35. Talyzin I.V., Samsonov V.M., Bogdanov S.S., Sdobnyakov N.Yu., Grigoryev R.E., Pervikov A.V., Mishakov I.V. Identifikatsiya slozhnykh nanostruktur yadro-obolochka po radialnym raspredeleniyam lokalnoj plotnosti komponentov [Identification of complex core-shell nanostructures from the radial distributions of the local density of components], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2022, issue 14, pp. 307-320. DOI: 10.26456/pcascnn/2022.14.307.
36. Edelsbrunner H., Mücke E.P. Three-dimensional alpha shapes, ACM Transactions on Graphics, 1994, vol. 13, issue 1, pp. 43-72. Doi: 10.1145/147130.147153.
37. Alchagirov A.B., Alchagirov B.B., Taova T.M., Khokonov Kh.B. Surfaсе energy and surface tension of solid and liquid metals. Recommended values, Transitions JWRI, 2001, vol. 30, pp. 287-291.