In this study, we examined the electronic states in a hemispherical quantum dot, taking into account the presence of a donor impurity, the effect of temperature, and geometric parameters. The system’s Hamiltonian was solved using the effective mass approximation within the finite element method framework. We analyzed the energy spectrum of electronic states and their wave functions, considering the geometric parameters and the donor impurity of a hemispherical quantum dot. The results showed that the presence of the impurity significantly alters the electronic energy levels and the thermal properties of the system, which was corroborated by the observed variations in the heat capacity. This study provides valuable information on the thermodynamic properties of quantum systems with impurity, which could have important implications in various research and technology domains.