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Anharmonicity of Lattice Vibrations and the Thermal Properties of Cd1 – xSrxF2 Solid Solutions

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Abstract

The temperature changes in the crystal lattice parameters a(T) of cadmium and strontium fluorides and also of their mutual Cd1 – xSrxF2 (x = 0.23, 0.50) solid solutions has been studied experimentally at temperatures 5–300 K. The temperature dependences of the unit cell volume of these fluorides are analyzed in the Debye–Einstein model. The lattice vibration anharmonicity of the solutions is found to substantially influence their thermal properties due to a disordering of their crystal structure. The model parameters and the characteristics of the anharmonic contribution have been determined. The results are used to calculate the concentration dependence of the thermal conductivity of the Cd1 – xSrxF2 solid solutions at T = 300 K in the Callaway model, and the calculation results are compared to the available experimental data. It is shown that the thermal conductivity of the single-crystal solid solution of the system under study can be estimated on the base of the data on the thermal properties of the solution components obtained from powder samples.

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Funding

This work was supported by the Russian Foundation for Basic Research and the Administration of Bryansk Region (project no. 18-42-320002) and the Ministry of Science and Higher Education of the Russian Federation in the framework of the studies on the state task to the Crystallography and Photonics Federal Research Center of the Russian Academy of Sciences as for the crystal growth for our studies.

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Authors and Affiliations

  1. Petrovskii Bryansk State University, 241036, Bryansk, Russia

    V. V. Novikov, N. V. Mitroshenkov, S. V. Kuznetsov & P. A. Popov

  2. Shubnikov Institute of Crystallography, Crystallography and Photonics Federal Research Center, Russian Academy of Sciences, 119333, Moscow, Russia

    I. I. Buchinskaya, D. N. Karimov & A. V. Koshelev

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  1. V. V. Novikov
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  2. N. V. Mitroshenkov
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  3. S. V. Kuznetsov
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  4. P. A. Popov
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  5. I. I. Buchinskaya
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  6. D. N. Karimov
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  7. A. V. Koshelev
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Correspondence to V. V. Novikov.

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Translated by Yu. Ryzhkov

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Novikov, V.V., Mitroshenkov, N.V., Kuznetsov, S.V. et al. Anharmonicity of Lattice Vibrations and the Thermal Properties of Cd1 – xSrxF2 Solid Solutions. Phys. Solid State 62, 714–721 (2020). https://doi.org/10.1134/S1063783420040174

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