A new correlation for the specific heat of metals, metal oxides and metal fluorides as a function of temperature

The objective of this work is to find a suitable correlation that best fits the specific heat of metals, metal oxides and metal fluorides as a function of temperature. It was found that a multilinear regression model of the form Cp = aT^be^cTe^d/T has the lowest deviation from experimental data compared to other correlations including a 4^th to 6^th-order polynomial regression model. The coefficient of determination, R², was very close to unity in most cases and the average of the absolute relative errors, AARE, was less than 5% for the specific heat of most of the systems studied. The overall AARE was about 1.8% for metals and 3% for metal oxides and metal fluorides, which is within the experimental error.