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Research Articles

Evaluating Quantities of Interest Other Than Nuclide Densities in the Bateman Equations

ORCID Icon, &
Pages 2234-2250 | Received 15 Sep 2022, Accepted 16 Dec 2022, Published online: 13 Feb 2023

References

  • H. BATEMAN, “Solution of a System of Differential Equations Occurring in the Theory of Radioactive Transformations,” Proc. Camb. Philos. Soc. Math. Phys. Sci., 15, 423 (1910).
  • G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, Litton Educational Publishing, Inc. (1970).
  • M. PUSA, “Rational Approximations to the Matrix Exponential in Burnup Calculations,” Nucl. Sci. Eng., 169, 2, 155 (2011); https://doi.org/10.13182/NSE10-81.
  • M. GALE et al., “Using Griffin’s Transmutation Solver to Calculate Radiation Damage,” Proc. Int. Conf. Physics of Reactors 2022 (PHYSOR 2022), Pittsburgh, Pennsylvania, May 15–20, 2022, p. 836, American Nuclear Society (2022).
  • G. H. KINCHIN and R. S. PEASE, “The Displacement of Atoms in Solids by Radiation,” Rep. Prog. Phys., 18, 1, 1 (1955); https://doi.org/10.1088/0034-4885/18/1/301.
  • A. KONOBEYEV et al., “Evaluation of Effective Threshold Displacement Energies and Other Data Required for the Calculation of Advanced Atomic Displacement Cross-Sections,” Nucl. Energy Technol., 3, 3, 169 (2017); https://doi.org/10.1016/j.nucet.2017.08.007.
  • N. JUSLIN et al., “Simulation of Threshold Displacement Energies in FeCr,” Nucl. Instrum. Methods Phys. Res., Sect. B, 255, 1, 75 (2007); https://doi.org/10.1016/j.nimb.2006.11.046.
  • J. A. MASCITTI and M. MADARIAGA, “Method for the Calculation of DPA in the Reactor Pressure Vessel of Atucha II,” Sci. Technol. Nucl. Ins., 2011, 1 (2011); https://doi.org/10.1155/2011/534689.
  • S. CHEN et al., “Calculation and Verification of Neutron Irradiation Damage with Differential Cross Sections,” Nucl. Instrum. Methods Phys. Res., Sect. B, 456, 120 (2019); https://doi.org/10.1016/j.nimb.2019.07.011.
  • L. GREENWOOD, “A New Calculation of Thermal Neutron Damage and Helium Production in Nickel,” J. Nucl. Mater., 115, 2, 137 (1983); https://doi.org/10.1016/0022-3115(83)90302-1.
  • M. NORGETT, M. ROBINSON, and I. TORRENS, “A Proposed Method of Calculating Displacement Dose Rates,” Nucl. Eng. Des., 33, 1, 50 (1975); https://doi.org/10.1016/0029-5493(75)90035-7.
  • J. L. CONLIN et al., “NJOY21: Next Generation Nuclear Data Processing Capabilities,” EPJ Web Conf., 146, 09040 (2017); https://doi.org/10.1051/epjconf/201714609040.
  • R. E. MACFARLANE et al., “The NJOY Nuclear Data Processing System Version 2016,” User Manual LA-UR-17-20093, Los Alamos National Laboratory (2019).
  • J. LINHARD et al., “Integral Equations Governing Radiation Effects,” Matematisk-fysiske Meddelelser udgivet af Det Kongelige Danske Videnskabernes Selskab, 33, 10, (1963).
  • M. ROBINSON, “Energy Dependence of Neutron Radiation Damage in Solids,” Proc. Int. Conf. Nuclear Fusion Reactors, Culham, United Kingdom, 1969, p. 364, (1969); https://www.osti.gov/biblio/4019582.
  • D. SCHWEN, S. SCHUNERT, and A. JOKISAARI, “Evolution of Microstructures in Radiation Fields Using a Coupled Binary-Collision Monte Carlo Phase Field Approach,” Comput. Mater. Sci., 192, 110321 (2021); https://doi.org/10.1016/j.commatsci.2021.110321.
  • W. LI et al., “Threshold Displacement Energies and Displacement Cascades in 4H-SiC: Molecular Dynamic Simulations,” AIP Adv., 9, 5, 055007 (2019); https://doi.org/10.1063/1.5093576.
  • L. GREENWOOD and F. GARNER, “Hydrogen Generation Arising from the 59Ni(n, p) Reaction and Its Impact on Fission—Fusion Correlations,” J. Nucl. Mater., 233–237, 1530 (1996); https://doi.org/10.1016/S0022-3115(96)00264-4.
  • A. E. ISOTALO and W. A. WIESELQUIST, “A Method for Including External Feed in Depletion Calculations with CRAM and Implementation into ORIGEN,” Ann. Nucl. Energy, 85, 68 (2015); https://doi.org/10.1016/j.anucene.2015.04.037.
  • J. ORTENSI et al., “Griffin Software Development Plan,” INL/EXT-21-63185, ANL/NSE-21/23, Idaho National Laboratory and Argonne National Laboratory (2021); https://doi.org/10.2172/1845956.
  • C. J. PERMANN et al., “MOOSE: Enabling Massively Parallel Multiphysics Simulation,” SoftwareX, 11, 100430 (2020); https://doi.org/10.1016/j.softx.2020.100430.
  • G. MARLEAU, A. HEBERT, and R. ROY, “A User Guide for DRAGON Version 5,” User Manual IGE-355, Ecole Polytechnique de Montreal (2018).
  • M. PUSA and J. LEPPÄNEN, “Solving Linear Systems with Sparse Gaussian Elimination in the Chebyshev Rational Approximation Method,” Nucl. Sci. Eng., 175, 3, 250 (2013); https://doi.org/10.13182/NSE12-52.
  • K. NORDLUND et al., “Primary Radiation Damage in Materials Review of Current Understanding and Proposed New Standard Displacement Damage Model to Incorporate in Cascade Defect Production Efficiency and Mixing Effects,” Organisation for Economic Co-operation and Development, Nuclear Energy Agency (2015); http://inis.iaea.org/search/search.aspx?orig_q=RN:46066650.
  • C. A. HIRST et al., “Revealing Hidden Defects Through Stored Energy Measurements of Radiation Damage,” Sci. Adv., 8, 31 (2022); https://doi.org/10.1126/sciadv.abn2733.
  • O. CALVIN, S. SCHUNERT, and B. GANAPOL, “Global Error Analysis of the Chebyshev Rational Approximation Method,” Ann. Nucl. Energy, 150, 107828 (2021); https://doi.org/10.1016/j.anucene.2020.107828.
  • Y. LIANG and X. WANG, “Preliminary Sensitivity and Uncertainty Analysis of Accident Tolerant Fuel in SMR,” Proc. 29th Int. Conf. Nuclear Engineering (ICONE29), Shenzhen, China, August 18–22, 2022, American Society of Mechanical Engineers (2022).
  • G. ALIBERTI et al., “Nuclear Data Sensitivity, Uncertainty and Target Accuracy Assessment for Future Nuclear Systems,” Ann. Nucl. Energy, 33, 8, 700 (2006); https://doi.org/10.1016/j.anucene.2006.02.003.