Nuclear power primarily relies on fission, where heavy atoms like uranium and plutonium are split to release energy, following Einstein's equation E=mc². The discussion highlights that atoms heavier than lead yield energy through fission due to their excess mass, while lighter atoms require more energy to break apart than they produce. Fusion, the process of combining lighter atoms, is seen as a more desirable method for energy generation, as it can potentially produce more energy than consumed. The efficiency of nuclear power plants is questioned, particularly regarding the balance between input and output energy. Overall, harnessing atomic energy through fusion presents a more favorable energy solution compared to fission.