Calculation of Temperature-Dependent Thermal Expansion Coefficient of Metal Crystals Based on Anharmonic Correlated Debye Model

Tong Sy Tien; Nguyen Thi Minh Thuy; Vu Thi Kim Lien; Nguyen Thi Ngoc Anh; Do Ngọc Bich; Le Quang Thanh

doi:10.46604/aiti.2023.10034

Authors

Tong Sy Tien Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam http://orcid.org/0000-0002-7849-4456
Nguyen Thi Minh Thuy Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam
Vu Thi Kim Lien Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam
Nguyen Thi Ngoc Anh Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam
Do Ngọc Bich Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam
Le Quang Thanh Department of Basic Sciences, University of Fire Prevention and Fighting, Hanoi, Vietnam

DOI:

https://doi.org/10.46604/aiti.2023.10034

Keywords:

thermal expansion coefficient, metal crystals, anharmonic correlated Debye model

Abstract

This study aims to calculate the anharmonic thermal expansion (TE) coefficient of metal crystals in the temperature dependence. The calculation model is derived from the anharmonic correlated Debye (ACD) model that is developed using the many-body perturbation approach and correlated Debye model based on the anharmonic effective potential. This potential has taken into account the influence on the absorbing and backscattering atoms of all their nearest neighbors in the crystal lattice. The numerical results for the crystalline zinc (Zn) and crystalline copper (Cu) are in agreement with those obtained by the other theoretical model and experiments at several temperatures. The analytical results show that the ACD model is useful and efficient in analyzing the TE of coefficient of metal crystals.

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