Correlation between emissivity and heat capacity of period 4$d$-metals

The relationship between total normal emissivity $(\varepsilon_{tn})$ and specific heat capacity $(C_p)$ of Period 4 metals has been investigated across a temperature range encompassing a first-order phase transition (melting). A correlation analysis of these parameters was performed at homologous temperatures of 0.9$\Omega$ $T_{melt}$ and 1.1$\Omega$ $T_{melt}$. A strong correlation ($R^2 >$ 0.97) was established between the surface and bulk properties of the metals both below and above the melting point. However, the relative jumps in $\varepsilon_{tn}$ and $C_p$ at the melting point do not correlate, indicating distinct physical natures for these quantities. The presented results highlight the role of electronic structure and electron-phonon interaction in shaping the thermal properties of materials during phase transitions.