Structural stability of a ring quantum dot

Editorial Board PCSS Journal; A.O. Vinkovskaya; A.E. Kiv; T.S. Kavetskyy; D.O. Dyachok; I.I. Donchev; I.D. Nyshchak; G.M. Kossak; Y.Y. Kukhazh; O. Šauša

doi:10.15330/pcss.27.3.561-565

Authors

A.O. Vinkovskaya South Ukrainian National Pedagogical University named after K.D. Ushynsky, Odesa, Ukraine
A.E. Kiv South Ukrainian National Pedagogical University named after K.D. Ushynsky, Odesa, Ukraine; Ben-Gurion University of the Negev, Beer-Sheva, Israel
T.S. Kavetskyy Drohobych Ivan Franko State Pedagogical University, Drohobych, Ukraine; South Ukrainian National Pedagogical University named after K.D. Ushynsky, Odesa, Ukraine; Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia
D.O. Dyachok South Ukrainian National Pedagogical University named after K.D. Ushynsky, Odesa, Ukraine
I.I. Donchev South Ukrainian National Pedagogical University named after K.D. Ushynsky, Odesa, Ukraine
I.D. Nyshchak Drohobych Ivan Franko State Pedagogical University, Drohobych, Ukraine
G.M. Kossak Drohobych Ivan Franko State Pedagogical University, Drohobych, Ukraine
Y.Y. Kukhazh Drohobych Ivan Franko State Pedagogical University, Drohobych, Ukraine
O. Šauša Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia; Department of Nuclear Chemistry, FNS, Comenius University, Bratislava, Slovakia

DOI:

https://doi.org/10.15330/pcss.27.3.561-565

Keywords:

nanoobjects, nano-ring, Lennard-Jones potential, potential of two springs, Hooke forces, local oscillations

Abstract

Nanoobjects have wide applications and are actively studied. They are distinguished by unique electronic properties. Investigating their electronic properties is impossible without detailed information about their atomic structure. This paper presents an approach which allows predicting the stability of nano-ring using classical approximations. The proposed approach is used to study a single-layer nano-ring, which is essentially a quantum dot cut from a nanotube. Approaches based on machine learning methods are currently often used to solve similar problems. However, classical approximations have not lost their significance and prove useful in a number of cases. This paper introduces the Hooke force for the angular and the radial stabilization of nano-ring. This makes it possible to formulate conditions for the structural stability of a ring quantum dot.

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