Nanoscale physics

The influence of the nanoparticles size on the coefficient of linear thermal expansion of Ag
Filatov O.V.1,2, Soldatenko O.M.2, Soldatenko S.M.2
1 Physics of Atomic Transport Processes Department, G.V. Kurdyumov Institute for Metal Physics of the NAS of Ukraine. Academician Vernadsky Boulevard, 36, Kyiv-03142, Ukraine. 

2 Metal Physics Department, Faculty of Physical engineering, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”. Prosp. Peremohy, 37, Kyiv-03056, Ukraine.
E-mail: oksana.hubina2811@gmail.com

The studying of the coefficient of linear thermal expansion (CLTE) is important for understanding how does the material behave under different thermal conditions. It could be very useful to provide the material with stable or even zero CLTE on the whole temperature range of material exploitation. 
The main aim of this work was to find the correlation between the size of silver nanotube and its CLTE (α). As a research method the molecular dynamics (MD) simulation with the embedded-atom method (EAM) potential was used. The temperature range of study was 150 – 450 K.
There were built approximation lines (α = b·T + c, where T is temperature, b and c - coefficients) for the CLTEs of each nanotube with different diameter and different percentage of atoms on the surface respectively. 

Figure 1 – The dependence of the coefficient b on the percentage of atoms on the surface of silver nanotube.

The presence of positive and negative areas of b indicates that there is a number of surface atoms where the CLTE is stable on whole temperature range.