Temperature derivatives of the bulk modulus of ZrB₂ calculated by using the pressure derivative of the bulk modulus

Abstract

The temperature dependence of the bulk modulus of ZrB₂ above room temperature was calculated by using the equations by Garai and Laugier (J. Appl. Phys. 101 (2007) p.023514) and Lawson and Ledbetter (Philos Mag. 91 (2011) p.1425). The present calculations involve the accurate data for pressure derivative of the bulk modulus for the Anderson–Grüneisen parameter in addition to the other experimental parameters involved. It is interesting to note that the cited equations derived by different thermodynamic approaches give almost equivalent values for the temperature dependencies of the bulk modulus of ZrB₂. The present results for the temperature derivatives of the bulk modulus of ZrB₂ vary from −0.016 GPa/K at 300–400 K to −0.022 GPa/K at 1500–1600 K, being in good agreements with the corresponding experimental values.

Keywords:

• intermetallics
• diborides
• mechanical properties
• bulk modulus
• thermal properties

Acknowledgements

The author thanks to B. Yüksel and B. Olgun for computer help.