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Vol 14, 2023
Pages: 226 - 232
Research article
Nonmetallic materials
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Published: 01.05.2023. Research article Nonmetallic materials

CALCULATION OF THERMAL CONDUCTIVITY FOR CRYSTALLINE NANOSTRUCTURES

By
Siniša M. Vučenović ,
Siniša M. Vučenović
Contact Siniša M. Vučenović

Faculty of Science, University of Banja Luka , Banja Luka , Bosnia and Herzegovina

Jovan P. šetrajčić
Jovan P. šetrajčić

Academy of Sciences and Arts of the Republic of Srpska Banja Luka, B&H , Banja Luka , Bosnia and Herzegovina

Abstract

We have introduced a theory for the calculation of thermodynamic characteristics for some
characteristic nanostructures (ultrathin films and superlattices), using the adapted method of twotime
temperature Green's functions. In this paper, we have determined the coefficient of thermal
conductivity using the definition of free energy and then compared their temperature dependence
to the thermal conductivity behavior of the bulk structures. For the observed nanostructures, the
thermal conductivity coefficient values are almost equal at low temperatures, but at the same time,
significantly lower than the bulk sample values. That result could be useful for the possible
achievement of better superconducting conditions in the observed compound nanostructures.

References

1.
Šetrajčić JP, Mirjanić DL, Vučenović SM, Ilić DI, Markoski B, Jaćimovski SK, et al. Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires. Acta Phys Pol A. 2009;115:778-782,.
2.
P.Šetrajčić J, Zorić VM, Delić NV, Mirjanić DL, Jaćimovski SK. Phonon Participation in Thermodynamics and Superconductive Properties of Thin Ceramic Films, Ch.15. M. :317-348,.
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Šetrajčić JP, Jaćimovski SK, Sajfert VD. Phonon contribution to heat capacitance of nanolayered crystalline structures. Modern Physics Letters B. 2015;29(04):1550008.
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Šetrajčcií JP, Sajfert VD, Jaćcimovski SK. Fundamental Preferences of the Phonon Engineering for Nanostructural Samples. Reviews in Theoretical Science. 2016;4(4):353–401.
5.
Šetrajčić JP, Jaćimovski SK, Vučenović SM. Diffusion of phonons through (along and across) the ultrathin crystalline films. Physica A: Statistical Mechanics and its Applications. 2017;486:839–48.

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