Open Access
Dr. Purushotham Endla
Endla AkhilBalaji
- Associate Professor Department of Physics,School of Sciences, SR University Telangana India
- Student Computer Science and Engineering, Kakatiya Institute of Technology and Science Telangana India
Abstract
In this study, we have investigated the anisotropic behavior of Debye-Waller factors (DWFs) and Debye temperatures (DTs) in three distinct materials: hexagonal rhenium (Re), osmium (Os), and thallium (Tl). We conducted a comparative analysis, aligning our experimental data on directional Debye temperatures with theoretical calculations. This exercise provided valuable insights into the concurrence between practical and theoretical approaches, thereby offering a critical evaluation of the accuracy and reliability of theoretical predictions. For hexagonal close-packed (hcp) structures, deviations from the ideal c/a ratio of 1.633 reveal the nuanced interplay of forces along the hexagonal axis. In hcp metals, including our subjects, two principal DWFs, Ba and Bc, correspond to the ‘a’ and ‘c’ crystallographic directions. The relationship between these factors and atomic amplitudes offers profound insights into interatomic bonding, with the Bc/Ba ratio typically exceeding 1 for c/a ratios straying from the ideal 1.633 value. This study advances our understanding of anisotropic properties in hcp metals, sheds light on the structural nuances of the materials examined, and contributes significantly to crystallography, materials science, and solid-state physics.
Keywords: X-ray diffraction, Debye temperature, hcp element vacancy formation energy
[This article belongs to Special Issue under section in Journal of Polymer and Composites(jopc)]
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Journal of Polymer and Composites
| Volume | 11 |
| Special Issue | 12 |
| Received | October 30, 2023 |
| Accepted | December 20, 2023 |
| Published | January 15, 2024 |