Abstract:
A method for calculating the Debye temperature of a single-component substance in the amorphous state is proposed based on a nonlinear dependence of first coordination number kn of the given structure on its packing factor kp as established previously. Proceeding from previously defined parameters of the Mie–Lennard-Jones potential, the Debye temperatures have been calculated for some pure crystalline and amorphous metals, diamond, silicon, and germanium, which are in good agreement with estimations reported by other researchers. It is shown that a minimum specific Helmholtz free energy is attained at kp = 0.45556, which means that this packing corresponds to a thermodynamically stable amorphous structure.
This study was supported by the Russian Foundation for Basic Research (project no. 18-29-11013_mk) and the Presidium of the Russian Academy of Sciences (project no. I.13).
Citation:
M. N. Magomedov, “A change in the Debye temperature of a single-component substance upon amorphization”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:20 (2019), 32–35; Tech. Phys. Lett., 45:10 (2019), 1042–1046
\Bibitem{Mag19}
\by M.~N.~Magomedov
\paper A change in the Debye temperature of a single-component substance upon amorphization
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 45
\issue 20
\pages 32--35
\mathnet{http://mi.mathnet.ru/pjtf5293}
\crossref{https://doi.org/10.21883/PJTF.2019.20.48391.17944}
\elib{https://elibrary.ru/item.asp?id=41300906}
\transl
\jour Tech. Phys. Lett.
\yr 2019
\vol 45
\issue 10
\pages 1042--1046
\crossref{https://doi.org/10.1134/S1063785019100249}
Linking options:
https://www.mathnet.ru/eng/pjtf5293
https://www.mathnet.ru/eng/pjtf/v45/i20/p32
This publication is cited in the following 3 articles:
Peng-Hu Du, Jian Zhou, “Thermal property and lattice thermal conductivity of three-dimensional pentagonal silicon”, Physica B: Condensed Matter, 618 (2021), 413178
M. N. Magomedov, “An equation of the state and surface properties of amorphous iron”, Tech. Phys., 65:10 (2020), 1659–1665
M.N. Magomedov, “On the properties of the amorphous state of a single-component substance”, Journal of Non-Crystalline Solids, 546 (2020), 120263
Citation in format AMSBIB
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