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
Famous quotes containing the words activity, transient and/or equilibrium:
“With two sons born eighteen months apart, I operated mainly on automatic pilot through the ceaseless activity of their early childhood. I remember opening the refrigerator late one night and finding a roll of aluminum foil next to a pair of small red tennies. Certain that I was responsible for the refrigerated shoes, I quickly closed the door and ran upstairs to make sure I had put the babies in their cribs instead of the linen closet.”
—Mary Kay Blakely (20th century)
“For the most part we allow only outlying and transient circumstances to make our occasions. They are, in fact, the cause of our distraction.”
—Henry David Thoreau (1817–1862)
“They who feel cannot keep their minds in the equilibrium of a pair of scales: fear and hope have no equiponderant weights.”
—Horace Walpole (1717–1797)