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Nuclear Reactions
Miscellaneous Notes

John Denker

1 Basic Concepts and Terminology

Disclaimer: I am not an expert. These are notes I made while trying to figure stuff out. Work in progress.

There are at least 5 cases to consider:

     Prompt    Delayed     
Weapon:    few nanoseconds    n/a     
Fast reactor:    ≈ 100 nanoseconds    13 seconds     
Moderated reactor:    ≈ 100 microseconds    13 seconds     

Delayed neutrons are super-important, because without them the typical(*) reactor would be unmanageable; the reaction rate would be increasing exponentially or decreasing exponentially, much too quickly. Anything that happens on a “prompt” timescale is much quick to be manageable using control rods.

Therefore a reactor is designed to be operated at the point where it is just barely delayed critical. It must be constantly adjusted to keep it there.

In a reactor, increasing the reactivity by 7% makes the thing go prompt critical, which is usually(*) a Bad Thing.

(*) An exception is a TRIGA reactor. It is cleverly designed so that if it goes prompt critical, the moderator very quickly becomes hot enough to be ineffective but not hot enough to cause a meltdown. We say the moderator creates a strongly negative temperature coefficient of reactivity.

The RBMK-1000 at Chernobyl was uncleverly designed. Among its many design faults, it was overmoderated by massive blocks of graphite, so there was nothing to limit the runaway chain reaction until “disassembly” occurred. (That’s a euphemism for “explosion”.) For a list of prompt critical accidents, see reference 1.

A fast-neutron reactor is scarier than a moderated-neutron reactor. That’s because the lack of a moderator makes it harder to create a strongly negative temperature coefficient of reactivity.

2 Other

A normal BWR has a negative void coefficient of reactivity. Because the RBMK-1000 at Chernobyl was overmoderated, it to only a small extent affected by the loss of moderation from the water, but was to a greater extent affected by the loss of absorption. It had a positive void coefficient of reactivity. Terrible design.

What’s worse, it had absorber that could leave (water) and moderator that couldn’t leave (graphite).

Also, the water was the coolant. So a loss of water resulted in loss of cooling as well as increased reactivity.

You could guarantee a negative void coefficient of reactivity by using heavy water. Comparable moderation, less absorption. Loss of coolant would still be a horror show, probably resulting in a meltdown, but probably not a huge explosion.

Xenon poisoning. Before pulling out the control rods to make up for xenon poisoning, ask what will happen when the xenon goes away. If that would take you outside the 7% margin between delayed critical and prompt critical, pulling the rods creates a time bomb. When the xenon goes away, the reactivity will increase, possibly faster than you can respond by re-inserting the control rods.

The xenon burn-out will happen non-uniformly in the enormous loosely-coupled core.

Chain of causation. But so many faults that fixing one of them might not have been sufficient.

190 metric tons of fuel in the RBMK-1000.

Low-enriched uranium. About 2% enrichment.

There are currently 94 nuclear power plants licensed to operate in the United States (63 PWRs and 31 BWRs). They generate about 20nation’s electrical use.

When designing a weapon, a great deal of effort goes into keeping all the fuel together in one place long enough for the reaction to go to completion, more or less, before the thing blows itself apart.

On the other hand, if a reactor has gone prompt critical and is about to blow up, you’d rather have disassembly occur sooner rather than later. It sounds weird to say it, but it’s true: You’d prefer a meltdown rather than an explosion, and you’d prefer a small explosion sooner rather than a humongous explosion later.

Reactor loosely coupled. A small part went prompt supercritical. Neutrons are diffusing into the rest of the core at the speed of sound. A shock moving at supersonic speed is disassembling the core.

Nobody knows exactly what happened, but this scenario fits the facts as I know them, and it’s hard to come up with a better explanation.

3 References

1.
Wikipedia article, “List of accidental prompt critical excursions”
https://en.wikipedia.org/wiki/Prompt_criticality#List_of_accidental_prompt_critical_excursions
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