Numerical model of temperature-dependent thermal conductivity in M1-xRxF2+x heterovalent solid solution nanocomposites where M stands for alkaline-earth metals and R for rare-earth metals

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.