Reactor Neutrons: Seeing Surface Area not Projected Cross Section?

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Discussion Overview

The discussion revolves around the nature of neutron interactions with atomic nuclei in a reactor context, specifically whether neutrons perceive the surface area of nuclei rather than the projected cross section. The conversation touches on theoretical aspects, quantum mechanics, and the implications of neutron energy levels.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question the assertion that neutrons see the surface area of nuclei instead of the projected cross section, finding it counterintuitive.
  • One participant references thermal neutron capture cross sections for boron isotopes, noting a significant difference that does not align with a simple geometric ratio.
  • Another participant clarifies that the professor's statement may only apply to scattering cross sections and suggests a dependence on surface area, possibly linked to quantum mechanical phenomena.
  • It is noted that the perception of surface area versus projected cross section may depend on the energy of the neutron, with distinctions made between high energy and thermal energy ranges.
  • One participant proposes that slow neutrons may interact with the entire surface due to their spherically symmetric state (L=0) with respect to the nucleus.
  • Concerns are raised about the factors influencing the size of the cross section beyond just the effective area encountered by neutrons.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of neutron interactions, with no consensus reached on whether neutrons see surface area or projected cross section. The discussion remains unresolved regarding the implications of neutron energy on these interactions.

Contextual Notes

Participants reference specific neutron cross section data and suggest that the relationship between cross sections and nuclear surface area is complex and not fully understood. There are indications of unresolved mathematical or conceptual steps in the discussion.

nuclear420
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My professor told me that the neutrons in a reactor see the surface area of nuclei, and not the the projected cross section. That really doesn't make intuitive sense. Is he right?
 
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See the plot of the thermal neutron capture cross sections for boron-10 and boron-11 in the section on enriched boron in
http://en.wikipedia.org/wiki/Boron
The cross section is ~1,000,000 times higher for boron-10 than for boron-10. This not the projected geometric ratio.

Bob S
 
Talked to my professor again, he said that it is only true for scattering cross sections. If you look at the math, you will notice it is dependent upon the surface area. I'm guessing its some sort of quantumn mechanical phenomena?
 
Anyone?
 
nuclear420 said:
My professor told me that the neutrons in a reactor see the surface area of nuclei, and not the the projected cross section. That really doesn't make intuitive sense. Is he right?
That really depends on the energy of the neutron. For high energy (MeV range) neutrons, e.g., those emitted during fission, the one considers 'potential scattering'. At much lower (thermal) energies, < 1 eV, and particularly in the 0.025 eV range, then the cross-section is more or less determined by the nature of the particular nucleus encountered. That's were QM play becomes dominant. In between though (1 eV-10 keV range), QM is a factor in resonance scattering/absorption.

http://www.nndc.bnl.gov/sigma/index.jsp

http://www.nndc.bnl.gov/sigma/getPlot.jsp?evalid=4551&mf=3&mt=1&nsub=10
 
nuclear420 said:
My professor told me that the neutrons in a reactor see the surface area of nuclei, and not the the projected cross section. That really doesn't make intuitive sense. Is he right?
\
I don't think he was talking about the size of the cross section, which depends on details other than the effective area. Possibly what he meant was that the slow neutrons are in an L=0 (spherically symmetric) state with respect to the nucleus so they interact at the entire surface.
 
clem said:
\
I don't think he was talking about the size of the cross section, which depends on details other than the effective area. Possibly what he meant was that the slow neutrons are in an L=0 (spherically symmetric) state with respect to the nucleus so they interact at the entire surface.
Clem-
Please look up the (n.total) cross sections on boron (Z = 5) in

http://www.nndc.bnl.gov/sigma/index.jsp

and tell me why the cross sections for boron-10 and boron-11 (click on PLOT) are so different. How does the boron-10 thermal neutron x-section (over 10,000 barns) relate to the nuclear surface area?

Bob S
 
The size of the cross section depends on other things than the area an incident neutron encounters.
 

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