Growth of Daughter Activities

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Presentation transcript:

Growth of Daughter Activities

Parent to next generation(s) Consider the decay of a parent nuclide to succeeding nuclide generations, e.g., (12 3 4…) Assume that N1(0) = N0; N2(0) = N3(0) = N4(0) =0… Then the differential equations describing the rate of change of a given generation are -

Parent to next generation(s) Consider special cases: 2 = 0  Nuclide 2 is stable!

Parent to next generation(s) Consider special cases: 1  0 ; 1 << 2 ; 1 << 3 ; 1 << 4 …

Parent to next generation(s) Consider special cases: 1 << 2 As t becomes large … Secular equilibrium

Parent to next generation(s) Consider special cases: 1 < 2 Transient equilibrium

Parent to next generation(s) Consider special cases: 1 > 2 Decays fast!

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