Elastic Properties of C-Type Lanthanide Sesquioxides

  • Pooja Yadav Department of Physics, Agra College, Agra, India
  • Dheerendra Singh Yadav Department of Physics, Ch. Charan Singh P G College Heonra (Saifai) Etawah, India https://orcid.org/0000-0001-8315-9743
  • Dharmvir Singh Department of Physics, Agra College, Agra, India
  • Pravesh Singh Department of Electronics and Communication Engineering, KIET Groups of Institutions, Ghaziabad, India
  • Ajay Singh Verma Division of Research & Innovation, School of Applied and Life Sciences, Uttaranchal University, Uttarakhand, Dehradun, India; University Centre for Research & Development, Department of Physics, Chandigarh University, Mohali, Punjab India https://orcid.org/0000-0001-8223-7658
DOI: https://doi.org/10.26565/2312-4334-2024-4-22
Keywords: Elastic properties, Plasmon energy, Ln2O3

Abstract

In this study, we have presented the solid-state theory of plasma oscillations to investigate the anisotropic elastic properties such as three independent static elastic stiffness constants (Cij: C11, C12 & C44) of C-type Ln2O3 lanthanide solids. The calculated values of the static elastic stiffness constants of Ln2O3 are in excellent agreement with the theoretical results obtained by using ab-initio techniques. The values of elastic stiffness constants (Cij) exhibit a linear relationship when plotted against their plasma energies and lie on a straight line. To further examine the validity of the present estimations on elastic moduli and other parameters of these materials. The mechanical moduli such as bulk modulus (B), shear modulus (G), Young modulus (E), Poisson’s ratio (ν), shear wave constant (Cs), Cauchy pressure (C*), Lame’s coefficient (λ and µ), Kleinman parameter (ξ) Grunesien parameter (γ), Zener anisotropic constant (Z) and Pugh ratio (G/B) of lanthanide solids have also been investigated. For the lanthanide sesquioxide materials, the values of static elastic stiffness constants Cij and elastic moduli were presented for the first time. Unfortunately, in the current study, for many parameters of these materials, experimental results were not found for a comparison with our theoretical predictions. Our estimations agree well with the available experimental data and other theoretical reports.

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Published
2024-12-08
Cited
How to Cite
Yadav, P., Yadav, D. S., Singh, D., Singh, P., & Verma, A. S. (2024). Elastic Properties of C-Type Lanthanide Sesquioxides. East European Journal of Physics, (4), 227-233. https://doi.org/10.26565/2312-4334-2024-4-22
Issue
No. 4 (2024): East European Journal of Physics
Section
Original Papers

Copyright (c) 2024 Pooja Yadav, Dheerendra Singh Yadav, Dharmvir Singh, Pravesh Singh, Ajay Singh Verma

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