To determine the type of bandgap Fe2O3 (hematite) has based on the linear fit in the Tauc plot, you need to analyze the slope of the plot. If the Tauc plot is linear for the direct bandgap region, then Fe2O3 has a direct bandgap. Similarly, if the Tauc plot is linear for the indirect bandgap region, then Fe2O3 has an indirect bandgap.
In your case, if you are getting a good linear fit for both the direct and indirect bandgap regions with a bandgap value of 1.55 eV, it suggests that Fe2O3 may have both direct and indirect transitions occurring within the material. This can happen if there is a significant contribution from both types of transitions due to the complex electronic structure of Fe2O3. This scenario is possible, and the observed bandgap value of 1.55 eV could be an average of both direct and indirect transitions.
It's important to note that the Tauc plot method provides an approximation, and the obtained bandgap value may vary depending on factors such as sample quality and experimental conditions. To gain a more comprehensive understanding of Fe2O3's band structure, additional characterization techniques such as photoluminescence, Raman spectroscopy, and theoretical calculations can be employed.