najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2024-15-2-255-259najo-59Research ArticleCHEMISTRY AND MATERIALS SCIENCEХИМИЯ И НАУКА О МАТЕРИАЛАХNumerical model of temperature-dependent thermal conductivity in M1−x Rx F2+x heterovalent solid solution nanocomposites where M stands for alkaline-earth metals and R for rare-earth metalsРасчетная модель температурной зависимости теплопроводности нанокомпозитов - гетеровалентных твердых растворов M1-xRxF2+x, где М – щелочноземельные, R -редкоземельные элементыhttps://orcid.org/0000-0001-7555-1390ПоповП. А.PopovP. A.

241036 Брянск, ул. Бежицкая, 14

Pavel A. Popov.

14 Bezhitskaya str., Bryansk, 241036

tfbgubry@mail.ruhttps://orcid.org/0009-0001-4090-2506ЩелоковА. В.ShchelokovA. V.

241036 Брянск, ул. Бежицкая, 14

Alexander V. Shchelokov.

14 Bezhitskaya str., Bryansk, 241036

alexandershchelokov@mail.ruhttps://orcid.org/0000-0002-2918-3926ФедоровП. П.FedorovP. P.

119991 Москва, ул. Вавилова, 38

Pavel P. Fedorov.

38 Vavilova str., Moscow, 119991

ppfedorov@yandex.ruБрянский государственный университет им. И.Г. ПетровскогоРоссияPetrovsky Bryansk State UniversityRussian FederationИнститут общей физики им. А.М. Прохорова Российской академии наукРоссияProkhorov General Physics Institute of the Russian Academy of SciencesRussian Federation202431052025152255259Copyright © Popov P.A., Shchelokov A.V., Fedorov P.P., 20252025Попов П.А., Щелоков А.В., Федоров П.П.Popov P.A., Shchelokov A.V., Fedorov P.P.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/59

We propose a mathematical model to fit the temperature-dependent thermal conductivity of M1−xRxF2+x heterovalent solid solutions where M stands for alkaline-earth metals and R for rare-earth metals. These solid solutions experience composition-driven transition from the crystal-like to glass-like behavior of thermal conductivity. When tested on Ca1−xYbxF2+x solid solutions, the model showed a potential for use with an option for further improvements.

Предлагается математическое выражение для описания температурной зависимости теплопроводности гетеровалентных твердых растворов M1-xRxF2+x, где М – щелочноземельные, R -редкоземельные элементы в, демонстрирующих концентрационный переход теплопроводности от кристаллической к стеклоподобной. Апробация на примере твердого раствора Са1-xYbxF2+х показывает перспективность предлагаемой модели с возможностью улучшающих модификаций.

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The authors declare that there are no conflicts of interest present.