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.