Temperature dependent elastic coefficients of Mg2X (X = Si, Ge, Sn, Pb) compounds from first-principles calculations

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Abstract

Influence of temperature on the elastic properties of Mg2X (X = Si, Ge, Sn, and Pb) compounds, has been studied using first-principles calculations, within the generalized gradient approximation, and compared with the available experimental data in the literature. Elastic stiffness coefficients calculated with respect to volume (cij(V)) have been correlated to the equilibrium volume as a function of temperature V(T) from phonon calculations to obtain temperature dependence of elastic stiffness coefficients cij(T). A good agreement between the thus predicted elastic constants and experimental data has been achieved. The general trend in the bulk modulus (B), shear modulus (G) and Young's modulus (E) seen for the compounds is Mg2Ge > Mg2Si > Mg2Sn > Mg2Pb. Elastic anisotropy, fracture toughness and stiffness of the compounds have been analyzed as a function of temperature based on their anisotropic ratio (2c44/(c11-c12)), product of bulk modulus and volume (B × V1/3), and Young's modulus. The results obtained herein provide a better understanding of the elastic behavior of antifluorite compounds as a function of temperature. The methodology used in this work acts as a benchmark for future first-principles work that involves calculating elastic constants as a function of temperature.

Original languageEnglish (US)
Pages (from-to)191-198
Number of pages8
JournalJournal of Alloys and Compounds
Volume498
Issue number2
DOIs
StatePublished - May 28 2010

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Metals and Alloys
  • Materials Chemistry

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