Analysis of the anharmonic thermal expansion coefficient of crystalline silver

  • Tien Tong Sy Faculty of Fundamental Sciences, University of Fire Prevention & Fighting
  • Thuy Nguyen Thi Minh Faculty of Fundamental Sciences, University of Fire Prevention & Fighting
  • Chinh Nguyen Thi Viet Institute of Science and Technology, TNU-University of Sciences
  • Toan Nguyen Cong Department of Physics, VNU University of Science
  • Trung Nguyen Bao Department of Physics, VNU University of Science
  • Nghia Nguyen Van Faculty of Energy, Thuyloi University
Keywords: Anharmonic thermal expansion coefficient; Crystalline silver; Anharmonic correlated Debye model.

Abstract

The anharmonic thermal expansion (TE) coefficient of crystalline silver (Ag) has been calculated and analyzed in the temperature-dependent. Based on the anharmonic effective potential, the calculation model is developed using the correlated Debye model and the many-body perturbation approach. Thermodynamic parameters of the crystal lattice are derived from the influence of thermal vibrations of all atoms. The anharmonicity results from phonon-phonon interactions, with each thermal vibration can be quantized and treated as a phonon. The obtained expression of the anharmonic TE coefficient of Ag can satisfy all their temperature-dependent fundamental properties. The numerical results of Ag agree well with those obtained from the other theoretical models and experimental data at various temperatures in the range from 0 K to 1000 K. The obtained results indicate the effectiveness of the present model in investigating the TE coefficient of Ag.

điểm /   đánh giá
Published
2023-08-25
Issue
Vol. 89 (2023)
Section
Overview