According to www.nsta.org and www.einstein-online.info, the answer to your question is yes, the Einstein equation E = mc² applies to both nuclear fusion and nuclear fission, because in each case, a small amount of mass is converted into a large amount of energy. The equation states that mass and energy are interchangeable; a loss of mass (Δm) in a reaction corresponds to an energy release of ΔE = Δm × c². In both fusion and fission, the total mass of the products is slightly less than the mass of the reactants. This “missing” mass is released as energy.
In Nuclear Fusion
Hydrogen nuclei fuse to form helium in the Sun. The helium nucleus has less mass per nucleon than the original hydrogen nuclei. The mass difference is released as energy — this is the source of the Sun’s light and heat.
In Nuclear Fission
Uranium‑235 splits into smaller nuclei (like barium and krypton) plus neutrons. The combined mass of the fission fragments is less than the original uranium nucleus. The mass difference, multiplied by c², gives the energy released in reactors or bombs.
The Key Difference Between the Two
Fusion: Energy comes from moving up the binding energy curve — light nuclei gain binding energy when they merge.
Fission: Energy comes from moving down the binding energy curve — heavy nuclei release binding energy when they split.
In both cases, the change in binding energy shows up as a change in mass, and E = mc² tells us exactly how much energy that mass change represents.
Here, E=mc2=γm0c2. In the mass-energy equivalence, m0 is the only mass, but m=γm0 is a value which is used to multiply by c2 to show the total energy (E) for the radiating mass (m0).