Isotope Effects in Thermal Neutron Scattering

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Isotope Effects in Thermal Neutron Scattering
 
Chris W. Chapman, Andrew Holcomb, Doro Wiarda
Oak Ridge National Laboratory
 
Cross Section Evaluation Working Group Meeting
15-19 November 2021
 
Background
 
AMPX links Thermal Scattering Law (TSL) libraries to isotopes in
the resolved resonance region
TSL eval explicitly names isotope, we only bind TSL data to that isotope
tsl-013_Al_027, tsl-026_Fe_05
Otherwise, assumes all isotopes can apply the TSL eval
tsl-reactor-graphite-10P -> 
12
C-10p-graphite, 
13
C-10p-graphite
U-UO
2 
-> 
233
UO
2
 + 
234
UO
2 
+ 
235
UO
2 
+ …
Zr-ZrH -> 
90
ZrH + 
91
ZrH + 
92
ZrH + …
No guidance is given in the TSL files or the ENDF format if this is
acceptable or advised
This can lead to some issues…
 
Different Scattering Lengths
 
Isotopes of the same element can have significantly different
scattering lengths and, therefore, different bound/free
scattering cross sections
Element-specific bound/free scattering cross section given in
File 7, but not sub-divided into isotopic distribution
User must rely on either description in the ENDF file or
references, which may not provide necessary description
Different from issue in incoherent elastic bound scattering cross
section issue (#13)
 
Different Scattering Lengths – Comparison of Elemental
and Isotopic Free Scattering Cross Sections
 
Examples [1]:
 
 
 
 
 
Up to 50% difference between isotopic & elemental scattering
xs
 
 
Different Scattering Lengths
 
 
Resonances
 
Some isotopes have resonances near (or sometimes IN) the
thermal range
Resonance theory is not currently incorporated into thermal
scattering evaluations
These can have a noticeable effect on the thermal scattering
cross section
 
Resonances
 
Discussion
 
Should information about the isotopic composition be provided
in ENDF TSL files?
Can anything be done regarding low-lying resonances?
Try and match the TSL cross section with the resonance at a specific
cutoff energy (tricky, but doable)?
Implement resonances in thermal scattering (very difficult)?
 
Acknowledgements
 
This work was supported by the Nuclear Criticality Safety
Program, funded and managed by the National Nuclear
Security Administration for the Department of Energy
 
References
 
[1] https://www.ncnr.nist.gov/resources/n-lengths/
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This research discusses isotope effects in thermal neutron scattering, presented at the ORNL Cross Section Evaluation Working Group Meeting in November 2021. The study explores the impact of different isotopes on neutron scattering behavior, shedding light on valuable insights for neutron scattering research applications.

  • Neutron Scattering
  • Isotope Effects
  • ORNL
  • Research
  • Cross Section

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  1. Isotope Effects in Thermal Neutron Scattering Chris W. Chapman, Andrew Holcomb, Doro Wiarda Oak Ridge National Laboratory Cross Section Evaluation Working Group Meeting 15-19 November 2021 ORNL is managed by UT-Battelle, LLC for the US Department of Energy

  2. Background AMPX links Thermal Scattering Law (TSL) libraries to isotopes in the resolved resonance region TSL eval explicitly names isotope, we only bind TSL data to that isotope tsl-013_Al_027, tsl-026_Fe_05 Otherwise, assumes all isotopes can apply the TSL eval tsl-reactor-graphite-10P -> 12C-10p-graphite, 13C-10p-graphite U-UO2 -> 233UO2+ 234UO2 + 235UO2 + Zr-ZrH -> 90ZrH + 91ZrH + 92ZrH + No guidance is given in the TSL files or the ENDF format if this is acceptable or advised This can lead to some issues Isotope Effects in Thermal Neutron Scattering 2 2

  3. Different Scattering Lengths Isotopes of the same element can have significantly different scattering lengths and, therefore, different bound/free scattering cross sections Element-specific bound/free scattering cross section given in File 7, but not sub-divided into isotopic distribution User must rely on either description in the ENDF file or references, which may not provide necessary description Different from issue in incoherent elastic bound scattering cross section issue (#13) Isotope Effects in Thermal Neutron Scattering 3 3

  4. Different Scattering Lengths Comparison of Elemental and Isotopic Free Scattering Cross Sections Examples [1]: Isotope/ Material Weight pct. 51.45 11.32 17.19 17.28 2.76 Free Scattering xs [b] 4.99 9.49 6.75 8.22 3.72 6.32 6.34 Isotope/ Material Weight pct. 92.23 4.67 3.1 Free Scattering xs [b] 1.98 2.60 2.47 2.02 2.042 90Zr 28Si 91Zr 29Si 92Zr 30Si 94Zr natSi Si-SiC 96Zr natZr Zr-ZrH Up to 50% difference between isotopic & elemental scattering xs Isotope Effects in Thermal Neutron Scattering 4 4

  5. Different Scattering Lengths Isotope Effects in Thermal Neutron Scattering 5 5

  6. Resonances Some isotopes have resonances near (or sometimes IN) the thermal range Resonance theory is not currently incorporated into thermal scattering evaluations These can have a noticeable effect on the thermal scattering cross section Isotope Effects in Thermal Neutron Scattering 6 6

  7. Resonances Isotope Effects in Thermal Neutron Scattering 7 7

  8. Discussion Should information about the isotopic composition be provided in ENDF TSL files? Can anything be done regarding low-lying resonances? Try and match the TSL cross section with the resonance at a specific cutoff energy (tricky, but doable)? Implement resonances in thermal scattering (very difficult)? Isotope Effects in Thermal Neutron Scattering 8 8

  9. Acknowledgements This work was supported by the Nuclear Criticality Safety Program, funded and managed by the National Nuclear Security Administration for the Department of Energy Isotope Effects in Thermal Neutron Scattering 9 9

  10. References [1] https://www.ncnr.nist.gov/resources/n-lengths/ Isotope Effects in Thermal Neutron Scattering 10 10

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