Activity in Transient Equilibrium
The activity of the daughter is given by the Bateman equation:
- ,
where and are the activity of the parent and daughter, respectively. and are the half-lives of the parent and daughter, respectively, and BR is the branching ratio.
In transient equilibrium, the Bateman equation cannot be simplified by assuming the daughter's half-life is negligible compared to the parent's half-life. The ratio of daughter-to-parent activity is given by:
- .
Read more about this topic: Transient Equilibrium
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—Ralph Waldo Emerson (1803–1882)