Why does low energy neutrons favor U235 fission?

In summary, lower energy neutrons favor Uranium fission while higher energy neutrons are easily absorbed by U238. This is due to the pairing force and the fact that the cross section for neutron reaction decreases with higher energy. U235 can be fissioned by low energy neutrons due to its lower binding energy, while U238 requires higher energy neutrons to overcome its activation energy. This information can be found in the fission chapter of Krane's textbook.
  • #1
yiuscott
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My textbook said that only lower energy neutrons (around 1ev) favor Uranium fission while higher energy neutrons don't. Is there an explanation for this. ( i don't think we are required to know it for the course but I'm just interested...)

Thanks.
 
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  • #2
I was just looking around on wikipedia and found out that it says that high energy neutrons are easily absorbed by U238. I am guessing the reason that they put the low energy neutrons is to stop the neutrons from being absorbed by the U238... Is this a correct guess? if so why do high energy neutrons get absorbed by the U238 easily while the lower energy neutrons don't?
 
  • #3
Well the first reason is the pairing force, U238 is a double even nuclei and hence a little bit more bound than U235, and therefore need to get higher energy to pass the activation energy. So U235 can be fissioned by low E neutrons, while U238 don't - it needs more energetically neutrons.

The second reason is that the cross section to react with a neutron generally decreases as a function of its velocity/energy (general for all atomic nuclei, of course - there also exists peaks in that cross section - so called resonant peaks). And the reason for that general feature of the cross section is that the higher the energy, the less time it passes through\near the nuclei, and the less time to react with it (basically speaking).

See for instance the fission chapter in the textbook by Krane.
 

1. Why are low energy neutrons more likely to cause U235 fission?

Low energy neutrons are more likely to cause U235 fission because they have a higher probability of interacting with the nucleus of the U235 atom. This is because the energy of the neutron is directly related to its velocity, and at low energies, the neutron moves slower and has a higher chance of being captured by the U235 nucleus.

2. How does the size of the U235 nucleus affect its likelihood of fission?

The size of the U235 nucleus plays a crucial role in its likelihood of fission. U235 has a larger nucleus compared to other fissile materials, which means it has a higher probability of capturing a low energy neutron. This increases the chances of inducing fission in the U235 nucleus.

3. Can high energy neutrons also cause U235 fission?

Yes, high energy neutrons can also cause U235 fission. However, the probability of fission decreases as the energy of the neutron increases. This is because at higher energies, the neutron moves faster and has a lower chance of being captured by the U235 nucleus. Therefore, lower energy neutrons are more efficient at inducing fission in U235.

4. How does the fission cross section of U235 change with neutron energy?

The fission cross section of U235 is the measure of the probability of fission occurring when a neutron interacts with the nucleus. This cross section increases with lower energy neutrons and reaches a peak at thermal (low) energies. As the neutron energy increases, the fission cross section decreases, showing that low energy neutrons are more likely to cause fission in U235.

5. What other factors can influence the likelihood of U235 fission?

Apart from neutron energy, the likelihood of U235 fission can also be influenced by the concentration of U235 in the nuclear material, the density of the material, and the presence of other nuclei that can absorb neutrons. Additionally, the shape and size of the material can also affect the probability of fission as it can alter the likelihood of neutron capture by the U235 nucleus.

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