Abstract
It has been shown that the heat capacity of argentite β-Ag2S, which is nanocrystalline superionic silver sulfide, includes an additional positive contribution caused by the existence of the lower and upper bounds of the phonon spectrum because of a small size of particles. The estimate of this contribution from experimental data on the difference of the heat capacities of nano- and coarse-crystalline argentite β-Ag2S in the region of its existence 470–850 K makes it possible to determine for the first time the velocities of propagation of longitudinal and transverse elastic oscillations cl and ct and the elastic rigidity constants c11, c12, and c44. It has been found that an increase in the temperature results in a decrease in the elastic characteristics of argentite. The directions of the crystal lattice of argentite corresponding to the maximum and minimum elastic moduli have been determined.
Similar content being viewed by others
References
S. I. Sadovnikov, A. A. Rempel, and A. I. Gusev, Nanostructured Lead, Cadmium and Silver Sulfides: Structure, Nonstoichiometry and Properties (Springer Int., Cham, Heidelberg, 2018).
W. T. Thompson and S. N. Flengas, Can. J. Chem. 49, 1550 (1971).
S. I. Sadovnikov, A. V. Chukin, A. A. Rempel’, and A. I. Gusev, Phys. Solid State 58, 30 (2016).
S. I. Sadovnikov and A. I. Gusev, JETP Lett. 109, 584 (2019).
S. I. Sadovnikov, A. I. Gusev, A. V. Chukin, and A. A. Rempel, Phys. Chem. Chem. Phys. 18, 4617 (2016).
S. I. Sadovnikov and A. I. Gusev, Phys. Solid State 59, 1887 (2017).
S. I. Sadovnikov and A. I. Gusev, J. Therm. Anal. Calorim. 131, 1155 (2018).
A. I. Gusev and S. I. Sadovnikov, Thermochim. Acta 660, 1 (2018).
S. I. Sadovnikov, A. V. Ishchenko, and I. A. Weinstein, J. Alloys Compd. 831, 154846 (2020).
S. I. Sadovnikov and I. A. Balyakin, Compd. Mater. Sci. 184, 109821 (2020).
R. Khenata, A. Bouhemadou, M. Sahnoun, A. H. Reshak, H. Baltache, and M. Rabah, Compd. Mater. Sci. 38, 29 (2006).
S. I. Sadovnikov and A. I. Gusev, J. Exp. Theor. Phys. 129, 1005 (2019).
R. Gaillac, P. Pullumbi, and F.-X. Coudert, J. Phys.: Condens. Matter 28, 275201 (2016).
Yu. I. Petrov, Physics of Small Particles (Nauka, Moscow, 1982) [in Russian].
A. I. Gusev and A. A. Rempel, Nanocrystalline Materials (Cambridge Int. Science, Cambridge, 2004).
S. I. Sadovnikov and A. I. Gusev, J. Alloys Compd. 610, 196 (2014).
C. M. Perrott and N. H. Fletcher, J. Chem. Phys. 50, 2344 (1969).
F. Grønvold and E. F. Westrum, J. Chem. Therm. 18, 381 (1986).
R. H. Bolt, J. Acoust. Soc. Am. 10, 228 (1939).
D.-Y. Maa, J. Acoust. Soc. Am. 10, 235 (1939).
E. W. Montrol, J. Chem. Phys. 18, 183 (1950).
Ya. A. Iosilevskii, Phys. Status Solidi B 60, 39 (1973).
M. G. Burt, J. Phys. C: Solid State Phys. 6, 855 (1973).
G. H. Comsa, D. Heitkamp, and H. S. Räde, Solid State Commun. 24, 547 (1977).
S. I. Sadovnikov, Phys. Solid State 60, 2546 (2018).
G. A. Alers, in Physical Acoustics. Principles and Methods, Lattice Dynamics, Ed. by W. P. Mason (Academic, New York, London, 1965), Vol. 3, part B, ch. 1, p. 12.
R. E. Newnham, Properties of Materials: Anisotropy, Symmetry, Structure (Oxford Univ. Press, Oxford, New York, 2005), p. 106.
T. Gnäupel-Herold, P. C. Brand, and H. J. Prask, J. Appl. Crystallogr. 31, 929 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 3, pp. 203–208.
Funding
This work was supported by the Russian Science Foundation (project no. 19-79-10101) and was performed at the Institute of Solid State Chemistry, Ural Branch, Russian Academy of Sciences (Yekaterinburg, Russia).
Rights and permissions
About this article
Cite this article
Sadovnikov, S.I. Velocities of Longitudinal and Transverse Elastic Vibrations in Superionic Silver Sulfide. Jetp Lett. 112, 193–198 (2020). https://doi.org/10.1134/S0021364020150096
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364020150096