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Conservation of Energy

The total energy in a radioactive decay process remains constant, though it is converted between mass and energy according to Einstein's equation.
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The statement of the theorem

For a decay process transforming initial mass MiM_i into final mass MfM_f and emitting particles with total rest mass memittedm_{emitted}, the total energy EE is conserved. The energy released, QQ, is given by the mass defect Δm=MiMfmemitted\Delta m = M_i - M_f - m_{emitted}: \nQ=(MiMfmemitted)c2=Δmc2Q = (M_i - M_f - m_{emitted}) c^2 = \Delta m c^2