In this work, differential scanning calorimetric (DSC) analyses were performed in an Ar inert medium in the temperature range of 100–750 K for the Y2O3 compound with the purity rate of 99.99%, the density in powder form is 0.069 g/cm3, the specific surface area is 100–150 m2/g, the particle size is in the range of 8–10 nm irradiated with fast neutrons with different intensities (E<1 MeV). Using mathematical approximation methods, the equations of dependence of the heat flux function on temperature and heat capacity after irradiation at different intensities for the Y2O3 compound over a wide temperature range were determined. It was found that in the temperature range of 150≤T≤750 K, the value of the heat flux increases by 16.6%, up to 86 mW for the case of maximum radiation. At all radiation intensities, anomalies recorded with very small changes were observed in the spectra of the heat flux function related to the internal structural transitions.