Funct. Mater. 2023; 30 (4): 571-579.

doi:https://doi.org/10.15407/fm30.04.571

Relaxation of pores in nanoclusters

M.A.Ratner1, V.V.Yanovsky1,2

1Institute for Single Crystals, NAS Ukraine, 60 Nauky Ave., Kharkiv, 61001, Ukraine2V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61022, Ukraine

Abstract: 

Relaxation of a solid nanocluster with an internal pore was invrstigated using the molecular dynamics method. The distribution function for the lifetime of a pore in a cluster is construted. According to the simulation data, it is close to an exponential distribution funtion. It was shown that clusters in which pore relaxation occurs during simulation demonstrate two relaxation mehanisms. An explanation based on interaction of three vibrational modes is proposed for an unusual explosive relaxation mehanism as a consequence of the resonant interaction of two surface vibration modes wit the pore vibrational mode. The simulation data are in good agreement with theoretical explanation.The features of pore relaxation in clusters are also disussed in detail.

Keywords: 
nanocluster, molecular dynamics method, pore, relaxation, explosive relaxation, metastable state, diffusion, wavelet transformation.
References: 

1. Bridge across Disciplines. 1st Edition - December
20, 2010. Editors: Purusottam Jena, A. Welford
Castleman Jr. eBook ISBN: 9780080964225.

2. Protected Metal Clusters: From Fundamentals to Applications (Volume 9) (Frontiers of Nanoscience, Volume 9) 1st Edition by Tatsuya Tsukuda (Editor), Hannu Hakkinen (Editor)

3. Compounds of Superatom Clusters: Preferred Structures and Significant Nonlinear Optical Properties of the BLi6-X (X - F, LiF2, BeF3, BF4) Motifs Inorg Chem. 2008 Nov 3,47(21):9773-8. doi: 10.1021/ic800184z. Epub 2008 Oct 3.
https://doi.org/10.1021/ic800184z

4. A.K. Shirivastava et. al: Atomic Clusters: Theory and Experiments, Front. Chem., 01 November 2021 Sec. Physical Chemistry and Chemical Physics,Volume 9, 2021
https://doi.org/10.3389/fchem.2021.795113

5. R.S.Berry, B.M.Smirnov, Phase transitions in simple clusters, JETP, 100, Issue 6,1129-1141 (2005)
https://doi.org/10.1134/1.1995797

6. B.M.Smirnov, Clusters and phase transitions. UFN , 177, N4, 369 (2007)
https://doi.org/10.3367/UFNr.0177.200704d.0369

7. B. M. Smirnov, Clusters and Small Particles: in Gases and Plasmas, NY: Springer-Verlag (2000).
https://doi.org/10.1007/978-1-4612-1294-2

8. B. M. Smirnov, Melting of clusters with pair interaction of atoms, UFN, 164, N 11, 1165-1185 (1994)
https://doi.org/10.3367/UFNr.0164.199411b.1165

9. L. Verlet, Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones. Moleculesm Phys. Rev., 159, N 98, 99-103, (1967)
https://doi.org/10.1103/PhysRev.159.98

10. H. C. Andersen, Rattle: A "velocity" version of the shake algorithm for molecular dynamics calculations, J. Comput. Phys., 52, 24 (1983)
https://doi.org/10.1016/0021-9991(83)90014-1

11. M.A.Ratner, V.V.Yanovskiy, Magic pore dynamics in clusters, Functional Materials, 28, 151,2021
https://doi.org/10.15407/fm28.01.151

12. V.S.Koroliuk, N.I.Portenko, A.V.Skorohod, A.F. Turbin. Hand-book on Probability Theory and Mathematical Statistics, M. Nauka, 1985, 640 p (in Russian).

13. Cajetan M. Akujuobi, Wavelets and Wavelet Transform Systems and Their Applications: A Digital Signal Processing Approach, Springer Nature, 2022, 644pp.
https://doi.org/10.1007/978-3-030-87528-2

14. Ya.Weiland, H.Wilhemsson Coherent Non-linear Interaction of Waves in Plasma, Pergamon Press, 1977, pp.353.

15. V.V.Yanovsky, M.I.Kopp, M.A.Ratner, Evolution of vacancy pores in bounded particles, Functional materials, 26, (N1), (2019).
https://doi.org/10.15407/fm26.01.131

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