Mathematical Modeling of the Efficiency Gadolinium Based Neutron Converters

Author(s)
Djamshed Alievich Abdushukurov

Affiliation(s)

Physical Technical Institute, Academy of Science of Republic of Tajikistan, Dushanbe, Tajikistan.

Physical Technical Institute, Academy of Science of Republic of Tajikistan, Dushanbe, Tajikistan.

ABSTRACT

Procedures of mathematical modeling of thin solid-state converters of neutrons are described and converters a foil from natural gadolinium and its 157 isotopes are viewed. Algorithms of calculation of absorption of neutrons in a material of converters, probabilities formation of secondary electrons, probability of an exit of electrons from a material of the converter and efficiency of converters are given. Calculation is made for various thicknesses of converters, and various wavelengths of neutrons. The optimal converter thicknesses are chosen.

Cite this paper

D. Abdushukurov, "Mathematical Modeling of the Efficiency Gadolinium Based Neutron Converters,"*Applied Mathematics*, Vol. 4 No. 8, 2013, pp. 27-33. doi: 10.4236/am.2013.48A005.

D. Abdushukurov, "Mathematical Modeling of the Efficiency Gadolinium Based Neutron Converters,"

References

[1] H. Rauch, F. Grass and B. Feigl, “Ein Neuartiger fur Langsame Neutronen,” Nuclear Instruments and Methods, Vol. 46, 1967, pp. 150-153.

[2] B. Feigl and H. Rauch, “Der Gd-Neutronenzahler,” Nu clear Instruments and Methods, Vol. 61, No. 3, 1968, pp. 349-356. doi:10.1016/0029-554X(68)90250-4

[3] D. A. Abdushukurov, “Gadolinium Foils as Converters of Thermal Neutrons in Detectors of Nuclear Radiation,” In: Physics Research and Technology, Nova Science Pub lishers Inc., New York, 2010, pp. 1-124.

[4] D. A. Abdushukurov, “Application of the Gadolinium Foils as Converters of Thermal Neutrons in Detectors of Nuclear Radiation,” In: C. C. Tompson, Ed., Gadolinium: Compounds, Production and Application, Chapter 2, Series: Chemical Engineering Methods and Technology, Nova Science Publishers Inc., New York, 2010, pp. 53-141.

[5] D. A. Abdushukurov, A. A. Djuraev, S. S. Evteeva et al., “Model Calculation of Gadolinium Based Converters of Thermal Neutrons,” Nuclear Instruments and Methods in Physics, Vol. 84B, 1994, p. 400.

[6] D. A. Abdushukurov, M. A. Abduvokhidov, D. V. Bon darenko, et al., “Modeling the Registration Efficiency of Thermal Neutrons by Gadolinium Foils,” Journal of In strumentation, Institute of Physics Publishing and SISSA. Archives of Los Alamos National Laboratory USA, 2007, 2007, pp. 1-19. http://arxiv.org/ftp/physics/papers/0611/0611225.pdf

[7] Evaluated Nuclear Data File, “IAEA-NDS,” ENDF. http://www.nndc.bnl.gov/exfor3/endf00.htm

[8] “Thermal Neutron Capture Gammas by Target, NDS, IA EA.” http://www-nds.iaea.org/oldwallet/tnc/ngtblcontentbyn.shtml

[9] Bricc 2.0a, “Band-Raman International Conversion Coef ficients,” BNL. http://www.nndc.bnl.gov/bricc/

[10] International Commission on Radiation Units and Meas urements, “Stopping Powers for Electrons and Positrons,” International Commission on Radiation Units and Meas urements, ICRU Rep. 37, No. 1, 1984, pp. 123-125.

[1] H. Rauch, F. Grass and B. Feigl, “Ein Neuartiger fur Langsame Neutronen,” Nuclear Instruments and Methods, Vol. 46, 1967, pp. 150-153.

[2] B. Feigl and H. Rauch, “Der Gd-Neutronenzahler,” Nu clear Instruments and Methods, Vol. 61, No. 3, 1968, pp. 349-356. doi:10.1016/0029-554X(68)90250-4

[3] D. A. Abdushukurov, “Gadolinium Foils as Converters of Thermal Neutrons in Detectors of Nuclear Radiation,” In: Physics Research and Technology, Nova Science Pub lishers Inc., New York, 2010, pp. 1-124.

[4] D. A. Abdushukurov, “Application of the Gadolinium Foils as Converters of Thermal Neutrons in Detectors of Nuclear Radiation,” In: C. C. Tompson, Ed., Gadolinium: Compounds, Production and Application, Chapter 2, Series: Chemical Engineering Methods and Technology, Nova Science Publishers Inc., New York, 2010, pp. 53-141.

[5] D. A. Abdushukurov, A. A. Djuraev, S. S. Evteeva et al., “Model Calculation of Gadolinium Based Converters of Thermal Neutrons,” Nuclear Instruments and Methods in Physics, Vol. 84B, 1994, p. 400.

[6] D. A. Abdushukurov, M. A. Abduvokhidov, D. V. Bon darenko, et al., “Modeling the Registration Efficiency of Thermal Neutrons by Gadolinium Foils,” Journal of In strumentation, Institute of Physics Publishing and SISSA. Archives of Los Alamos National Laboratory USA, 2007, 2007, pp. 1-19. http://arxiv.org/ftp/physics/papers/0611/0611225.pdf

[7] Evaluated Nuclear Data File, “IAEA-NDS,” ENDF. http://www.nndc.bnl.gov/exfor3/endf00.htm

[8] “Thermal Neutron Capture Gammas by Target, NDS, IA EA.” http://www-nds.iaea.org/oldwallet/tnc/ngtblcontentbyn.shtml

[9] Bricc 2.0a, “Band-Raman International Conversion Coef ficients,” BNL. http://www.nndc.bnl.gov/bricc/

[10] International Commission on Radiation Units and Meas urements, “Stopping Powers for Electrons and Positrons,” International Commission on Radiation Units and Meas urements, ICRU Rep. 37, No. 1, 1984, pp. 123-125.