Schneibster, I know you're not talking to me, but I actually want to thank you for that description.
I will interject that I don't think you're being fair to Kevin, though. You're addressing issues he never stated and misunderstanding what he said. The U234 for example, was brought up by Lonewulf, and Kevin only continued with that example.
Not as far as I could tell, either. Kevin seems to have thought it up all by himself. Furthermore, U-234 is extremely rare, and its concentration is so small even in enriched uranium that unless its activity were so high that its half-life were weeks, it would make no difference to the radioactivity of enriched uranium. And we know its half-life cannot be that short, because it appears in measurable (though extremely small) quantities in natural uranium.
I'm going to try to rephrase Kevin's concern. What Kevin said was that if you have a given amount of material, a long half life will be safer to a short half life. However, if you have enough material to be dangerous, the long half-life means it will continue to be dangerous for a very long time (10 half-lives, I believe is the usual measure). You ridiculed his understanding of half-life. I probably understand less than Kevin, but it makes sense to me.
First, Kevin never said anything about a longer half-life being safer. Second, the nature of the risk when dealing with radioactive materials varies greatly on a number of factors: what type of radiation the material emits, how energetic that radiation is, the specific activity and therefore the half-life, how easily the material is incorporated into biological systems, what it decays into and what the type and energy of
it's radiation is, and
it's biological activity, and most importantly, the concentration of the material. And it was concentration that I was addressing. Lonewulf has been making the same point with his coffee example, and Dr. Buzzo with his bananas example and others.
I hope you'll correct any inaccuracies with what I'm about to say and address any concerns. You've said that natural uranium is not dangerous. First of all, I'm not even sure that's correct, but I have to ask what you mean. It was my understanding that even people who live near natural uranium deposits have a statistically higher incidence of certain cancers and other disorders. But it is a minor problem.
It's not been shown that cancer is increased by this factor in any peer-reviewed medical or scientific study to the best of my knowledge. Anecdotal evidence is worthless; it might be the uranium, or it might be a chemical associated with it, or used to mine it, and it might be a chemical problem not a radiation problem. As far as "other disorders," I'm not sure what "other disorders" you think you can get from radiation; there's radiation burns, and there's cancer, and as far as I know, that's about it. You'd have to do something incredibly stupid to get radiation burns from natural uranium.
Spent fuel rods have a lot more uranium than natural uranium deposits.
Excuse me? Uranium has more uranium in it than uranium? You perhaps were unfamiliar with the terminology I was using. By "natural uranium," I didn't mean ore; I meant refined uranium, either as the dioxide or the metal, but unenriched from its primordial (natural) isotope proportions. Such uranium is unusable in all but the most primitive reactors, because it is 99.3% U-238, which will not fission (except with an extremely low probability- not within many orders of magnitude of enough to support a nuclear chain reaction). For civilian use, the U-235, which is only 0.7% of natural uranium, must be enriched to about 5%; for military use, it is generally enriched to over 90%. That is what is used in military reactors (which are almost exclusively for ships and submarines) and in nuclear weapons.
When I spoke of the relative inertness of "natural uranium," I meant the refined metal or the dioxide. It isn't even powerful enough for the radiation to penetrate your skin. And even military-grade uranium, enriched to over 90% U-235, isn't. U-235 has a half life of over 700 million years, so even it has a very low specific activity, about six times that of U-238; six times almost nothing is still almost nothing.
And as I showed, spent fuel rods from a civilian reactor contain over 90% U-238 in any case; they have to. They started out containing 95% U-238, and nothing happened in the reactor to change that by more than a few percent. They are, therefore, little different by composition from natural uranium; and natural uranium is fairly safe to handle. On the other hand, they do contain some pretty nasty radioisotopes, so they need to "cool off" for a while until those short-lived isotopes have decayed. As I stated, most of them are gone within a few decades, and once they are, there's little left but U-238, which is what we started with, and which remains relatively safe.
So even before fissioning in a reactor, they would be more dangerous than living near naturally occurring uranium deposits. In other words, even just the U238 would be more concentrated and more dangerous in spent fuel than in a similar amount of naturally occurring uranium ore. Correct? I assume this is what you meant by natural uranium?
Not really; please read the above.
Next, because fuel rods are enriched (not in Canada, which contributes to my lack of understanding), there is a much higher proportion of the U235 and U234 in them, both of which are more dangerous because they have a faster decay rate. U235, for example, has a very long half-life at 70,400,000,000, but that's still 63 times more active than U238.
That would be 704 million years in the real world, which would be six times almost nothing, remaining almost nothing.
And U234 is almost 20 million times more active than U238.
That would be 18,000 times in the real world; the half-life of U-234 is 245,000 years. Furthermore, with a concentration in natural uranium of 0.0054%, there is so little of it, and the specific activity of U-238 is so low that even at 18,000 times the activity, it makes essentially no contribution to the radiation of natural uranium.
Concentrating U235 from 0.7% to 5% (and in the process increasing the U234 as well) again elevates the danger above both naturally occurring uranium, and even above concentrated uranium in naturally-occurring proportions. Even after half or more of the U235 fissions, there is still more than in naturally occurring concentrations.
"More" as in, enough to be dangerously radioactive? No, not really. Not to mention you seem to keep dropping and adding zeros; first it was 70 million instead of 700 million, and then it was 20 million instead of 20 thousand.
This is what I mean about hysteria; there's this urge to inflate all the numbers. Funny how both your errors inflated how dangerous it all is.
More importantly, after undergoing fission in a reactor, there are fission products that are much more active.
And which therefore have much shorter half-lives.
Just looking at the decay chain (which I certainly don't know off the top of my head), I see U235 decaying to Th231, with a half-life just over a day,
In the real world, U-235 decays to Th-231 with a half-life of 704 million years, as we discussed above. Th-231 does indeed have a half-life of just over a day, but it is a beta emitter. Beta particles are electrons. Just electrons. That means that in any sample of uranium, the amount of thorium-231 is the ratio of 704 million years to one day; an amount so small it's not chemically detectable. We only know it's there because of the specific energy of the beta particles it gives off, and because we deduce it from the fact that uranium gives off alpha particles.
and then to Pa231 with a half-life of 32760 years. So I assume that after some weeks or months of "cooling", the majority of activated decay pauses for a while at this stage.
You assume incorrectly. The ratios of radioisotopes in a sample are, at
maximum, the ratios of their half-lives, and that doesn't actually start to be true until the passage of one or more half-lives of the longest-lived isotope in the chain. And we haven't been refining uranium for 700 million years yet. With a ratio on the close order of 150,000 to one, the amount of protactinium in any uranium sample is on the close order of 0.004%, at maximum; in any sample younger than that, it will be smaller, and in a sample only decades old, there will be essentially no protactinium in any uranium sample, from either the standpoint of the radiation it produces, or the standpoint of chemical analysis.
Yes, 32760 years is long, but it is a lot shorter than U238, with a half-life of 4,468,000,000,000 or its grandparent U235, with a half-life of 70,400,000,000. So fissioning makes that 3% of the fuel rod 2 million times more active than enriched uranium, which is already more dangerous than concentrated uranium, which is already more dangerous than naturally occurring uranium, which you'd rather not live around if you can avoid it.
You have so completely misunderstood what's going on that I can only wait until you correct your errors and tell you to try again. The production of daughter isotopes in radioactivity has nothing to do with the production of fission products. The production of daughter isotopes in a uranium sample happens so slowly that even after many human lifetimes, a sample of purified uranium is still purified uranium, only a few hundreds of thousandths of a percent less pure.
The danger in a spent fuel rod is from fission products, and as the name implies, fission products aren't a few atomic numbers from their parent, they are instead halfway down the periodic table, fifty atomic numbers different or thereabouts. Fissioning uranium-235 generally splits about 60/40, so on average, you see two sets of products, one around atomic number 53 and one around atomic number 39. Most radioisotopes of elements in these ranges are extremely active, with half-lives ranging from microseconds to a few years. It is these isotopes that make spent nuclear fuel dangerous; but the fact that the half-lives are so short for these isotopes means that almost all of them is gone in a few decades at most. A very few somewhat longer-lived isotopes (half lives in the decades or centuries) remain problematic, but their concentrations are already so low (at least in civilian grade fuel) that they don't pose much of a threat.
The above paragraph by you is filled with incorrect numbers, exaggerated in your favor by up to three orders of magnitude; complete misunderstanding of the difference between fission and radioactive decay; and finally with a figure that plain ignores concentration as a measure of activity. You are also, however, incorrect about one point that is in your favor; you do at least understand more than Kevin does, and although your calculations are incorrect, they're at least an attempt at the right way to go about this; three orders of magnitude isn't bad for a first attempt, and at least you got the mantissas approximately right.
So having tons of this stuff can't be good in your backyard. And at this point the long half-life doesn't really help. It just means that you have to take care of it for a very long time. You have to keep track of it and you have to make sure it isn't getting in the water and food.
And here, you've drawn an incorrect final conclusion from your incorrect reasoning. Overall, the long half-life helps a great deal, and the fact that the initial concentration of materials with short half-lives (and therefore high activities) is already small helps even more.
Then you get the daughters of this decay. You ridiculed Kevin for talking about decay products, but I'm not sure why.
Because he made the same mistake you're about to.
In a National Geographic article, there was this interesting tidbit:
Which completely ignores the fact that what they're talking about is military nuclear waste, not civilian nuclear waste, with the difference in concentration of several orders of magnitude that implies. Furthermore, it also contains no reference to the DOE calculations so that they can be checked; I have no idea what the author is talking about when he claims that the DOE says that "the peak radiation dose to the environment will occur after 400,000 years." First, it's not clear whether they are talking about waste from plutonium manufacturing or from reactors; second, it's not clear what isotopes are involved; and third, no matter all of the above, it IS clear that they're talking about military waste, not civilian waste.
So you've got stuff that will peak in its radiation after 400,000 years and you need to babysit it until the radiation subsides. 400,000 years ago was before the Neanderthals, and that's when it will peak in terms of harm. You need to babysit it a lot longer than that.
And again, that's military waste, and it's not even clear it's from a reactor and not plutonium production for the manufacture of nuclear weapons.
I may be missing something,
I will restrain myself; I would say you've missed a LOT.
but in my cursory understanding, I think you're wrong. It's a lot more radioactive than natural uranium, and for a lot longer than thirty years.
I think you've got a lot more research to do before you're prepared to say anything of the kind, and if you do that research, I'm pretty certain that what you'll find is what I've already told you.