The Role of Phonons in Stability of Metallic Nanoparticles
https://doi.org/10.25205/2541-9447-2020-15-2-97-104
Abstract
A novel model of a metallic nanoparticle is proposed. The model represents the nanoparticle as a hollow sphere. The existence of a nanohollow inside a particle is related to the behavior of phonons. The strain in the walls of a particle when it's heated is calculated utilizing the theory of a thick-walled shell. We show that in the transition to the elastic state, the expansion strains at the surface of a nanoparticle become sufficient for melting. The dependency of melting temperature on the size of a nanoparticle is discussed.
About the Authors
V. A. Orlov
Independent Researcher
Russian Federation
Russian Federation
Vladimir L. Orlov, Candidate of Science (Physics and Mathematics)
Barnaul
A. V. Orlov
Yugra State University
Russian Federation
Russian Federation
Aleksey V. Orlov, Candidate of Science (Physics and Mathematics), the docent
Khanty-Mansiysk
References
1. Suzdalev I. P. Nanotechnology: physical chemistry of nanoclusters, nanostructures and nanomaterials. Moscow, Komkniga, 2006, 592 p. (in Russ.)
2. Koboyasi N. Introduction to nanotechnology. 2nd ed. Moscow, Binom. Laboratory of knowledge, 2008, 134 p. (in Russ.)
3. Poole Ch., Owens F. Nanotechnologies. Moscow, Technosphere, 2005, 336 p. (in Russ.)
4. Gusev A. N., Rempel A. A. Nanocrystalline materials. Moscow, Fizmatlit, 2000, 224 p. (in Russ.)
5. Andrievsky R. A. Textbook for students of higher educational institutions. Moscow, Academy Publ., 2005, 192 p. (in Russ.)
6. Oura K. et al. Introduction to surface physics: Institute of automation and control processes of UPR. Feb RAS. Moscow, 2006, 490 p. (in Russ.)
7. Buffat Ph., Borel J. P. Size effect on the melting temperature of gold particles. Phys. Rev. A, 1976, vol. 13, no. 6, p. 2287–2298.
8. Sdobnyakov N. Yu. et al. On the size dependence of the melting temperature of nanoparticles.
9. Izvestiya RAS, Physical Series, 2008, vol. 72, no. 10, p. 1448–1450. (in Russ.)
10. Gladkikh N. T., Krishtel A. P., Bogatyrenko S. N. Melting point of nanoparticles and the energy of formation of vacancies in them. Journal of Tech. Phys., 2010, vol. 80, iss. 11. (in Russ.)
11. Vlasenko V. G. et al. Determination of the melting point of palladium particles by x-ray absorption spectroscopy. Phys. Tverd. Tela, 2016, vol. 58, iss. 2. (in Russ.)
12. Equations and boundary value problems of the theory of plasticity and creep. Reference book. Comp. by G. S. Pisarenko, N. S. Mozharovsky. Kiev, Naukova Dumka Publ., 1981, 496 p. (in Russ.)
13. Landau L. D., Lifshits E. M. Theory of elasticity. Moscow, Nauka, 1987, 248 p. (in Russ.)
Review
For citations:
Orlov V.A., Orlov A.V. The Role of Phonons in Stability of Metallic Nanoparticles. SIBERIAN JOURNAL OF PHYSICS. 2020;15(2):97-104. (In Russ.) https://doi.org/10.25205/2541-9447-2020-15-2-97-104
Views:
122
Email this article 