Determination of accurate theoretical values for thermodynamic properties in bulk metallic glasses

Deviation values of specific heat difference \( \Updelta C_{\rm p},\) the Gibbs free energy difference \( \Updelta G , \) enthalpy difference \( \Updelta H , \) and entropy difference \( \Updelta S \) between the supercooled liquid and corresponding crystalline phase produced by the linear, hyperbolic, and Dubey’s expressions of \( \Updelta C_{\rm p}\) and the corresponding experimental values are determined for sixteen bulk metallic glasses (BMGs) from the glass transition temperature \( T_{\text{g}} \) to the melting temperature \( T_{\text{m}}. \) The calculated values produced by the hyperbolic expression for \(\Updelta C_{\rm p}\) most closely approximate experimental values, indicating that the hyperbolic \(\Updelta C_{\rm p}\) expression can be considered universally applicable, compared to linear and Dubey’s expressions for \( \Updelta C_{\rm p},\) which are accurate only within a limited range of conditions. For instance, Dubey’s \(\Updelta C_{\rm p}\) expression provides a good approximation of actual experimental values within certain conditions (i.e., \( \xi = \Updelta C_{\rm p}^{\rm g}/\Updelta C_{\rm p}^{\rm m}< 2 , \) where \(\Updelta C_{\rm p}^{\rm g}\) and \(\Updelta C_{\rm p}^{\rm m}\) represent the specific heat difference at temperatures \( T_{\text{g}} \) and \( T_{\text{m}} , \) respectively).