Long half-life ≠ dangerous

Nuclear waste is often quoted as having a “half-life of millions of years” as if this is a bad thing in and of itself.* But there’s another way of looking at it.

Radio­active decay occurs when an unstable atom emits either a helium nucleus, a high-speed electron, an elec­tro­mag­netic wave called a gamma ray or more rarely one of a number of other pos­sib­il­ities. Being in the way of these emitted particles and waves is gen­er­ally con­sidered to be a Very Bad Idea.

Radio­active decay occurs at random, with each atom having a chance of decaying at any given moment. The more likely it is that atoms decay, the quicker they decay, and the shorter their half-life.

Imagine the radio­active atoms are ammuni­tion cart­ridges; when they decay the cart­ridge “goes off” and a bullet is released. Now imagine you’re standing next to two piles of cart­ridges rep­res­enting some nuclear waste: one pile with a short half-life and one pile with a long half-life

The bullets in the short half-life pile will go off over a short period of time, and the bullets in the long half-life pile will go off over a longer period of time. Which pile would be safer to stand next to?

Caesium-135 and caesium-137 are both common isotopes found in nuclear waste: Cs-135 is formed when xenon-135 produced as a fission fragment decays by beta emission; and Cs-137 is formed as a fission fragment itself (a uranium nucleus splits to form one caesium-137 and one rubidium-98 nucleus).

Cs-135 has a half-life of 2.3 million years and emits beta particles with an energy of 267 keV. Cs-137 has a half-life of 30 years and emits beta particles with an energy of 605000 keV. On a graph of 100 years the change in caesium-135 is invis­ible; only at a scale of a million years does the change become visible:

If you stood next to a million atoms of Cs-137 for a year 22840 atoms would decay, for a total energy release of 2.2 nan­o­joules. Standing next to a million atoms of Cs-135 for a year less than one atom (0.301) would decay and the total energy released would be 13 femtojoules, less than 150 thou­sandth of the energy released by the caesium-137.

So you have a tradeoff: caesium-135 is less dan­gerous than caesium-137 but becomes less dan­gerous more quickly. Both Cs-135 and Cs-137 decay to form stable (non-radioactive) barium so if you can turn a profit selling barium then you’re better off buying a truck­load of Cs-135; you’ll be able to sell it as barium sooner.

* It’s worth bearing in mind that nuclear waste even­tu­ally becomes safe. Chemical waste from the pro­duc­tion of solar cells like silicon tet­ra­flu­oride and cadmium tel­luride remain toxic forever.

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3 Responses to Long half-life ≠ dangerous

  1. Will Dean says:

    After reading this article and your nuclear power present­a­tion, I’d like to know how the chemical waste “will remain toxic forever”? Surely there are ways of recyc­ling the silicon tet­ra­flouride (see http://www.freepatentsonline.com/4655827.pdf), the cadmium tel­luride, and the other chem­icals involved or at least returning them to a less harmful state before dumping it back into the ground. I under­stand that at the moment nuclear power seems like the best, however photo­vol­taic cells still much more portable and for that reason there will still be a market for them in years, even with their rel­at­ively poor effi­ciency, although the tech­no­logy may not be used in power stations.

  2. Mr Reid says:

    There are ways of “recyc­ling” tet­ra­flu­oride, abso­lutely. Unfor­tu­nately, it’s a pretty expensive process and there’s very little impetus to actually do it.

    PV is more portable, but that doesn’t make it more useful. Coal, oil, gas and hydro­elec­tric aren’t portable and we’ve managed with those for a long time. And “rel­at­ively” poor effi­ciency is a bit of an under­state­ment: 10% is about average.

  3. Pingback: Technetium-99m generators | MrReid.org

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