In that case, try this -
http://energyfromthorium.com/2006/07/14/new-visualization-tool-for-decay-chains/
and launch the java app.
The radionuclides on the bottom of the band, near they grey dots, and half-lives on the order of seconds. They decay away in minutes. Those radionuclides with half-lives on the order of minutes decay away in hours.
Some with half-lives of years are persistent.
One could plot several different decaying exponentials individually and as a group -
exp(-t), exp(-0.1t), exp(-0.01t) and exp(-0.001t)
The activity of a radionuclide is given by λN
o exp(-λt), and N
o, the initial amount corresponding to some reference time, is dependent on the fission yield. When a reactor is operating at constant power many fission products reach an equilibrium concentration because the loss rate (decay + transmutation) balances the production rate.
At shutdown, some isotopes actually increase in concentration, e.g., Xe-135, because it is a decay product (from I-135), but it is no longer transmuted since the neutron flux drops dramatically. Similar behavior occurs when there is a power reduction, but it's not so dramatic, since the neutron flux doesn't drop off so much.