“Nanocomposites and nanomaterials”
The Effect of Zero-point Vibrations on the Lifetime of Carbyne-Graphene Nanoelements
S.Kotrechko1, E. Kolyvoshko2, V. Dubinko3
1 G.V. Kurdyumov Institute for Metal Physics of the N.A.S. of Ukraine, Ukraine. Prospect Nauki, 46, Kyiv-03039, Ukraine.
2 Department of Physics of Metals, Faculty of Physics of Taras Shevchenko National University of Kyiv, 03127, Ukraine, Kyiv, Hlushkova Avenue, 4
E-mail: ekolivoshko@gmail.com
3 Kharkov Institute for Physics and Technology, National Academy of Sciences of Ukraine, Academicheskaja, 1, Kharkov 61108, Ukraine
Recently, much attention paid to the investigation of mono-atomic carbon chains - carbynes. This due first of all to the fact that carbyne is one of the key elements of nanodevices based on carbon. Prediction of the reliability and durability of such devices is one of the challenges for their practical use. Currently, the first steps are being taken to develop models for lifetime prediction of carbyne-graphene nanoelements (CGNs) [1, 2].
Extremely high moduli of elasticity are a specific feature of carbyne and graphene. This causes high values of their Debye temperatures. Accordingly, the amplitude of zero-point and thermal vibrations in these materials is comparable in the region of room temperatures and above. This report analyses the effect of zero-point vibrations on the lifetime of a CGN consisting of two sheets of graphene connected by a ten-atom chain of carbyne. Within the framework of the proposed model of the long-term strength of CGNs, the lifetime dependence on both temperature and the magnitude of the effective mechanical load were obtained. It is shown that at temperatures below 1000ºK, the presence of zero-point vibrations gives rise to a significant underestimation (tenfold and more) of the lifetime value. Only at temperatures higher than 1600-1800ºK, the influence of zero-point vibrations can be neglected.
For a wide range of temperatures and mechanical loads, a lower estimate of the lifetimes of carbyne-based nanodevices is given, which supports the possibility of their practical use.

1. Kotrechko S., Timoshevskii A.N., Kolyvoshko E.V., Matviychuk Yu.V., Stetsenko N. // Nanoscale Res Lett. -2017.- 12:327 P. 1-8.
2. Kotrechko S., Timoshevskii A., Kolyvoshko E., Matviychuk Y, Stetsenko N. and Zhang B. // Eur. Phys. J. Plus (2019) 134: DOI 10.1140/epjp/i2019-12611-5, 10 p.